WO2008041361A1 - Measurement device and measurement method using nuclear magnetic resonance method - Google Patents
Measurement device and measurement method using nuclear magnetic resonance method Download PDFInfo
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- WO2008041361A1 WO2008041361A1 PCT/JP2007/001055 JP2007001055W WO2008041361A1 WO 2008041361 A1 WO2008041361 A1 WO 2008041361A1 JP 2007001055 W JP2007001055 W JP 2007001055W WO 2008041361 A1 WO2008041361 A1 WO 2008041361A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N24/00—Investigating or analyzing materials by the use of nuclear magnetic resonance, electron paramagnetic resonance or other spin effects
- G01N24/08—Investigating or analyzing materials by the use of nuclear magnetic resonance, electron paramagnetic resonance or other spin effects by using nuclear magnetic resonance
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/28—Details of apparatus provided for in groups G01R33/44 - G01R33/64
- G01R33/32—Excitation or detection systems, e.g. using radio frequency signals
- G01R33/34—Constructional details, e.g. resonators, specially adapted to MR
- G01R33/341—Constructional details, e.g. resonators, specially adapted to MR comprising surface coils
- G01R33/3415—Constructional details, e.g. resonators, specially adapted to MR comprising surface coils comprising arrays of sub-coils, i.e. phased-array coils with flexible receiver channels
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/28—Details of apparatus provided for in groups G01R33/44 - G01R33/64
- G01R33/38—Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field
- G01R33/3808—Magnet assemblies for single-sided MR wherein the magnet assembly is located on one side of a subject only; Magnet assemblies for inside-out MR, e.g. for MR in a borehole or in a blood vessel, or magnet assemblies for fringe-field MR
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/28—Details of apparatus provided for in groups G01R33/44 - G01R33/64
- G01R33/38—Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field
- G01R33/383—Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field using permanent magnets
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/54—Signal processing systems, e.g. using pulse sequences ; Generation or control of pulse sequences; Operator console
- G01R33/56—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution
- G01R33/561—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution by reduction of the scanning time, i.e. fast acquiring systems, e.g. using echo-planar pulse sequences
- G01R33/5615—Echo train techniques involving acquiring plural, differently encoded, echo signals after one RF excitation, e.g. using gradient refocusing in echo planar imaging [EPI], RF refocusing in rapid acquisition with relaxation enhancement [RARE] or using both RF and gradient refocusing in gradient and spin echo imaging [GRASE]
- G01R33/5617—Echo train techniques involving acquiring plural, differently encoded, echo signals after one RF excitation, e.g. using gradient refocusing in echo planar imaging [EPI], RF refocusing in rapid acquisition with relaxation enhancement [RARE] or using both RF and gradient refocusing in gradient and spin echo imaging [GRASE] using RF refocusing, e.g. RARE
Definitions
- the present invention relates to a measuring apparatus and a measuring method using a nuclear magnetic resonance method, and more particularly to a technique for measuring a current at a specific portion of a sample using the nuclear magnetic resonance method.
- Non-patent Documents 1 and 2 include conventional methods for measuring the surface current distribution of a sample.
- Non-Patent Document 1 when measuring the current distribution in the surface direction of a fuel cell, the electrodes are divided into “divided electrodes”, and the individual currents flowing through each divided electrode are insulated. A method of measuring is described.
- Non-Patent Document 2 describes a method of measuring the strength of a magnetic field using a Hall element.
- the Hall element is an element having a characteristic that the electric resistance of the element changes according to the magnetic field strength applied to the element.
- this Hall element is moved closer to the fuel cell and spatially scanned to measure a spatial map of the magnetic field strength and analyze it as an inverse problem to obtain the current distribution.
- a method has been proposed.
- Non-patent document 1 Kazuo Onda et al., “Mechanical properties measurement of solid polymer fuel cell and analysis / measurement of current distribution”, Proceedings of the 1st 3rd Fuel Cell Symposium, 2006, p. 2 3 4-2 3 7
- Non-Patent Document 2 Masaaki Izumi, Yuji Goto, “Research and Development on Measurement Technology and Modeling of Polymer Electrolyte Fuel Cell”, NEDO Fuel Cell ⁇ Summary of Hydrogen Technology Development Interim Report Meeting, February 1999 2 Announced on 7th, p. 3 9-4 0
- a split electrode is incorporated. It is necessary to manufacture a fuel cell, and since it is actually measured with a device for measurement, there is a possibility that the measurement result may be different from the actual machine that does not use the divided electrode, and the reliability of the experimental data is improved There was room for. In addition, each time a new cell is designed and manufactured, the split electrodes must be designed and manufactured again, which is not practical in terms of increasing development costs.
- the magnetic field generated by the current flowing in the electrode is measured, but the magnetic field strength is almost equal to the strength of the geomagnetism. It is a weak value.
- the Hall element is required to have high resolution and high reproducibility.
- the Hall element when a Hall element is used for measurement of a fuel cell, the Hall element is sensitive to temperature changes, and is installed in and around a fuel cell that generates heat, and a magnetic field is generated by the Hall element.
- the relationship between the current or resistance value flowing through the Hall element measured at each temperature and the applied magnetic field strength can be used as a calibration curve in advance and applied to the fuel cell.
- the temperature of the hole element itself must be measured with very high accuracy, and a very time-consuming method of calculating the magnetic field from the calibration curve must be taken.
- a static magnetic field application unit that applies a static magnetic field to the sample
- a small RF coil smaller than the sample which applies an oscillating magnetic field for excitation to the sample and obtains a nuclear magnetic resonance signal generated at a specific location of the sample; Calculating a difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the excitation oscillating magnetic field, and calculating a current of the specific portion of the sample from the difference;
- a measuring device is provided.
- a static magnetic field applying unit that applies a static magnetic field to the solid polymer electrolyte membrane; and an oscillating magnetic field for excitation applied to the solid polymer electrolyte membrane, and generated at a specific location of the solid polymer electrolyte membrane.
- a plurality of small RF coils that are smaller than the solid polymer electrolyte membrane,
- a difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the oscillating magnetic field for excitation is calculated, and from the difference, the solid polymer electrolyte membrane A current distribution acquisition unit for acquiring an in-plane current distribution;
- a measuring device is provided.
- a method of locally measuring the current at a specific part of a sample using a nuclear magnetic resonance method is a method of locally measuring the current at a specific part of a sample using a nuclear magnetic resonance method.
- an excitation oscillating magnetic field is applied to a specific location of the sample placed in a static magnetic field using a small RF coil smaller than the sample, and a nuclear magnetic resonance signal generated at the specific location is acquired.
- a measurement method is provided.
- an excitation oscillating magnetic field is applied locally using a small RF coil smaller than the sample, and emitted from the location where the excitation oscillating magnetic field is applied.
- the obtained nuclear magnetic resonance signal is obtained, and the current at a specific portion of the sample is obtained from the obtained nuclear magnetic resonance signal.
- the measurement accuracy can be improved by using a nuclear magnetic resonance signal with high frequency resolution when obtaining the current.
- the measurement using the Hall element described above with reference to Non-Patent Document 2 is performed. Compared with methods that use absolute values, the effects of changes in the environment around the element, such as the temperature environment, and the need for a calibration curve can be reduced, so measurement accuracy can be further improved.
- the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation can be specifically obtained as (i i) below with respect to (i) below.
- the RF oscillator as an oscillating magnetic field for excitation has (remembered) “frequency that is the reference when no current is flowing”
- the above (i i) is measured, for example, as a phase change amount.
- the frequency of the excitation oscillating magnetic field is equal to the frequency of the nuclear magnetic resonance signal under the static magnetic field created only by the magnet, and the current flows.
- the "static magnetic field” is a completely stable magnetic field as long as the magnetic field is stable in time so that the nuclear magnetic resonance signal and current can be stably acquired. It may not be a magnetic field, and there may be some variation within that range.
- the obtained current is expressed as a spatial distribution. Therefore, it can be expressed as the current density divided by the area where the current flows.
- the measurement apparatus of the present invention may further include a detection unit that detects a real part and an imaginary part of the nuclear magnetic resonance signal, and the current calculation unit is detected by the detection unit.
- the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation oscillating magnetic field may be calculated using the imaginary part and the imaginary part.
- the real part and the imaginary part of the nuclear magnetic resonance signal are detected, and the frequency of the nuclear magnetic resonance signal and the frequency using the real part and the imaginary part are detected.
- the difference from the frequency of the oscillating magnetic field for excitation can also be calculated.
- the frequency difference can be obtained more simply and reliably.
- the excitation vibration magnetic field is used as a reference.
- the amount of change in phase at a certain time interval of the nuclear magnetic resonance signal or the difference between the two frequencies may be calculated.
- a storage unit that stores information indicating the correlation between the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation vibration magnetic field and the current, for example, calibration curve data
- the current calculation unit may acquire the information corresponding to the sample to be measured from the storage unit, and calculate the current based on the information.
- the sample to be measured in the present invention can be, for example, a film.
- the measurement apparatus of the present invention includes a plurality of the small RF coils, and the plurality of small RF coils apply the excitation oscillating magnetic field to a plurality of locations of the sample, and the nuclear magnetic resonance.
- a signal may be acquired, and the current calculation unit may be configured to calculate currents at the plurality of locations of the sample.
- the small RF coil applies, for example, the pulsed oscillating magnetic field, and also outputs a FID (Free Inductive Decay) signal corresponding to the oscillating magnetic field for excitation.
- the current calculation unit can acquire the real part and the imaginary part of the FID signal.
- the angle of tilting as a reference) is arbitrary.
- the small RF coil can apply an excitation oscillating magnetic field in the following sequence, for example, and can also acquire an echo signal corresponding to the excitation oscillating magnetic field.
- the excitation oscillating magnetic field is a pulse sequence including the above (a) and (b), and the current calculation unit uses the echo echo method to obtain the real part and imaginary part of the echo signal.
- the phase of the signal can be converged.
- measurement errors due to magnetic field inhomogeneities can be effectively reduced. For this reason, the measurement accuracy of the real part and the imaginary part of the nuclear magnetic resonance signal can be further improved.
- the real part and the imaginary part of the echo signal are detected, and the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation oscillating magnetic field is calculated using the real part and the imaginary part. You may calculate it.
- FID signal and "echo signal” are nuclear magnetic resonance signals that correspond to the excitation oscillating magnetic field and can detect the real part and the imaginary part. Any signal that functions as a signal may be used.
- the "pulse sequence" in the present invention is a sequence that defines a timing diagram for setting a time at which an excitation oscillating magnetic field is applied and its interval.
- the timing diagram also includes a procedure table for performing necessary operations in time series.
- another sequence in which a step of applying a 180 ° pulse is added at a time just before the 90 ° pulse (a) may be executed.
- the intensity of the N MR signal acquired with the 90 ° pulse (a) with the intensity of the N MR signal acquired by selecting the time at the 1 80 ° pulse (b) as appropriate, the irradiation from the RF coil It can be determined whether the intensity of the oscillating magnetic field for excitation corresponds exactly to 90 ° and 1800 °.
- the intensity of the two pulses is 1 to 2, or the irradiation energy is 1 to 4, or the pulse application time is 1 to 2, and the magnetization vector is excited to 90 ° and 1 80 ° respectively.
- an RF signal generation unit that generates an RF signal for generating the excitation oscillating magnetic field in the small RF coil, and an echo signal obtained by the small RF coil are detected, and An echo signal detection unit that sends an echo signal to the current calculation unit; and a branch unit that connects the small RF coil, the RF signal generation unit, and the echo signal detection unit; and the small RF coil and the RF
- a switch circuit that switches between a state in which the signal generation unit is connected and a state in which the small RF coil and the echo signal detection unit are connected can be provided.
- the pulse sequence of the excitation oscillating magnetic field may include the following (a), (b), and (c).
- N is a natural number.
- the current at a specific part of the sample is measured using an echo signal corresponding to the pulse (b) or (c), and Using a plurality of echo signals corresponding to the pulses of b) and (c), the amount of the protic solvent in the sample at the specific location can be measured.
- the measurement apparatus of the present invention includes a solvent amount calculation unit that calculates the amount of the protonic solvent in the sample based on the nuclear magnetic resonance signal acquired by the small RF coil, A switching unit that switches between a first measurement mode for measuring current and a second measurement mode for measuring the amount of the protonic solvent in the sample, and when in the first measurement mode, the current calculation The unit calculates the current at the specific location of the sample based on the difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the oscillating magnetic field for excitation, and the second measurement mode
- the solvent amount calculation unit may calculate the amount of the protonic solvent at the specific location in the sample based on the nuclear magnetic resonance signal acquired by the small RF coil. so That.
- the small RF coil acquires an echo signal corresponding to the excitation oscillating magnetic field, and the solvent amount calculation unit calculates from the intensity of the echo signal. , Calculate the T 2 relaxation time constant and calculate ⁇ 2 relaxation time constant From the number, the amount of the protic solvent at a specific location in the sample can also be calculated.
- the small RF coil applies the excitation oscillating magnetic field in a pulse sequence including (a), (b) and (c), and An FID signal corresponding to the pulse of (a) or an echo signal corresponding to the pulse of (b) or (c) is acquired, and in the second step, the FID signal corresponding to the pulse of (a) or the The difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation is calculated using the real part and the imaginary part of the echo signal corresponding to the pulse of (b) or (c). ) And above, in the small RF coil applies the excitation oscillating magnetic field in a pulse sequence including (a), (b) and (c), and An FID signal corresponding to the pulse of (a) or an echo signal corresponding to the pulse of (b) or (c) is acquired, and in the second step, the FID signal corresponding to the pulse of (a) or the The difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation is calculated using
- the T 2 relaxation time constant is calculated from the intensity of a plurality of echo signals corresponding to the pulse of (c), and the proton solvent at the specific location in the sample is calculated from the calculated ⁇ ⁇ 2 relaxation time constant.
- the amount of can also be calculated. More specifically, the above
- the current can be measured with the first pulse-corresponding signal in (b), and the moisture content can be measured using the subsequent n-pulse-corresponding signal group in (c).
- the measurement of the two physical quantities may be performed at the same time, or may be performed at different timings such as alternating.
- the acquisition of an echo signal for calculating the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation, and the echo signal for calculating the T 2 relaxation time constant Acquisition may be performed alternately.
- the nuclear magnetic and acquisition of echo signals for calculating the difference between the frequency of the resonance signal and the frequency of the excitation oscillating magnetic field, T 2 relaxation time E co one for calculating the constants Signal acquisition may be performed simultaneously.
- a small RF coil is used to (i) apply an excitation vibration magnetic field locally, and (ii) obtain an echo signal emitted from a location where the excitation vibration magnetic field is applied.
- the T 2 relaxation time constant (lateral relaxation) Sum the time constant) and measure the water content based on this. Since the pulse-echo method is applied with a small RF coil to limit the area to be measured, the local water content can be measured in a short time.
- the 90 ° pulse is in the first phase, and the n number of the 180 ° pulses are in the second phase shifted by 90 ° from the first phase. Can do.
- magnetic field inhomogeneities of the static magnetic field and excitation oscillating magnetic field occur, which may cause measurement errors in the T 2 relaxation time constant.
- the pulse sequence with the above configuration is 90 ° with the first phase as a 180 ° pulse. Since the one in the shifted second phase is used, by applying a 180 ° pulse, the nuclear magnetization is reversed in the rotating coordinate system, and this causes a measurement error factor due to the above magnetic field inhomogeneity. It will be resolved.
- Second phase 1 8 0 ° pulses since it is periodically applied, so that every time the measurement error factors are eliminated, it is possible to reliably obtain accurate T 2 relaxation time constant.
- a plurality of the small RF coils are provided, and in the second measurement mode, an excitation oscillating magnetic field is applied to a plurality of locations of the sample and an echo signal corresponding to the excitation oscillating magnetic field is acquired.
- the moisture content distribution of the sample may be presented based on the moisture content at the plurality of locations of the sample.
- a gradient magnetic field application unit that applies a gradient magnetic field to a sample, and a proton in the sample based on a nuclear magnetic resonance signal acquired by the small RF coil.
- a mobility calculation unit for calculating the mobility of the organic solvent, and a first measurement mode for measuring the current of the sample and a third measurement mode for measuring the mobility of the protonic solvent in the sample.
- a switching unit; and in the third measurement mode, the small RF coil applies the excitation vibration magnetic field to the sample, and the nuclear magnetic resonance corresponding to the excitation vibration magnetic field and the gradient magnetic field.
- the signal is acquired, and the mobility calculation unit supports different gradient magnetic fields.
- the mobility of the specific portion of the sample may be calculated based on the information of the nuclear magnetic resonance signal obtained as described above.
- a magnetic resonance signal is acquired, and in the first step, application of a gradient magnetic field to the sample is executed according to a predetermined pulse sequence; in the third step, the first step It is also possible to perform the application of the gradient magnetic field of step with different sizes according to a predetermined pulse sequence
- the small RF coil is used to (i) apply the excitation oscillating magnetic field and gradient magnetic field locally, and (ii) apply the excitation oscillating magnetic field and gradient magnetic field.
- the nuclear magnetic resonance signal emitted from the sample is acquired, and the mobility at a specific location of the sample is measured from the NMR signal obtained corresponding to different gradient magnetic fields. Since the spin echo method and gradient magnetic field NMR method are applied by limiting the measurement target area with a small RF coil, the local mobility of the protonic solvent in a predetermined region of the sample can be reduced in a short time. It can be measured.
- the "mobility” measured by the present invention refers to a physical property value representing the movement of a protonic solvent in a sample.
- Such physical property values include parameters such as self-diffusion coefficient and mobility (movement speed). Main departure According to Ming, one of these parameters can be obtained.
- different gradient magnetic fields includes a case where one gradient magnetic field is zero, that is, measurement performed without applying a gradient magnetic field.
- the first step may be performed without applying a gradient magnetic field.
- the gradient magnetic field application unit may take various modes. For example, it can be a gradient magnetic field application coil arranged away from a small RF coil, or a planar coil provided in the same plane as the small RF coil. Alternatively, a pair of gradient magnetic field application coils arranged with a small RF coil in between may be used. Alternatively, these configurations may be arbitrarily combined.
- the pair of gradient magnetic field applying coils may have a substantially half-moon planar shape, and half-moon strings may be arranged to face each other toward the small RF coil.
- a substantially half-moon shape means that a pair of planar coils have a chord-like straight line region, and a gradient magnetic field that inclines in a direction perpendicular to the straight line region by arranging them in a sample. The configuration can be applied, and if the application of such a gradient magnetic field is possible, the plane shape of the moon shape of the coil may be larger or smaller than half a month.
- the sample may include a matrix made of a solid or a gel.
- the solvent amount calculation unit and the mobility calculation unit can be configured to calculate the amount and mobility of the protonic solvent contained in the matrix, respectively.
- Examples of such a sample include a film containing moisture, for example, a solid electrolyte film used for a fuel cell or the like.
- the protonic solvent refers to a solvent that dissociates itself to generate proton.
- Protonic solvents include, for example, water; alcohols such as methanol and ethanol;
- Carboxylic acids such as acetic acid
- Liquid ammonia is mentioned.
- water and alcohol are solvents that can more easily measure the mobility or the amount of solvent in the present invention.
- FIG. 1 is a flowchart showing a procedure for measuring current in the embodiment.
- FIG. 2 is a diagram for explaining a compensation function of the CPMG method.
- FIG. 3 is a flowchart showing a procedure for measuring a water content in the embodiment.
- FIG. 4 A diagram for explaining the principle of acquiring the N MR signal by the spin echo method.
- FIG. 5 is a diagram showing an example of a pulse sequence for self-diffusion coefficient measurement.
- FIG. 6 is a flowchart showing the procedure for measuring the self-diffusion coefficient in the embodiment.
- FIG. 7 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
- FIG. 8 is a diagram showing an example of an LC circuit that performs application of an oscillating magnetic field for excitation and detection of an NMR signal of the measurement apparatus in the embodiment.
- FIG. 9 is a diagram showing a configuration of a switch unit of the measuring apparatus in the embodiment.
- FIG. 10 is a diagram for explaining a phase difference shift of an N M R signal.
- FIG. 11 is a perspective view showing an arrangement example of a plurality of small RF coils of the measuring apparatus in the embodiment.
- FIG. 12 is a diagram showing a configuration of an output unit of the measurement apparatus in the embodiment.
- FIG. 13 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
- FIG. 14 is a diagram showing a configuration of a control unit of the measurement apparatus in the embodiment.
- FIG. 15 is a flowchart showing a measurement procedure in the embodiment.
- FIG. 16 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
- FIG. 17 is a diagram showing a configuration of a G coil of the measuring apparatus in the embodiment.
- FIG. 18 is a flowchart showing a measurement procedure in the embodiment.
- FIG. 19 is a diagram showing a schematic configuration of a measuring apparatus in an embodiment.
- FIG. 20 is a diagram for explaining a method of measuring current in the example.
- FIG. 21 is a view showing a sample used in an example.
- FIG. 22 is a diagram showing an echo signal in the example.
- FIG. 23 is a diagram showing a temporal change in phase difference in the example.
- FIG. 24 is a diagram showing an echo signal in the example.
- FIG. 25 is a diagram showing a temporal change in phase difference in the example.
- FIG. 26 is a diagram showing an echo signal in the example.
- FIG. 27 is a diagram showing a temporal change in phase difference in the example.
- FIG. 28 is a diagram showing the relationship between current and frequency shift in the example.
- FIG. 29 is a diagram showing an echo signal in the example.
- FIG. 30 is a diagram showing a temporal change in phase difference in the example.
- FIG. 31 is a diagram showing the relationship between current and frequency shift in the examples.
- FIG. 32 is a diagram for explaining a method of measuring current in the example.
- FIG. 33 is a diagram showing a part of a configuration of a current measuring apparatus in an example.
- FIG. 34 is a diagram for explaining a method of measuring current in the example.
- FIG. 35 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 36 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 37 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 38 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 39 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 40 is a diagram showing a relationship between current and frequency shift in the example.
- FIG. 41 is a diagram showing a configuration of a measurement apparatus in the embodiment.
- FIG. 42 is a diagram showing a time change of the F I D signal in the example.
- FIG. 43 is a diagram showing a time change of the phase difference in the example.
- FIG. 44 is a diagram for explaining the time change of the phase difference in the example.
- FIG. 45 is a diagram showing the time change of the F I D signal in the example.
- FIG. 46 is a diagram showing a time change of the phase difference in the example.
- FIG. 47 is a diagram showing a temporal change in phase difference in the example.
- FIG. 48 is a diagram showing a time change of the F I D signal in the example.
- FIG. 49 is a diagram showing a temporal change in phase difference in the example.
- FIG. 50 is a diagram showing a temporal change in phase difference in the example.
- FIG. 51 is a diagram showing a time change of the F I D signal in the example.
- FIG. 52 is a diagram showing a temporal change in phase difference in the example.
- FIG. 53 is a diagram showing the time change of the phase difference in the example.
- FIG. 54 is a diagram showing the relationship between current and frequency shift in the example.
- FIG. 55 is a diagram showing directions of a static magnetic field H 0 and a magnetic field H i used for the analysis in the example.
- FIG. 56 is a perspective view showing the positions of the copper plate, RF detection coil, and water sample in the magnetic field analysis in the example.
- FIG. 57 is a diagram showing a coordinate system used for magnetic field analysis in an example.
- FIG. 58 is a diagram showing an analysis result in the example.
- FIG. 59 is a diagram showing the relationship between the frequency shift amount ⁇ and the current I in the example.
- FIG. 60 is a diagram showing the configuration of the small surface coil used in the example.
- FIG. 61 is a diagram showing the relationship between the current I and the frequency shift amount ⁇ in the example.
- FIG. 62 is a cross-sectional view showing a schematic configuration of ⁇ ⁇ in the example.
- FIG. 63 is a diagram showing current flowing through the collector electrode and the PEM in the example.
- FIG. 64 is a diagram showing an analysis result of a frequency shift amount ⁇ in the example.
- FIG. 65 is a diagram showing a configuration of a small surface coil used in Examples.
- FIG. 66 is a diagram showing a coil placed on a force-pong mesh in an example.
- FIG. 67 is a diagram showing a measurement result of a frequency shift amount ⁇ in the example.
- FIG. 68 is a cross-sectional view showing a schematic configuration of ⁇ ⁇ ⁇ used in the analysis in this example.
- FIG. 69 is a diagram showing an analysis result of a frequency shift amount in the example.
- FIG. 70 is a cross-sectional view showing a schematic configuration of M EA in an example.
- FIG. 71 is a diagram showing a frequency shift obtained by measurement and analysis in the example.
- FIG. 72 is a cross-sectional view showing the arrangement of M EA and small coils in the example.
- FIG. 73 is a diagram showing the measurement timing of P G S E and C P M G in an example.
- FIG. 74 is a diagram showing a time change of a current flowing through M E A in the P G S E measurement of the example.
- FIG. 75 is a diagram showing the time change of the voltage applied to M E A in the P G S E measurement of the example.
- FIG. 76 is a diagram showing the measurement result of the frequency shift amount and the analysis result of the frequency shift amount in the PGSE measurement of the example.
- FIG. 77 is a diagram showing the time change of the frequency shift amount in the PGSE measurement of the example.
- FIG. 78 is a diagram showing temporal changes in echo signal intensity measured by the anode coil in the CPMG measurement of the example.
- FIG. 79 is a diagram showing temporal changes in echo signal intensity measured by the cathode side coil in the CPMG measurement of the example.
- FIG. 80 is a diagram showing the relationship between the water content in P EM and the signal intensity in the example.
- the current measurement mode is also referred to as a first measurement mode.
- Figure 1 is a flowchart showing an overview of the current measurement procedure.
- the following steps are performed sequentially, and the current at a specific part of the sample is measured locally using the nuclear magnetic resonance (N M R) method.
- N M R nuclear magnetic resonance
- the motion of nuclear magnetization can be detected as an NMR signal by the spin resonance phenomenon of a nucleus placed in a magnetic field. If the NMR signal is measured using a small surface coil (small RF coil), local NMR measurement around the coil becomes possible.
- Step 3 0 1 Place the sample in the space where the magnet is placed and apply a static magnetic field to the sample.
- Step 3 0 3 Apply a vibrating magnetic field for excitation to a specific part of a sample placed in a static magnetic field using a small RF coil that is smaller than the sample, and generate a nuclear magnetic resonance (NMR) signal generated at the specific part.
- NMR nuclear magnetic resonance
- Step 3 0 5 Calculate the difference between the frequency of the nuclear magnetic resonance signal acquired in Step 3 0 3 and the frequency of the oscillating magnetic field for excitation.
- Step 3 07 Obtain the current at a specific part of the sample from the difference obtained in Step 3 0 5, and
- Step 3 0 9 Then, output the result.
- Step 3 0 3 Application of high frequency pulse for excitation and acquisition of NMR signal
- a high frequency pulse applied to the measurement target nucleus in the sample is applied as an oscillating magnetic field for excitation.
- the NMR signal emitted from the measurement target nucleus in the sample is acquired by the nuclear magnetic resonance phenomenon caused by the oscillating magnetic field for excitation.
- the NMR signal is specifically an echo signal corresponding to the excitation high-frequency pulse. It is preferable that the phase of the echo signal is converged so that the frequency difference in Step 3 0 5 can be obtained reliably. Further, it is preferable to apply the high-frequency pulse in a pulse sequence in which the phases of the echo signals are matched.
- the NMR signal is detected by separating the real part and the imaginary part by a phase sensitive detection method. As a result, the calculation of the frequency difference in step 300 is easily performed.
- the difference (frequency shift) between the frequency of the NMR signal acquired in step 303 and the frequency of the oscillating magnetic field for excitation is obtained.
- the phase difference ⁇ 0 is obtained by calculating the real part and the imaginary part of the echo signal acquired by the phase sensitive detection method. Then, the frequency shift ⁇ is converted as a phase difference ⁇ per unit time.
- the current is calculated from the frequency difference ⁇ obtained in Step 3 0 5.
- the calculation principle of the current will be explained.
- the resonance frequency ⁇ of nuclear magnetization is directly proportional to the magnetic field strength H. If the magnetic resonance signal is acquired by the small detection coil, the small detection coil In other words, the magnetic field strength H in the region measured by the magnetic field is indirectly measured as the magnetic resonance frequency ⁇ .
- the frequency difference ⁇ obtained in step 305 is obtained.
- the current j flowing through the sample can be obtained.
- the NMR detection method has a frequency resolution of the order of p pm, and this makes it possible to capture changes in magnetic field strength with high resolution and high sensitivity.
- the frequency of the oscillating magnetic field for excitation is 43 MHz, a resolution of about 10 Hz can be obtained sufficiently.
- the spin echo method is used, and the high frequency pulse for excitation is, for example, a pulse sequence including a plurality of pulses including the following (a) and (b).
- the resonance excited magnetization vector M- y relaxes with time.
- the time change of the magnetic resonance signal actually observed at this time is relaxed by the spin-lattice relaxation time constant T and another time constant ⁇ 2 * that cannot be expressed by the spin-spin relaxation time constant T 2 alone.
- T spin-lattice relaxation time constant
- ⁇ 2 * time constant that cannot be expressed by the spin-spin relaxation time constant T 2 alone.
- spin echo is a method for correcting the phase shift due to magnetic field inhomogeneity as a sample or device characteristic. This is because the phase of the magnetization vector M is disturbed on the xy plane by applying a 180 ° excitation pulse with twice the excitation pulse intensity after the 90 ° excitation pulse. middle reverses the disturbance of the phase, after 2 Te time is a method of obtaining an echo signal to get on and converges the phase T 2 decay curves on.
- the 180 ° excitation pulse applied in (b) above may be either the X direction or the Y direction, either the 180 ° excitation pulse. Can be used.
- the phase of the magnetization vector can be converged and an echo signal as strong as possible can be obtained.
- an echo signal the real and imaginary parts of the NMR signal can be detected with higher accuracy, and the amount of phase change from the reference frequency can be determined reliably.
- the moisture content measurement mode is hereinafter also referred to as a second measurement mode.
- FIG. 3 is a flowchart showing an outline of moisture content measurement.
- the sample is placed in the space where the magnet is arranged, and a static magnetic field is applied to the sample (S 10 02).
- an excitation oscillating magnetic field (high frequency pulse) is applied to the sample via a small RF coil, and the corresponding N MR signal (echo signal) is acquired (S 104).
- a T 2 relaxation time constant is calculated from this echo signal (S 10 06). And from the obtained T 2 relaxation time constant, to measure the local water content in the sample (S 1 0 8). Specifically, to get the de-one data showing the correlation between the water content and the T 2 relaxation time constant of the sample, from this data and the T 2 relaxation time constant, contact to a particular location in the sample Find the local water content. After that, the result is output (S 1 1 0). By performing the above procedure (Step 104 to Step 110) via each small RF coil, the distribution of moisture content can be grasped.
- step 104 to step 108 will be specifically described.
- Step 104 Applying excitation RF pulse and acquiring N MR signal
- the excitation high-frequency pulse in step 104 is preferably a pulse sequence composed of a plurality of pulses, and an echo signal group corresponding to the pulse sequence is acquired. In this way, the T 2 relaxation time constant can be obtained accurately.
- the pulse sequence preferably includes the following (a), (b) and (c).
- n 1 80 ° pulses (n is a natural number) that starts after the lapse of time 2 of the pulse in (b) and is applied at intervals of time 2
- Hydrogen nuclei placed in a static magnetic field have a net magnetization vector in the direction along the static magnetic field (for convenience, the Z direction), and RF of a specific frequency (this is called the resonance frequency).
- the resonance frequency By irradiating a wave from the outside in the X-axis direction perpendicular to the Z-axis, the magnetization vector tilts in the positive direction of the Y-axis, and a nuclear magnetic resonance signal (referred to as the NMR signal) can be observed.
- the excitation pulse in the X-axis direction irradiated to obtain the maximum intensity N MR signal is called a 90 ° pulse.
- the magnetization vector After tilting in the positive direction of the Y axis with a 90 ° pulse, irradiate an external 1 80 ° excitation pulse in the ⁇ axis direction '' after a while, and reverse the magnetization vector ⁇ with the axis symmetric '' Let As a result, after two hours, the magnetization vector converges on the “positive direction” of the ⁇ axis, and an N MR signal with a large amplitude is observed.
- Figures 2 (a) to 2 (d) illustrate the compensation function of the spin echo method.
- the coordinates shown in the figure are a rotating coordinate system.
- the nuclear magnetization P which had a more advanced phase, has a phase that is later than Q, so that both nuclear magnetizations reach the y 'axis at the same time. (Fig. 2 (d)).
- the magnetization vector converges on the “positive direction” of the Y axis, and an echo signal having a large amplitude is observed. Furthermore, in the above (c), after 3 hours, the magnetization vector is irradiated with an external 180 ° excitation pulse in the “Y-axis direction” and converged again on the “positive direction” of the vertical axis. Then, an echo signal with a large amplitude is observed after 4 hours. In addition, continue to irradiate 1 80 ° pulse at the same interval of two.
- Step 1 06 (Calculation of T 2 relaxation time constant)
- p is the density distribution of the target nuclide as a function of the position (X, y, z)
- TR is the 90 ° excitation pulse repetition time (from about 10 Oms to about 10 s)
- TE is the echo time (2ms, about 1 ms to 10 Oms)
- A is a constant that represents the RF coil detection sensitivity and device characteristics such as amplifier.
- Step 1 06 as described above, Step 1 04 plurality of echo signal groups riding on the obtained T 2 decay curves on the (on 2, 4 Te, Te 6, ⁇ ⁇ ⁇ ) an exponential By fitting with ⁇ 2, the relaxation time constant ⁇ 2 can be obtained from the above equation ( ⁇ ).
- Step 1 08 (Calculation of water content)
- the water content is calculated from the T 2 relaxation time constant.
- the amount of water in the sample and the T 2 relaxation time constant have a positive correlation, and the ⁇ 2 relaxation time constant increases as the amount of water increases. Since this correlation varies depending on the type and form of the sample, it is desirable to prepare a calibration curve for a sample of the same type as the sample to be measured whose moisture concentration is known in advance. In other words, it is desirable to measure the relationship between the moisture content and the ⁇ 2 relaxation time constant for a plurality of standard samples with known moisture content, and obtain a calibration curve representing this relationship in advance. By referring to the calibration curve created in this way, the amount of water in the sample can be calculated from the measured value of the ⁇ 2 relaxation time constant.
- the mobility measurement mode is also called the third measurement mode below.
- a pair of gradient magnetic field pulses pulsed gradient magnetic field
- N nuclei move due to Brownian motion or diffusion, and the phase of the nuclear spin does not converge, so the intensity of the N MR signal decreases.
- the self-diffusion coefficient of a specific molecular species can be measured by associating the gradient magnetic field pulse changed stepwise with the decrease in the intensity of the NMR signal. This is the principle of measurement of the self-diffusion coefficient by the PGS E method.
- FIG. 5 is a diagram showing an example of a PGS E sequence used for measuring the self-diffusion coefficient.
- a pair of gradient magnetic field pulses Gz with the same application time and intensity are applied to the spin echo sequence described above with reference to FIG. N
- a spin echo signal is acquired as the MR signal.
- the peak intensity S of the obtained N MR signal is the applied pulse gradient magnetic field intensity G z
- D, ⁇ , and G z indicate the pulse width of the gradient magnetic field pulse, the time interval between the pair of gradient magnetic field pulses, and the magnetic field gradient (z direction) of the gradient magnetic field pulse, respectively.
- ⁇ represents the gyromagnetic ratio, which is a value intrinsic to the nucleus. For example, in the case of hydrogen nucleus 1 H, the gyromagnetic ratio 42. 577 X 1 0 2 [1 / ga
- FIG. 6 is a flowchart for measuring the mobility of a specific portion of a sample using the PGS E method as described above, and includes the following steps.
- an oscillating magnetic field for excitation and a gradient magnetic field are applied to the same region in the sample, and a corresponding N MR signal is acquired via a small RF coil (S 204).
- Fig. 6 shows a case where no gradient magnetic field is applied in step 202, but in step 202, a gradient magnetic field having a magnitude different from that in step 204 is applied in accordance with a predetermined pulse sequence. May be executed. At this time, for example, it is preferable to set the magnitude of the gradient magnetic field in step 202 to a value close to zero.
- the self-diffusion coefficient D is calculated from a plurality of N MR signals obtained by changing the gradient of the pulse gradient magnetic field stepwise (S206).
- step 206 based on the self-diffusion coefficient D calculated in step 206, other parameters indicating the mobility of water in the sample may be calculated. After that, the result is output (S208).
- Step 202 to Step 208 By performing such operations (Step 202 to Step 208) via each small RF coil, the distribution of the self-diffusion coefficient can be grasped.
- Step 202 and Step 204 Application of excitation oscillating magnetic field, application of gradient magnetic field and acquisition of N M R signal
- an excitation oscillating magnetic field and a gradient magnetic field are applied to the sample according to a predetermined pulse sequence.
- the excitation oscillating magnetic field is a pulse sequence composed of a plurality of pulses
- the gradient magnetic field is a pair of pulse sequences corresponding to the excitation oscillating magnetic field.
- step 202 the gradient magnetic field is set to a value close to zero or close to zero, and in step 204, a predetermined gradient magnetic field is applied.
- the pulse sequence is preferably composed of the following (a) to (d).
- (b) the time to finish applying the gradient magnetic field pulse and (d) the time to start applying the gradient magnetic field pulse are as follows.
- (C) 1 80 ° pulse (even though it has a width of 120 microseconds. Considering 60 microseconds at the center as the axis of symmetry), the time is equal ((34.5 m s- (1) 5 ms) / ⁇ 6.5 ms), and
- the N MR signal corresponding to the pulse sequence is measured.
- the peak intensity S of the NMR signal is measured by the spin echo method. Specifically, as shown in Fig. 5, the peak intensity S of the echo signal that appears in time 2 is measured.
- the peak intensity S may be an average value of NMR signal intensities measured not only in the 2 hour NMR signal intensity but also in the surrounding time. This method can reduce variations in measured values caused by noise included in the NMR signal.
- step 204 the step of executing the excitation oscillating magnetic field and the gradient magnetic field according to a predetermined pulse sequence, and the step of acquiring the NMR signal corresponding to this pulse sequence are performed once or a plurality of times. Run once.
- step 206 the self-diffusion coefficient D of water at a specific location of the sample is obtained from the peak intensity of the NMR signal obtained in steps 202 and 204.
- the self-diffusion coefficient D of the proton is expressed by the above formula (I I) using the peak intensity S of the NMR signal obtained by the PGS E method.
- the sample The self-diffusion coefficient D of the inner proton can be obtained.
- the same location in the sample is measured by changing the magnitude of the gradient magnetic field G, and I n ( By plotting the relationship between S / S 0 ) and 1 2 DA 2 d G 2 , the self-diffusion coefficient D can be obtained from the slope of the plot.
- (B) measurement of moisture content and (C) measurement of mobility described above may be performed by switching measurement modes. It is also possible to calculate the distribution of water molecule movement based on the water content calculated in each measurement mode and the water mobility.
- FIG. 7 is a diagram showing a schematic configuration of the measuring apparatus 300 according to the present embodiment.
- Each component of the measuring apparatus 300 is realized by an arbitrary combination of hardware and software, mainly a CPU, a memory, and a program that implements the components shown in FIG. It will be understood by those skilled in the art that there are various variations in the implementation method and apparatus.
- Measuring device 300 is a device that locally measures the current at a specific location of sample 1 15 using the NMR method.
- a static magnetic field application unit (magnet 1 1 3) that applies a static magnetic field to sample 1 1 5, an oscillating magnetic field for excitation to sample 1 1 5, and N generated at a specific location on sample 1 1 5 Small RF coil 1 1 4 smaller than sample 1 1 5 to acquire MR signal, and
- the current calculation unit 303 calculates the difference ⁇ between the frequency of the N MR signal acquired by the small RF coil 1 1 4 and the frequency of the oscillating magnetic field for excitation, and calculates the current at a specific location of the sample 1 1 5 from the difference. Is provided.
- the measurement apparatus 300 includes an RF oscillator 10 02, a modulator 104, an RF amplifier 10 06, a preamplifier 1 1 2, a detector 301, an A / D converter 1 1 8, and a switch unit 1.
- the measuring device 300 may have a structure described later with reference to FIG.
- Sample 1 1 5 is a sample to be measured.
- the sample 1 15 can be in various forms such as a membrane, a solid such as a lump, a liquid, agar, a gel such as a jelly.
- the measurement result of local water content can be obtained stably.
- a membrane having a property of retaining moisture in the membrane such as a solid electrolyte membrane, is used as a sample, the measurement result can be obtained more stably.
- the sample mounting table 1 1 6 is a table on which the sample 1 1 5 is mounted, and a sample having a predetermined shape and material can be used.
- Magnet 1 1 3 applies a static magnetic field to sample 1 1 5 (S 3 0 1 in FIG. 1). With this static magnetic field applied, an oscillating magnetic field for excitation is applied to the sample, and the current is measured.
- the small RF coil 1 1 4 applies an excitation oscillating magnetic field to a specific part of the sample 1 1 5 and acquires an NMR signal corresponding to the excitation oscillating magnetic field (S 3 0 3 in Fig. 1). )
- the NMR signal is a high-frequency pulse for the excitation oscillating magnetic field to generate nuclear magnetic resonance.
- the small RF coil 1 1 4 is preferably 1/2 or less, more preferably 10 or less, of the size of the entire sample. By using such a size, it becomes possible to accurately measure the local mobility of the proton solvent in the sample in a short time.
- the sample size can be, for example, the projected area when the sample is placed, and the exclusive area of the small RF coil 1 14 is preferably 1/2 or less of the projected area, more preferably By setting it to 1/10 or less, accurate measurement can be performed in a short time.
- the size of the small RF coil 1 14 is preferably, for example, a diameter of 1 O mm or less. As the small RF coil 1 1 4, for example, the one shown in FIG. 33 (a) described later in the embodiment can be used.
- the planar coil as shown in the figure, it is possible to limit the measurement region and perform local measurement.
- the measurement area of such a spiral coil has a width of about the coil diameter and a depth of the coil radius, for example.
- this coil is different from an ordinary solenoid coil, and is flat, so that NMR signals can be acquired simply by pasting on a flat sample.
- the small RF coil 1 1 4 is not limited to a flat spiral coil, and various types of RF coils can be used.
- a planar 8-shaped coil (sometimes called a butterfly coil, Doub I e _D type coil, etc.) is also available.
- the figure 8 coil includes two spiral coils, and the NMR from the sample, even if the coil's spiral axis is parallel to the direction of the main magnetic field of the magnet, or when both are at an angle. The signal can be detected.
- the spiral coil has sensitivity in the axial direction of the wound coil, whereas the figure 8 coil has sensitivity in the same plane as the wound coil.
- the oscillating magnetic field (exciting oscillating magnetic field) applied by the small RF coil 1 1 4 is the RF oscillator 1 02, the modulator 1 04, the RF amplifier 1 06, the pulse controller 1 08, It is generated by the linkage of the switch unit 1 61 and the small RF coil 1 1 4.
- the RF pulse generator that generates an RF pulse for generating an oscillating magnetic field for excitation in the small RF coil 1 14 includes an RF oscillator 10 2, a modulator 1 04, and an RF amplifier 1 06. Composed.
- the excitation oscillating magnetic field oscillated from the RF oscillator 102 is modulated by the modulator 104 based on the control by the pulse control unit 108 and becomes a pulse shape.
- the generated RF pulse is amplified by the RF amplifier 106 and then sent to the small RF coil 1 14.
- the reference frequency is matched to the resonance frequency of the NMR signal when no current is flowing. This resonance frequency is stored in the RF oscillator 102.
- the pulse control unit 10 8 controls the above cooperation so that the excitation oscillating magnetic field applied to the sample 1 1 5 by the small RF coil 1 1 4 is executed according to the pulse sequence described above. To do.
- the pulse control unit 1 0 8 is connected to the sequence table 1 2 7 and the time measuring unit 1 2 8, and the sequence data acquired from the sequence table 1 2 7 and the measurement time in the time measuring unit 1 2 8 are used. Based on this, a high frequency pulse is generated.
- the sequenceable 1 2 7 stores the sequence data of the high frequency pulse when measuring the current.
- the sequence table 1 27 stores a timing diagram in which the generation time and interval of the high-frequency pulse are set, and the intensity of the high-frequency pulse to be applied based on the timing diagram.
- the small R F coil 1 1 4 applies this R F pulse to a specific location of the sample 1 1 5 placed on the sample mounting table 1 1 6.
- the small RF coil 1 1 4 acquires the NM R signal of the applied RF pulse.
- the NMR signal is, for example, an echo signal corresponding to an oscillating magnetic field for excitation.
- the frequency of the echo signal changes from the reference frequency described above due to the magnetic field formed by the flow of current. For this reason, the current flowing through the sample 115 is obtained from the difference in the frequency of the measured echo signal by acquiring the relationship between the frequency change (difference) and the current value in advance.
- the frequency difference can be obtained by converting the amount of phase change at a certain time interval per unit time.
- the exciting oscillating magnetic field applied to the sample 1 1 5 by the small RF coil 1 1 4 is, for example,
- the small RF coil 1 14 When the small RF coil 1 14 is used, it may be difficult to adjust the excitation pulse intensity of the above (a) and (b). For example, in the region to be measured, that is, the region surrounded by the small RF coil 1 1 4 It is difficult to excite so that the whole is at a uniform excitation angle, that is, the intensity ratio of the excitation magnetic field in (a) and (b) is constant. There is a case. If the excitation angle ratio in (a) and (b) varies, an appropriate spin echo signal cannot be obtained, and accurate measurement of the current becomes difficult.
- (a) a 90 ° pulse is in the first phase
- (b) 1 80 ° pulse is in a second phase that is 90 ° away from the first phase.
- the N MR signal detection unit detects the N MR signal acquired by the small RF coil 1 14 and sends this NMR signal to the calculation unit 130.
- the NMR signal detector includes a preamplifier 1 1 2, a detector 301 and an A / D converter 1 1 8. The detected NMR signal is amplified by the preamplifier 1 1 2 and then sent to the detector 301.
- the detector 301 is configured to detect the real part and the imaginary part of the NMR signal by the phase sensitive detection method.
- the phase difference between the sine wave and the cos wave of the fundamental wave that is the source of demodulation is precisely 90 degrees. It is preferable to adjust to. By adjusting the two fundamental waves so that the phase difference is exactly 90 degrees, the phase difference can be calculated more accurately using the real part and imaginary part tan- 1 described later. Note that the reference wave that is the source of demodulation is Made by the 90 ° hybrid described.
- the detector 30 1 sends the detected real part and imaginary part to the A / D converter 1 1 8.
- the A / D converter 1 1 8 converts the N MR signal from A / D and sends it to the data reception unit 1 3 1.
- the calculation unit 130 including the current calculation unit 303 acquires the data sent to the data reception unit 1 3 1.
- FIG. 8 is a diagram showing an example of such an LC circuit.
- the coil part (inductance part) of the resonant circuit is a small RF coil with a diameter of 1.4 mm.
- NMR nuclear magnetic resonance
- the number density and spin relaxation time constant can be measured by detecting the movement of nuclear magnetization as an N MR signal by the spin resonance phenomenon of the nucleus placed in a magnetic field.
- the spin resonance frequency in the magnetic field of 1 Tes Ia is about 43 MHz, and an LC resonance circuit as shown in Fig. 8 is used to selectively detect the frequency band with high sensitivity.
- the switch section 1 6 1 is provided at the branch section connecting the small RF coil 1 1 4, the RF amplifier 1 06 and the preamplifier 1 1 2, and the small RF coil 1 1 4 and RF The first state where the signal generator (RF amplifier 106) is connected, and
- the switch section 1 6 1 serves as a “transmission / reception switching switch”. The role of this is to transmit the excitation pulse amplified by RF p ower-amp to the small RF coil 1 1 4, disconnecting the receiving preamplifier 1 1 2 and protecting it from a large voltage, and N after excitation
- the switch section 1 6 1 is required for the following reasons in order to handle weak signals.
- the cross diode is a diode that is turned on when a voltage equal to or higher than a predetermined value is applied, and is turned off when the voltage is lower than the predetermined value.
- the sample volume that can be detected by the small coil of this measurement system is smaller than that of the large coil. This detectable sample volume is approximately (coil inner area x coil radius depth).
- This detectable sample volume is approximately (coil inner area x coil radius depth).
- preamplifier 1 1 2 When using the high sensitivity preamplifier 1 1 2, preamplifier 1 1 2 must be disconnected so that preamplifier 1 1 2 can be protected from the high voltage excitation pulses sent to the small coil during transmission.
- the excitation pulse intensity is very large and the loss at the cross diode can be considered to be negligibly small, but in the case of a small coil, the excitation pulse intensity is smaller than that of the large coil.
- the loss at the cross diode cannot be ignored. For this reason, in order to obtain an appropriate excitation pulse intensity, a “transmission / reception switching switch” with minimal loss is required.
- the RF detection coil for local measurement is miniaturized, and low noise during NMR reception is an important factor for ensuring the accuracy of measurement.
- the noise that enters the preamplifier 1 1 2 mainly includes an RF wave transmission system. RF leakage from the RF amplifier 1 06 that amplifies the excitation pulse and high power There is noise generated by the amplifier.
- the switch unit 1 61 can employ various configurations.
- FIG. 9 is a circuit diagram showing an example of the configuration of the switch unit 1601.
- the real part and the imaginary part of the N MR signal (echo signal) detected by the detector 301 are acquired by the data reception unit 1 31 and sent to the calculation unit 1 30.
- the calculation unit 130 has a current calculation unit 303.
- the current calculation unit 303 acquires the real part and the imaginary part of the echo signal detected by the detector 301, calculates the phase difference between the echo signal and the excitation oscillating magnetic field using these, and from this phase difference, the echo is calculated.
- the difference between the frequency of the signal and the frequency of the oscillating magnetic field for excitation (frequency shift amount) ⁇ is calculated (S 305 in FIG. 1).
- tan- 1 (Re / I mg) is calculated from the detected real part and imaginary part. This value corresponds to the phase difference ⁇ [rad] of the NMR signal.
- ⁇ is the phase difference between the measured NMR signal and the reference wave (phase ⁇ 0 ) that travels at a frequency that does not change with time, as shown in Fig. 10.
- the reference frequency is The resonance frequency of the NMR signal in a state where no flow is flowing is set in advance.
- the current calculation unit 303 obtains ⁇ from the amount of change per unit time of the obtained phase difference ⁇ . Then, by referring to the relationship between ⁇ and the current, the value of the current of the sample 115 at the measurement location is calculated (S 307 in FIG. 1). In addition, the current calculation unit 303 may calculate the current density by dividing the obtained current value by the area where the current flows.
- the measuring apparatus 300 includes a storage unit 305 that holds information indicating the correlation between the current and the frequency difference for each type of the sample 1 15.
- the storage unit 305 stores, for example, data on correlation between the frequency difference ⁇ and current obtained experimentally. More specifically, this is calibration curve data of the frequency difference ⁇ and the current.
- the current calculation unit 303 in the calculation unit 130 acquires calibration curve data corresponding to the sample to be measured from the storage unit 305, and calculates a current corresponding to the frequency difference ⁇ based on the calibration curve data.
- the current calculated by the current calculation unit 303 is presented to the user by the output unit 135 (S309 in FIG. 1).
- the presentation format can take various forms, and there are no particular restrictions on display, printer output, file output, etc.
- FIG. 41 shows the RF oscillator 10 02, modulator 10 04, RF amplifier 106, pulse control unit 10 08, switch unit 161, small RF coil 1 1 4, in the measuring apparatus 300 shown in Fig. 7.
- FIG. 3 is a diagram showing an example of a more detailed configuration regarding the cooperation of a preamplifier 1 1 2, a detector 301 and an A / D converter 1 1 8. This configuration can also be applied to the measuring apparatus shown in FIGS. 13 and 16 described later.
- the modulator 104 includes a mixer 1 77, a mixer 1 79, and a synthesizer 1 81.
- the detector 301 includes a mixer 1 83, a mixer — 1 85, and a distributor 1 87.
- the A / D converter 1 1 8 includes a first _A / D converter 1 189 and a second A / D converter 191.
- a 90 ° hybrid 1 7 1 and a distributor 1 73 are further arranged in this order between the RF oscillator 1 02 and the modulator 1 04, and the 9 0 ° hybrid 1 7 1 Distributor 1 75 is placed between the detector and detector 301 Has been.
- the waveform output from RF oscillator 102 is changed to two waveforms of the same frequency but different in phase by 90 ° by 90 ° hybrid 1 71. Based on these two reference waveforms, the NMR signal is detected and becomes R e a I and I m i g n a r y components.
- the two waveforms output from the 90 ° hybrid 1 7 1 are specifically a sine wave and a cos wave, and the two waveforms are accurately orthogonal to each other. It is an important point in seeking.
- the signal name of A / D converter 1 1 8 is named Rea I and I ma ginary, but this is a convenient expression, I ma ginary And it may be the opposite of Real.
- the phase obtained by a r c t a n is only shifted by ⁇ 90 °, and there is no problem in obtaining the “phase change” that increases or decreases with time.
- the "N MR signal strength" required when determining the water content and mobility described later in the fourth and fifth embodiments is the component of the acquired Rea I and I ma ginary.
- the static magnetic field uniformity in the measurement area is high, and the echo signal can be observed over a very long time.
- the frequency shift amount can be measured with high frequency resolution.
- the phase of the echo signal can be converged and acquired by the small RF coil 114.
- the real part and the imaginary part of the echo signal can be detected and the phase difference ⁇ using them can be calculated more accurately.
- the spin-echo method need not be used for the measurement of the frequency shift amount in other embodiments of the present specification, and the frequency shift amount can also be calculated from a simple FID (Free Induction Decay).
- the spin echo method has a smaller measurement area than the FID, so that the uniformity of the static magnetic field can be further improved compared to the FID.
- a static magnetic field may be created using a rod-shaped magnet, and the sensor unit is small and can be used as a current measurement probe that can be easily installed in the apparatus.
- water content and “mobility of water molecules” in a sample such as a polymer membrane can be measured locally at the same place almost at the same time. it can.
- This embodiment and the following embodiments can be applied to, for example, local current measurement of a solid electrolyte membrane of a fuel cell.
- the current j measured by the method of the above embodiment is generated by the fuel cell.
- the principle of forming a magnetic field is the same regardless of whether the current flows in a state where the electric field is flowing or when the direct current is applied to perform water electrolysis. Therefore, by measuring the increase / decrease ⁇ of the resonance frequency, the spatial current during power generation and water electrolysis operation of the fuel cell can be grasped.
- the power generation state changes depending on the gas supply state, catalyst deterioration, and ionic conductivity of the polymer electrolyte membrane.
- the hydrogen utilization rate is increased, the hydrogen concentration is high near the gas supply port and the generated current at that location is large.
- the hydrogen concentration is low near the gas outlet and the generated current is also small. This is because “material transport loss” increases.
- the “activation loss” increases and the generated current decreases.
- the Pt catalyst deteriorates due to transient fluctuations such as starting and stopping of the fuel cell, resulting in spatial non-uniformity.
- the ionic conductivity increases and decreases, the “ohm loss” changes, and the power generation current increases and decreases. Since this loss depends on the spatial distribution of water content, the current also has a spatial distribution even within a single polymer electrolyte membrane.
- the state of power generation at each location can be determined, and what is the state of “material transport loss”, “activation loss”, and “ohm loss” spatially? Specifically, when the gas supply concentration, hydrogen utilization rate, gas supply pressure, humidification amount, and moisture content of the membrane are changed, the power generation state at which location changes. It is possible to examine in detail whether the resulting battery performance has increased or decreased. This can provide technical guidelines for improving battery performance.
- the spatial current of the fuel cell can be grasped by measuring the increase / decrease ⁇ of the resonance frequency.
- the CPMG method in addition to the current measurement, can be used to obtain the 2 relaxation time constant, whereby the amount of water in the sample can be calculated.
- the measuring device 300 can be further provided with a gradient magnetic field coil, and by appropriately applying a gradient magnetic field to the sample, the mobility of the target molecule can be measured by using the PGS method with the gradient magnetic field applied. it can.
- the measuring apparatus 300 described in the first embodiment may include a plurality of small RF coils 1 1 4.
- the plurality of small RF coils 1 1 and 4 apply an excitation oscillating magnetic field to a plurality of locations of the sample 1 1 5 and acquire a nuclear magnetic resonance signal.
- the current calculation unit 303 is configured to calculate currents at a plurality of locations of the sample 1 15.
- FIG. 11 is a perspective view showing an arrangement example of a plurality of small RF coils 1 14.
- the current distribution in the sample 1 1 5 can be measured.
- the two-dimensional arrangement is performed along the surface of the sample 1 15, the two-dimensional current distribution on the sample surface can be obtained.
- the three-dimensional current distribution in the sample can be obtained.
- a current distribution calculation unit (not shown) that calculates the current distribution in the sample 1 15 based on the current calculation result in the calculation unit 1 3 0 force current calculation unit 3 0 3 is provided. It may be. Thereby, it is possible to apply the excitation oscillating magnetic field to a plurality of locations of the sample and acquire the corresponding NMR signals.
- the current distribution calculation unit (not shown) calculates the current distribution in the sample based on the current at multiple points in the sample.
- the output unit 1 3 5 outputs this distribution.
- the output unit 1 3 5 may have the configuration shown in FIG.
- the output unit 1 3 5 is a measurement data acquisition unit that acquires the current for each measurement region of the plurality of small RF coils 1 1 4 (FIG. 1 1) calculated by the current calculation unit 3 0 3. 1 3 5 A and a display section 1 3 5 B that displays the acquired current in a partitioned area of the same screen.
- the screen is divided into a plurality of regions according to the arrangement position of small RF coil 1 1 4. Each area is displayed in a predetermined color according to the current in the measurement area of each small RF coil 1 14.
- the plurality of areas of the display unit 1 3 5 B are divided into upper and lower parts, current is shown on one side (for example, the upper half), and in the sample 1 1 5 in the corresponding place on the lower half The amount of moisture may be indicated.
- the measurement of the water content in the sample 1 15 will be described later in the fourth embodiment.
- the measuring apparatus 300 described in the first embodiment may be an apparatus that acquires a current distribution in a plane of a solid polymer electrolyte membrane of a fuel cell by using a nuclear magnetic resonance method. Good.
- Sample 1 15 is a solid polymer electrolyte membrane of a fuel cell.
- the measuring device 300 is a measuring device for a fuel cell
- the operating state of the fuel cell can be diagnosed. For example, when ⁇ ⁇ is measured in each region and compared with the theoretical analysis value, if the measured value of ⁇ ⁇ shows a different behavior from the analysis value only at a specific measurement location, There may be a defect in ME IV at the location.
- ⁇ ⁇ is measured at a predetermined time interval for a plurality of measurement points, and the difference between the measured value of ⁇ and the analysis value becomes large at all the measurement points, ⁇ ⁇ ⁇ There is a possibility that the output is reduced overall.
- the measurement accuracy of the frequency shift amount ⁇ can be further increased by the following procedure.
- the reference frequency when the reference frequency does not change with time (constant) (for example, when a superconducting magnet or electromagnet is used as the magnet), the reference frequency is the first to be measured. It is only necessary to acquire it, and after that, it is only necessary to perform measurement when current is passed. In this case, there is an advantage that current fluctuation over time and transient response are easy to measure.
- the magnetic field strength may fluctuate with time due to fluctuations in the temperature of the magnet.
- the reference frequency cannot be said to be constant over time.
- the fuel cell when the above embodiment is used for measurement of a fuel cell, the fuel cell does not immediately enter a steady state even if it starts power generation and starts flowing current, and it takes several seconds to several minutes to reach a steady state. May be required. Also, it may be difficult to apply to current measurement in “slowly occurring phenomena” where the load varies, the gas supply fluctuates, or moisture condenses in the gas diffusion layer. The reason is that the above-mentioned “NMR measurement with and without current at a short time interval where the reference frequency can be regarded as constant” cannot be performed.
- the magnetic field distribution in the permanent magnet only rises and falls uniformly in the entire space. If the fluctuation of the nuclear magnetic resonance frequency is measured at a certain point, The nuclear magnetic resonance frequency of a place can be estimated by raising and lowering the fluctuation amount.
- a plurality of small RF coils 1 14 are arranged as follows.
- the case of measurement of power generation of a fuel cell is shown as an example, but the following method can be applied to the types of Sample 1 15 without any particular limitation.
- Measurement is performed using a system that can receive NMR signals using multiple coils.
- the fluctuation amount ⁇ (t1) at time t 1 is
- ⁇ ⁇ (t1, x) ⁇ ourrent (t1, X) _OJ no — current (t1, X)
- the current distribution should be analyzed based on ⁇ (t1, x) obtained as described above.
- the following operational effects can be obtained. That is, by measuring the NMR signals for coil 1 and coil 2 at the same time, the reference frequency can be more accurately determined. Can be estimated. Thereby, the measurement accuracy of the frequency shift amount ⁇ ⁇ (t1, x) can be improved. For this reason, for example, when used for measurement of a fuel cell, it is not necessary to measure the fuel cell by switching between “no current in a short time”. This makes it possible to measure in a more realistic power generation situation.
- Coil 1 and coil 2 need not be measured simultaneously. For example, measurement may be performed by alternately switching between coil 1 and coil 2.
- the reference frequency w n for “no current” depending on the position of the coil. It is sufficient if _current (t1, x) can be estimated with a certain degree of accuracy.
- current and water content are measured using a local magnetic resonance signal acquired by a small detection coil.
- FIG. 13 is a diagram showing a schematic configuration of the measurement apparatus of the present embodiment.
- the basic configuration of the apparatus shown in FIG. 13 is the same as that of the measuring apparatus 300 shown in FIG. 7 except that a solvent information calculation unit 3 09 is provided in the calculation unit 1 3 0. . Further, the difference is that a control unit 3 0 7 is provided instead of the pulse control unit 1 0 8 in FIG.
- the solvent information calculation unit 3009 calculates information related to the solvent contained in the sample 1 15 and includes a water content calculation unit 1 32 in this embodiment. Based on the NMR signal acquired by the small RF coil 1 1 4 Calculate the amount of protonic solvent (water).
- FIG. 14 is a diagram showing the configuration of the control unit 307 of the apparatus shown in FIG.
- the control unit 307 includes a first measurement mode for measuring the current of the sample 1 15 and a second measurement for measuring the water content in the sample 1 15. Includes a switching unit (mode switching control unit 169) for switching between modes.
- the operation signal receiving unit 129 connected to the mode switching control unit 169 receives the operator's request for the measurement mode. Then, the operation signal receiving unit 1 29 sends this request to the mode switching control unit 169.
- the current measurement of the sample 1 15 is performed according to the procedure described in the above embodiment. That is, the current calculation unit 303 forces the calculation of the current at a specific location of the sample 1 15 based on the difference between the frequency of the N MR signal acquired by the small RF coil 1 1 4 and the frequency of the excitation oscillating magnetic field.
- a small RF coil 1 1 4 Forced NMR signal (echo signal) corresponding to the vibration magnetic field for excitation is acquired, and the solvent amount calculation unit 1 32 (moisture amount calculation unit 1 32) However, it calculates the amount of the protonic solvent (water) in the sample 1 1 5 based on the echo signal acquired by the small RF coil 1 1 4. Specifically, the water content calculation unit 1 32 calculates the T 2 relaxation time constant from the intensity of the echo signal, and from the calculated ⁇ 2 relaxation time constant, the protonic solvent at a specific location in the sample 1 15 Calculate the amount of
- a common pulse sequence is used for the first and second measurement modes.
- the small RF coil 1 14 applies an oscillating magnetic field for excitation in a pulse sequence including the following (a) to (c).
- n 1 80 ° pulses (n is a natural number) that starts after the lapse of time 2 of the pulse in (b) and is applied at intervals of time 2
- the current calculation unit 303 obtains the real part and the imaginary part of the force echo signal and calculates the current.
- small RF coil 1 1 4 force Acquires a plurality of echo signals corresponding to the pulses (b) and (c) above.
- the water content calculation unit 1 32 calculates the T 2 relaxation time constant from the intensity of the plurality of echo signals.
- FIG. 15 is a flowchart showing an example of a procedure for measuring current and water content. This measurement method includes the following steps.
- Step 301 (Step 10 02): Applying a static magnetic field to sample 1 15;
- Step 303 (Step 10 04): Pulse sequence including (a) to (c) above via small RF coil 1 1 4 Apply the excitation oscillating magnetic field and obtain the corresponding echo signal.
- Step 305 Using the real part and imaginary part of the echo signal corresponding to the pulse (b) or (c) obtained in step 303, the frequency of the echo signal and the frequency of the oscillating magnetic field for excitation The difference between
- Step 307 From the difference obtained in step 305, obtain the current at a specific part of the sample.
- Step 1 06 Calculate the T 2 relaxation time constant from the intensities of multiple echo signals corresponding to the pulses (b) and (c) obtained in Step 303.
- Step 1 08 ⁇ calculated in Step 1 06 2 Measure the local moisture content in the sample from the relaxation time constant.
- Step 309 (Step 1 1 0): After that, the result is output.
- Step 303 an echo signal is obtained for calculating the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation, and ⁇ 2 for calculating the relaxation time constant.
- the acquisition of the echo signal may be performed simultaneously.
- to calculate the difference calculation and T 2 relaxation time constant of the frequency both above (b)
- step 3 0 3 step 1 0 4
- an echo signal corresponding to the above pulses (b) and (c) is acquired.
- the frequency difference is calculated by using the real part and the imaginary part of the echo signal corresponding to the pulse (b).
- step 3 07 the T 2 relaxation time constant is calculated from the intensities of multiple echo signals corresponding to the pulses (b) and (c) above. Note that the pulse in (c) above can be used for both frequency difference calculation and ( 2) relaxation time constant calculation.
- the present embodiment it is possible to measure not only the local current of the sample 1 15 such as a membrane, but also the water content with one apparatus by a series of measurements using a common pulse sequence. . For this reason, the state of the sample 1 15 during power generation or water electrolysis operation can be grasped in more detail.
- the small RF coil 1 14 is a pulse that alternately repeats a pulse for current measurement (first measurement mode) and a pulse for moisture measurement (second measurement mode) multiple times.
- An oscillating magnetic field for excitation can also be applied in a sequence. In other words, it performs an acquisition of echo signals for calculation unloading of the difference between the frequency and the frequency of the excitation oscillating magnetic field of the nuclear magnetic resonance signal, the acquisition of echo signals for calculating the T 2 relaxation time constant, alternating You can also In this way, the local current and water content of sample 1 15 can be measured more stably.
- current, water content, and water mobility are measured using local magnetic resonance signals acquired by a small detection coil.
- FIG. 16 is a diagram showing a schematic configuration of the measurement apparatus of the present embodiment.
- the basic configuration of the apparatus shown in FIG. 16 is the same as that of the measuring apparatus shown in FIG. 13.
- the solvent information calculation unit 3 0 9 of the calculation unit 1 30 is further replaced with the mobility calculation unit 1 3 3.
- the movement amount calculation unit 1 3 4 is provided in the calculation unit 1 3 0.
- the apparatus shown in FIG. 16 has a gradient magnetic field application unit (a pair of G coils 1 5 1) that applies a gradient magnetic field to sample 1 15. And a pair of G coils 1 5 1 Further prepare.
- the pair of G coils 15 1 is a gradient magnetic field application coil disposed away from the small RF coil 1 1 4. As shown in FIG. 17, the pair of G coils 15 1 is arranged so that a gradient magnetic field can be applied to the sample 1 15. Two G coils 15 1 are arranged with respect to one small RF coil 1 1 4, and are arranged opposite to each other with the small RF coil 1 1 4 interposed therebetween.
- the G coil 15 1 has a half-moon shape as shown in FIG. 17 illustrates a case where a plurality of small RF coils 1 1 4 are provided in one sample 1 1 5, and a pair of G coils 1 5 1 is arranged for each small RF coil 1 1 4. Yes.
- the G coil 15 1 is arranged in parallel to the surface of the sample 1 15.
- the G coil 15 1 is arranged above the small RF coil 1 14. As a result, a gradient magnetic field having a magnetic field gradient in the y-axis direction can be formed on the central axis of the small RF coil 1 14.
- a shield shield (not shown) is provided between 14 and the other G coil 15 1. This shielding shield prevents noise from the G coil 15 1 from affecting the small RF coil 1 14.
- the shielding shield has a thickness that prevents the passage of noise and allows a magnetic field to pass.
- the mobility calculation unit 1 3 3 is based on the NMR signals acquired by the small RF coils 1 1 4 obtained corresponding to different gradient magnetic fields. Calculate the mobility of the protonic solvent (water).
- the movement amount calculation unit 1 3 4 is based on the water amount calculated by the moisture amount calculation unit 1 3 2 and the self-diffusion coefficient calculated by the mobility calculation unit 1 3 3. Calculate the travel distance. For example, the movement amount calculation unit 1 3 4 calculates the movement amount of water molecules. A parameter storage unit in which parameters for storing are stored, and a movement amount calculation unit that reads a calculation formula stored in the parameter storage unit and calculates a movement amount of water molecules.
- the parameter storage unit stores a calculation formula for calculating the amount of movement of water molecules from the self-diffusion coefficient and the amount of water for each sample 1 15 type. Based on this calculation formula, the movement amount calculation unit can calculate the movement amount.
- the mode switching control unit 169 in the control unit 307 is a first measurement mode in which the current of the sample 1 15 is measured, and the water content in the sample 1 15 is measured. Switch between the second measurement mode and the third measurement mode that measures the mobility of water in sample 1 1 5.
- an excitation oscillating magnetic field is applied to the small RF coil 1 1 4 force sample 1 15 and a nuclear magnetic resonance signal corresponding to the excitation oscillating magnetic field and gradient magnetic field is acquired.
- the mobility calculation unit 133 calculates the mobility of a specific portion of the sample 1 15 based on the information of the nuclear magnetic resonance signals obtained corresponding to different gradient magnetic fields.
- the small RF coil 11 14 applies the excitation oscillating magnetic field in a pulse sequence including the following (a) to (d).
- the gradient magnetic field applied in (b) may be zero.
- (a) 90 ° pulse is in the first phase and (c) 1 80 ° pulse is in the second phase that is 90 ° shifted from the first phase.
- FIG. 18 is a flowchart showing an example of a procedure for measuring current and mobility.
- FIG. 18 is an example of using the gradient magnetic field applied in (b) of the above pulse sequence as an outlet, and includes the following steps.
- Step 3 0 1 (Step 1 0 2): Applying a static magnetic field to the sample 1 1 5, Step 3 0 3 (Step 2 0 2): Pulse with zero gradient field and the above (a) to (d) In sequence, apply the excitation oscillating magnetic field and acquire the corresponding echo signal (first step)
- Step 30 Difference between the frequency of the echo signal and the frequency of the oscillating magnetic field for excitation using the real and imaginary parts of the echo signal corresponding to the pulse (d) obtained in step 303 To calculate,
- Step 3 07 From the difference obtained in Step 3 0 5, find the current at a specific part of the sample (second step)
- Step 2 04 The gradient magnetic field is set to a non-zero predetermined magnitude, and the excitation oscillating magnetic field is applied in the pulse sequence including the above (a) to (d), and the corresponding echo signal is acquired (third step) ),
- Step 2 06 From the peak intensities of the NMR signals obtained in Step 2 0 2 and Step 2 0 4, the self-diffusion coefficient D of water at a specific location in Sample 1 1 5 Seeking (fourth step)
- Step 3 0 9 (Step 2 0 8): After that, the result is output.
- the gradient magnetic field in step 2 0 2 is set to zero.
- the current and self-diffusion coefficient D can be obtained by a series of measurements.
- the current and moisture content of sample 115 can be obtained by a single measurement by the procedure described above with reference to Fig. 15 for example.
- the water content and the mobility of water molecules can also be measured. For this reason, the state in the membrane at the time of power generation or water electrolysis operation can be grasped in more detail.
- the "current distribution" in the fuel cell, the "water content” in the polymer electrolyte membrane, and the "mobility of water molecules” can be Or it can measure alternately. Measurement that integrates these is useful as an integrated monitoring method for fuel cells, and is effective as a device that provides new measurement amounts to development sites aimed at improving fuel cell performance and expands the application range of NMR sensors. It is.
- the amount of current flowing in a sample such as a fuel cell can be converted from the frequency shift amount of the NMR signal received by the small detection coil. At that time, even with one small detection coil, if the current flowing through the sample is uniform, the amount of current can be easily converted from the amount of frequency shift.
- multiple small detection coils can be incorporated into a single unit cell, and NMR signals can be acquired from the polymer film, and the current distribution can be converted from the frequency shift amount ⁇ of the NMR signal that occurs when current flows. It becomes. This makes it possible to effectively measure the current distribution with multiple coils.
- the “local water content”, “local mobility of water molecules” and “current distribution” of the polymer membrane for fuel cells are measured locally using the same device and the same sensor. By alternately measuring the three quantities every few seconds, both values can be obtained at almost the same time (same device, same position, almost same time).
- non-invasive measurement using electromagnetic waves is performed simply by attaching to the surface of the polymer film.
- the amount of water, the mobility of water molecules, and the current distribution can be measured while generating power from the fuel cell.
- the state of the polymer membrane can be grasped from various information such as “water content”, “mobility of water molecules”, and “current distribution”, and the power generation state or water electrolysis state in the fuel cell Monitoring can be performed to control power generation efficiency to the highest level.
- the “Magnet ⁇ Magnetic field gradient coil integrated rod-shaped local measurement sensor” allows the sensor to be easily installed in the fuel cell, and only the RF detection coil section needs to be in the measurement area. Measurements can be made without obstruction (Fig. 19).
- the frequency shift amount is It can also be calculated from a simple FID (Free Induct on Decay).
- F ID Free Induct on Decay
- the current calculation unit 303 may obtain a real part and an imaginary part of the F I D signal to obtain a current from a phase change amount. In this way, measurement can be performed with only 90 ° pulses, so the repetition time of the excitation pulse can be shortened, and the amount of phase change can be determined in a short time. In addition, since the F ID signal itself can be observed whether it is smaller or larger than 90 °, adjustment can be simplified compared to the spin echo method.
- the current when measuring the amount of water or the mobility of water together with the current, the current can be calculated from the FID signal corresponding to (a) by using the pulse sequence including (a) above. .
- Example 1 In this example, water was poured into a narrow gap, a copper plate was placed in close contact with the sample, and the change in frequency of the NMR signal when current was passed through the copper plate was measured.
- FIG. 20 is a diagram for explaining the outline of this embodiment.
- an electric current j was passed through a copper plate to form a magnetic field! "!
- an experiment was conducted to measure the frequency change of the N MR signal from the water placed next to it. It was.
- the copper plate simulates a fuel cell
- the water simulates a polymer membrane in the fuel cell.
- the sample is a sealed container with two cover glass with dimensions of 18 mm x 18 mm and a thickness of 0.1 2 mm, with a gap of 0.5 mm, and 2.5 mm mo I in it. / encapsulating C u S0 4 aqueous solution L.
- Figure 21 shows the sample used in this example.
- the interval between the 90-degree excitation pulse and the 180-degree excitation pulse was set to 5 ms, and the echo signal was measured with an echo time of 1 Oms.
- a gradient magnetic field was applied for 1 ms before and after the 180 ° excitation pulse so that the NMR signals immediately after the 90 ° and 180 ° excitation pulses did not interfere with the echo signal.
- Figure 22 shows the echo signal when the current j is zero.
- the NMR signal was detected by the phase-sensitive detection method, and two signals were acquired, the real part and the imaginary part.
- the real part and the imaginary part are indicated by "R e a I” and "I mag", respectively.
- phase difference ⁇ [rad] of the NMR signal was calculated using ta n- 1 (R e / I mg) based on the real part R e and the imaginary part I mg.
- the phase reference is the reference wave from the oscillator of the NMR device, and this frequency is set in advance to the resonance frequency of the NMR signal. It was.
- the phase difference between the reference wave (phase ⁇ 0 ) that does not change in time and the measured NMR signal is ⁇ .
- the relationship between the real part, the imaginary part, and the phase difference ⁇ is shown in FIG.
- FIG. 23 shows the phase difference ⁇ calculated from the tan- 1 (Re / I mg) in FIG. However, in this figure, 1 of the time when the echo signal is observed
- the echo signal measured when the current j is 0.8 OA is shown in FIG. 24, and the phase difference ⁇ calculated based on this is shown in FIG.
- the pulse sequence is the same as when the current j is closed.
- the real part and imaginary part of the NMR signal oscillate, and the frequency is shifted from the reference wave.
- the real part comes first and then the imaginary part vibrates.
- FIG. 25 shows the phase difference ⁇ calculated by obtaining tan- 1 (Re / I mg) in FIG.
- the phase difference ⁇ increases (upward straight line), and you can see how the phase of the N MR signal advances from the reference wave over time.
- Fig. 26 shows the echo signal measured at 10.8 OA when current j is applied in the reverse direction
- Fig. 27 shows the phase difference ⁇ calculated based on this.
- Figure 27 is calculated by obtaining ta n- 1 (Re / I mg) in Figure 26.
- the phase difference ⁇ is shown.
- the phase difference ⁇ decreases with the passage of time (straight-down straight line), and the phase of the NMR signal delays with the passage of time from the reference wave. it can.
- Fig. 28 shows the results of experiments conducted in increments of 0.20A with the current j flowing through the copper plate varied from 0.80A to + 0.80A.
- the phase difference ⁇ of the NMR signal that changes in 1 ms is defined as “frequency shift amount of N MR signal ⁇ [rad / ms]”.
- This “frequency shift amount ⁇ [rad / ms]” corresponds to “slope of phase difference ⁇ ” in FIGS. 23, 25, and 27, and the graph of phase difference ⁇ is linearly approximated by the method of least squares. It was calculated from the gradient.
- N The factor that increases or decreases the MR signal frequency over time is not only the current j flowing through the copper plate, but also the increase or decrease in magnetic field strength in the case of permanent magnets. If the temperature of the permanent magnet increases or decreases, the magnetic field strength also increases or decreases in inverse proportion to it. For this reason, a time-stable magnetic field is required for frequency shift measurement.
- the permanent magnet has a large heat capacity, and the frequency change due to a sudden temperature change
- the phase difference can be measured with higher accuracy.
- this method can also be used by subtracting the frequency of the reference wave even if it is set to a state slightly deviated from the true resonance frequency of the N MR signal. There is a feature that can offset the “deviation”.
- 1 ⁇ 1 ⁇ 8 is a £ 1 ⁇ 1 (Polymer Electrolyte Membrane) with electrodes joined.
- the ME A used here was manufactured by attaching Pt and Ir on the anode side and Pt on the cathode side electrolessly on a polymer electrolyte membrane manufactured by Asahi Glass.
- the dimensions of M E A are 17 mm x 15 mm square, 500; U m thick.
- ME A was standardized, pulled up from the ion-exchanged water just before the experiment, and wiped off the water moderately. From the T 2 (CPMG) relaxation time constant of ME A just before water electrolysis operation, the water content of MEA was about 10 [H 2 0 / S 0 3 -H +].
- ME A was sandwiched between a poly force single-point cell with a small surface coil and a Pt electrode, and power was applied.
- the voltage applied between the two electrodes was 2 to 3.5 V, and the current j was 0.10 to 0.3 OA.
- ME A decomposes the water contained in the PEM and releases hydrogen and oxygen.
- water was not supplied during water electrolysis (no humidification condition).
- the cell temperature was 24 ° C.
- Fig. 29 shows the echo signal measured when 0.30 A of current j is passed through the MEA
- Fig. 30 shows the phase difference ⁇ calculated based on this echo signal. From FIG. 29 and FIG. 30, it can be seen that the echo signal acquired from ME A progresses although the phase difference is slight with time.
- Figure 32 shows an overview of the entire system.
- the water to be measured is sandwiched between two glass covers (15 mm x 15 mm) and sealed to a thickness of 0.5 mm.
- two copper plates are placed in close contact, and their dimensions are 19 mm x 9 mm.
- Each copper plate is connected to a constant current power source, and can individually control the current amount, 1 2 (j 2 in the figure).
- FIGS. 33 (a) to 33 (c) The coils and devices used in this example are shown in FIGS. 33 (a) to 33 (c).
- FIG. 33 (a) is a diagram showing a small surface coil used in this example.
- FIG. 33 (b) is a diagram showing a pair of polycarbonate holders used in this example.
- FIG. 33 (c) is a diagram showing an RF coil holder used in this example.
- FIG. 34 is a diagram showing the static magnetic field H Q applied to the sample by the permanent magnet and the direction of the magnetic field created by passing a current through the copper plate. If current I 2 flows in the positive direction (in the direction of the arrow in the figure) through the copper plate, static magnetic field H. Is applied to the sample, and the frequency shift ⁇ increases.
- N MR signal was obtained by changing current and I 2 independently, and the dependence of frequency shift amount ⁇ on currents I and I 2 was measured.
- the frequency shift amount of coil 2 is about 3.92 rad / ms larger than that in Fig. 35, but it is inversely proportional to current I, its slope is negative, and its slope is You can see that they are almost the same.
- the shape of the copper plate is symmetric between 1 and 2, and the positions of coils 1 and 2 are the same distance from the central axis of the poly force cell. Therefore, the measurement results (Fig. 3 8) are shown in Fig. 3 Matches the result of swapping 1 and 2.
- the above (i) is a method using the fact that the frequency shift amount strongly depends on the current amount near the coil from the above measurement result.
- the total current value for example, I and + I 2 are required, but this can be easily measured. According to this method, a more accurate calculation of the current distribution can be expected.
- Example 3 the current value was measured when two small coils were placed using the spin echo method. Specifically, the current was obtained from the amount of phase change of the echo signal (equivalent to the frequency shift ⁇ ) at a certain time interval.
- the NMR signal is not limited to the echo signal, and the current can be measured by the same method even from the F ID signal.
- Fig. 43 shows the phase of the FID obtained by calculating arctan (Real / Imaginary).
- time 1 FID up to 5ms It can be seen that the phase can be calculated without much dispersion.
- the FID in Fig. 45 has a waveform that decays with a shorter T 2 * relaxation time constant.
- the difference in calculating the amount of phase change observed with FID and echo signals is as follows. That is, in the FID, the T 2 * relaxation time constant increases or decreases, and the observation time of the N MR signal whose phase can be calculated is increased or decreased by the amount of current. On the other hand, in the case of an echo signal, it is almost constant. It is. From the viewpoint of analyzing the obtained N MR signal, it is preferable that “the time during which the N MR signal can be analyzed so that the phase can be analyzed is constant” like the echo signal.
- Figure 48 shows the FID waveform obtained when the current was increased to 0.8 OA.
- the FID in Fig. 48 has a waveform that decays with a shorter T 2 * relaxation time constant compared to Figs. 42 and 45.
- phase change at a certain time interval calculated from the F I D waveform, that is, ⁇ was 8.01 r a d / ms.
- the observed FID shows that the current flows in the opposite direction and the direction of the magnetic field is reversed, so that the progression of the Real and I magnary waveforms is reversed compared to Fig. 45. I understand.
- Fig. 52 shows the phase of the FID obtained by calculating arctan (Real / Imaginary). In this figure, the phase It can be seen that the retreat (progress with a negative slope).
- the frequency shift amount in coil 1 in Fig. 35 is compared with that in Fig. 54, the straight lines of both are almost the same slope, and the value of the intersection with the vertical axis is also the same. I understand. As a result, the frequency shift amount with respect to the current is almost the same regardless of whether it is an FID or an echo signal, and the relational expression (calibration equation) between the current and the frequency shift amount is created by either method. If this is done, it can be used to calculate the current value from the frequency shift amount regardless of the method.
- FIG. 55 is a diagram showing directions of a static magnetic field H 0 and a magnetic field H i described later.
- the conductor is placed in the static magnetic field and flows from left to right in Fig. 55.
- This current creates a magnetic field around the conductor.
- the magnetic field applied to the sample is the sum of the static magnetic field Ho by the magnet and Hi formed by the current.
- the frequency ⁇ [H z] of the N MR signal is proportional to the magnetic field strength H [ga u s s], as shown in the following equation.
- ⁇ is the nuclear gyromagnetic ratio [H z / gauss], and in the case of 1 H hydrogen nucleus, it is 4260 H z / gauss.
- the magnetic field Hi that increases or decreases when the current I flows through the conductor is obtained as the frequency shift amount ⁇ [H z].
- FIG. 56 is a perspective view showing the positions of the copper plate, RF detection coil, and water sample in the magnetic field analysis of this example.
- the magnetic field Hi created by the current I flowing through the conductor can be calculated based on Bio-Savart's law. Specifically, when the conductor is placed in a vacuum (magnetic permeability is 4 ⁇ X 1 0- 7 N / A 2), conductors position (x p, y p, z p
- FIG. 57 is a diagram showing a coordinate system in the following equation.
- the copper plate is divided into small elements, and it is assumed that the current divided equally flows through the elements. Specifically, there is a small element at point Q, a current flows for each element, and these multiple elements at point Q create a magnetic field at point P.
- the magnetic field at point P was calculated by integrating all elements at point Q using the above equation.
- the longitudinal direction of the copper plate (L direction in Fig. 57) was equally divided into 64, and the width direction (W direction in Fig. 57) was equally divided into 32.
- FIG. 58 shows the analysis results.
- Figure 58 shows the results when the current I is changed to _ 1 [A], -0.5 [A], 0 [A], 0.5 [A], and 1 [A].
- the unit of the frequency shift amount ⁇ on the vertical axis is [rad / ms].
- H z was multiplied by 27 ⁇ to convert to rad, and s was divided by 1 000 to convert to ms.
- FIG. 59 is a diagram showing the relationship between the frequency shift amount ⁇ and the current I at the position of the water sample measured by the RF detection coil. From Fig. 59, it can be seen that the relationship between the two is directly proportional. It can also be seen that the current I can be easily converted from the frequency shift ⁇ .
- Example 5-1 the amount of frequency shift was measured using a small surface coil and compared with the result of Example 5-1.
- a copper plate, an RF detection coil, and a water sample (pure water) were placed in the positional relationship shown in Fig. 55, and the relationship between the current I flowing through the copper plate and the frequency shift amount ⁇ was measured. .
- FIG. 60 is a diagram showing a small surface coil produced in this example.
- N MR measurement system a base system manufactured by MRL Technology was used with high sensitivity.
- the magnet used was a modified Halbach magnetic circuit with a magnetic field strength of 1. O Tes Ia and an air gap of 45 mm manufactured by Neomax.
- FIG. 61 is a diagram showing the relationship between the current I [A] flowing through the copper plate and the measured frequency shift amount ⁇ [rad / ms].
- Fig. 61 shows the magnetic field of Fig. 59. The relationship (solid line) obtained from the analysis results is also shown.
- Example 6_2 prior to actual measurement in Example 6_2 described later, the magnetic field was analyzed when ME A was modeled with a one-dimensional equivalent circuit.
- FIG. 62 is a cross-sectional view showing a schematic configuration of MEA used in the analysis in this example.
- the MEA is an assembly of an electrode and a polymer electrolyte membrane, and the polymer electrolyte membrane (PEM) is sandwiched between upper and lower current collectors.
- PEM polymer electrolyte membrane
- the dimensions of ME A are 23 mm X 2 Omm square, thickness 356
- the current collector was a one-pong mesh with a thickness of 30 Om.
- Pt and Ir were electrolessly attached to one surface of the polymer electrolyte membrane to form an anode-side catalyst layer.
- Pt was unelectrolyzed as a catalyst on the other surface of the polymer electrolyte membrane to form a force sword side catalyst layer.
- the RF detection coil is embedded in the lower side (electrolyte membrane side) of the bonbon mesh and is in contact with PEM with catalyst inside ME A. Also The RF detection coil is sandwiched between the upper force mesh and the lower force mesh. The magnetic field created by these two conductors is shown in Fig. 5.
- the current distribution flowing through the anode-side collector electrode and the cathode-side collector electrode is a distribution that decreases or increases linearly with respect to the X direction. This was assumed to be an equivalent circuit of ME A.
- FIG. 64 is a diagram showing the frequency shift amount ⁇ analyzed with respect to the positions of the cross section a_a and the cross section b_b shown in FIG.
- the horizontal axis represents the frequency shift (rad / ms)
- the vertical axis represents the position z (mm) in the thickness direction of the PEM.
- the frequency shift amount at the position where the RF detection coil ⁇ is placed is about 6 rad / ms from the upper side to the lower side. Decreases from about 1 rads.
- the current I 1 (at s e c t i o n a _ a) force flowing in the upper collector electrode is larger than the current I 2 (at s e c t i o n a _ a) flowing in the lower collector electrode (I ⁇ >
- Example 6-1 the frequency shift distribution when the ME A shown in FIG. 62 was water electrolyzed was measured and compared with the analysis results of Example 6-1.
- Pt and Ir are electrolessly attached to one side (anode side) of a polymer electrolyte membrane manufactured by Asahi Glass Co., and Pt is electrolessly attached to the other side (force sword side). Produced.
- the dimensions of ME A are 23 mm x 2 Omm square and thickness 356 m.
- the obtained MEA was sandwiched by a force of one meter mesh (manufactured by Japan Gore-Tex) with a thickness of 300 m.
- the 0.03 mm thick Pt electrode foil was also sandwiched.
- the current from the power source was changed from the conductor to the Pt electrode foil, Force —Bonmesh, Pt electrode foil, and lead wire flow in this order to return to the power source.
- the applied voltage during water electrolysis was about 3 V, and the current density was 0.26 A / cm 2 .
- the temperature of ME A during water electrolysis operation was about room temperature. In this embodiment, no steam is supplied to ME A.
- a N MR measuring surface coil having an inner diameter of 0.6 mm was used. A small hole was made in the bonbon mesh, and the lead part of the coil was passed there to fix the coil on the bonnet mesh.
- FIG. 65 is a diagram showing a coil used in this example.
- the small surface coil was made by winding a copper wire with a polyurethane film diameter of 40 m in a spiral shape with an inner diameter of 0.6 mm five times in a flat shape. This coil was manufactured by Star Engineering.
- FIG. 66 is a view showing a coil placed on a carbon mesh in this embodiment.
- the amount of frequency shift in coil A is indicated by a white square (mouth), and the amount of frequency shift in coil B is indicated by a white triangle ( ⁇ ).
- the measurement area in the depth direction of the coil is about one-fifth of the coil diameter, so the area has a width of about 0.1 mm from the PEM surface. This width is shown as a bar in Figure 67.
- the frequency shift amount could be measured at multiple points even in the system corresponding to the operating fuel cell.
- this method it is possible to know the local distribution of the current in the MEA of the fuel cell.
- the current measurement method based on NMR was applied to ME A (Membrane Electrode Assembly) in which electrodes were joined to PEM, and the frequency shift of the NMR signal was measured by PEM during water electrolysis operation.
- ME A Membrane Electrode Assembly
- magnetic field analysis was also performed and compared with the measurement results.
- the magnetic field analysis in ME A was performed, and the frequency shift amount of the N MR signal that increases or decreases due to the magnetic field was calculated.
- the magnetic field analysis was performed with an electrode arrangement in which current was supplied to the end of the MEA and the current flowed from the opposite end of the force sword.
- the protons pass through the PEM uniformly, have the same resistance value in the entire area of the PEM, and further, current flows through the electrodes on the anode side and cathode side of the PEM. It is assumed that a closed circuit is constructed.
- the current I, flowing through the anode electrode decreases linearly with position X, and conversely, the current I 2 flowing through the force source electrode increases linearly with position X.
- the current flowing through the anode and cathode electrodes forms a magnetic field inside the PEM.
- This magnetic field strength distribution Hi was analyzed using Bio-Savart's law, and the frequency shift amount of the N MR signal was calculated from the magnetic field strength.
- the origin of position X is the center of PEM.
- Figure 69 shows the z-direction distribution of frequency shifts analyzed at the four sensor positions.
- Position (x _7. 5mm) at the anode side of the current I, of the sensor _ A but larger than the current I 2 forces cathode side, as a result, the frequency shift amount has a positive value.
- the force sword side The current I2 of the current is also large on the far node side, and the frequency shift amount in that case is a negative value opposite to that of the sensor A.
- Sensors _B and C located in the middle of both are the frequency shift amount in the middle.
- the ME A used in the water electrolysis operation was manufactured by electrolessly attaching Pt and Ir on the anode side of the polymer electrolyte membrane and Pt on the force sword side.
- the dimensions of ME A are 23 mm x 20 mm square and 356 m thick.
- this MEA is sandwiched as a GDL (Gas Diffusion Layer) by a 300m thick force pon mesh, and current is supplied from the stabilizing power source through the Pt electrode.
- GDL Gas Diffusion Layer
- a structure is used in which pressure is applied from both sides of the positive and negative electrodes using a cushioning material so that GDL and MEA are in uniform contact.
- Applied voltage current density of about 3 V was 0. 26A / cm 2.
- the surface coil for NMR measurement was a copper wire with an inner diameter of 0.6 mm and a wire diameter of 0.04 mm, and four coils were placed at 5 mm intervals between the MEA and the force pon mesh. Polyurethane coating is applied to the surface coil wire, and the carbon mesh is in an insulated state.
- the measurement area in the coil depth direction is about one-fifth of the coil diameter, and is a disk-like area with a depth of about 0.1 mm from the PEM surface.
- the representative value of the frequency of the NMR signal measured by this coil is considered to be the center of this disk, and its depth is assumed to be 0.05 mm.
- Figure 71 shows the measured frequency shift amount and the X-direction distribution of the frequency shift amount obtained from the analysis.
- the horizontal axis in this figure is position X, which corresponds to the position of each sensor.
- the vertical axis represents the frequency shift amount.
- the country (black square) force ⁇ , sensor _A ⁇ D of the position X of the frequency shift measured value is shown.
- the solid line shows the amount of frequency shift calculated using the analysis method shown in the (MEA equivalent circuit) section and considering the thickness of GDL. In this case, the frequency shift
- a small surface coil is inserted between the GDL and PEM in the fuel cell, and the current value when the fuel cell is operated in water electrolysis is measured from the frequency shift amount of N MR. The water content was also measured. If water electrolysis is performed without supplying water, the PEM will gradually dry and the current will gradually decrease. In this example, the spatial distribution of current and water content in this case was measured in time series.
- FIG. 72 is a diagram showing the arrangement of MEAs and small coils in the present embodiment. As shown in Fig. 72, small coils are inserted between PEM and GDL, and the number is 3 on the anode side and 1 on the force side.
- the direction of the static magnetic field HQ is opposite to that of Example 7.
- the cell direction was reversed so that the direction of the static magnetic field was reversed.
- the sign of the frequency shift amount measured in Example 7 is reversed.
- the absolute value of the frequency shift amount for sensor A is the same, but the sign is negative.
- MEA was immersed in distilled water until immediately before the experiment, and the surface water was wiped off with Kimwipe just before the experiment to obtain an appropriate water content.
- the water content of ME A when treated in this way is about 1 0 [H 2 0 / S 0 3 ⁇ H +]. Even in this experiment, the water content is considered to be about 10 [H 2 0 / S0 3 -H +].
- FIG. 73 is a diagram showing the measurement timings of PGS E and C PMG in this example when the time when water electrolysis operation was started (voltage was applied) was set to zero.
- the echo signal obtained before applying a voltage to ME A is required. Therefore, in this example, as shown in FIG. 73, a series of measurements was started before applying a voltage (“O ff” in the figure) and used as a reference echo signal. At this time, the temperature of the magnet increases or decreases with time, the static magnetic field strength increases or decreases, and the frequency of the N MR signal may change. In this measurement, the amount of change in frequency was about 1 OOH z in 1 hour. The frequency that changes in the experiment time of 150 seconds, which was conducted this time, is about a few Hz, which is sufficiently smaller than the frequency shift amount (about 1 kHz) that increases or decreases with the current. For this reason, it is assumed that the reference frequency is the same as the value (echo signal waveform) obtained before applying the voltage. Can do. Here, we calculated the frequency shift amount based on this assumption.
- an NMR detection coil is installed in a place that is not affected by the magnetic field formed by the current flowing through the MEA.
- the time change of the static magnetic field strength can be offset.
- FIG. 74 is a diagram showing the time change of the current flowing through M EA.
- FIG. 75 is a diagram showing the time change of the voltage applied to MEA.
- the current density at this time was 0.25 A / cm 2 .
- the voltage applied to ME A reached 3.4 V, and at the same time, the current decreased to about 0.8 A. After that, the current gradually dropped to about 0.5 A.
- PGSE measurement is performed six times at a time interval of about 30 seconds, which corresponds to the time indicated by the arrows in FIG. 74 (PGS E # 1 to # 6). In this way, the frequency shift was measured while the current was decreasing. On the other hand, C PMG was measured 5 times during P G S E.
- FIG. 76 is a diagram showing the frequency shift amounts obtained by the three sensors A, C, and D from the measurements in PGS E # 1 and # 4 (FIG. 74).
- the horizontal axis represents the sensor position x and the vertical axis represents the frequency shift amount, as in FIG. 71 shown in Example 7 above.
- the plot for country shows the frequency shift measured with PGSE # 1 (current is 1.2 A).
- the ⁇ (black triangle) plot shows the frequency shift measured with PGS E # 4 (current is 0.6 A).
- the solid line and the alternate long and short dash line in the figure are analysis values calculated by the same magnetic field analysis as in Example 7. [0350] The result shown in Fig.
- Fig. 71 differs from the result of Fig. 71 in the sign of the frequency shift amount, because the static magnetic field direction is reversed.
- the direction of the current flowing through the GDL is the same, but if the direction of the static magnetic field is reversed, the sign of the frequency shift amount is reversed. If the measurer knows the direction of the static magnetic field, it will not be a problem.
- Fig. 77 is a diagram showing the time change of the frequency shift amount obtained by the measurement from PGS E # 1 to # 6.
- the measured and analyzed values of the three sensors A, C, and D are also shown. From this figure, the measured values and the analyzed values are in good agreement. Therefore, even when the current flowing through the MEA decreases transiently from 1.2A to 0.6A, it can be inferred that the current flows uniformly through the MEA.
- the time change of the echo signal intensity acquired on the anode side is shown in Fig. 78, and the echo acquired on the force sword side (sensor 1E) is shown in Fig. 78.
- Figure 79 shows the signal strength over time.
- the echo signal intensity is the intensity of the echo signal that was observed second using the C PMG method, and the average signal intensity when five C PMG measurements were performed.
- the values on the vertical axis are normalized by the average signal strength of 4 sets measured before applying current.
- Fig. 8 1 is a diagram for explaining a phenomenon occurring in P E M during water electrolysis operation of M EA.
- Fig. 81 water moves to the power lead side by electroosmotic flow in the PEM, and further water is decomposed by electrolysis on the anode side, so the water content on the anode side decreases. To do.
- the force sword side the water content once increases due to electro-osmotic flow.
- the water content of the entire P EM will decrease due to electrolysis, and eventually the water content will gradually decrease with time even on the power source side.
- the frequency shift measurement by the PGSE method and the moisture content measurement by the CPMG method are shown alternately.
- the frequency shift measurement and the moisture content measurement are common. You may carry out simultaneously by a pulse sequence.
- the moisture content is measured by the frequency shift measuring device is shown, but the mobility of water can also be measured by the frequency shift measuring device.
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Abstract
Description
明 細 書 Specification
核磁気共鳴法を用いた測定装置および測定方法 Measuring apparatus and measuring method using nuclear magnetic resonance method
技術分野 Technical field
[0001 ] 本発明は、 核磁気共鳴法を用いた測定装置および測定方法に関し、 特に、 核磁気共鳴法を用いて試料の特定箇所の電流を測定する技術に関する。 [0001] The present invention relates to a measuring apparatus and a measuring method using a nuclear magnetic resonance method, and more particularly to a technique for measuring a current at a specific portion of a sample using the nuclear magnetic resonance method.
背景技術 Background art
[0002] 試料の面方向電流分布を計測する従来の方法として、 非特許文献 1および 2に記載の方法がある。 [0002] Non-patent Documents 1 and 2 include conventional methods for measuring the surface current distribution of a sample.
[0003] 非特許文献 1には、 燃料電池の面方向電流分布を計測する際に、 電極を分 割して 「分割電極」 とし、 個々を絶縁して、 一つの分割電極ごとに流れる電 流を計測する方法が記載されている。 [0003] In Non-Patent Document 1, when measuring the current distribution in the surface direction of a fuel cell, the electrodes are divided into “divided electrodes”, and the individual currents flowing through each divided electrode are insulated. A method of measuring is described.
[0004] また、 非特許文献 2には、 ホール素子を利用して磁場の強度を計測する方 法が記載されている。 ここで、 ホール素子は、 素子に印加された磁場強度に 応じて素子の電気抵抗が変化する特性を持つ素子である。 非特許文献 2にお いては、 このホール素子を燃料電池に近づけ、 空間的に走査することで、 磁 場強度の空間マップを計測し、 それを逆問題として解析して、 電流分布を求 める方法が提案されている。 [0004] Non-Patent Document 2 describes a method of measuring the strength of a magnetic field using a Hall element. Here, the Hall element is an element having a characteristic that the electric resistance of the element changes according to the magnetic field strength applied to the element. In Non-Patent Document 2, this Hall element is moved closer to the fuel cell and spatially scanned to measure a spatial map of the magnetic field strength and analyze it as an inverse problem to obtain the current distribution. A method has been proposed.
非特許文献 1 :恩田和夫他 5名、 「固体高分子燃料電池の膜物性測定と電流分 布の解析/測定」 、 第 1 3回燃料電池シンポジウム講演予稿集、 2 0 0 6年 、 p . 2 3 4 - 2 3 7 Non-patent document 1: Kazuo Onda et al., “Mechanical properties measurement of solid polymer fuel cell and analysis / measurement of current distribution”, Proceedings of the 1st 3rd Fuel Cell Symposium, 2006, p. 2 3 4-2 3 7
非特許文献 2:泉政明、 後藤雄治、 「固体高分子形燃料電池の計測技術とモデ リングに関する研究開発」 、 N E D O燃料電池■水素技術開発中間報告会要 旨集、 平成 1 7年 1 2月 2 7日発表、 p . 3 9 - 4 0 Non-Patent Document 2: Masaaki Izumi, Yuji Goto, “Research and Development on Measurement Technology and Modeling of Polymer Electrolyte Fuel Cell”, NEDO Fuel Cell ■ Summary of Hydrogen Technology Development Interim Report Meeting, February 1999 2 Announced on 7th, p. 3 9-4 0
発明の開示 Disclosure of the invention
[0005] ところが、 上述した非特許文献 1および 2に記載の方法は、 それぞれ、 以 下の点で改善の余地があった。 [0005] However, the methods described in Non-Patent Documents 1 and 2 described above have room for improvement in the following points.
[0006] まず、 非特許文献 1に記載の分割電極法においては、 分割電極を組み込ん だ燃料電池セルを製作する必要があり、 計測するための装置で実測するため 、 分割電極を用いていない実機とは異なる計測結果となる可能性があり、 実 験データの信頼性の点で改善の余地があった。 また、 新しいセルを設計、 製 作するごとに、 分割電極も設計、 製作し直さなければならず、 開発コストが 増加する点でも、 実用的ではなかった。 [0006] First, in the split electrode method described in Non-Patent Document 1, a split electrode is incorporated. It is necessary to manufacture a fuel cell, and since it is actually measured with a device for measurement, there is a possibility that the measurement result may be different from the actual machine that does not use the divided electrode, and the reliability of the experimental data is improved There was room for. In addition, each time a new cell is designed and manufactured, the split electrodes must be designed and manufactured again, which is not practical in terms of increasing development costs.
[0007] また、 非特許文献 2に記載のホール素子を用いた方法では、 電極中に電流 が流れることで発生する磁場を計測しているが、 この磁場強度は地磁気の強 さにほぼ等しく、 微弱な値である。 このような微弱な磁場強度を正確に計測 するには、 ホール素子が高い分解能と高い再現性を持つことを要求される。 [0007] Further, in the method using the Hall element described in Non-Patent Document 2, the magnetic field generated by the current flowing in the electrode is measured, but the magnetic field strength is almost equal to the strength of the geomagnetism. It is a weak value. In order to accurately measure such a weak magnetic field strength, the Hall element is required to have high resolution and high reproducibility.
[0008] また、 たとえば燃料電池の計測にホール素子を用いようとした場合、 ホー ル素子は温度変化にも敏感であり、 発熱を伴う燃料電池の内部やその周囲に 設置してホール素子で磁場を計測するには、 各温度で計測されたホール素子 に流れる電流または抵抗値と印加した磁場強度との関係を予め校正曲線とし て素子の非線形性を補正できるように準備し、 燃料電池に適用した際のホー ル素子自体の温度を非常に高い精度で計測した上で、 校正曲線から磁場を算 出するという非常に手間がかかる手法をとらねばならない。 さらに、 真のホ ール素子温度を計測することが困難であるという問題もあった。 [0008] Also, for example, when a Hall element is used for measurement of a fuel cell, the Hall element is sensitive to temperature changes, and is installed in and around a fuel cell that generates heat, and a magnetic field is generated by the Hall element. In order to measure the non-linearity of the element, the relationship between the current or resistance value flowing through the Hall element measured at each temperature and the applied magnetic field strength can be used as a calibration curve in advance and applied to the fuel cell. In this case, the temperature of the hole element itself must be measured with very high accuracy, and a very time-consuming method of calculating the magnetic field from the calibration curve must be taken. Furthermore, there is a problem that it is difficult to measure the true hall element temperature.
[0009] これらのことから、 ホールセンサを用いる方法は、 検討されてはいるもの の、 未だ研究段階にあり、 実用化には遠い水準のものであった。 [0009] For these reasons, the method using the Hall sensor has been studied, but it is still in the research stage and is far from practical use.
[0010] 以上のように、 従来技術では、 試料の面内の電流分布を局所的に測定する ことは困難であった。 [0010] As described above, with the conventional technique, it is difficult to locally measure the current distribution in the surface of the sample.
[001 1 ] 本発明によれば、 [001 1] According to the present invention,
核磁気共鳴法を用いて試料の特定箇所の電流を局所的に測定する装置であ つて、 A device that locally measures the current at a specific part of a sample using nuclear magnetic resonance,
前記試料に対して静磁場を印加する静磁場印加部と、 A static magnetic field application unit that applies a static magnetic field to the sample;
前記試料に対して励起用振動磁場を印加するとともに、 前記試料の特定箇 所で発生した核磁気共鳴信号を取得する、 前記試料よりも小さい小型 R Fコ ィルと、 前記小型 R Fコィルで取得された前記核磁気共鳴信号の周波数と前記励起 用振動磁場の周波数との差分を算出し、 前記差分から、 前記試料の前記特定 箇所の電流を算出する電流算出部と、 A small RF coil smaller than the sample, which applies an oscillating magnetic field for excitation to the sample and obtains a nuclear magnetic resonance signal generated at a specific location of the sample; Calculating a difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the excitation oscillating magnetic field, and calculating a current of the specific portion of the sample from the difference;
を備える測定装置が提供される。 A measuring device is provided.
[0012] また、 本発明によれば、 [0012] Further, according to the present invention,
核磁気共鳴法を用いて燃料電池の固体高分子電解質膜の面内の電流の分布 を取得する装置であって、 An apparatus for acquiring a current distribution in a plane of a solid polymer electrolyte membrane of a fuel cell using a nuclear magnetic resonance method,
前記固体高分子電解質膜に対して静磁場を印加する静磁場印加部と、 前記固体高分子電解質膜に対して励起用振動磁場を印加するとともに、 前 記固体高分子電解質膜の特定箇所で発生した核磁気共鳴信号を取得する、 前 記固体高分子電解質膜よりも小さい、 複数の小型 R Fコイルと、 A static magnetic field applying unit that applies a static magnetic field to the solid polymer electrolyte membrane; and an oscillating magnetic field for excitation applied to the solid polymer electrolyte membrane, and generated at a specific location of the solid polymer electrolyte membrane. A plurality of small RF coils that are smaller than the solid polymer electrolyte membrane,
前記複数の小型 R Fコイルについて、 前記小型 R Fコイルで取得された前 記核磁気共鳴信号の周波数と前記励起用振動磁場の周波数との差分を算出し 、 前記差分から、 前記固体高分子電解質膜の面内の電流分布を取得する電流 分布取得部と、 For the plurality of small RF coils, a difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the oscillating magnetic field for excitation is calculated, and from the difference, the solid polymer electrolyte membrane A current distribution acquisition unit for acquiring an in-plane current distribution;
を備える測定装置が提供される。 A measuring device is provided.
[0013] また、 本発明によれば、 [0013] Further, according to the present invention,
核磁気共鳴法を用いて試料の特定箇所の電流を局所的に測定する方法であ つて、 A method of locally measuring the current at a specific part of a sample using a nuclear magnetic resonance method.
静磁場に置かれた前記試料の特定箇所に対し、 前記試料より小さい小型 R Fコイルを用いて、 励起用振動磁場を印加するとともに、 前記特定箇所で発 生した核磁気共鳴信号を取得する第一ステツプと、 First, an excitation oscillating magnetic field is applied to a specific location of the sample placed in a static magnetic field using a small RF coil smaller than the sample, and a nuclear magnetic resonance signal generated at the specific location is acquired. Steps,
前記第一ステツプで取得した前記核磁気共鳴信号の周波数と前記励起用振 動磁場の周波数との差分を算出し、 前記差分から、 前記試料の前記特定箇所 の電流を求める第二ステップと、 A second step of calculating a difference between the frequency of the nuclear magnetic resonance signal acquired in the first step and the frequency of the excitation magnetic field, and obtaining a current at the specific location of the sample from the difference;
を含む、 測定方法が提供される。 A measurement method is provided.
[0014] 本発明においては、 試料より小さい小型 R Fコイルを用いて、 局所的に励 起用振動磁場を印加するとともに、 励起用振動磁場を印加した箇所から発せ られる核磁気共鳴信号を取得し、 得られた核磁気共鳴信号から試料の特定箇 所における電流を求める。 小型 R Fコイルにより測定対象となる部位を限定 して励起用振動磁場を与えることにより、 試料の所定の領域における局所的 な電流を短時間で測定することができる。 [0014] In the present invention, an excitation oscillating magnetic field is applied locally using a small RF coil smaller than the sample, and emitted from the location where the excitation oscillating magnetic field is applied. The obtained nuclear magnetic resonance signal is obtained, and the current at a specific portion of the sample is obtained from the obtained nuclear magnetic resonance signal. By applying an oscillating magnetic field for excitation by limiting the region to be measured with a small RF coil, the local current in a predetermined region of the sample can be measured in a short time.
[0015] また、 電流を求める際に、 周波数分解能の高い核磁気共鳴信号を用いるこ とにより、 測定精度を向上させることができる。 また、 核磁気共鳴信号の周 波数と励起用振動磁場の周波数との差分を算出し、 差分から電流を求めるこ とにより、 非特許文献 2を参照して前述したホール素子を用いた測定のよう な絶対値を用いる方法に比べて、 温度環境などの素子周囲の環境変化による 影響や、 校正曲線の必要性を低減させることができるため、 測定精度をより 一層向上させることができる。 [0015] In addition, the measurement accuracy can be improved by using a nuclear magnetic resonance signal with high frequency resolution when obtaining the current. In addition, by calculating the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation, and obtaining the current from the difference, the measurement using the Hall element described above with reference to Non-Patent Document 2 is performed. Compared with methods that use absolute values, the effects of changes in the environment around the element, such as the temperature environment, and the need for a calibration curve can be reduced, so measurement accuracy can be further improved.
[001 6] ここで、 核磁気共鳴信号の周波数と励起用振動磁場の周波数との差分は、 具体的には、 下記 ( i ) に対する下記 ( i i ) として求めることができる。 [001 6] Here, the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation can be specifically obtained as (i i) below with respect to (i) below.
( i ) 励起用振動磁場として R F発振器が持っている (記憶している) 「電 流が流れていない時の基準となる周波数」 (i) The RF oscillator as an oscillating magnetic field for excitation has (remembered) “frequency that is the reference when no current is flowing”
( i i ) 「電流が流れて形成される磁場により核磁気共鳴信号の周波数が増 減する量」 (i i) “Amount by which the frequency of the nuclear magnetic resonance signal is increased or decreased by the magnetic field formed by the flow of current”
上記 ( i i ) は、 たとえば位相の変化量として計測される。 The above (i i) is measured, for example, as a phase change amount.
[001 7] このとき、 電流が流れていない時に磁石のみで作られる静磁場の下での核 磁気共鳴信号の周波数に等しく合わせた励起用振動磁場の周波数がまずあり 、 電流が流れたことで作られた磁場と磁石によってもともと印加されている 静磁場の両方の磁場の下で計測された核磁気共鳴信号の周波数との間に差が 生ずることを利用して、 電流が流れた場合と流れていない場合の位相差から 周波数差を計測する。 [001 7] At this time, when the current is not flowing, the frequency of the excitation oscillating magnetic field is equal to the frequency of the nuclear magnetic resonance signal under the static magnetic field created only by the magnet, and the current flows. Current flows and flows using the difference between the magnetic field generated and the frequency of the nuclear magnetic resonance signal measured under both the static magnetic field originally applied by the magnet. Measure the frequency difference from the phase difference when not.
[0018] なお、 本明細書において、 「静磁場」 は、 核磁気共鳴信号および電流の取 得を安定的に行うことが可能な程度に時間的に安定な磁場であれば、 完全に 安定な磁場でなくてもよく、 その範囲内で多少の変動があってもよい。 [0018] In the present specification, the "static magnetic field" is a completely stable magnetic field as long as the magnetic field is stable in time so that the nuclear magnetic resonance signal and current can be stably acquired. It may not be a magnetic field, and there may be some variation within that range.
[001 9] また、 本発明において、 求められた電流を空間的な分布として表現するた めに、 電流が流れている面積で除して、 電流密度として表現することもでき る。 [001 9] In the present invention, the obtained current is expressed as a spatial distribution. Therefore, it can be expressed as the current density divided by the area where the current flows.
[0020] 本発明の測定装置は、 前記核磁気共鳴信号の実部および虚部を検波する検 波部をさらに備えてもよく、 前記電流算出部が、 前記検波部で検波された前 記実部および前記虚部を用いて前記核磁気共鳴信号の周波数と前記励起用振 動磁場の周波数との差分を算出してもよい。 [0020] The measurement apparatus of the present invention may further include a detection unit that detects a real part and an imaginary part of the nuclear magnetic resonance signal, and the current calculation unit is detected by the detection unit. The difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation oscillating magnetic field may be calculated using the imaginary part and the imaginary part.
また、 本発明の測定方法において、 前記第二ステップにおいて、 前記核磁 気共鳴信号の実部および虚部を検波し、 前記実部および前記虚部を用いて前 記核磁気共鳴信号の周波数と前記励起用振動磁場の周波数との差分を算出す ることもできる。 Further, in the measurement method of the present invention, in the second step, the real part and the imaginary part of the nuclear magnetic resonance signal are detected, and the frequency of the nuclear magnetic resonance signal and the frequency using the real part and the imaginary part are detected. The difference from the frequency of the oscillating magnetic field for excitation can also be calculated.
これにより、 周波数の差分をより簡便で確実に求められる。 As a result, the frequency difference can be obtained more simply and reliably.
[0021 ] なお、 ある時間間隔での位相の変化量を単位時間あたりに換算すると周波 数の差となる観点では、 検波された実部および虚部を用いて、 励起用振動磁 場を基準とした時の核磁気共鳴信号のある時間間隔での位相の変化量、 また は、 両者の周波数の差を算出してもよい。 [0021] Note that, from the viewpoint of the difference in frequency when the amount of phase change at a certain time interval is converted per unit time, using the detected real part and imaginary part, the excitation vibration magnetic field is used as a reference. The amount of change in phase at a certain time interval of the nuclear magnetic resonance signal or the difference between the two frequencies may be calculated.
[0022] 本発明において、 試料の種類毎に、 核磁気共鳴信号の周波数と励起用振動 磁場の周波数との差分と電流との相関関係を示す情報、 たとえば検量線デ一 タを保有する記憶部を備え、 前記電流算出部が、 前記記憶部から測定対象の 試料に対応する前記情報を取得し、 該情報に基づいて電流を算出する構成と してもよい。 [0022] In the present invention, for each sample type, a storage unit that stores information indicating the correlation between the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation vibration magnetic field and the current, for example, calibration curve data The current calculation unit may acquire the information corresponding to the sample to be measured from the storage unit, and calculate the current based on the information.
[0023] 本発明において測定対象となる試料は、 たとえば膜とすることができる。 [0023] The sample to be measured in the present invention can be, for example, a film.
このとき、 膜中の局所的な電流を把握することが可能となる。 At this time, it is possible to grasp the local current in the film.
[0024] また、 本発明の測定装置が複数の前記小型 R Fコイルを備え、 前記複数の 小型 R Fコイルが、 前記試料の複数箇所に対し、 前記励起用振動磁場を印加 するとともに、 前記核磁気共鳴信号を取得し、 前記電流算出部が、 前記試料 の前記複数箇所における電流を算出するように構成されていてもよい。 [0024] Further, the measurement apparatus of the present invention includes a plurality of the small RF coils, and the plurality of small RF coils apply the excitation oscillating magnetic field to a plurality of locations of the sample, and the nuclear magnetic resonance. A signal may be acquired, and the current calculation unit may be configured to calculate currents at the plurality of locations of the sample.
[0025] こうすることにより、 簡易な構成で電流の多点同時測定が可能となる。 ま た、 たとえば試料が膜であれば、 膜の電流分布に関する情報が得られる。 複 数の小型 R Fコイルの配置は任意であり、 測定対象の形状等に応じてァレイ 化することができる。 [0025] By doing this, it is possible to measure multiple points of current simultaneously with a simple configuration. For example, if the sample is a film, information on the current distribution of the film can be obtained. Duplicate The number of small RF coils can be arranged arbitrarily, and can be arrayed according to the shape of the object to be measured.
[0026] ここで、 小型 R Fコイルは、 たとえばパルス状の前記励起用振動磁場を印 加するとともに、 前記励起用振動磁場に対応する F I D (Free I nduct i on de cay: 自由誘導減衰) 信号を取得し、 前記電流算出部が、 前記 F I D信号の実 部および虚部を取得することができる。 また、 このとき、 ノイズに比べて有 意な F I D信号が取得できる程度の励起パルスで磁化べク トルが励起されて いればよく、 励起パルスが磁化べク トルを励起させる角度 (静磁場方向を基 準として傾ける角度) は任意である。 [0026] Here, the small RF coil applies, for example, the pulsed oscillating magnetic field, and also outputs a FID (Free Inductive Decay) signal corresponding to the oscillating magnetic field for excitation. The current calculation unit can acquire the real part and the imaginary part of the FID signal. At this time, it is only necessary that the magnetization vector is excited with an excitation pulse that can obtain a significant FID signal compared to noise, and the angle at which the excitation pulse excites the magnetization vector (the direction of the static magnetic field is changed). The angle of tilting as a reference) is arbitrary.
この角度を任意とすることで、 "Π緩和時定数に関わる磁化べク トルの回復 時間を短くすることもでき、 より短時間の繰り返し時間で励起パルスを照射 できて、 電流分布の短時間計測が可能となる。 By making this angle arbitrary, “It is possible to shorten the recovery time of the magnetization vector related to the relaxation time constant and to irradiate the excitation pulse with a shorter repetition time and to measure the current distribution in a short time. Is possible.
[0027] また、 小型 R Fコイルは、 たとえば励起用振動磁場を以下のシーケンスで 印加するとともに、 当該励起用振動磁場に対応するエコー信号を取得するこ ともできる。 [0027] Further, the small RF coil can apply an excitation oscillating magnetic field in the following sequence, for example, and can also acquire an echo signal corresponding to the excitation oscillating magnetic field.
( a ) 9 0 ° パルス、 および、 (a) 90 ° pulse, and
( b ) ( a ) のパルスの時間て経過後に印加される 1 8 0 ° パルス。 (b) A 180 ° pulse applied after the elapse of the pulse of (a).
[0028] 励起用振動磁場を上記 (a ) および (b ) を含むパルスシーケンスとし、 電流算出部が、 ェコ一信号の実部および虚部を取得するスピンエコー法を用 いることにより、 エコー信号の位相を収束させることができる。 また、 後述 するように磁場の不均一性に起因する測定誤差を効果的に低減させることが できる。 このため、 核磁気共鳴信号の実部および虚部の測定精度をさらに向 上させることができる。 たとえば、 前記第二ステップにおいて、 前記エコー 信号の実部および虚部を検波し、 前記実部および前記虚部を用いて前記核磁 気共鳴信号の周波数と前記励起用振動磁場の周波数との差分を算出してもよ い。 [0028] The excitation oscillating magnetic field is a pulse sequence including the above (a) and (b), and the current calculation unit uses the echo echo method to obtain the real part and imaginary part of the echo signal. The phase of the signal can be converged. Also, as will be described later, measurement errors due to magnetic field inhomogeneities can be effectively reduced. For this reason, the measurement accuracy of the real part and the imaginary part of the nuclear magnetic resonance signal can be further improved. For example, in the second step, the real part and the imaginary part of the echo signal are detected, and the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the excitation oscillating magnetic field is calculated using the real part and the imaginary part. You may calculate it.
[0029] なお、 本明細書において、 「F I D信号」 および 「エコー信号」 は、 励起 用振動磁場に対応するとともに実部および虚部の検波が可能な核磁気共鳴信 号として機能する信号であればよい。 [0029] In this specification, "FID signal" and "echo signal" are nuclear magnetic resonance signals that correspond to the excitation oscillating magnetic field and can detect the real part and the imaginary part. Any signal that functions as a signal may be used.
[0030] また、 本発明における 「パルスシーケンス」 とは、 励起用振動磁場を印加 する時刻とその間隔とを設定するタイミングダイアグラムを規定するシーケ ンスである。 ここで、 タイミングダイアグラムは、 時系列的に必要な操作を 行う手順表も含んでいる。 [0030] In addition, the "pulse sequence" in the present invention is a sequence that defines a timing diagram for setting a time at which an excitation oscillating magnetic field is applied and its interval. Here, the timing diagram also includes a procedure table for performing necessary operations in time series.
[0031] また、 上記パルスシーケンスに加え、 90° パルス (a) より時間てだけ 前の時刻に、 1 80° パルスを印加するステップを加えた別のシーケンスを 実行するようにしてもよい。 90° パルス (a) で取得した N MR信号の強 度と、 1 80° パルス (b) での時間てを適宜選んで取得した N MR信号の 強度とを比較することで、 R Fコイルから照射する励起用振動磁場の強度が 、 正確に 90° 、 1 80° に対応しているかを判断することができる。 二つ のパルスの強度が 1対 2の関係、 または照射エネルギが 1対 4、 またはパル ス印加時間が 1対 2の関係にあり、 磁化ベク トルをそれぞれ 90° および 1 80° に励起することが測定値の確からしさと再現性を向上させる重要な要 因となる。 この結果、 装置の異常または調整の未熟さにより二つのパルスの 関係が不適切になった場合でも、 測定を行う前の段階で異常を検知でき、 測 定値をより確からしいものとすることができる。 [0031] In addition to the above pulse sequence, another sequence in which a step of applying a 180 ° pulse is added at a time just before the 90 ° pulse (a) may be executed. By comparing the intensity of the N MR signal acquired with the 90 ° pulse (a) with the intensity of the N MR signal acquired by selecting the time at the 1 80 ° pulse (b) as appropriate, the irradiation from the RF coil It can be determined whether the intensity of the oscillating magnetic field for excitation corresponds exactly to 90 ° and 1800 °. The intensity of the two pulses is 1 to 2, or the irradiation energy is 1 to 4, or the pulse application time is 1 to 2, and the magnetization vector is excited to 90 ° and 1 80 ° respectively. This is an important factor in improving the accuracy and reproducibility of measured values. As a result, even if the relationship between the two pulses becomes inappropriate due to device abnormality or immature adjustment, the abnormality can be detected before the measurement is performed, and the measured value can be made more probable. .
[0032] また、 本発明において、 前記小型 R Fコイルに前記励起用振動磁場を発生 させる R F信号を生成する R F信号生成部と、 前記小型 R Fコイルにより取 得されたエコー信号を検出するとともに、 該エコー信号を前記電流算出部に 送出するエコー信号検出部と、 前記小型 R Fコイル、 前記 R F信号生成部お よび前記エコー信号検出部を接続する分岐部に設けられ、 前記小型 R Fコィ ルと前記 R F信号生成部とが接続された状態と、 前記小型 R Fコイルと前記 ェコ一信号検出部とが接続された状態とを切り替えるスィッチ回路と、 をさ らに備える構成とすることができる。 [0032] In the present invention, an RF signal generation unit that generates an RF signal for generating the excitation oscillating magnetic field in the small RF coil, and an echo signal obtained by the small RF coil are detected, and An echo signal detection unit that sends an echo signal to the current calculation unit; and a branch unit that connects the small RF coil, the RF signal generation unit, and the echo signal detection unit; and the small RF coil and the RF A switch circuit that switches between a state in which the signal generation unit is connected and a state in which the small RF coil and the echo signal detection unit are connected can be provided.
[0033] こうすることにより、 小型 R Fコイルから試料に印加される励起用高周波 パルス信号の損失を低減し、 この結果、 90° パルスおよび 1 80° パルス のパルス角を正確に制御することが可能となる。 [0034] また、 励起用振動磁場のパルスシーケンスは、 以下の (a) (b) および (c) を含む構成とすることもできる。 [0033] By doing this, the loss of the excitation high-frequency pulse signal applied to the sample from the small RF coil is reduced, and as a result, the pulse angle of 90 ° pulse and 1 80 ° pulse can be accurately controlled. It becomes. In addition, the pulse sequence of the excitation oscillating magnetic field may include the following (a), (b), and (c).
(a) 90° パルス、 (a) 90 ° pulse,
(b) (a) のパルスの時間て経過後に印加される 1 80° パルス、 および (b) 1 80 ° pulse applied after the time of pulse in (a), and
(c) (b) のパルスの時間 2て経過後からはじまり、 時間 2ての間隔で印 カロされる n個の 1 80° パルス。 (c) n 1 80 ° pulses that start after time 2 of pulse (b) has elapsed and are printed at time 2 intervals.
なお、 nは自然数である。 N is a natural number.
[0035] 上記 (a) 〜 (c) からなるパルスシーケンスを用いることにより、 (b ) または (c) のパルスに対応するエコー信号を用いて試料の特定箇所の電 流を測定するとともに、 (b) および (c) のパルスに対応する複数のェコ 一信号を用いて当該特定箇所における試料中のプロ トン性溶媒量を測定する ことができる。 [0035] By using the pulse sequence consisting of (a) to (c) above, the current at a specific part of the sample is measured using an echo signal corresponding to the pulse (b) or (c), and Using a plurality of echo signals corresponding to the pulses of b) and (c), the amount of the protic solvent in the sample at the specific location can be measured.
[0036] このとき、 本発明の測定装置が、 小型 RFコイルで取得された核磁気共鳴 信号に基づいて、 前記試料中のプロ トン性溶媒の量を算出する溶媒量算出部 と、 前記試料の電流を測定する第一測定モードと前記試料中のプロ トン性溶 媒の量を測定する第二測定モードとを切り替える切替部と、 をさらに備え、 前記第一測定モードにあるとき、 前記電流算出部が、 前記小型 RFコイルで 取得された前記核磁気共鳴信号の周波数と前記励起用振動磁場の周波数との 差分に基づく前記試料の前記特定箇所の電流の算出を実行し、 前記第二測定 モードにあるとき、 前記溶媒量算出部が、 前記小型 RFコイルで取得された 前記核磁気共鳴信号に基づく前記試料中の前記特定箇所におけるプロ トン性 溶媒の量の算出を実行する構成とすることができる。 [0036] At this time, the measurement apparatus of the present invention includes a solvent amount calculation unit that calculates the amount of the protonic solvent in the sample based on the nuclear magnetic resonance signal acquired by the small RF coil, A switching unit that switches between a first measurement mode for measuring current and a second measurement mode for measuring the amount of the protonic solvent in the sample, and when in the first measurement mode, the current calculation The unit calculates the current at the specific location of the sample based on the difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil and the frequency of the oscillating magnetic field for excitation, and the second measurement mode The solvent amount calculation unit may calculate the amount of the protonic solvent at the specific location in the sample based on the nuclear magnetic resonance signal acquired by the small RF coil. so That.
[0037] このようにすれば、 第一および第二測定モードの切り替えにより、 電流の 測定に加えて試料中の局所的なプロ トン性溶媒量を短時間で測定することが 可能となる。 [0037] In this way, by switching between the first and second measurement modes, it becomes possible to measure the local amount of the protic solvent in the sample in a short time in addition to the current measurement.
[0038] さらに具体的には、 第二測定モードにおいて、 前記小型 RFコイルが、 前 記励起用振動磁場に対応するエコー信号を取得し、 前記溶媒量算出部が、 前 記エコー信号の強度から、 T2緩和時定数を算出し、 算出した前記 Τ2緩和時定 数から、 前記試料中の特定箇所における前記プロ トン性溶媒の量を算出する こともできる。 [0038] More specifically, in the second measurement mode, the small RF coil acquires an echo signal corresponding to the excitation oscillating magnetic field, and the solvent amount calculation unit calculates from the intensity of the echo signal. , Calculate the T 2 relaxation time constant and calculate Τ 2 relaxation time constant From the number, the amount of the protic solvent at a specific location in the sample can also be calculated.
[0039] このように、 本発明の測定方法において、 一つの測定装置における一度の パルスシーケンスにより、 試料の特定箇所について二つの物理量を測定する こともできる。 たとえば、 本発明において、 前記第一ステップにおいて、 前 記小型 R Fコイルが、 前記 (a ) 、 (b ) および (c ) を含むパルスシ一ケ ンスで、 前記励起用振動磁場を印加するとともに、 前記 (a ) のパルスに対 応ずる F I D信号または前記 (b ) もしくは前記 (c ) のパルスに対応する エコー信号を取得し、 前記第二ステップにおいて、 前記 (a ) のパルスに対 応ずる F I D信号または前記 (b ) もしくは前記 (c ) のパルスに対応する エコー信号の実部および虚部を用いて前記核磁気共鳴信号の周波数と前記励 起用振動磁場の周波数との差分を算出するとともに、 前記 (b ) および前記 [0039] Thus, in the measurement method of the present invention, two physical quantities can be measured for a specific portion of the sample by a single pulse sequence in one measurement apparatus. For example, in the present invention, in the first step, the small RF coil applies the excitation oscillating magnetic field in a pulse sequence including (a), (b) and (c), and An FID signal corresponding to the pulse of (a) or an echo signal corresponding to the pulse of (b) or (c) is acquired, and in the second step, the FID signal corresponding to the pulse of (a) or the The difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation is calculated using the real part and the imaginary part of the echo signal corresponding to the pulse of (b) or (c). ) And above
( c ) のパルスに対応する複数のエコー信号の強度から、 前記 T 2緩和時定数 を算出し、 算出した前記 Τ 2緩和時定数から、 前記試料中の前記特定箇所にお けるプロ トン性溶媒の量を算出することもできる。 さらに具体的には、 上記(c) The T 2 relaxation time constant is calculated from the intensity of a plurality of echo signals corresponding to the pulse of (c), and the proton solvent at the specific location in the sample is calculated from the calculated 前 記2 relaxation time constant. The amount of can also be calculated. More specifically, the above
( b ) における 1回目のパルス対応信号で電流を測定し、 その後の (c ) に おける n回のパルス対応信号群を利用して水分量を測定することができる。 なお、 二つの物理量の測定は、 同時に行われる構成であってもよいし、 交 互等の異なるタイミングで行われる構成であってもよい。 たとえば、 前記第 二ステップにおいて、 前記核磁気共鳴信号の周波数と前記励起用振動磁場の 周波数との差分の算出のためのエコー信号の取得と、 T 2緩和時定数の算出の ためのエコー信号の取得とを、 交互に行ってもよい。 また、 前記第ニステツ プにおいて、 前記核磁気共鳴信号の周波数と前記励起用振動磁場の周波数と の差分の算出のためのエコー信号の取得と、 Τ 2緩和時定数の算出のためのェ コ一信号の取得とを、 同時に行ってもよい。 The current can be measured with the first pulse-corresponding signal in (b), and the moisture content can be measured using the subsequent n-pulse-corresponding signal group in (c). The measurement of the two physical quantities may be performed at the same time, or may be performed at different timings such as alternating. For example, in the second step, the acquisition of an echo signal for calculating the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation, and the echo signal for calculating the T 2 relaxation time constant Acquisition may be performed alternately. Further, in the above first Nisutetsu flop, the nuclear magnetic and acquisition of echo signals for calculating the difference between the frequency of the resonance signal and the frequency of the excitation oscillating magnetic field, T 2 relaxation time E co one for calculating the constants Signal acquisition may be performed simultaneously.
[0040] 上記構成においては、 小型 R Fコイルを用いて、 ( i ) 局所的に励起用振 動磁場を印加するとともに、 ( i i ) 励起用振動磁場を印加した箇所から発 せられるエコー信号を取得し、 得られたエコー信号から T 2緩和時定数 (横緩 和時定数) を求め、 これに基づいて水分量を測定する。 小型 R Fコイルによ り測定対象となる部位を限定してパルスエコー法を適用しているため、 局所 的水分量を短時間で測定することができる。 [0040] In the above configuration, a small RF coil is used to (i) apply an excitation vibration magnetic field locally, and (ii) obtain an echo signal emitted from a location where the excitation vibration magnetic field is applied. The T 2 relaxation time constant (lateral relaxation) Sum the time constant) and measure the water content based on this. Since the pulse-echo method is applied with a small RF coil to limit the area to be measured, the local water content can be measured in a short time.
[0041 ] また、 本発明において、 9 0 ° パルスが第 1位相にあり、 n個の前記 1 8 0 ° パルスが、 前記第 1位相と 9 0 ° ずれた第 2位相にあるようにすること ができる。 実際の測定系においては、 静磁場および励起用振動磁場の磁場不 均一性が発生し、 これが T 2緩和時定数の測定誤差の要因となることがある。 上記構成のパルスシーケンスは、 1 8 0 ° パルスとして上記第 1位相と 9 0 。 ずれた第 2位相にあるものを用いているため、 1 8 0 ° パルスを印加する ことで、 核磁化が回転座標系において反転し、 これにより、 上記磁場不均一 性に由来する測定誤差要因が解消される。 第 2位相 1 8 0 ° パルスは、 周期 的に印加されるので、 そのたびに測定誤差要因が解消されるので、 正確な Τ 2 緩和時定数を確実に得ることができる。 [0041] Further, in the present invention, the 90 ° pulse is in the first phase, and the n number of the 180 ° pulses are in the second phase shifted by 90 ° from the first phase. Can do. In an actual measurement system, magnetic field inhomogeneities of the static magnetic field and excitation oscillating magnetic field occur, which may cause measurement errors in the T 2 relaxation time constant. The pulse sequence with the above configuration is 90 ° with the first phase as a 180 ° pulse. Since the one in the shifted second phase is used, by applying a 180 ° pulse, the nuclear magnetization is reversed in the rotating coordinate system, and this causes a measurement error factor due to the above magnetic field inhomogeneity. It will be resolved. Second phase 1 8 0 ° pulses, since it is periodically applied, so that every time the measurement error factors are eliminated, it is possible to reliably obtain accurate T 2 relaxation time constant.
[0042] 本発明において、 複数の前記小型 R Fコイルを設け、 前記第二測定モード において、 試料の複数箇所に対し、 励起用振動磁場を印加するとともに前記 励起用振動磁場に対応するエコー信号を取得し、 前記試料の複数箇所に対し Τ 2緩和時定数を算出し、 前記 Τ 2緩和時定数に基づいて、 前記試料の前記複数 箇所における水分量を求める構成としてもよい。 さらに、 上記複数箇所にお ける水分量を求めた後、 前記試料の前記複数箇所における水分量に基づいて 前記試料の水分量分布を提示する構成としてもよい。 [0042] In the present invention, a plurality of the small RF coils are provided, and in the second measurement mode, an excitation oscillating magnetic field is applied to a plurality of locations of the sample and an echo signal corresponding to the excitation oscillating magnetic field is acquired. And it is good also as a structure which calculates the 2 relaxation time constant with respect to several places of the said sample, and calculates | requires the moisture content in the said several places of the said sample based on the said 2 relaxation time constant. Furthermore, after obtaining the moisture content at the plurality of locations, the moisture content distribution of the sample may be presented based on the moisture content at the plurality of locations of the sample.
[0043] さらに、 本発明の測定装置において、 試料に対して勾配磁場を印加する勾 配磁場印加部と、 前記小型 R Fコイルで取得された核磁気共鳴信号に基づい て、 前記試料中のプロ トン性溶媒の易動性を算出する易動性算出部と、 前記 試料の電流を測定する第一測定モードと前記試料中のプロ トン性溶媒の易動 性を測定する第三測定モードとを切り替える切替部と、 をさらに備え、 前記 第三測定モードにおいて、 前記小型 R Fコイルが、 前記試料に前記励起用振 動磁場を印加するとともに、 前記励起用振動磁場および前記勾配磁場に対応 する核磁気共鳴信号を取得し、 前記易動性算出部が、 異なる勾配磁場に対応 して得られた前記核磁気共鳴信号の情報に基づいて、 前記試料の前記特定箇 所の前記易動性を算出してもよい。 [0043] Further, in the measurement apparatus of the present invention, a gradient magnetic field application unit that applies a gradient magnetic field to a sample, and a proton in the sample based on a nuclear magnetic resonance signal acquired by the small RF coil. A mobility calculation unit for calculating the mobility of the organic solvent, and a first measurement mode for measuring the current of the sample and a third measurement mode for measuring the mobility of the protonic solvent in the sample. A switching unit; and in the third measurement mode, the small RF coil applies the excitation vibration magnetic field to the sample, and the nuclear magnetic resonance corresponding to the excitation vibration magnetic field and the gradient magnetic field. The signal is acquired, and the mobility calculation unit supports different gradient magnetic fields. The mobility of the specific portion of the sample may be calculated based on the information of the nuclear magnetic resonance signal obtained as described above.
[0044] また、 本発明の測定方法において、 前記試料の特定箇所に対して励起用振 動磁場および勾配磁場を印加するとともに、 前記特定箇所で発生した核磁気 共鳴信号を取得する第三ステップと、 前記第一ステップで得られた核磁気共 鳴信号の情報と、 前記第三ステツプで得られた核磁気共鳴信号の情報とに基 づいて、 前記試料の前記特定箇所の易動性を算出する第四ステップと、 をさ らに含み、 前記第一ステップおよび前記第三ステップにおいて、 前記小型 R Fコイルを用いて前記試料の特定箇所に局所的な磁場を印加するとともに、 前記特定箇所から核磁気共鳴信号を取得し、 前記第一ステップにおいて、 前 記試料に対する勾配磁場の印加を所定のパルスシーケンスにしたがって実行 し、 前記第三ステップにおいて、 前記第一ステップと異なる大きさの前記勾 配磁場の印加を所定のパルスシーケンスにしたがって実行することもできる [0044] In the measurement method of the present invention, a third step of applying an excitation vibration magnetic field and a gradient magnetic field to a specific portion of the sample and acquiring a nuclear magnetic resonance signal generated at the specific portion; Based on the information of the nuclear magnetic resonance signal obtained in the first step and the information of the nuclear magnetic resonance signal obtained in the third step, the mobility of the specific portion of the sample is calculated. And in the first step and the third step, a local magnetic field is applied to a specific portion of the sample using the small RF coil, and a nucleus is formed from the specific portion. A magnetic resonance signal is acquired, and in the first step, application of a gradient magnetic field to the sample is executed according to a predetermined pulse sequence; in the third step, the first step It is also possible to perform the application of the gradient magnetic field of step with different sizes according to a predetermined pulse sequence
[0045] このようにすれば、 第一および第三測定モードの切り替えにより、 電流の 測定に加えて試料中の特定箇所におけるプロ トン性溶媒の易動性についても 測定することが可能となる。 In this way, by switching between the first and third measurement modes, it becomes possible to measure not only the current but also the mobility of the protonic solvent at a specific location in the sample.
[0046] また、 上記構成においては、 小型 R Fコイルを用いて、 ( i ) 局所的に励 起用振動磁場および勾配磁場を印加するとともに、 ( i i ) 励起用振動磁場 および勾配用磁場を印加した箇所から発せられる核磁気共鳴信号を取得し、 異なる勾配磁場に対応して得られた N M R信号から試料の特定箇所における 易動性を測定する。 小型 R Fコイルにより測定対象となる部位を限定してス ピンエコー法および勾配磁場 N M R法を適用しているため、 試料の所定の領 域におけるプロ トン性溶媒の局所的な易動性を短時間で測定することができ る。 [0046] In the above configuration, the small RF coil is used to (i) apply the excitation oscillating magnetic field and gradient magnetic field locally, and (ii) apply the excitation oscillating magnetic field and gradient magnetic field. The nuclear magnetic resonance signal emitted from the sample is acquired, and the mobility at a specific location of the sample is measured from the NMR signal obtained corresponding to different gradient magnetic fields. Since the spin echo method and gradient magnetic field NMR method are applied by limiting the measurement target area with a small RF coil, the local mobility of the protonic solvent in a predetermined region of the sample can be reduced in a short time. It can be measured.
[0047] なお、 本発明により測定される 「易動性」 とは、 試料中におけるプロ トン 性溶媒の移動のしゃすさを表す物性値をいう。 こうした物性値としては、 自 己拡散係数、 および移動度 (移動速度) 等のパラメータが挙げられる。 本発 明によれば、 これらのいずれかのパラメータが得られる。 [0047] The "mobility" measured by the present invention refers to a physical property value representing the movement of a protonic solvent in a sample. Such physical property values include parameters such as self-diffusion coefficient and mobility (movement speed). Main departure According to Ming, one of these parameters can be obtained.
[0048] また、 本発明において、 「異なる勾配磁場」 とは、 一方の勾配磁場がゼロ 、 つまり勾配磁場を印加せずに行った測定である場合も含む。 たとえば、 前 記第一ステップを勾配磁場を印加せずに行ってもよい。 [0048] In the present invention, "different gradient magnetic fields" includes a case where one gradient magnetic field is zero, that is, measurement performed without applying a gradient magnetic field. For example, the first step may be performed without applying a gradient magnetic field.
[0049] また、 本発明において、 勾配磁場印加部は、 種々の態様を採り得る。 たと えば、 小型 R Fコィルから離間して配置された勾配磁場印加コイルとするこ とができ、 小型 R Fコイルと同一平面内に設けられた平面型コイルとしても よい。 また、 小型 R Fコイルを挟んで配置された一対の勾配磁場印加コイル としてもよい。 あるいは、 これらの構成を任意に組み合わせたものとしても よい。 [0049] In the present invention, the gradient magnetic field application unit may take various modes. For example, it can be a gradient magnetic field application coil arranged away from a small RF coil, or a planar coil provided in the same plane as the small RF coil. Alternatively, a pair of gradient magnetic field application coils arranged with a small RF coil in between may be used. Alternatively, these configurations may be arbitrarily combined.
[0050] たとえば、 本発明において、 前記一対の勾配磁場印加コイルの平面形状が 略半月状であって、 半月の弦同士を前記小型 R Fコイル側に向けて対向配置 された構成としてもよい。 こうすることにより、 省スペース化を図りつつ、 高精度の局所的測定が可能となる。 なお、 本明細書において、 略半月状とは 、 一対の平面コイルが弦状の直線領域を有し、 これらを対向配置することに より、 直線領域に垂直な方向に傾斜する勾配磁場を試料に印加することが可 能な構成であることをいい、 このような勾配磁場の印加が可能であれば、 コ ィルの月型の平面形状が半月より大きくても小さくてもよい。 [0050] For example, in the present invention, the pair of gradient magnetic field applying coils may have a substantially half-moon planar shape, and half-moon strings may be arranged to face each other toward the small RF coil. In this way, high-precision local measurement can be performed while saving space. In this specification, a substantially half-moon shape means that a pair of planar coils have a chord-like straight line region, and a gradient magnetic field that inclines in a direction perpendicular to the straight line region by arranging them in a sample. The configuration can be applied, and if the application of such a gradient magnetic field is possible, the plane shape of the moon shape of the coil may be larger or smaller than half a month.
[0051 ] 本発明において、 試料は固体またはゲルからなるマトリクスを含んでいて もよい。 このとき、 溶媒量算出部および易動性算出部は、 それぞれ、 マトリ クス中に含まれるプロ トン性溶媒の量および易動性を算出する構成とするこ とができる。 このような試料として、 水分を含有する膜、 たとえば、 燃料電 池等に用いられる固体電解質膜等が挙げられる。 [0051] In the present invention, the sample may include a matrix made of a solid or a gel. At this time, the solvent amount calculation unit and the mobility calculation unit can be configured to calculate the amount and mobility of the protonic solvent contained in the matrix, respectively. Examples of such a sample include a film containing moisture, for example, a solid electrolyte film used for a fuel cell or the like.
[0052] また、 本発明において、 電流に加えて試料中の特定箇所におけるプロ トン 性溶媒の量もしくは易動性が測定可能な構成とすることにより、 試料の特定 箇所で生じている現象を多角的に把握することが可能となる。 特に、 燃料電 池の固体電解質膜の測定に適用した場合、 発電状態における電流とプロ トン 性溶媒の存在状態を的確に把握することができる。 [0053] また、 本明細書において、 プロ トン性溶媒とは、 自分自身で解離してプロ トンを生じる溶媒をいう。 プロ トン性溶媒としては、 たとえば、 水; メタノールおよびエタノール等のアルコール; [0052] Further, in the present invention, by adopting a configuration capable of measuring the amount of protonic solvent or mobility at a specific location in the sample in addition to the electric current, the phenomenon occurring at the specific location of the sample can be varied. It becomes possible to grasp it. In particular, when applied to the measurement of solid electrolyte membranes in fuel cells, it is possible to accurately grasp the current in the power generation state and the presence of the protonic solvent. [0053] Further, in the present specification, the protonic solvent refers to a solvent that dissociates itself to generate proton. Protonic solvents include, for example, water; alcohols such as methanol and ethanol;
酢酸等のカルボン酸; Carboxylic acids such as acetic acid;
フエノール; および Phenol; and
液体アンモニアが挙げられる。 このうち、 水やアルコールは本発明における 易動性または溶媒量をさらに安定的に測定可能な溶媒である。 Liquid ammonia is mentioned. Among these, water and alcohol are solvents that can more easily measure the mobility or the amount of solvent in the present invention.
[0054] なお、 これらの各構成の任意の組み合わせや、 本発明の表現を方法、 装置 などの間で変換したものもまた本発明の態様として有効である。 [0054] It should be noted that any combination of these components, or a conversion of the expression of the present invention between methods, devices, etc. is also effective as an aspect of the present invention.
[0055] 以上説明したように、 本発明によれば、 試料の特定箇所の電流を局所的に 測定することができる。 [0055] As described above, according to the present invention, it is possible to locally measure a current at a specific portion of a sample.
図面の簡単な説明 Brief Description of Drawings
[0056] [図 1 ]実施形態における電流の測定手順を示すフローチヤ一トである。 [0056] FIG. 1 is a flowchart showing a procedure for measuring current in the embodiment.
[図 2] C P M G法の補償機能を説明する図である。 FIG. 2 is a diagram for explaining a compensation function of the CPMG method.
[図 3]実施形態における水分量の測定手順を示すフローチヤ一トである。 FIG. 3 is a flowchart showing a procedure for measuring a water content in the embodiment.
[図 4]スピンエコー法により N M R信号を取得する原理を説明するための図で [Fig. 4] A diagram for explaining the principle of acquiring the N MR signal by the spin echo method.
[図 5]自己拡散係数計測のパルスシーケンスの例を示す図である。 FIG. 5 is a diagram showing an example of a pulse sequence for self-diffusion coefficient measurement.
[図 6]実施形態における自己拡散係数の測定手順を示すフローチヤ一トである FIG. 6 is a flowchart showing the procedure for measuring the self-diffusion coefficient in the embodiment.
[図 7]実施形態における測定装置の概略構成を示す図である。 FIG. 7 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
[図 8]実施形態における測定装置の励起用振動磁場の印加および N M R信号の 検出を行う L C回路の一例を示す図である。 FIG. 8 is a diagram showing an example of an LC circuit that performs application of an oscillating magnetic field for excitation and detection of an NMR signal of the measurement apparatus in the embodiment.
[図 9]実施形態における測定装置のスィッチ部の構成を示す図である。 FIG. 9 is a diagram showing a configuration of a switch unit of the measuring apparatus in the embodiment.
[図 10] N M R信号の位相差のずれを説明する図である。 FIG. 10 is a diagram for explaining a phase difference shift of an N M R signal.
[図 1 1 ]実施形態における測定装置の複数の小型 R Fコイルの配置例を示す斜 視図である。 FIG. 11 is a perspective view showing an arrangement example of a plurality of small RF coils of the measuring apparatus in the embodiment.
[図 12]実施形態における測定装置の出力部の構成を示す図である。 [図 13]実施形態における測定装置の概略構成を示す図である。 FIG. 12 is a diagram showing a configuration of an output unit of the measurement apparatus in the embodiment. FIG. 13 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
[図 14]実施形態における測定装置の制御部の構成を示す図である。 FIG. 14 is a diagram showing a configuration of a control unit of the measurement apparatus in the embodiment.
[図 15]実施形態における測定手順を示すフローチヤ一トである。 FIG. 15 is a flowchart showing a measurement procedure in the embodiment.
[図 16]実施形態における測定装置の概略構成を示す図である。 FIG. 16 is a diagram showing a schematic configuration of a measuring apparatus according to an embodiment.
[図 17]実施形態における測定装置の Gコイルの構成を示す図である。 FIG. 17 is a diagram showing a configuration of a G coil of the measuring apparatus in the embodiment.
[図 18]実施形態における測定手順を示すフローチヤ一トである。 FIG. 18 is a flowchart showing a measurement procedure in the embodiment.
[図 19]実施形態における測定装置の概略構成を示す図である。 FIG. 19 is a diagram showing a schematic configuration of a measuring apparatus in an embodiment.
[図 20]実施例における電流の測定方法を説明する図である。 FIG. 20 is a diagram for explaining a method of measuring current in the example.
[図 21 ]実施例で用いた試料を示す図である。 FIG. 21 is a view showing a sample used in an example.
[図 22]実施例におけるェコ一信号を示す図である。 FIG. 22 is a diagram showing an echo signal in the example.
[図 23]実施例における位相差の時間変化を示す図である。 FIG. 23 is a diagram showing a temporal change in phase difference in the example.
[図 24]実施例におけるェコ一信号を示す図である。 FIG. 24 is a diagram showing an echo signal in the example.
[図 25]実施例における位相差の時間変化を示す図である。 FIG. 25 is a diagram showing a temporal change in phase difference in the example.
[図 26]実施例におけるェコ一信号を示す図である。 FIG. 26 is a diagram showing an echo signal in the example.
[図 27]実施例における位相差の時間変化を示す図である。 FIG. 27 is a diagram showing a temporal change in phase difference in the example.
[図 28]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 28 is a diagram showing the relationship between current and frequency shift in the example.
[図 29]実施例におけるェコ一信号を示す図である。 FIG. 29 is a diagram showing an echo signal in the example.
[図 30]実施例における位相差の時間変化を示す図である。 FIG. 30 is a diagram showing a temporal change in phase difference in the example.
[図 31 ]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 31 is a diagram showing the relationship between current and frequency shift in the examples.
[図 32]実施例における電流の測定方法を説明する図である。 FIG. 32 is a diagram for explaining a method of measuring current in the example.
[図 33]実施例における電流の測定装置の構成の一部を示す図である。 FIG. 33 is a diagram showing a part of a configuration of a current measuring apparatus in an example.
[図 34]実施例における電流の測定方法を説明する図である。 FIG. 34 is a diagram for explaining a method of measuring current in the example.
[図 35]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 35 is a diagram showing a relationship between current and frequency shift in the example.
[図 36]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 36 is a diagram showing a relationship between current and frequency shift in the example.
[図 37]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 37 is a diagram showing a relationship between current and frequency shift in the example.
[図 38]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 38 is a diagram showing a relationship between current and frequency shift in the example.
[図 39]実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 39 is a diagram showing a relationship between current and frequency shift in the example.
[図 40]実施例における電流と周波数シフ卜との関係を示す図である。 図 41 実施形態における測定装置の構成を示す図である。 FIG. 40 is a diagram showing a relationship between current and frequency shift in the example. FIG. 41 is a diagram showing a configuration of a measurement apparatus in the embodiment.
図 42 実施例における F I D信号の時間変化を示す図である。 FIG. 42 is a diagram showing a time change of the F I D signal in the example.
図 43 実施例における位相差の時間変化を示す図である。 FIG. 43 is a diagram showing a time change of the phase difference in the example.
図 44 実施例における位相差の時間変化を説明する図である。 FIG. 44 is a diagram for explaining the time change of the phase difference in the example.
図 45 実施例における F I D信号の時間変化を示す図である。 FIG. 45 is a diagram showing the time change of the F I D signal in the example.
図 46 実施例における位相差の時間変化を示す図である。 FIG. 46 is a diagram showing a time change of the phase difference in the example.
図 47 実施例における位相差の時間変化を示す図である。 FIG. 47 is a diagram showing a temporal change in phase difference in the example.
図 48 実施例における F I D信号の時間変化を示す図である。 FIG. 48 is a diagram showing a time change of the F I D signal in the example.
図 49 実施例における位相差の時間変化を示す図である。 FIG. 49 is a diagram showing a temporal change in phase difference in the example.
図 50 実施例における位相差の時間変化を示す図である。 FIG. 50 is a diagram showing a temporal change in phase difference in the example.
図 51 実施例における F I D信号の時間変化を示す図である。 FIG. 51 is a diagram showing a time change of the F I D signal in the example.
図 52 実施例における位相差の時間変化を示す図である。 FIG. 52 is a diagram showing a temporal change in phase difference in the example.
図 53 実施例における位相差の時間変化を示す図である。 FIG. 53 is a diagram showing the time change of the phase difference in the example.
図 54 実施例における電流と周波数シフ卜との関係を示す図である。 FIG. 54 is a diagram showing the relationship between current and frequency shift in the example.
図 55 実施例における解析に用いた静磁場 H 0および磁場 H iの方向を示す図で ある。 FIG. 55 is a diagram showing directions of a static magnetic field H 0 and a magnetic field H i used for the analysis in the example.
図 56]実施例における磁場解析における銅板、 R F検出コイルと水試料の位 置を示す斜視図である。 FIG. 56 is a perspective view showing the positions of the copper plate, RF detection coil, and water sample in the magnetic field analysis in the example.
図 57]実施例における磁場解析に用いた座標系を示す図である。 FIG. 57 is a diagram showing a coordinate system used for magnetic field analysis in an example.
図 58]実施例における解析結果を示す図である。 FIG. 58 is a diagram showing an analysis result in the example.
図 59]実施例における周波数シフト量 Δ ωと電流 I との関係を示す図である 図 60 実施例で用いた小型表面コイルの構成を示す図である。 FIG. 59 is a diagram showing the relationship between the frequency shift amount Δω and the current I in the example. FIG. 60 is a diagram showing the configuration of the small surface coil used in the example.
図 61 実施例における電流 I と周波数シフト量 Δ ωとの関係を示す図である 図 62 実施例における Μ Ε Αの概略構成を示す断面図である。 61 is a diagram showing the relationship between the current I and the frequency shift amount Δω in the example. FIG. 62 is a cross-sectional view showing a schematic configuration of Μ Ε in the example.
図 63 実施例における集電極および P E Mを流れる電流を示す図である。 図 64 実施例における周波数シフト量 Δ ωの解析結果を示す図である。 [図 65]実施例で用いた小型表面コイルの構成を示す図である。 63 is a diagram showing current flowing through the collector electrode and the PEM in the example. FIG. FIG. 64 is a diagram showing an analysis result of a frequency shift amount Δω in the example. FIG. 65 is a diagram showing a configuration of a small surface coil used in Examples.
[図 66]実施例において力一ポンメッシュ上に置かれたコイルを示す図である FIG. 66 is a diagram showing a coil placed on a force-pong mesh in an example.
[図 67]実施例における周波数シフト量 Δ ωの測定結果を示す図である。 FIG. 67 is a diagram showing a measurement result of a frequency shift amount Δω in the example.
[図 68]本実施例における解析に用いた Μ Ε Αの概略構成を示す断面図である FIG. 68 is a cross-sectional view showing a schematic configuration of Μ Ε に used in the analysis in this example.
[図 69]実施例における周波数シフト量の解析結果を示す図である。 FIG. 69 is a diagram showing an analysis result of a frequency shift amount in the example.
[図 70]実施例における M E Aの概略構成を示す断面図である。 FIG. 70 is a cross-sectional view showing a schematic configuration of M EA in an example.
[図 71 ]実施例における計測と解析により得られた周波数シフトを示す図であ る。 FIG. 71 is a diagram showing a frequency shift obtained by measurement and analysis in the example.
[図 72]実施例における M E Aと小型コィルの配置を示す断面図である。 FIG. 72 is a cross-sectional view showing the arrangement of M EA and small coils in the example.
[図 73]実施例における P G S Eと C P M Gの計測タイミングを示す図である FIG. 73 is a diagram showing the measurement timing of P G S E and C P M G in an example.
[図 74]実施例の P G S E計測において、 M E Aを流れた電流の時間変化を示 す図である。 FIG. 74 is a diagram showing a time change of a current flowing through M E A in the P G S E measurement of the example.
[図 75]実施例の P G S E計測において、 M E Aに印加された電圧の時間変化 を示す図である。 FIG. 75 is a diagram showing the time change of the voltage applied to M E A in the P G S E measurement of the example.
[図 76]実施例の P G S E計測における周波数シフト量の測定結果と、 周波数 シフト量の解析結果を示す図である。 FIG. 76 is a diagram showing the measurement result of the frequency shift amount and the analysis result of the frequency shift amount in the PGSE measurement of the example.
[図 77]実施例の P G S E計測における周波数シフト量の時間変化を示す図で FIG. 77 is a diagram showing the time change of the frequency shift amount in the PGSE measurement of the example.
COる。 CO
[図 78]実施例の C P M G計測におけるアノード側コイルで計測されたエコー 信号強度の時間変化を示す図である。 FIG. 78 is a diagram showing temporal changes in echo signal intensity measured by the anode coil in the CPMG measurement of the example.
[図 79]実施例の C P M G計測におけるカソ一ド側コイルで計測されたエコー 信号強度の時間変化を示す図である。 FIG. 79 is a diagram showing temporal changes in echo signal intensity measured by the cathode side coil in the CPMG measurement of the example.
[図 80]実施例における P E M内の含水量と信号強度との関係を示す図である FIG. 80 is a diagram showing the relationship between the water content in P EM and the signal intensity in the example.
[図 81 ]実施例における M E Aの水電解運転時に P E M内で生じている現象を 説明する図である。 [Fig.81] Phenomena occurring in PEM during water electrolysis operation of MEA in Example It is a figure explaining.
発明を実施するための最良の形態 BEST MODE FOR CARRYING OUT THE INVENTION
[0057] 以下、 本発明の実施形態について図面を参照して説明する。 なお、 すべて の図面において、 共通の構成要素には同じ符号を付し、 適宜説明を省略する Hereinafter, embodiments of the present invention will be described with reference to the drawings. In all the drawings, common components are given the same reference numerals, and explanations are omitted as appropriate.
[0058] (測定原理) [0058] (Measurement principle)
はじめに、 後述する実施形態における電流の測定方法の測定原理について 、 例を挙げて説明する。 なお、 電流の測定モードを、 以下、 第一測定モード とも呼ぶ。 First, the measurement principle of a current measurement method in an embodiment described later will be described with an example. Hereinafter, the current measurement mode is also referred to as a first measurement mode.
[0059] ( A ) 電流の測定 [0059] (A) Current measurement
図 1は、 電流の測定手順の概要を示すフローチヤ一トである。 図 1におい ては、 以下のステップを順次行い、 核磁気共鳴 (N M R ) 法を用いて試料の 特定箇所の電流を局所的に測定する。 N M R法においては、 磁場中に置かれ た原子核のスピン共鳴現象により核磁化の運動を N M R信号として検出する ことができる。 小型表面コイル (小型 R Fコイル) を用いて N M R信号を計 測すれば、 コイル周辺部の局所 N M R計測が可能となる。 Figure 1 is a flowchart showing an overview of the current measurement procedure. In Fig. 1, the following steps are performed sequentially, and the current at a specific part of the sample is measured locally using the nuclear magnetic resonance (N M R) method. In the NMR method, the motion of nuclear magnetization can be detected as an NMR signal by the spin resonance phenomenon of a nucleus placed in a magnetic field. If the NMR signal is measured using a small surface coil (small RF coil), local NMR measurement around the coil becomes possible.
ステップ 3 0 1 :試料を磁石が配置された空間に置き、 試料に静磁場を印加 する、 Step 3 0 1: Place the sample in the space where the magnet is placed and apply a static magnetic field to the sample.
ステップ 3 0 3 :静磁場に置かれた試料の特定箇所に対し、 試料より小さい 小型 R Fコイルを用いて、 励起用振動磁場を印加するとともに、 特定箇所で 発生した核磁気共鳴 (N M R ) 信号を取得する、 Step 3 0 3: Apply a vibrating magnetic field for excitation to a specific part of a sample placed in a static magnetic field using a small RF coil that is smaller than the sample, and generate a nuclear magnetic resonance (NMR) signal generated at the specific part. get,
ステップ 3 0 5 :ステップ 3 0 3で取得した核磁気共鳴信号の周波数と励起 用振動磁場の周波数との差分を算出する、 Step 3 0 5: Calculate the difference between the frequency of the nuclear magnetic resonance signal acquired in Step 3 0 3 and the frequency of the oscillating magnetic field for excitation.
ステップ 3 0 7 :ステップ 3 0 5で得られた差分から、 試料の特定箇所の電 流を求める、 および Step 3 07: Obtain the current at a specific part of the sample from the difference obtained in Step 3 0 5, and
ステップ 3 0 9 : その後、 結果を出力する。 Step 3 0 9: Then, output the result.
以下、 ステップ 3 0 3〜3 0 7をそれぞれ詳細に説明する。 Hereinafter, each of steps 3 0 3 to 3 0 7 will be described in detail.
[0060] ( i ) ステップ 3 0 3 (励起用高周波パルスの印加および N M R信号の取得 ) [0060] (i) Step 3 0 3 (Application of high frequency pulse for excitation and acquisition of NMR signal) )
本ステップでは、 励起用振動磁場として、 試料内の計測対象核に照射する 高周波パルスを印加する。 また、 励起用振動磁場による核磁気共鳴現象によ つて試料内の計測対象核から放出される N M R信号を取得する。 In this step, a high frequency pulse applied to the measurement target nucleus in the sample is applied as an oscillating magnetic field for excitation. In addition, the NMR signal emitted from the measurement target nucleus in the sample is acquired by the nuclear magnetic resonance phenomenon caused by the oscillating magnetic field for excitation.
[0061 ] N M R信号は、 具体的には、 励起用高周波パルスに対応するエコー信号で ある。 エコー信号は、 ステップ 3 0 5における周波数の差分を確実に求める ことができるように、 位相が収束していることが好ましい。 また、 高周波パ ルスを、 ェコ一信号の位相がそろうような/ ルスシーケンスで印加すること が好ましい。 [0061] The NMR signal is specifically an echo signal corresponding to the excitation high-frequency pulse. It is preferable that the phase of the echo signal is converged so that the frequency difference in Step 3 0 5 can be obtained reliably. Further, it is preferable to apply the high-frequency pulse in a pulse sequence in which the phases of the echo signals are matched.
このようなパルスシーケンスの具体例については、 図 4を参照して後述す る。 A specific example of such a pulse sequence will be described later with reference to FIG.
[0062] また、 N M R信号は、 位相敏感検波方式により、 実部と虚部とを分離して 検波される。 これにより、 ステップ 3 0 5における周波数の差分の算出が簡 便に行われる。 [0062] Further, the NMR signal is detected by separating the real part and the imaginary part by a phase sensitive detection method. As a result, the calculation of the frequency difference in step 300 is easily performed.
[0063] ( i i ) ステップ 3 0 5 (周波数変化の算出) [0063] (i i) Step 3 0 5 (Calculation of frequency change)
本ステップでは、 ステップ 3 0 3で取得した N M R信号の周波数と励起用 振動磁場の周波数との差分 (周波数シフト) を求める。 In this step, the difference (frequency shift) between the frequency of the NMR signal acquired in step 303 and the frequency of the oscillating magnetic field for excitation is obtained.
[0064] 具体的には、 位相敏感検波方式により取得されたエコー信号の実部と虚部 の a r c t a nを算出することにより位相差△ 0を求める。 そして、 周波数 シフト Δ ωを、 単位時間あたりの位相差△øとして換算する。 Specifically, the phase difference Δ0 is obtained by calculating the real part and the imaginary part of the echo signal acquired by the phase sensitive detection method. Then, the frequency shift Δω is converted as a phase difference Δø per unit time.
[0065] ( i i i ) ステップ 3 0 7 (電流の算出) [0065] (i i i) Step 3 0 7 (Calculation of current)
本ステップでは、 ステップ 3 0 5で取得した周波数の差分△ ωから、 電流 を算出する。 以下、 電流の算出原理を説明する。 In this step, the current is calculated from the frequency difference Δω obtained in Step 3 0 5. Below, the calculation principle of the current will be explained.
[0066] 計測対象に電流が流れれば、 ビォ■サバールの法則から電流 j に正比例し た磁場!"!」が発生する。 そして、 その磁場強度は電流が流れた位置と計測位置 との距離 r n ( nはべき数) に反比例する。 [0066] If a current flows through the measurement target, a magnetic field in direct proportion to the current j! "!" Is generated according to Bio-Savart's law. The magnetic field strength is inversely proportional to the distance r n (where n is a power) between the position where the current flows and the measurement position.
[0067] 一方、 核磁気共鳴現象では、 核磁化の共鳴周波数 ωが磁場強度 Hに正比例 する。 小型検出コイルで磁気共鳴信号を取得している場合には、 小型検出コ ィルが計測している領域の磁場強度 Hを磁気共鳴周波数 ωとして間接的に計 測していることになる。 On the other hand, in the nuclear magnetic resonance phenomenon, the resonance frequency ω of nuclear magnetization is directly proportional to the magnetic field strength H. If the magnetic resonance signal is acquired by the small detection coil, the small detection coil In other words, the magnetic field strength H in the region measured by the magnetic field is indirectly measured as the magnetic resonance frequency ω.
[0068] 磁石が作る空間的にも時間的にも安定した磁場べク トル HQの中で、 電流】 を流して磁場べク トル Η」を作れば、 ある位置での磁場強度 Η」は、 両者の合成 べク トル (Ho+Hj) で表される。 磁場べク トル Hoは一定であるから、 核磁化 の共鳴周波数 ωが Δωだけ増減した場合には、 ある位置での磁場強度!"!」は電 流 j と距離 に関係することになる。 [0068] In a magnetic field vector H Q that is stable both spatially and temporally created by a magnet, if a current is passed to create a magnetic field vector Η, the magnetic field strength Η at a certain position is It is expressed by the combined vector (Ho + Hj) of both. Since the magnetic field vector Ho is constant, when the resonance frequency ω of nuclear magnetization increases or decreases by Δω, the magnetic field strength at a certain position! ”!” Is related to the current j and the distance.
[0069] よって、 たとえば試料の特定箇所に流れる電流 j と周波数の差分△ ωとの 関係を実験的な方法等で予め取得しておくことにより、 ステップ 305で得 られた周波数の差分△ ωから試料に流れた電流 j を求めることができる。 [0069] Therefore, for example, by acquiring in advance an experimental method or the like the relationship between the current j flowing in a specific part of the sample and the frequency difference Δω, the frequency difference Δω obtained in step 305 is obtained. The current j flowing through the sample can be obtained.
[0070] さらに、 複数の小型コイルを試料に配置して、 試料中の複数の位置につい て核磁化の共鳴周波数の増減 Δωを計測すれば、 電流 j とそれが流れた位置 r を逆問題解析によって求めることができる。 [0070] Furthermore, by arranging multiple small coils on the sample and measuring the increase / decrease Δω of the resonance frequency of the nuclear magnetization at multiple positions in the sample, the current j and the position r where it flowed are analyzed by inverse problem analysis. Can be obtained.
[0071] この際、 NMRの検波方式では、 p pmオーダの周波数分解能を持ち、 こ れにより高分解能、 高感度で磁場強度の変化を捉えることができる。 たとえ ば、 励起用振動磁場の周波数が 43MH zである場合、 1 0 H z程度の分解 能は充分に得られる。 [0071] At this time, the NMR detection method has a frequency resolution of the order of p pm, and this makes it possible to capture changes in magnetic field strength with high resolution and high sensitivity. For example, when the frequency of the oscillating magnetic field for excitation is 43 MHz, a resolution of about 10 Hz can be obtained sufficiently.
[0072] 以下、 上記 ( i ) ステップ 303で印加する励起用高周波パルスの具体例 を示す。 [0072] A specific example of the excitation high-frequency pulse applied in step (i) above (i) is shown below.
実際の測定においては、 試料や装置特性に起因する磁場の不均一が生じ、 周波数の差分が正確に得られないことがある。 そこで、 以下の実施形態にお いては、 スピンエコー法を用い、 励起用高周波パルスを、 たとえば以下の ( a) および (b) を含む複数のパルスからなるパルスシーケンスとする。 In actual measurements, magnetic field inhomogeneities due to sample and instrument characteristics may occur, and frequency differences may not be obtained accurately. Therefore, in the following embodiment, the spin echo method is used, and the high frequency pulse for excitation is, for example, a pulse sequence including a plurality of pulses including the following (a) and (b).
(a) 90° パルス、 および、 (a) 90 ° pulse and
(b) (a) のパルスの時間て経過後に印加される 1 80° パルス (b) 1 80 ° pulse applied after the time of pulse in (a)
[0073] 上記 (a) および (b) のパルスシーケンスに従う励起用振動磁場を印加 することにより、 エコー信号の位相が収束し、 こうした磁場の不均一に起因 する測定誤差が効果的に低減される。 また、 対応するエコー信号の位相のば らっきを抑制することができるため、 電流をさらに正確に求めることができ る。 以下、 この理由について図 4を参照して説明する。 [0073] By applying the excitation oscillating magnetic field according to the pulse sequences (a) and (b) above, the phase of the echo signal converges, and the measurement error due to such magnetic field inhomogeneity is effectively reduced. . In addition, the phase of the corresponding echo signal Since current can be suppressed, the current can be obtained more accurately. The reason for this will be described below with reference to FIG.
[0074] 図 4において、 共鳴励起された磁化べク トル M-yは時間と共に緩和してゆく 。 この際に実際に観測される磁気共鳴信号の時間変化は、 スピン—格子緩和 時定数 T ,、 スピン一スピン緩和時定数 T 2のみでは表すことができない別の時 定数の Τ 2*により緩和していく。 この様子が図 4の最下段に信号強度の時間変 化として 9 0 ° 励起パルスの直後から示されている。 一般的に、 この波線で 示された実際に計測される磁気共鳴信号強度は急速に減衰し、 その時定数 Τ 2* は Τ 2よりも短い。 Τ 2緩和による減衰曲線よりも実際に観測される減衰信号が 速く減衰してしまう原因は、 静磁場マグネッ卜の作る外部静磁場の不均一性 、 試料の磁気的性質や形状による試料内磁場の不均一性などにより試料の全 体に渡って均一な磁場が確保されていないことによる。 このような実際に計 測される磁気共鳴信号の時間変化を自由誘導減衰、 英語表記では 「Free I ndu ct i on decayj 、 略した英語表記では 「F I D」 と呼ぶ。 [0074] In Fig. 4, the resonance excited magnetization vector M- y relaxes with time. The time change of the magnetic resonance signal actually observed at this time is relaxed by the spin-lattice relaxation time constant T and another time constant Τ 2 * that cannot be expressed by the spin-spin relaxation time constant T 2 alone. To go. This is shown immediately after the 90 ° excitation pulse as the time variation of the signal intensity at the bottom of Fig. 4. In general, the actually measured magnetic resonance signal intensity indicated by this wavy line decays rapidly, and its time constant Τ 2 * is shorter than Τ 2 . ( 2) The reason why the decay signal actually observed decays faster than the decay curve due to relaxation is because of the non-uniformity of the external static magnetic field created by the static magnetic field magnet, the magnetic field in the sample due to the magnetic properties and shape of the sample This is because a uniform magnetic field is not secured across the entire sample due to inhomogeneities. This time change of the actually measured magnetic resonance signal is called free induction decay, “Free Induction decay j” in English, and “FID” in English.
[0075] この試料や装置特性としての磁場の不均一性による位相のずれを補正する 方法として 「スピンエコー」 がある。 これは、 9 0 ° 励起パルスのて時間後 に、 その 2倍の励起パルス強度を持つ 1 8 0 ° 励起パルスを印加して、 磁化 べク トル Mの位相が X y平面上で乱れていく途中でその位相の乱れを反転さ せ、 2 て時間後には位相を収束させて T 2減衰曲線上にのるエコー信号を得る という手法である。 [0075] "Spin echo" is a method for correcting the phase shift due to magnetic field inhomogeneity as a sample or device characteristic. This is because the phase of the magnetization vector M is disturbed on the xy plane by applying a 180 ° excitation pulse with twice the excitation pulse intensity after the 90 ° excitation pulse. middle reverses the disturbance of the phase, after 2 Te time is a method of obtaining an echo signal to get on and converges the phase T 2 decay curves on.
[0076] なお、 静磁場に沿った方向を便宜上 Ζ方向としたとき、 上記 (b ) で印加 する 1 8 0 ° 励起パルスとしては、 X方向でも Y方向でもどちらの 1 8 0 ° 励起パルスでも使用できる。 [0076] When the direction along the static magnetic field is the Ζ direction for the sake of convenience, the 180 ° excitation pulse applied in (b) above may be either the X direction or the Y direction, either the 180 ° excitation pulse. Can be used.
なお、 上記 (b ) の時間 2 て経過後にさらに 1 8 0 ° パルスを印加し、 こ れに対応するエコー信号を用いて電流計測を行ってもよい。 ただし、 複数回 目のエコー信号を用いて電流計測を行う際には、 できるだけ強いエコー信号 を観測できるように、 Y軸方向の 1 8 0度励起パルスを複数回照射すること が有効である。 その理由は、 後述する図 2 ( a ) 〜図 2 ( d ) の磁化べク ト ルの動きに示されている。 It should be noted that after the elapse of time 2 in the above (b), a further 180 ° pulse may be applied and current measurement may be performed using an echo signal corresponding thereto. However, when performing current measurement using multiple echo signals, it is effective to irradiate the 180 degree excitation pulse multiple times in the Y-axis direction so that the strongest possible echo signal can be observed. The reason is that the magnetization vectors in Fig. 2 (a) to Fig. 2 (d) described later Is shown in the movement of Le.
[0077] これらの方法を採用することによって、 磁化べク トルの位相を収束させ、 できるだけ強いエコー信号を取得することができる。 このようなエコー信号 であれば、 N MR信号をより高い精度で実部、 虚部を検波し、 基準周波数か らの位相の変化量を確実に求めることができる。 [0077] By adopting these methods, the phase of the magnetization vector can be converged and an echo signal as strong as possible can be obtained. With such an echo signal, the real and imaginary parts of the NMR signal can be detected with higher accuracy, and the amount of phase change from the reference frequency can be determined reliably.
[0078] 以上、 電流の測定原理を説明した。 [0078] The current measurement principle has been described above.
つづいて、 N MR法を用いた試料中のプロ トン性溶媒量およびプロ トン性 溶媒量の移動のしゃすさ (易動性) の分布の測定原理について、 プロ トン性 溶媒が水である場合を例に挙げて説明する。 これらは、 第四および第五の実 施形態において後述するように、 電流の測定装置を用いて測定することがで きる。 なお、 以下の説明において、 前述した電流測定と共通のステップにつ いては、 詳細な説明を適宜省略する。 Next, the measurement principle of the distribution of protonic solvent in the sample and the movement of the protonic solvent (mobility) in the sample using the N MR method will be described in the case where the protonic solvent is water. An example will be described. These can be measured using a current measuring device, as described later in the fourth and fifth embodiments. In the following description, detailed description of the steps common to the current measurement described above will be omitted as appropriate.
[0079] まず、 水分量の測定方法を説明する。 なお、 水分量の測定モードを、 以下 、 第二測定モードとも呼ぶ。 [0079] First, a method for measuring the amount of moisture will be described. The moisture content measurement mode is hereinafter also referred to as a second measurement mode.
(B) 水分量の測定 (B) Measurement of water content
以下の実施形態では、 後述する C PMG (Garr-Purcel l-Meiboom-Gi I I)法に より、 T2 (横) 緩和時定数を算出し、 その後、 「Τ2と水分量」 の換算表を用 いて試料の局所的な水分量を算出し、 水分量の分布を把握する。 In the following embodiments, more C PMG (Garr-Purcel l- Meiboom-Gi II) method described below, calculates the T 2 (transverse) relaxation time constant, then the conversion table of the "T 2 and water content" Use this to calculate the local moisture content of the sample and grasp the moisture distribution.
[0080] 図 3は、 水分量測定の概要を示すフローチャートである。 FIG. 3 is a flowchart showing an outline of moisture content measurement.
図 3に示した水分量測定においても、 上述した電流測定と同様に、 まず、 試料を磁石が配置された空間に置き、 試料に静磁場を印加する (S 1 02) 。 この状態で、 試料に対して小型 R Fコイルを介して励起用振動磁場 (高周 波パルス) を印加し、 これに対応する N MR信号 (エコー信号) を取得する (S 1 04) 。 In the water content measurement shown in FIG. 3 as well, as in the current measurement described above, first, the sample is placed in the space where the magnet is arranged, and a static magnetic field is applied to the sample (S 10 02). In this state, an excitation oscillating magnetic field (high frequency pulse) is applied to the sample via a small RF coil, and the corresponding N MR signal (echo signal) is acquired (S 104).
[0081] 次いで、 このエコー信号から T2緩和時定数を算定する (S 1 06) 。 そし て、 得られた Τ2緩和時定数から、 試料中の局所的水分量を測定する (S 1 0 8) 。 具体的には、 試料中の水分量と Τ2緩和時定数との相関関係を示すデ一 タを取得し、 このデータと上記 Τ2緩和時定数とから、 試料中の特定箇所にお ける局所的な水分量を求める。 その後、 結果を出力する (S 1 1 0) 。 以上 の手順 (ステップ 1 04〜ステップ 1 1 0) を、 各小型 RFコイルを介して 行なうことで、 水分量の分布を把握することができる。 Next, a T 2 relaxation time constant is calculated from this echo signal (S 10 06). And from the obtained T 2 relaxation time constant, to measure the local water content in the sample (S 1 0 8). Specifically, to get the de-one data showing the correlation between the water content and the T 2 relaxation time constant of the sample, from this data and the T 2 relaxation time constant, contact to a particular location in the sample Find the local water content. After that, the result is output (S 1 1 0). By performing the above procedure (Step 104 to Step 110) via each small RF coil, the distribution of moisture content can be grasped.
[0082] 以下、 ステップ 1 04〜ステップ 1 08を具体的に説明する。 [0082] Hereinafter, step 104 to step 108 will be specifically described.
( i ) ステップ 1 04 (励起用高周波パルスの印加および N MR信号の取得 (i) Step 104 (Applying excitation RF pulse and acquiring N MR signal
) )
ステップ 1 04における励起用高周波パルスは、 複数のパルスからなるパ ルスシーケンスとし、 これに対応するエコー信号群を取得するようにするこ とが好ましい。 こうすることにより、 T2緩和時定数を正確に求めることがで さる。 The excitation high-frequency pulse in step 104 is preferably a pulse sequence composed of a plurality of pulses, and an echo signal group corresponding to the pulse sequence is acquired. In this way, the T 2 relaxation time constant can be obtained accurately.
[0083] パルスシーケンスは、 以下の (a) 、 (b) および (c) を含むものとす ることが好ましい。 [0083] The pulse sequence preferably includes the following (a), (b) and (c).
(a) 90° パルス、 および、 (a) 90 ° pulse and
(b) (a) のパルスの時間て経過後に印加される 1 80° パルス、 および (b) 1 80 ° pulse applied after the time of pulse in (a), and
(c) (b) のパルスの時間 2て経過後からはじまり、 時間 2ての間隔で印 加される n個の 1 80° パルス (nは自然数である。 ) (c) n 1 80 ° pulses (n is a natural number) that starts after the lapse of time 2 of the pulse in (b) and is applied at intervals of time 2
上記 (a) および (b) は、 (A) 電流の測定と共通である。 (A) and (b) above are the same as (A) current measurement.
[0084] 上記 (a) 〜 (c) のパルスシーケンスに従う励起用振動磁場を印加する ことにより、 エコー信号の位相が収束し、 こうした磁場の不均一に起因する 測定誤差が効果的に低減される。 また、 対応するエコー信号の位相のばらつ きを抑制することができるため、 水分量をさらに正確に求めることができる 。 以下、 この理由について図 2 (a) 〜図 2 (d) を参照して説明する。 [0084] By applying the excitation oscillating magnetic field according to the pulse sequences of (a) to (c) above, the phase of the echo signal converges, and measurement errors due to such magnetic field inhomogeneities are effectively reduced. . In addition, since the variation in phase of the corresponding echo signal can be suppressed, the amount of water can be determined more accurately. The reason for this will be described with reference to FIGS. 2 (a) to 2 (d).
[0085] 静磁場中に置かれた水素原子核は、 静磁場に沿った方向 (便宜上、 Z方向 とする) に正味の磁化ベク トルを持ち、 特定の周波数 (これを共鳴周波数と 呼ぶ) の R F波を Z軸に垂直な X軸方向で外部から照射することで磁化べク トルは Y軸の正方向に傾斜し、 核磁気共鳴信号 (N MR信号と呼ぶ) を観測 することができる。 この際、 最大強度の N MR信号を取得するために照射さ れた X軸方向の励起パルスを 90° パルスと呼ぶ。 そして、 磁化ベク トルを 90° パルスによって Y軸の正方向に傾斜させた後、 て時間後に 「Υ軸方向 」 に外部から 1 80° 励起パルスを照射して、 磁化べク トルを 「Υ軸を対称 軸として」 反転させる。 この結果、 2て時間後には磁化ベク トルが Υ軸の 「 正の方向」 上で収束し、 大きな振幅を持つ N MR信号が観測される。 [0085] Hydrogen nuclei placed in a static magnetic field have a net magnetization vector in the direction along the static magnetic field (for convenience, the Z direction), and RF of a specific frequency (this is called the resonance frequency). By irradiating a wave from the outside in the X-axis direction perpendicular to the Z-axis, the magnetization vector tilts in the positive direction of the Y-axis, and a nuclear magnetic resonance signal (referred to as the NMR signal) can be observed. At this time, the excitation pulse in the X-axis direction irradiated to obtain the maximum intensity N MR signal is called a 90 ° pulse. And the magnetization vector After tilting in the positive direction of the Y axis with a 90 ° pulse, irradiate an external 1 80 ° excitation pulse in the `` axis direction '' after a while, and reverse the magnetization vector `` with the axis symmetric '' Let As a result, after two hours, the magnetization vector converges on the “positive direction” of the Υ axis, and an N MR signal with a large amplitude is observed.
[0086] このように磁化べク トルを 「Y軸を対称軸として」 反転させるため、 以下 の補償機能が発現する。 図 2 (a) 〜図 2 (d) は、 スピンエコー法の補償 機能を説明する図である。 なお、 図で示される座標は、 回転座標系である。 [0086] Since the magnetization vector is thus reversed "with the Y axis as the axis of symmetry", the following compensation function appears. Figures 2 (a) to 2 (d) illustrate the compensation function of the spin echo method. The coordinates shown in the figure are a rotating coordinate system.
[0087] 試料の中に、 静磁場の不均一性が無視できるような小さな領域の核磁化と して、 Pと Qを考える。 Pにおける磁場が Qにおける磁場より強いものとす る。 このとき、 図 2 (a) に示すように、 90° パルスを x'軸方向へ印加す ると、 P、 Qの核磁化は、 回転座標系で同じ場所 (y'軸) から歳差運動を始 め、 時間の経過とともに、 Pの位相が Qの位相より進んだものとなる (図 2 (b) ) 。 [0087] Consider P and Q as nuclear magnetization in a small region where the inhomogeneity of the static magnetic field is negligible in the sample. Let the magnetic field at P be stronger than the magnetic field at Q. At this time, as shown in Fig. 2 (a), when a 90 ° pulse is applied in the x'-axis direction, the nuclear magnetization of P and Q precesses from the same location (y'-axis) in the rotating coordinate system. As time passes, the phase of P advances from the phase of Q (Fig. 2 (b)).
[0088] そこで、 90° パルスから時間て経過した時点で y'軸方向に 1 80° パル スを印加すると、 P、 Qの核磁化は y'軸の周りに 1 80° 回転し、 パルスを 印加する前と y'軸に関して対称な配置になる (図 2 (c) ) 。 [0088] Therefore, when a 1 80 ° pulse is applied in the y'-axis direction after the 90 ° pulse has elapsed, the nuclear magnetization of P and Q rotates by 1 80 ° around the y'-axis, The arrangement is symmetric with respect to the y 'axis before application (Fig. 2 (c)).
[0089] この配置では、 より進んだ位相をもっていた核磁化 Pが、 逆に Qより遅れ た位相をもっため、 これからさらに時間て経過した時刻では、 どちらの核磁 化も同時に y' 軸に達することになる (図 2 (d) ) 。 [0089] In this arrangement, the nuclear magnetization P, which had a more advanced phase, has a phase that is later than Q, so that both nuclear magnetizations reach the y 'axis at the same time. (Fig. 2 (d)).
[0090] このような関係は、 試料の中のあらゆる領域の核磁化について成り立った め、 すべての核磁化は、 この時刻に y'軸に集まり、 その結果、 大きな N MR 信号が得られる。 [0090] Since this relationship holds for nuclear magnetization in all regions of the sample, all nuclear magnetization gathers on the y 'axis at this time, resulting in a large N MR signal.
[0091] 以上のように、 はじめに χ'軸方向へ 90° パルスを印加し、 次いで y'軸 方向に 1 80° パルスを印加することにより、 図 2 (c) で示したように、 P、 Qの核磁化は x' y'平面内で反転する。 この核磁化の反転により、 補償 機能が良好に発現する。 たとえば、 (a) 磁場の不均一性、 (b) R Fコィ ルが照射する励起パルス強度の不均一性等の原因により、 P、 Qの位置が x' y '平面上方または下方の位置にずれた場合でも、 X ' y '平面内で核磁化が反 転することにより、 位相のずれが補償される。 [0091] As described above, by first applying a 90 ° pulse in the χ'-axis direction and then applying an 80 ° pulse in the y'-axis direction, as shown in Fig. 2 (c), P, The nuclear magnetization of Q is reversed in the x 'y' plane. This reversal of the nuclear magnetization produces a good compensation function. For example, due to (a) non-uniformity of magnetic field, (b) non-uniformity of excitation pulse intensity irradiated by RF coil, the positions of P and Q are shifted to the position above or below the x 'y' plane. Even if the nuclear magnetization is reversed in the X 'y' plane. By rotating, the phase shift is compensated.
[0092] 以上より、 2て時間後には磁化べク トルが Y軸の 「正の方向」 上で収束し 、 大きな振幅を持つエコー信号が観測される。 さらに、 上記 (c) では、 3 て時間後に磁化べク トルに 「Y軸方向」 に外部から 1 80° 励起パルスを照 射して、 再度、 Υ軸の 「正の方向」 上で収束させて、 4て時間後に大きな振 幅を持つエコー信号を観測する。 さらに、 同様の 2て間隔で、 1 80° パル スを照射し続ける。 この間、 2て, 4て, 6て, ■ ■ ■の偶数番目のエコー 信号のピーク強度を抽出し、 ステップ 1 06において指数関数でフイツティ ングすることで、 CPMG法による Τ2 (横) 緩和時定数を算出することがで さる。 [0092] From the above, after two hours, the magnetization vector converges on the “positive direction” of the Y axis, and an echo signal having a large amplitude is observed. Furthermore, in the above (c), after 3 hours, the magnetization vector is irradiated with an external 180 ° excitation pulse in the “Y-axis direction” and converged again on the “positive direction” of the vertical axis. Then, an echo signal with a large amplitude is observed after 4 hours. In addition, continue to irradiate 1 80 ° pulse at the same interval of two. During this period, the peak intensities of the even-numbered echo signals ( 2 ), (4), (6), and (3) are extracted, and fitted with an exponential function in Step 106, so that CP2 (horizontal) is relaxed by the CPMG method. It is possible to calculate a constant.
[0093] ( i i ) ステップ 1 06 (T2緩和時定数の算出) [0093] (ii) Step 1 06 (Calculation of T 2 relaxation time constant)
Τ2緩和時定数は、 図 4を参照して前述したスピンエコー法を利用すること により的確に測定することができる。 スピンエコーを使用した際のエコー信 号の強度 SS Eは、 TR>>T Eの場合には、 以下の式 (A) で表される。 ( 2) The relaxation time constant can be accurately measured by using the spin echo method described above with reference to FIG. The intensity of the echo signal SSE when using spin echo is expressed by the following equation (A) when TR >> TE.
[0094] [数 1] ヽ [0094] [Equation 1] ヽ
式(A) Formula (A)
j j
[0095] 上記式 (A) において、 pは位置 (X , y, z) の関数としての対象核種 の密度分布、 TRは 90° 励起パルスの繰り返し時間 (1 0 Omsから 1 0 s程度) 、 T Eはエコー時間 (2て、 1 m sから 1 0 Om s程度) 、 Aは R Fコイル検出感度やアンプ等の装置特性を表す定数である。 [0095] In the above formula (A), p is the density distribution of the target nuclide as a function of the position (X, y, z), TR is the 90 ° excitation pulse repetition time (from about 10 Oms to about 10 s), TE is the echo time (2ms, about 1 ms to 10 Oms), and A is a constant that represents the RF coil detection sensitivity and device characteristics such as amplifier.
[0096] ステップ 1 06では、 前述のように、 ステップ 1 04で取得された T2減衰 曲線上にのる複数のエコー信号群 (2て, 4て, 6て, ■ ■ ■ ) を指数関数 でフィッティングすることで、 上記式 (Α) より Τ2緩和時定数を求めること ができる。 [0096] In step 1 06, as described above, Step 1 04 plurality of echo signal groups riding on the obtained T 2 decay curves on the (on 2, 4 Te, Te 6, ■ ■ ■) an exponential By fitting with Τ 2, the relaxation time constant Τ 2 can be obtained from the above equation (Α).
[0097] ( i i i ) ステップ 1 08 (水分量の算出) [0097] (i i i) Step 1 08 (Calculation of water content)
図 3に戻り、 ステップ 1 08では、 T2緩和時定数から水分量を算出する。 試料中の水分量と T2緩和時定数とは、 正の相関を持ち、 水分量の増加につれ て τ2緩和時定数が増大する。 この相関関係は、 試料の種類や形態等により異 なるので、 あらかじめ、 水分濃度がわかっている測定対象試料と同種の試料 について検量線を作成しておくことが望ましい。 すなわち、 水分量が既知の 複数の標準試料に対して水分量と τ2緩和時定数との関係を測定し、 この関係 を表す検量線をあらかじめ求めておくことが望ましい。 このようにして作成 した検量線を参照することで、 τ2緩和時定数測定値から試料中の水分量を算 出することができる。 Returning to Figure 3, in step 108, the water content is calculated from the T 2 relaxation time constant. The amount of water in the sample and the T 2 relaxation time constant have a positive correlation, and the τ 2 relaxation time constant increases as the amount of water increases. Since this correlation varies depending on the type and form of the sample, it is desirable to prepare a calibration curve for a sample of the same type as the sample to be measured whose moisture concentration is known in advance. In other words, it is desirable to measure the relationship between the moisture content and the τ 2 relaxation time constant for a plurality of standard samples with known moisture content, and obtain a calibration curve representing this relationship in advance. By referring to the calibration curve created in this way, the amount of water in the sample can be calculated from the measured value of the τ 2 relaxation time constant.
[0098] 次に、 易動性の算出について説明する。 なお、 易動性の測定モードを、 以 下、 第三測定モードとも呼ぶ。 Next, calculation of mobility will be described. The mobility measurement mode is also called the third measurement mode below.
(C) 易動性の算出 (C) Calculation of mobility
以下の実施形態では、 勾配磁場を印加して PGS E (Pulsed-Gradient Spin -Echo)法による水分子の自己拡散係数を計測することにより、 試料の局所的 な水分子の易動性を算出し、 水分子の易動性の分布を把握する。 In the following embodiment, by applying a gradient magnetic field and measuring the self-diffusion coefficient of water molecules by the PGS E (Pulsed-Gradient Spin-Echo) method, the mobility of local water molecules in the sample is calculated.・ To understand the mobility distribution of water molecules.
[0099] 液体分子内の特定の核スピンを磁気共鳴により励起させた後、 数 1 Om s の間隔をおいて、 一対の勾配磁場パルス (パルス状の勾配磁場) を印加する と、 その間に個々の原子核がブラウン運動や、 拡散により、 移動して、 核ス ピンの位相が収束しなくなるため、 N MR信号の強度が低下する。 段階的に 変化させた勾配磁場パルスと N M R信号の強度の低下とを関連させることで 、 特定分子種の自己拡散係数を測定することができる。 これが PGS E法に よる自己拡散係数の測定原理である。 [0099] After a specific nuclear spin in a liquid molecule is excited by magnetic resonance, a pair of gradient magnetic field pulses (pulsed gradient magnetic field) are applied with an interval of several Om s. N nuclei move due to Brownian motion or diffusion, and the phase of the nuclear spin does not converge, so the intensity of the N MR signal decreases. The self-diffusion coefficient of a specific molecular species can be measured by associating the gradient magnetic field pulse changed stepwise with the decrease in the intensity of the NMR signal. This is the principle of measurement of the self-diffusion coefficient by the PGS E method.
[0100] 図 5は、 自己拡散係数を計測するために用いる PGS Eシーケンスの例を 示す図である。 図 5におけるシーケンスでは、 図 4を参照して前述したスピ ンエコーシーケンスに、 1 80° 励起パルスを対称軸として、 印加時間と強 度が等しい一対の勾配磁場パルス Gzを z方向に加えて、 N MR信号として、 たとえばスピンェコ一信号を取得する。 FIG. 5 is a diagram showing an example of a PGS E sequence used for measuring the self-diffusion coefficient. In the sequence shown in FIG. 5, a pair of gradient magnetic field pulses Gz with the same application time and intensity are applied to the spin echo sequence described above with reference to FIG. N For example, a spin echo signal is acquired as the MR signal.
[0101] 得られる N MR信号のピーク強度 Sは、 印加するパルス勾配磁場強度 G z [0101] The peak intensity S of the obtained N MR signal is the applied pulse gradient magnetic field intensity G z
[g a u s s/m] 、 印加時間 d、 パルス間隔△に依存し、 以下のような関 係式で z方向の自己拡散係数 D z [m2/s] と関係付けられる。 Depending on [gauss / m], application time d, and pulse interval △, It is related to the z-direction self-diffusion coefficient D z [m 2 / s] by the equation.
I n (S/S0) =- r2D z A2d G z2 ( I I ) I n (S / S 0 ) =-r 2 D z A 2 d G z 2 (II)
[0102] 上記式 ( I I ) において、 S0は、 G z = 0とした時の通常の N MR信号強 度を示す。 また、 d、 △および G zは、 それぞれ、 勾配磁場パルスのパルス 幅、 一対の勾配磁場パルスの時間間隔、 および勾配磁場パルスの磁場勾配 ( z方向) を示す。 また、 : Γは、 磁気回転比を示し、 核に固有の値である。 た とえば、 水素原子核 1 Hの場合、 磁気回転比 42. 577 X 1 02 [ 1 /g a[0102] In the above formula (II), S 0 represents the normal N MR signal strength when G z = 0. D, △, and G z indicate the pulse width of the gradient magnetic field pulse, the time interval between the pair of gradient magnetic field pulses, and the magnetic field gradient (z direction) of the gradient magnetic field pulse, respectively. Also,: Γ represents the gyromagnetic ratio, which is a value intrinsic to the nucleus. For example, in the case of hydrogen nucleus 1 H, the gyromagnetic ratio 42. 577 X 1 0 2 [1 / ga
U S S ■ S」 である o O “U S S ■ S”
[0103] なお、 図 5には、 d = 1. 5ms Δ = 34. 5msの場合のシーケンス が例示されている。 たとえばこのような/ ルスシーケンスで試料に磁場を印 加することにより、 N MR信号のピーク強度 Sを用いて、 自己拡散係数 D z を安定的に算出することができる。 Note that FIG. 5 illustrates a sequence in the case of d = 1.5 ms Δ = 34.5 ms. For example, by applying a magnetic field to the sample in such a / Lus sequence, the self-diffusion coefficient D z can be stably calculated using the peak intensity S of the N MR signal.
[0104] 図 6は、 以上のような PGS E法を用いて試料の特定箇所の易動性を測定 するフローチャートであり、 以下のステップを含む。 [0104] FIG. 6 is a flowchart for measuring the mobility of a specific portion of a sample using the PGS E method as described above, and includes the following steps.
はじめに、 試料を磁石などによって作られた静磁場中に置き、 試料に静磁 場を印加する。 この状態で、 小型 RFコイルを介して、 試料に対して所定の パルスシーケンスに従って励起用振動磁場を印加し、 小型 R Fコイルを介し てこれに対応する N MR信号を取得する (S 202) 。 First, place the sample in a static magnetic field created by a magnet or the like, and apply the magnetostatic field to the sample. In this state, an oscillating magnetic field for excitation is applied to the sample according to a predetermined pulse sequence via the small RF coil, and the corresponding N MR signal is obtained via the small RF coil (S202).
[0105] 次に、 試料中の同じ領域について、 励起用振動磁場および勾配磁場を印加 し、 小型 R Fコイルを介してこれに対応する N MR信号を取得する (S 20 4) 。 Next, an oscillating magnetic field for excitation and a gradient magnetic field are applied to the same region in the sample, and a corresponding N MR signal is acquired via a small RF coil (S 204).
[0106] なお、 図 6は、 ステップ 202において勾配磁場は無印加とした場合のフ 口一であるが、 ステップ 202においてステップ 204と異なる大きさの勾 配磁場の印加を所定のパルスシーケンスにしたがって実行してもよい。 この とき、 たとえば、 ステップ 202における勾配磁場の大きさをゼロに近い値 とすることが好ましい。 [0106] Fig. 6 shows a case where no gradient magnetic field is applied in step 202, but in step 202, a gradient magnetic field having a magnitude different from that in step 204 is applied in accordance with a predetermined pulse sequence. May be executed. At this time, for example, it is preferable to set the magnitude of the gradient magnetic field in step 202 to a value close to zero.
[0107] つづいて、 パルス勾配磁場の勾配を段階的に変えて得られた複数の N MR 信号から自己拡散係数 Dを算定する (S 206) 。 なお、 ステップ 206の 後、 ステップ 206で算出された自己拡散係数 Dに基づいて、 試料中の水の 他の易動性を示すパラメータを算出してもよい。 その後、 結果を出力する ( S 208) 。 [0107] Next, the self-diffusion coefficient D is calculated from a plurality of N MR signals obtained by changing the gradient of the pulse gradient magnetic field stepwise (S206). In step 206 Later, based on the self-diffusion coefficient D calculated in step 206, other parameters indicating the mobility of water in the sample may be calculated. After that, the result is output (S208).
このような操作 (ステップ 202〜ステップ 208) を、 各小型 R Fコィ ルを介して行なうことで、 自己拡散係数の分布を把握することができる。 By performing such operations (Step 202 to Step 208) via each small RF coil, the distribution of the self-diffusion coefficient can be grasped.
[0108] 以下、 各ステップの詳細について説明する。 [0108] Details of each step will be described below.
( i ) ステップ 202およびステップ 204 (励起用振動磁場の印加、 勾配 磁場の印加および N M R信号の取得) (i) Step 202 and Step 204 (Application of excitation oscillating magnetic field, application of gradient magnetic field and acquisition of N M R signal)
ステップ 202およびステップ 204では、 試料に対し励起用振動磁場お よび勾配磁場を所定のパルスシーケンスにしたがって印加する。 励起用振動 磁場は、 複数のパルスからなるパルスシーケンスであり、 勾配磁場は、 励起 用振動磁場に対応する一対のパルスシーケンスである。 In Step 202 and Step 204, an excitation oscillating magnetic field and a gradient magnetic field are applied to the sample according to a predetermined pulse sequence. The excitation oscillating magnetic field is a pulse sequence composed of a plurality of pulses, and the gradient magnetic field is a pair of pulse sequences corresponding to the excitation oscillating magnetic field.
[0109] 勾配磁場については、 前述したように、 ステップ 202では勾配磁場をゼ 口またはゼロに近い値とし、 ステップ 204では所定の勾配磁場を印加する [0109] Regarding the gradient magnetic field, as described above, in step 202, the gradient magnetic field is set to a value close to zero or close to zero, and in step 204, a predetermined gradient magnetic field is applied.
[0110] また、 パルスシーケンスは、 以下の (a) 〜 (d) からなるものとするこ とが好ましい。 [0110] Further, the pulse sequence is preferably composed of the following (a) to (d).
(a) 励起用振動磁場の 90° パルス、 (a) 90 ° pulse of oscillating magnetic field for excitation,
(b) (a) のパルス時間の経過後からはじまり、 一定時間 d印加される、 勾配磁場パルス、 (b) Gradient magnetic field pulse that starts after the elapse of the pulse time of (a) and is applied for a certain time d,
(c) (a) のパルスの時間て経過後に印加される励起用振動磁場の 1 80 ° パルス、 および、 (c) 1 80 ° pulse of an oscillating magnetic field for excitation applied after the elapse of the time of the pulse of (a), and
(d) (c) のパルス時間の経過後からはじまり、 一定時間 d印加される、 勾配磁場パルス。 (d) Gradient magnetic field pulse that starts after elapse of the pulse time of (c) and is applied for a certain time d.
ただし、 ステップ 202で勾配磁場をゼロとする場合は、 上記 (b) のシ一 ケンスを行わない。 However, when the gradient magnetic field is set to zero in step 202, the above sequence (b) is not performed.
[0111] さらに具体的には、 前述した図 5に示したように、 (b) の勾配磁場パル スを印加し終える時間と、 (d) の勾配磁場パルスを印加し始める時間とが 、 (c) の 1 80° パルス (パルスといっても、 1 20マイクロ秒の幅があ る。 その中心の 60マイクロ秒を対称軸と考える) から、 等しい時間 ( (3 4. 5m s - 1. 5ms) / = Λ 6. 5 m s ) だけ離れた距離となるよう にし、 さらに、 (b) の勾配磁場パルスの印加時間 dと、 (d) の勾配磁場 パルスの印加時間 dとを共に等しくする (d = 1. 5ms) 。 [0111] More specifically, as shown in FIG. 5 described above, (b) the time to finish applying the gradient magnetic field pulse and (d) the time to start applying the gradient magnetic field pulse are as follows. , (C) 1 80 ° pulse (even though it has a width of 120 microseconds. Considering 60 microseconds at the center as the axis of symmetry), the time is equal ((34.5 m s- (1) 5 ms) / = Λ 6.5 ms), and (b) gradient magnetic field pulse application time d and (d) gradient magnetic field pulse application time d are both Make equal (d = 1.5 ms).
[0112] そして、 パルスシーケンスに対応する N MR信号を測定する。 NMR信号 のピーク強度 Sは、 スピンエコー法により測定される。 具体的には、 図 5に 示したように、 2て時間に現れるエコー信号のピーク強度 Sを計測する。 ピ ーク強度 Sは、 2て時間の N MR信号強度のみではなく、 その周辺の時間で 計測された NMR信号強度の平均値としてもよい。 この方法により、 NMR 信号に含まれるノイズを原因とした測定値のばらつきを低減することができ る。 [0112] Then, the N MR signal corresponding to the pulse sequence is measured. The peak intensity S of the NMR signal is measured by the spin echo method. Specifically, as shown in Fig. 5, the peak intensity S of the echo signal that appears in time 2 is measured. The peak intensity S may be an average value of NMR signal intensities measured not only in the 2 hour NMR signal intensity but also in the surrounding time. This method can reduce variations in measured values caused by noise included in the NMR signal.
[0113] このように、 勾配磁場を段階的に印加して、 磁場勾配を大きくした場合に 対応した N MR信号の低下の程度を検出することにより、 試料中のプロ トン の自己拡散係数 Dが算出される。 [0113] In this way, by applying the gradient magnetic field stepwise and detecting the degree of decrease in the N MR signal corresponding to the increase in the magnetic field gradient, the self-diffusion coefficient D of the proton in the sample is obtained. Calculated.
[0114] なお、 ステップ 204では、 励起用振動磁場および勾配磁場の印加を所定 のパルスシーケンスにしたがって実行するステップ、 および、 このパルスシ —ケンスに対応する N M R信号を取得するステツプを、 一回または複数回実 行する。 [0114] In step 204, the step of executing the excitation oscillating magnetic field and the gradient magnetic field according to a predetermined pulse sequence, and the step of acquiring the NMR signal corresponding to this pulse sequence are performed once or a plurality of times. Run once.
[0115] ( i i ) ステップ 206 (自己拡散係数 Dの測定) [0115] (i i) Step 206 (Measurement of self-diffusion coefficient D)
ステップ 206では、 ステップ 202およびステップ 204で得られた N M R信号のピーク強度から、 試料の特定箇所における水の自己拡散係数 Dを 求める。 プロ トンの自己拡散係数 Dは、 PGS E法で取得された NMR信号 のピーク強度 Sを用いて、 前述した式 ( I I ) で表される。 In step 206, the self-diffusion coefficient D of water at a specific location of the sample is obtained from the peak intensity of the NMR signal obtained in steps 202 and 204. The self-diffusion coefficient D of the proton is expressed by the above formula (I I) using the peak intensity S of the NMR signal obtained by the PGS E method.
[0116] 勾配磁場 Gを印加しなかった時の N MR信号のピーク強度 SQと勾配磁場 G を印加した場合の N MR信号のピーク強度 Sとから、 上記式 ( I I ) を用い て、 試料中のプロ トンの自己拡散係数 Dを求めることができる。 たとえば、 試料中の同じ箇所について勾配磁場 Gの大きさを変えて測定を行い、 I n ( S/S0) と一 2DA2d G2との関係をプロットすることにより、 プロットの 勾配から自己拡散係数 Dを求めることができる。 [0116] from the N MR signal peak intensity S in the case of applying the N peak intensity of the MR signal S Q and the gradient field G when applied with no gradient magnetic field G, using the above formula (II), the sample The self-diffusion coefficient D of the inner proton can be obtained. For example, the same location in the sample is measured by changing the magnitude of the gradient magnetic field G, and I n ( By plotting the relationship between S / S 0 ) and 1 2 DA 2 d G 2 , the self-diffusion coefficient D can be obtained from the slope of the plot.
[0117] なお、 以上に説明した (B) 水分量の測定と (C) 易動性の測定とは、 測 定モードを切り替えて計測してもよい。 また、 各測定モードで算出された水 分量および水の易動性に基づいて、 水分子の移動量の分布を算出することも できる。 [0117] Note that (B) measurement of moisture content and (C) measurement of mobility described above may be performed by switching measurement modes. It is also possible to calculate the distribution of water molecule movement based on the water content calculated in each measurement mode and the water mobility.
[0118] 以下、 上述の測定原理を用いて局所的な電流を測定する方法およびこの方 法を実現する装置をさらに具体的に説明する。 [0118] Hereinafter, a method for measuring a local current using the above-described measurement principle and an apparatus for realizing this method will be described more specifically.
[0119] (第一の実施形態) [0119] (First embodiment)
図 7は、 本実施形態に係る測定装置 300の概略構成を示す図である。 な お、 測定装置 300の各構成要素は、 CPU、 メモリ、 メモリにロードされ た本図の構成要素を実現するプログラム等を中心に、 ハードウェアとソフト ウェアの任意の組合せによって実現される。 そして、 その実現方法、 装置に はいろいろな変形例があることは、 当業者には理解されるところである。 FIG. 7 is a diagram showing a schematic configuration of the measuring apparatus 300 according to the present embodiment. Each component of the measuring apparatus 300 is realized by an arbitrary combination of hardware and software, mainly a CPU, a memory, and a program that implements the components shown in FIG. It will be understood by those skilled in the art that there are various variations in the implementation method and apparatus.
[0120] 測定装置 300は、 N MR法を用いて試料 1 1 5の特定箇所の電流を局所 的に測定する装置であって、 [0120] Measuring device 300 is a device that locally measures the current at a specific location of sample 1 15 using the NMR method.
試料 1 1 5を載置する試料載置台 1 1 6、 Sample mounting table 1 1 6 for mounting sample 1 1 5
試料 1 1 5に対して静磁場を印加する静磁場印加部 (磁石 1 1 3) 、 試料 1 1 5に対して励起用振動磁場を印加するとともに、 試料 1 1 5の特定 箇所で発生した N MR信号を取得する、 試料 1 1 5より小さい小型 RFコィ ル 1 1 4、 および、 A static magnetic field application unit (magnet 1 1 3) that applies a static magnetic field to sample 1 1 5, an oscillating magnetic field for excitation to sample 1 1 5, and N generated at a specific location on sample 1 1 5 Small RF coil 1 1 4 smaller than sample 1 1 5 to acquire MR signal, and
小型 RFコイル 1 1 4で取得された N MR信号の周波数と励起用振動磁場の 周波数との差分 Δωを算出し、 当該差分から、 試料 1 1 5の特定箇所の電流 を算出する電流算出部 303を備える。 The current calculation unit 303 calculates the difference Δω between the frequency of the N MR signal acquired by the small RF coil 1 1 4 and the frequency of the oscillating magnetic field for excitation, and calculates the current at a specific location of the sample 1 1 5 from the difference. Is provided.
[0121] また、 測定装置 300は、 他に、 RF発振器 1 02、 変調器 1 04、 RF 増幅器 1 06、 プリアンプ 1 1 2、 検波器 301、 A/D変換器 1 1 8、 ス イッチ部 1 61、 パルス制御部 1 08、 計時部 1 28、 シーケンステーブル 1 27、 演算部 1 30、 データ受付部 1 31、 記憶部 305、 出力部 1 35 等を備える。 [0121] In addition, the measurement apparatus 300 includes an RF oscillator 10 02, a modulator 104, an RF amplifier 10 06, a preamplifier 1 1 2, a detector 301, an A / D converter 1 1 8, and a switch unit 1. 61, Pulse control unit 1 08, Timekeeping unit 1 28, Sequence table 1 27, Calculation unit 1 30, Data reception unit 1 31, Storage unit 305, Output unit 1 35 Etc.
また、 測定装置 3 0 0は、 図 4 1を参照して後述する構造を備えていても よい。 Further, the measuring device 300 may have a structure described later with reference to FIG.
[0122] 試料 1 1 5は、 測定対象となる試料である。 試料 1 1 5は、 膜、 塊状物質 等の固体、 液体、 寒天、 ゼリー状物質等のゲル等、 種々の形態のものとする ことができる。 膜状物質の場合、 局所的水分量の測定結果が安定的に得られ る。 特に、 固体電解質膜等のように、 膜中に水分を保持する性質の膜を試料 とした場合、 測定結果が一層、 安定的に得られる。 [0122] Sample 1 1 5 is a sample to be measured. The sample 1 15 can be in various forms such as a membrane, a solid such as a lump, a liquid, agar, a gel such as a jelly. In the case of a membranous substance, the measurement result of local water content can be obtained stably. In particular, when a membrane having a property of retaining moisture in the membrane, such as a solid electrolyte membrane, is used as a sample, the measurement result can be obtained more stably.
[0123] 試料載置台 1 1 6は、 試料 1 1 5を載置する台であり、 所定の形状、 材質 のものを用いることができる。 [0123] The sample mounting table 1 1 6 is a table on which the sample 1 1 5 is mounted, and a sample having a predetermined shape and material can be used.
また、 磁石 1 1 3は、 試料 1 1 5に対して静磁場を印加する (図 1の S 3 0 1 ) 。 この静磁場が印加された状態で励起用振動磁場が試料に印加され、 電流の測定がなされる。 Magnet 1 1 3 applies a static magnetic field to sample 1 1 5 (S 3 0 1 in FIG. 1). With this static magnetic field applied, an oscillating magnetic field for excitation is applied to the sample, and the current is measured.
[0124] 小型 R Fコイル 1 1 4は、 試料 1 1 5の特定箇所に対し、 励起用振動磁場 を印加するとともに、 励起用振動磁場に対応する N M R信号を取得する (図 1の S 3 0 3 ) 。 N M R信号は、 具体的には、 励起用振動磁場が核磁気共鳴 を発生させるための高周波パルスである。 [0124] The small RF coil 1 1 4 applies an excitation oscillating magnetic field to a specific part of the sample 1 1 5 and acquires an NMR signal corresponding to the excitation oscillating magnetic field (S 3 0 3 in Fig. 1). ) Specifically, the NMR signal is a high-frequency pulse for the excitation oscillating magnetic field to generate nuclear magnetic resonance.
[0125] 試料内部、 試料表面または試料近傍に配置される小型 R Fコイル 1 1 4は 、 単数でも複数でもよい。 小型 R Fコイル 1 1 4を複数個配置する構成につ いては、 第二の実施形態で後述する。 [0125] There may be one or a plurality of small RF coils 1 14 disposed inside the sample, on the sample surface or in the vicinity of the sample. A configuration in which a plurality of small RF coils 114 are arranged will be described later in the second embodiment.
[0126] 小型 R Fコイル 1 1 4は、 試料全体の大きさの 1 / 2以下とすることが好 ましく、 1 0以下とすることがより好ましい。 このようなサイズとする ことにより、 試料中のプロ トン性溶媒の局所的易動性を短時間で正確に測定 することが可能となる。 なお、 試料の大きさとは、 たとえば、 試料を載置し たときの投影面積とすることができ、 小型 R Fコイル 1 1 4の専有面積を、 上記投影面積の好ましくは 1 / 2以下、 より好ましくは、 1 / 1 0以下とす ることで、 短時間で正確な測定が可能となる。 小型 R Fコイル 1 1 4の大き さは、 たとえば、 直径 1 O m m以下とすることが好ましい。 [0127] 小型 RFコイル 1 1 4は、 たとえば実施例にて後述する図 33 (a) に示 すようなものを用いることができる。 図示したような平面型コイルを用いる ことで、 計測領域を限定し、 局所的な測定を行うことができる。 このような 渦巻き型のコイルの計測領域は、 たとえば幅がコイルの直径程度、 深さがコ ィル半径程度である。 また、 このコイルは、 通常のソレノイ ド型コイルと異 なり、 平面状であるために、 平面状の試料の上に貼り付けるだけで、 NMR 信号を取得することができる。 [0126] The small RF coil 1 1 4 is preferably 1/2 or less, more preferably 10 or less, of the size of the entire sample. By using such a size, it becomes possible to accurately measure the local mobility of the proton solvent in the sample in a short time. The sample size can be, for example, the projected area when the sample is placed, and the exclusive area of the small RF coil 1 14 is preferably 1/2 or less of the projected area, more preferably By setting it to 1/10 or less, accurate measurement can be performed in a short time. The size of the small RF coil 1 14 is preferably, for example, a diameter of 1 O mm or less. As the small RF coil 1 1 4, for example, the one shown in FIG. 33 (a) described later in the embodiment can be used. By using the planar coil as shown in the figure, it is possible to limit the measurement region and perform local measurement. The measurement area of such a spiral coil has a width of about the coil diameter and a depth of the coil radius, for example. In addition, this coil is different from an ordinary solenoid coil, and is flat, so that NMR signals can be acquired simply by pasting on a flat sample.
[0128] また、 小型 RFコイル 1 1 4は、 平面型の渦巻き型コイルに限られず、 種 々の形態のものを用いることができる。 たとえば、 平面型の 8の字コイル ( バタフライコイル、 Do u b I e _D型コイル等と呼ばれることもある。 ) 等も利用可能である。 8の字コイルは、 二つの渦巻き型コイルを含むもので あり、 磁石の主磁場方向にコイルの渦巻きの軸が平行である場合でも、 また は、 両者に角度がある場合でも、 試料からの NMR信号を検知することがで きる。 また、 渦巻き型コイルは巻いたコイルの軸方向に感度を有するのに対 し、 8の字コイルは巻いたコイルと同じ平面内で感度を有する。 [0128] The small RF coil 1 1 4 is not limited to a flat spiral coil, and various types of RF coils can be used. For example, a planar 8-shaped coil (sometimes called a butterfly coil, Doub I e _D type coil, etc.) is also available. The figure 8 coil includes two spiral coils, and the NMR from the sample, even if the coil's spiral axis is parallel to the direction of the main magnetic field of the magnet, or when both are at an angle. The signal can be detected. The spiral coil has sensitivity in the axial direction of the wound coil, whereas the figure 8 coil has sensitivity in the same plane as the wound coil.
[0129] 図 7に戻り、 小型 RFコイル 1 1 4により印加される振動磁場 (励起用振 動磁場) は、 R F発振器 1 02、 変調器 1 04、 RF増幅器 1 06、 パルス 制御部 1 08、 スィッチ部 1 61、 および小型 RFコイル 1 1 4の連携によ り生成される。 また、 本実施形態において、 小型 RFコイル 1 1 4に励起用 振動磁場を発生させる R Fパルスを生成する R Fパルス生成部は、 R F発振 器 1 02、 変調器 1 04、 R F増幅器 1 06を含んで構成される。 R F発振 器 1 02から発振した励起用振動磁場は、 パルス制御部 1 08による制御に 基づいて変調器 1 04にて変調され、 パルス形状となる。 生成された RFパ ルスは RF増幅器 1 06により増幅された後、 小型 RFコイル 1 1 4へ送出 される。 [0129] Returning to FIG. 7, the oscillating magnetic field (exciting oscillating magnetic field) applied by the small RF coil 1 1 4 is the RF oscillator 1 02, the modulator 1 04, the RF amplifier 1 06, the pulse controller 1 08, It is generated by the linkage of the switch unit 1 61 and the small RF coil 1 1 4. In the present embodiment, the RF pulse generator that generates an RF pulse for generating an oscillating magnetic field for excitation in the small RF coil 1 14 includes an RF oscillator 10 2, a modulator 1 04, and an RF amplifier 1 06. Composed. The excitation oscillating magnetic field oscillated from the RF oscillator 102 is modulated by the modulator 104 based on the control by the pulse control unit 108 and becomes a pulse shape. The generated RF pulse is amplified by the RF amplifier 106 and then sent to the small RF coil 1 14.
[0130] なお、 基準の周波数は、 電流が流れていない状態での N MR信号の共鳴周 波数に合わせておく。 この共鳴周波数は、 RF発振器 1 02に記憶されてい る。 [0131 ] また、 パルス制御部 1 0 8は、 小型 R Fコイル 1 1 4が試料 1 1 5に印加 する励起用振動磁場が上述のパルスシーケンスに従つて実行するように、 上 記の連携を制御する。 [0130] The reference frequency is matched to the resonance frequency of the NMR signal when no current is flowing. This resonance frequency is stored in the RF oscillator 102. [0131] In addition, the pulse control unit 10 8 controls the above cooperation so that the excitation oscillating magnetic field applied to the sample 1 1 5 by the small RF coil 1 1 4 is executed according to the pulse sequence described above. To do.
[0132] パルス制御部 1 0 8は、 シーケンステーブル 1 2 7および計時部 1 2 8に 接続されており、 シーケンステーブル 1 2 7から取得したシーケンスデータ と計時部 1 2 8での計測時間とに基づいて、 高周波パルスを発生させる。 シ —ケンステ一ブル 1 2 7には、 電流を測定する際の高周波パルスのシ一ケン スデータが記憶されている。 シーケンステーブル 1 2 7には、 具体的には、 高周波パルスの発生時刻とその間隔が設定されたタイミングダイアグラムと 、 タイミングダイアグラムに基づいて印加する高周波パルスの強度が記憶さ れている。 [0132] The pulse control unit 1 0 8 is connected to the sequence table 1 2 7 and the time measuring unit 1 2 8, and the sequence data acquired from the sequence table 1 2 7 and the measurement time in the time measuring unit 1 2 8 are used. Based on this, a high frequency pulse is generated. The sequenceable 1 2 7 stores the sequence data of the high frequency pulse when measuring the current. Specifically, the sequence table 1 27 stores a timing diagram in which the generation time and interval of the high-frequency pulse are set, and the intensity of the high-frequency pulse to be applied based on the timing diagram.
[0133] 小型 R Fコイル 1 1 4は、 この R Fパルスを試料載置台 1 1 6上に載置さ れる試料 1 1 5の特定箇所に印加する。 そして、 印加された R Fパルスの N M R信号を小型 R Fコイル 1 1 4が取得する。 N M R信号は、 たとえば励起 用振動磁場に対応するエコー信号である。 エコー信号の周波数は、 電流が流 れて形成される磁場により、 上述した基準の周波数から変化する。 このため 、 周波数の変化量 (差分) と電流値との関係を予め取得しておくことにより 、 測定されたエコー信号の周波数の差分から、 試料 1 1 5を流れる電流が求 められる。 周波数の差分は、 ある時間間隔での位相の変化量を単位時間あた りに換算することにより求められる。 The small R F coil 1 1 4 applies this R F pulse to a specific location of the sample 1 1 5 placed on the sample mounting table 1 1 6. The small RF coil 1 1 4 acquires the NM R signal of the applied RF pulse. The NMR signal is, for example, an echo signal corresponding to an oscillating magnetic field for excitation. The frequency of the echo signal changes from the reference frequency described above due to the magnetic field formed by the flow of current. For this reason, the current flowing through the sample 115 is obtained from the difference in the frequency of the measured echo signal by acquiring the relationship between the frequency change (difference) and the current value in advance. The frequency difference can be obtained by converting the amount of phase change at a certain time interval per unit time.
[0134] 小型 R Fコイル 1 1 4が試料 1 1 5に印加する励起用振動磁場は、 たとえ ば、 [0134] The exciting oscillating magnetic field applied to the sample 1 1 5 by the small RF coil 1 1 4 is, for example,
( a ) 9 0 ° パルス、 および、 (a) 90 ° pulse, and
( b ) ( a ) のパルスの時間て経過後に印加される 1 8 0 ° パルス からなるパルスシーケンスとする。 (b) A pulse sequence consisting of 180 ° pulses applied after the elapse of the pulse time of (a).
[0135] なお、 小型 R Fコイル 1 1 4を用いる場合、 上記 (a ) および ( b ) の励 起パルス強度の調整が困難となる場合がある。 たとえば、 測定対象の領域、 つまり小型 R Fコイル 1 1 4で囲まれた領域のうち、 中央部と周縁部とで励 起のされかたに差異が生じてしまい、 全体を均一の励起角度となるように、 つまり (a) および (b) における励起磁場の強度比が一定となるように励 起することが困難となる場合がある。 (a) および (b) における励起角度 比がばらつくと、 適切なスピンエコー信号の取得ができず、 電流の正確な計 測が困難となる。 [0135] When the small RF coil 1 14 is used, it may be difficult to adjust the excitation pulse intensity of the above (a) and (b). For example, in the region to be measured, that is, the region surrounded by the small RF coil 1 1 4 It is difficult to excite so that the whole is at a uniform excitation angle, that is, the intensity ratio of the excitation magnetic field in (a) and (b) is constant. There is a case. If the excitation angle ratio in (a) and (b) varies, an appropriate spin echo signal cannot be obtained, and accurate measurement of the current becomes difficult.
[0136] そこで、 このような場合には、 パルス制御部 1 08力 上記パルスシ一ケ ンスに加え、 90° パルス (a) より時間てだけ前の時刻に、 1 80° パル スを印加するステップを加えた別のシーケンスを実行するようにする。 そし て、 これら 2つのシーケンスに対応する 1 80° パルス (b) の減衰曲線の 挙動を比較することにより、 90° パルス (a) および 1 80° パルス (b ) の励起パルス強度が正確であるか否かを判別できる。 この結果、 装置の異 常等により励起パルス強度がずれた場合でも、 測定を行う前の段階で異常を 検知でき、 測定値をより正確なものとすることができる。 また、 (a) 90 ° パルスが第 1位相にあり、 (b) 1 80° パルスが、 第 1位相と 90° ず れた第 2位相にある構成とすることもできる。 [0136] Therefore, in such a case, the step of applying the 1 80 ° pulse at a time just before the 90 ° pulse (a) in addition to the above pulse sequence in the case of the pulse control unit 1 08 force To execute another sequence with And by comparing the behavior of the decay curves of the 1 80 ° pulse (b) corresponding to these two sequences, the excitation pulse intensities of the 90 ° pulse (a) and 1 80 ° pulse (b) are accurate. Or not. As a result, even if the excitation pulse intensity deviates due to an abnormality in the device, an abnormality can be detected before the measurement is performed, and the measured value can be made more accurate. Alternatively, (a) a 90 ° pulse is in the first phase, and (b) 1 80 ° pulse is in a second phase that is 90 ° away from the first phase.
[0137] 次に、 N MR信号の検出について説明する。 [0137] Next, detection of the NMR signal will be described.
N MR信号検出部は、 小型 RFコイル 1 1 4で取得した N MR信号を検出 し、 この NMR信号を演算部 1 30に送出する。 NMR信号検出部は、 プリ アンプ 1 1 2、 検波器 301および A/D変換器 1 1 8を含んで構成される 。 検出された N MR信号は、 プリアンプ 1 1 2により増幅された後、 検波器 301へ送出される。 The N MR signal detection unit detects the N MR signal acquired by the small RF coil 1 14 and sends this NMR signal to the calculation unit 130. The NMR signal detector includes a preamplifier 1 1 2, a detector 301 and an A / D converter 1 1 8. The detected NMR signal is amplified by the preamplifier 1 1 2 and then sent to the detector 301.
[0138] 検波器 301は、 位相敏感検波法により、 N M R信号の実部および虚部を 検波するよう構成されている。 検波器 301において取得した N MR波形が 実部と虚部に正確に分離するために、 復調の元となる基本波の s i n波と c o s波の位相差が正確に 90度になるように、 厳密に調整することが好まし し、。 二つの基本波が厳密に 90度の位相差となるように調整することにより 、 後述する実部と虚部の t a n-1を用いた位相差の算出をさらに正確に行うこ とができる。 なお、 復調の元となる基準波は、 たとえば図 41を参照して後 述する 90° ハイブリッドによって作られる。 [0138] The detector 301 is configured to detect the real part and the imaginary part of the NMR signal by the phase sensitive detection method. In order to accurately separate the N MR waveform acquired by the detector 301 into the real part and the imaginary part, the phase difference between the sine wave and the cos wave of the fundamental wave that is the source of demodulation is precisely 90 degrees. It is preferable to adjust to. By adjusting the two fundamental waves so that the phase difference is exactly 90 degrees, the phase difference can be calculated more accurately using the real part and imaginary part tan- 1 described later. Note that the reference wave that is the source of demodulation is Made by the 90 ° hybrid described.
[0139] 検波器 30 1は、 検波した実部と虚部を A/D変換器 1 1 8へ送出する。 [0139] The detector 30 1 sends the detected real part and imaginary part to the A / D converter 1 1 8.
A/D変換器 1 1 8は N MR信号を A/D変換した後、 データ受付部 1 3 1 に送出する。 電流算出部 303を備える演算部 1 30は、 データ受付部 1 3 1に送出されたデータを取得する。 The A / D converter 1 1 8 converts the N MR signal from A / D and sends it to the data reception unit 1 3 1. The calculation unit 130 including the current calculation unit 303 acquires the data sent to the data reception unit 1 3 1.
[0140] 以上、 励起用振動磁場の印加および N MR信号の検出について述べたが、 これらは、 小型コイルを含む L C回路により実現することができる。 [0140] The application of the excitation oscillating magnetic field and the detection of the NMR signal have been described above, but these can be realized by an LC circuit including a small coil.
図 8は、 このような L C回路の一例を示す図である。 図 8においては、 共 振回路のコイル部 (インダクタンス部) は、 直径 1. 4 mmの小型 R Fコィ ルとしている。 核磁気共鳴 (NMR) 法においては、 磁場中に置かれた原子 核のスピン共鳴現象により核磁化の運動を N M R信号として検出することで 原子数密度とスピン緩和時定数を計測することができる。 1 T e s I aの磁 場中でのスピン共鳴周波数は約 43 MH zであり、 その周波数帯を高感度に 選択的に検出するために、 図 8に示すような L C共振回路が用いられる。 FIG. 8 is a diagram showing an example of such an LC circuit. In Fig. 8, the coil part (inductance part) of the resonant circuit is a small RF coil with a diameter of 1.4 mm. In the nuclear magnetic resonance (NMR) method, the number density and spin relaxation time constant can be measured by detecting the movement of nuclear magnetization as an N MR signal by the spin resonance phenomenon of the nucleus placed in a magnetic field. The spin resonance frequency in the magnetic field of 1 Tes Ia is about 43 MHz, and an LC resonance circuit as shown in Fig. 8 is used to selectively detect the frequency band with high sensitivity.
[0141] 図 7に戻り、 スィッチ部 1 6 1は、 小型 R Fコイル 1 1 4、 R F増幅器 1 06およびプリアンプ 1 1 2を接続する分岐部に設けられており、 小型 R Fコイル 1 1 4と R F信号生成部 (R F増幅器 1 06) とが接続され た第 1状態、 および、 [0141] Returning to FIG. 7, the switch section 1 6 1 is provided at the branch section connecting the small RF coil 1 1 4, the RF amplifier 1 06 and the preamplifier 1 1 2, and the small RF coil 1 1 4 and RF The first state where the signal generator (RF amplifier 106) is connected, and
小型 R Fコイル 1 1 4と NMR信号検出部 (検波器 30 1 ) とが接続された 第 2状態を切り替える機能を有する。 つまり、 スィッチ部 1 6 1は、 「送受 信切り替えスィッチ」 の役目を果たす。 この役目は、 R F p ow e r - a m pで増幅された励起パルスを小型 R Fコイル 1 1 4に伝送する際には、 受 信系のプリアンプ 1 1 2を切り離して大電圧から保護し、 励起後に N MR信 号を受信する際には、 R F増幅器 1 06から漏れてくる増幅用大型トランジ スタが発するノイズを受信系のプリアンプ 1 1 2に伝送しないように遮断す ることである。 小型 R Fコイル 1 1 4を用いて計測する場合には、 微弱な信 号を取り扱うため、 以下の理由でスィッチ部 1 6 1が必要となる。 一方、 小 型 R Fコイル 1 1 4を用いない大型計測システムでは、 「クロスダイオード 」 を用いれば充分に対処ができる。 なお、 クロスダイオードは、 所定値以上 の電圧が印加された際にオン状態となり、 所定値未満の場合にはオフ状態と なるダイォ一ドである。 It has the function of switching the second state in which the small RF coil 1 1 4 and the NMR signal detector (detector 30 1) are connected. In other words, the switch section 1 6 1 serves as a “transmission / reception switching switch”. The role of this is to transmit the excitation pulse amplified by RF p ower-amp to the small RF coil 1 1 4, disconnecting the receiving preamplifier 1 1 2 and protecting it from a large voltage, and N after excitation When receiving the MR signal, the noise generated by the large amplification transistor leaking from the RF amplifier 106 is blocked so as not to be transmitted to the receiving preamplifier 1 1 2. When measuring using a small RF coil 1 1 4, the switch section 1 6 1 is required for the following reasons in order to handle weak signals. On the other hand, in large measurement systems that do not use small RF coils 1 1 4 ”Can be dealt with sufficiently. The cross diode is a diode that is turned on when a voltage equal to or higher than a predetermined value is applied, and is turned off when the voltage is lower than the predetermined value.
[0142] 小型 R Fコイル 1 1 4を用いる場合に特に 「送受信切り替えスィッチ」 す なわちスィッチ部 1 6 1が必要な理由は以下の通りである。 [0142] The reason why the “transmission / reception switching switch”, that is, the switch section 1 6 1 is particularly necessary when the small RF coil 1 1 4 is used is as follows.
( i ) 本計測システムの小型コイルで検出できる試料体積は、 大型コイルに 比べて小さくなる。 この検出可能な試料体積は、 おおよそ、 (コイルの内側 面積 Xコィル半径の深さ) である。 体積に比例して減少する微弱な N M R信 号を、 低ノイズ、 高感度で計測するためには、 送信系において、 R F増幅器 1 0 6の増幅用大型トランジスタから漏れてくるノイズを遮断することが必 要となる。 また、 受信系では高感度のプリアンプ 1 1 2を使用する必要があ る。 高感度のプリアンプ 1 1 2の使用に当たっては、 送信時に小型コイルに 送られる大電圧の励起パルスからプリアンプ 1 1 2を保護できるように、 プ リアンプ 1 1 2を切断しなければならない。 (i) The sample volume that can be detected by the small coil of this measurement system is smaller than that of the large coil. This detectable sample volume is approximately (coil inner area x coil radius depth). In order to measure weak NMR signals that decrease in proportion to volume with low noise and high sensitivity, it is necessary to block noise leaking from the large amplification transistor of the RF amplifier 10 6 in the transmission system. Necessary. In the receiving system, it is necessary to use a highly sensitive preamplifier 1 1 2. When using the high sensitivity preamplifier 1 1 2, preamplifier 1 1 2 must be disconnected so that preamplifier 1 1 2 can be protected from the high voltage excitation pulses sent to the small coil during transmission.
( i i ) 試料体積内の核磁化を励起する際に、 適切な励起パルスパワーで、 具体的には、 9 0度パルスと 1 8 0度パルスの強度が 1対 2の関係、 または 照射エネルギーが 1対 4、 またはパルス印加時間が 1対 2の関係になるよう に、 核磁化を励起する必要がある。 励起パルスパワーの調整を適切に行うこ とができないと、 目標としているスピンエコー法のパルス系列とならず、 そ の結果、 適切なスピンエコー信号の取得ができないために、 易動度の計測の 信頼性が低下する。 この現象は、 従来のクロスダイオードを用いて、 小型コ ィルの送受信切り替えを行う際には顕著に現れる。 大型コイルでは、 励起パ ルス強度が非常に大きく、 クロスダイォ一ドでの損失が無視できるほど小さ いとみなせるが、 小型コイルの場合には、 励起パルス強度が大型コイルのそ れよりも小さいために、 クロスダイオードでの損失が無視できない。 このた め、 適切な励起パルス強度とするためには損失が極力少ない 「送受信切り替 えスィッチ」 が必要となる。 (ii) When exciting the nuclear magnetization in the sample volume, with the appropriate excitation pulse power, specifically, the relationship between the intensity of the 90 degree pulse and the 180 degree pulse is 1 to 2, or the irradiation energy is It is necessary to excite nuclear magnetization so that the relationship between 1 to 4 or pulse application time is 1 to 2. If the excitation pulse power cannot be adjusted properly, the target pulse sequence of the spin echo method will not be obtained, and as a result, an appropriate spin echo signal cannot be acquired. Reliability decreases. This phenomenon is prominent when switching between transmission and reception of a small coil using a conventional cross diode. In the case of a large coil, the excitation pulse intensity is very large and the loss at the cross diode can be considered to be negligibly small, but in the case of a small coil, the excitation pulse intensity is smaller than that of the large coil. The loss at the cross diode cannot be ignored. For this reason, in order to obtain an appropriate excitation pulse intensity, a “transmission / reception switching switch” with minimal loss is required.
[0143] 上記分岐部にスィッチ部 1 6 1を設けることにより、 小型 R Fコイル 1 1 4から試料 1 1 5に印加される励起用振動磁場信号の損失を低減し、 この結 果、 90° パルスおよび 1 80° パルスのパルス角を正確に制御することが 可能となる。 パルス角の正確な制御は、 スピンエコー法における補償効果を 確実に得る上で重要な技術的課題であり、 本実施形態では、 かかる課題をス イッチ部 1 61の配設により解決している。 [0143] By providing a switch section 1 6 1 at the above branch section, a small RF coil 1 1 The loss of the oscillating magnetic field signal applied from 4 to the sample 1 15 is reduced, and as a result, the pulse angles of the 90 ° pulse and 1 80 ° pulse can be accurately controlled. Accurate control of the pulse angle is an important technical problem in order to reliably obtain the compensation effect in the spin echo method. In this embodiment, this problem is solved by the arrangement of the switch unit 161.
[0144] また、 局所計測のための R F検出コイルは微小化し、 NMR受信時の低ノ ィズ化が、 計測の確からしさを確実なものとするためには重要な因子となる 。 NMR信号を受信する際に、 プリアンプ 1 1 2に入り込むノイズには、 R F波の送信系が主にあり、 励起用パルスを増幅する R F増幅器 1 06からの 「RF波の漏れ」 や 「大電力増幅器が発するノイズ」 がある。 N MR信号の 受信時には、 送信側から漏れてくる励起波をスィッチ部 1 61で確実に遮断 し、 低ノイズで N MR信号を受信する必要がある。 本実施形態では、 かかる 課題についても、 スィッチ部 1 61の配設により解決している。 [0144] In addition, the RF detection coil for local measurement is miniaturized, and low noise during NMR reception is an important factor for ensuring the accuracy of measurement. When receiving NMR signals, the noise that enters the preamplifier 1 1 2 mainly includes an RF wave transmission system. RF leakage from the RF amplifier 1 06 that amplifies the excitation pulse and high power There is noise generated by the amplifier. When receiving the N MR signal, it is necessary to cut off the excitation wave leaking from the transmitter side with the switch unit 161 and receive the N MR signal with low noise. In the present embodiment, such a problem is also solved by the arrangement of the switch portion 161.
[0145] スィッチ部 1 61は、 種々の構成を採用することができる。 図 9はスイツ チ部 1 61の構成の一例を示す回路図である。 [0145] The switch unit 1 61 can employ various configurations. FIG. 9 is a circuit diagram showing an example of the configuration of the switch unit 1601.
[0146] 以上、 試料周辺の装置構成について説明した。 つづいて、 N MR信号の処 理ブロックについて説明する。 [0146] The apparatus configuration around the sample has been described above. Next, the N MR signal processing block will be explained.
図 7に戻り、 検波器 301で検波された N MR信号 (エコー信号) の実部 および虚部は、 データ受付部 1 31により取得されて、 演算部 1 30に送出 される。 演算部 1 30は、 電流算出部 303を有する。 電流算出部 303は 、 検波器 301で検波されたエコー信号の実部および虚部を取得し、 これら を用いてエコー信号と励起用振動磁場との位相差を算出し、 この位相差から 、 エコー信号の周波数と励起用振動磁場の周波数との差分 (周波数シフト量 ) Δωを算出する (図 1の S 305) 。 Returning to FIG. 7, the real part and the imaginary part of the N MR signal (echo signal) detected by the detector 301 are acquired by the data reception unit 1 31 and sent to the calculation unit 1 30. The calculation unit 130 has a current calculation unit 303. The current calculation unit 303 acquires the real part and the imaginary part of the echo signal detected by the detector 301, calculates the phase difference between the echo signal and the excitation oscillating magnetic field using these, and from this phase difference, the echo is calculated. The difference between the frequency of the signal and the frequency of the oscillating magnetic field for excitation (frequency shift amount) Δω is calculated (S 305 in FIG. 1).
[0147] 具体的には、 検波された実部と虚部より t a n-1 (Re/ I mg) を算出す る。 この値は、 NMR信号の位相差 ΔΦ [ r a d] に相当する。 ΔΦは、 図 1 0に示すように、 時間的に変化しない周波数で進行する基準波 (位相 Φ0) と、 計測した NMR信号との位相の差である。 ここで、 基準の周波数は、 電 流が流れていない状態での N M R信号の共鳴周波数に予め設定しておく。 [0147] Specifically, tan- 1 (Re / I mg) is calculated from the detected real part and imaginary part. This value corresponds to the phase difference ΔΦ [rad] of the NMR signal. ΔΦ is the phase difference between the measured NMR signal and the reference wave (phase Φ 0 ) that travels at a frequency that does not change with time, as shown in Fig. 10. Here, the reference frequency is The resonance frequency of the NMR signal in a state where no flow is flowing is set in advance.
[0148] 電流算出部 303は、 得られた位相差 ΔΦの単位時間あたりの変化量から 、 Δωを得る。 そして、 Δωと電流との関係を参照することにより、 測定箇 所における試料 1 1 5の電流の値を算出する (図 1の S 307) 。 なお、 電 流算出部 303は、 得られた電流値を電流が流れている面積で除して、 電流 密度を算出してもよい。 The current calculation unit 303 obtains Δω from the amount of change per unit time of the obtained phase difference ΔΦ. Then, by referring to the relationship between Δω and the current, the value of the current of the sample 115 at the measurement location is calculated (S 307 in FIG. 1). In addition, the current calculation unit 303 may calculate the current density by dividing the obtained current value by the area where the current flows.
[0149] ここで、 測定装置 300は、 試料 1 1 5の種類毎に、 電流と周波数の差分 との相関関係を示す情報を保有する記憶部 305を備えている。 記憶部 30 5には、 たとえば、 実験的に得られた周波数の差分 Δωと電流との対応付け のデータが格納されている。 これは、 さらに具体的には周波数の差分 Δωと 電流との検量線データである。 演算部 1 30中の電流算出部 303は、 記憶 部 305から測定対象の試料に対応する検量線データを取得し、 これに基づ いて周波数の差分 Δωに対応する電流を算出する。 Here, the measuring apparatus 300 includes a storage unit 305 that holds information indicating the correlation between the current and the frequency difference for each type of the sample 1 15. The storage unit 305 stores, for example, data on correlation between the frequency difference Δω and current obtained experimentally. More specifically, this is calibration curve data of the frequency difference Δω and the current. The current calculation unit 303 in the calculation unit 130 acquires calibration curve data corresponding to the sample to be measured from the storage unit 305, and calculates a current corresponding to the frequency difference Δω based on the calibration curve data.
[0150] 電流算出部 303にて算出された電流は、 出力部 1 35によりユーザに提 示される (図 1の S 309) 。 提示の形式は様々な態様が可能であり、 ディ スプレイ上の表示、 プリンタ出力、 ファイル出力等、 特に制限はない。 [0150] The current calculated by the current calculation unit 303 is presented to the user by the output unit 135 (S309 in FIG. 1). The presentation format can take various forms, and there are no particular restrictions on display, printer output, file output, etc.
[0151] 図 41は、 図 7に示した測定装置 300における R F発振器 1 02、 変調 器 1 04、 R F増幅器 1 06、 パルス制御部 1 08、 スィツチ部 1 61、 小 型 R Fコイル 1 1 4、 プリアンプ 1 1 2、 検波器 301および A/D変換器 1 1 8の連携についてさらに詳細な構成の例を示す図である。 なお、 この構 成は、 後述する図 1 3および図 1 6に示す測定装置にも適用できる。 [0151] Fig. 41 shows the RF oscillator 10 02, modulator 10 04, RF amplifier 106, pulse control unit 10 08, switch unit 161, small RF coil 1 1 4, in the measuring apparatus 300 shown in Fig. 7. FIG. 3 is a diagram showing an example of a more detailed configuration regarding the cooperation of a preamplifier 1 1 2, a detector 301 and an A / D converter 1 1 8. This configuration can also be applied to the measuring apparatus shown in FIGS. 13 and 16 described later.
[0152] 図 41において、 変調器 1 04は、 ミキサー 1 77、 ミキサー 1 79およ び合成器 1 81を含んで構成される。 検波器 301は、 ミキサー 1 83、 ミ キサ _1 85および分配器 1 87を含んで構成される。 A/D変換器 1 1 8 は、 第 _A/D変換器 1 89および第二 A/D変換器 1 91を備える。 In FIG. 41, the modulator 104 includes a mixer 1 77, a mixer 1 79, and a synthesizer 1 81. The detector 301 includes a mixer 1 83, a mixer — 1 85, and a distributor 1 87. The A / D converter 1 1 8 includes a first _A / D converter 1 189 and a second A / D converter 191.
[0153] また、 図 41においては、 R F発振器 1 02と変調器 1 04との間に、 9 0° ハイブリツド 1 7 1および分配器 1 73がさらにこの順に配置され、 9 0° ハイブリツド 1 7 1 と検波器 301 との間にさらに分配器 1 75が配置 されている。 In FIG. 41, a 90 ° hybrid 1 7 1 and a distributor 1 73 are further arranged in this order between the RF oscillator 1 02 and the modulator 1 04, and the 9 0 ° hybrid 1 7 1 Distributor 1 75 is placed between the detector and detector 301 Has been.
[0154] この構成において、 R F発振器 1 02から出力される波形を 90° ハイブ リツド 1 7 1によって、 同一周波数だが 90° だけ位相が異なる二つの波形 とする。 この二つの基準波形を元にして、 NMR信号が検波され、 R e a I と I ma g i n a r y成分とな 。 [0154] In this configuration, the waveform output from RF oscillator 102 is changed to two waveforms of the same frequency but different in phase by 90 ° by 90 ° hybrid 1 71. Based on these two reference waveforms, the NMR signal is detected and becomes R e a I and I m i g n a r y components.
[0155] ここで、 90° ハイブリッド 1 7 1から出力されている二つの波形は、 具 体的には s i n波、 c o s波であり、 二つの波形が精度良く直交しているこ とが位相を求める上で重要な点である。 [0155] Here, the two waveforms output from the 90 ° hybrid 1 7 1 are specifically a sine wave and a cos wave, and the two waveforms are accurately orthogonal to each other. It is an important point in seeking.
[0156] なお、 図 4 1において、 A/D変換器 1 1 8での信号の名前が R e a I お よび I ma g i n a r yと付けられているが、 これは便宜上の表現であり、 I ma g i n a r yと R e a l と逆になつていても構わない。 逆になつた場 合は、 a r c t a nで求められる位相が ± 90 ° だけずれるだけであり、 時 間と共に増減する 「位相の変化量」 を求める際には問題とはならない。 [0156] In Fig. 41, the signal name of A / D converter 1 1 8 is named Rea I and I ma ginary, but this is a convenient expression, I ma ginary And it may be the opposite of Real. In the opposite case, the phase obtained by a r c t a n is only shifted by ± 90 °, and there is no problem in obtaining the “phase change” that increases or decreases with time.
[0157] また、 第四および第五の実施形態で後述する水分量や易動性を求める際に 必要となる 「N MR信号の強度」 は、 取得された R e a I と I ma g i n a r yの成分を基に、 [0157] In addition, the "N MR signal strength" required when determining the water content and mobility described later in the fourth and fifth embodiments is the component of the acquired Rea I and I ma ginary. Based on
(R e a I " 2+ I ma g i n a r y " 2) Λ— 1 / 2 (R ea I "2+ I ma ginary" 2) Λ — 1/2
によってその強度に変換すればよい。 すなわち、 この演算は図 1 0の円の半 径を求めていることに相当する。 Can be converted to that intensity. In other words, this calculation corresponds to finding the radius of the circle in FIG.
[0158] 次に、 本実施形態の作用効果を説明する。 [0158] Next, the function and effect of this embodiment will be described.
本実施形態のように小型表面コイルを用いると、 計測領域が小さいために 、 計測領域内での静磁場均一性が高くなり、 エコー信号が非常に長い時間に 渡って観測できる。 これにより、 高い周波数分解能で周波数シフト量を計測 することができる。 When a small surface coil is used as in this embodiment, since the measurement area is small, the static magnetic field uniformity in the measurement area is high, and the echo signal can be observed over a very long time. As a result, the frequency shift amount can be measured with high frequency resolution.
[0159] また、 スピンエコー法を用いて N MR信号の位相を収束させることにより 、 エコー信号の位相を収束させて小型 R Fコイル 1 1 4で取得することがで きる。 これにより、 エコー信号の実部と虚部の検波およびこれらを用いた位 相差 ΔΦの算出をさらに正確に行うことができる。 なお、 本実施形態および 本明細書の他の実施形態における周波数シフト量の測定には、 スピンエコー 法を用いなくてもよく、 周波数シフト量は、 単純な F I D (Free I nduct i on Decay) から算出することもできる。 スピンエコー法の方が、 F I Dよりも計 測領域が小さく制限されるので、 F I Dよりも静磁場の均一性をさらに高め ることができる。 [0159] Further, by converging the phase of the NMR signal using the spin echo method, the phase of the echo signal can be converged and acquired by the small RF coil 114. As a result, the real part and the imaginary part of the echo signal can be detected and the phase difference ΔΦ using them can be calculated more accurately. Note that this embodiment and The spin-echo method need not be used for the measurement of the frequency shift amount in other embodiments of the present specification, and the frequency shift amount can also be calculated from a simple FID (Free Induction Decay). The spin echo method has a smaller measurement area than the FID, so that the uniformity of the static magnetic field can be further improved compared to the FID.
[0160] また、 電流の計測の際に、 小型 R Fコイル 1 1 4に代えて大きなソレノィ ドコィルで試料全体を計測することを試みると、 静磁場の均一性が悪くなり 、 F I Dは短く、 エコーは短く、 鋭いピークの形となる。 このため、 大きな ソレノイ ドコイルで行うのには、 磁場の均一性から困難が伴う。 これに対し 、 本実施形態では小型 R Fコイル 1 1 4を用いるため、 充分な磁場の均一性 が得られる。 [0160] Also, when trying to measure the whole sample with a large solenoid coil instead of the small RF coil 1 1 4 when measuring the current, the uniformity of the static magnetic field deteriorates, the FID is short, and the echo is The shape is short and sharp. For this reason, it is difficult to perform with a large solenoid coil due to the uniformity of the magnetic field. On the other hand, in the present embodiment, since the small RF coil 114 is used, sufficient magnetic field uniformity can be obtained.
[0161 ] また、 化学シフト法において、 大きなソレノィ ドコイルを用い、 勾配磁場 を印加して特定の局所のみを励起して、 N M R信号の周波数シフト量を計測 することも可能ではある。 これに対し、 小型表面コイルでは、 計測領域がコ ィルの形状によって制限されているので、 局所励起のために勾配磁場を用い る必要はない。 このため、 装置構成を簡略化できる。 [0161] In the chemical shift method, it is also possible to measure the frequency shift amount of the NMR signal using a large solenoid coil and applying a gradient magnetic field to excite only a specific local area. In contrast, in small surface coils, the measurement area is limited by the shape of the coil, so there is no need to use a gradient magnetic field for local excitation. For this reason, the apparatus configuration can be simplified.
[01 62] また、 非特許文献 2を参照して前述したホール素子を用いる場合、 センサ の抵抗値と温度の二つの物理量を測定する必要があるのに対し、 本実施形態 の方法では、 核磁気共鳴信号から得られる周波数を取得すればよいため、 一 つの物理量の計測で済む点で、 簡便な方法である。 In addition, when using the Hall element described above with reference to Non-Patent Document 2, it is necessary to measure two physical quantities of the resistance value and temperature of the sensor, whereas in the method of this embodiment, Since it is only necessary to obtain the frequency obtained from the magnetic resonance signal, this is a simple method because only one physical quantity needs to be measured.
[0163] また、 小型表面コイルを用いた N M R計測では、 棒状磁石を用いて静磁場 を作ってもよく、 センサ部が小さく、 装置内に容易に設置できる電流計測プ ローブとして用いることもできる。 また、 第四および第五の実施形態で後述 するように、 高分子膜等の試料内の 「含水量」 「水分子の易動度」 について も、 ほぼ同時に、 同じ場所で局所計測することができる。 [0163] In NMR measurement using a small surface coil, a static magnetic field may be created using a rod-shaped magnet, and the sensor unit is small and can be used as a current measurement probe that can be easily installed in the apparatus. In addition, as will be described later in the fourth and fifth embodiments, “water content” and “mobility of water molecules” in a sample such as a polymer membrane can be measured locally at the same place almost at the same time. it can.
[01 64] 本実施形態および以降の実施形態は、 たとえば、 燃料電池の固体電解質膜 の局所的な電流の測定に適用することができる。 [0164] This embodiment and the following embodiments can be applied to, for example, local current measurement of a solid electrolyte membrane of a fuel cell.
なお、 以上の実施形態の方法で測定される電流 jが燃料電池が発電してい る状態で流れる電流であっても、 直流電圧を印加して水電解運転している場 合の電流であっても、 磁場を形成させる原理は同じである。 よって、 共鳴周 波数の増減 Δ ωを計測することで、 燃料電池の発電時と水電解運転時の空間 的な電流を把握することができる。 Note that the current j measured by the method of the above embodiment is generated by the fuel cell. The principle of forming a magnetic field is the same regardless of whether the current flows in a state where the electric field is flowing or when the direct current is applied to perform water electrolysis. Therefore, by measuring the increase / decrease Δω of the resonance frequency, the spatial current during power generation and water electrolysis operation of the fuel cell can be grasped.
[01 65] 固体高分子電解質膜を用いた燃料電池では、 ガスの供給状態や触媒の劣化 、 高分子電解質膜のイオン伝導性によって発電状態が変化する。 水素利用率 を高くした場合には、 ガス供給口近くでは水素濃度が高く、 その場所での発 電電流が大きいが、 一方、 ガス出口近くでは水素濃度が低く、 発電電流も小 さくなる。 これは 「物質輸送損失」 が大きくなるためである。 [01 65] In a fuel cell using a solid polymer electrolyte membrane, the power generation state changes depending on the gas supply state, catalyst deterioration, and ionic conductivity of the polymer electrolyte membrane. When the hydrogen utilization rate is increased, the hydrogen concentration is high near the gas supply port and the generated current at that location is large. On the other hand, the hydrogen concentration is low near the gas outlet and the generated current is also small. This is because “material transport loss” increases.
[01 66] また、 燃料電池の触媒が劣化すれば、 「活性化損失」 が大きくなり、 発電 電流が低下する。 P t触媒は燃料電池の起動、 停止などの過渡変動時によつ て劣化し、 それには空間的な不均一性を生ずる。 また、 高分子電解質膜の含 水量に依存してイオン伝導性は増減し、 「オーム損失」 が変化して、 発電電 流が増減する。 この損失は含水量の空間的な分布に依存するために、 電流も 一枚の高分子電解質膜の中であっても空間的な分布を持つことになる。 [01 66] Moreover, if the catalyst of the fuel cell deteriorates, the “activation loss” increases and the generated current decreases. The Pt catalyst deteriorates due to transient fluctuations such as starting and stopping of the fuel cell, resulting in spatial non-uniformity. Also, depending on the water content of the polymer electrolyte membrane, the ionic conductivity increases and decreases, the “ohm loss” changes, and the power generation current increases and decreases. Since this loss depends on the spatial distribution of water content, the current also has a spatial distribution even within a single polymer electrolyte membrane.
[01 67] 燃料電池発電では、 上記の 「物質輸送損失」 、 「活性化損失」 、 「オーム 損失」 が重なって最終的に出力される電流と電圧が決まり、 電池の性能とな る。 燃料電池の出力端子から出力される電流は電流計によって容易に計測で きる力 その電流値は、 平面状の 「M E A (Membrane E l ectrode Assemb l y) の総和」 であり、 空間的な分布を持つ電流を平面全体で積分した値である。 電池性能を向上させる際に必要な電池内部の情報は、 場所ごとに異なってし まう発電状態であり、 場所ごとに異なる電流である。 さらに、 場所ごとに含 水量や水分子の移動性や、 ガス濃度をも計測できれば、 電池内部で生じてい る現象をより詳細に把握することができる。 [01 67] In fuel cell power generation, the above-mentioned “mass transport loss”, “activation loss”, and “ohmic loss” overlap to determine the final output current and voltage, which is the battery performance. The current output from the output terminal of the fuel cell can be easily measured with an ammeter. The current value is a flat "MEA (Membrane Electro Assembly)" and has a spatial distribution. It is the value obtained by integrating the current over the entire plane. The information inside the battery that is necessary to improve battery performance is the power generation state that varies from place to place, and the current that varies from place to place. Furthermore, if water content, water molecule mobility, and gas concentration can be measured for each location, the phenomenon occurring inside the battery can be understood in more detail.
[01 68] 電流の M E A面内での空間分布が計測できれば、 場所ごとの発電状態が分 かり、 空間的に 「物質輸送損失」 、 「活性化損失」 、 「オーム損失」 がどの ような状態にあるのか、 具体的には、 ガス供給濃度や水素利用率、 ガス供給 圧力、 加湿量、 膜の含水量を変えたときにどの場所での発電状態が増減して 、 その結果としての電池性能が増減したのかを詳細に調べることができる。 これによつて、 電池性能を向上させるための技術的指針を得ることができる[01 68] If the spatial distribution of current in the MEA plane can be measured, the state of power generation at each location can be determined, and what is the state of “material transport loss”, “activation loss”, and “ohm loss” spatially? Specifically, when the gas supply concentration, hydrogen utilization rate, gas supply pressure, humidification amount, and moisture content of the membrane are changed, the power generation state at which location changes. It is possible to examine in detail whether the resulting battery performance has increased or decreased. This can provide technical guidelines for improving battery performance.
。 電流の M E A面内での空間分布を計測することは、 高性能の燃料電池を開 発する上で必要とされている。 . Measuring the spatial distribution of current in the MEA plane is necessary for developing high-performance fuel cells.
[01 69] 本実施形態によれば、 共鳴周波数の増減 Δ ωを計測することで、 燃料電池 の空間的な電流を把握することができる。 According to the present embodiment, the spatial current of the fuel cell can be grasped by measuring the increase / decrease Δω of the resonance frequency.
[0170] なお、 測定装置 3 0 0においては、 電流の測定に加えて、 C P M G法を用 いて Τ 2緩和時定数を得ることができ、 これにより試料中の水分量を算出でき る。 [0170] Note that in the measuring apparatus 300, in addition to the current measurement, the CPMG method can be used to obtain the 2 relaxation time constant, whereby the amount of water in the sample can be calculated.
また、 測定装置 3 0 0に、 勾配磁場コイルをさらに設け、 試料に適宜勾配 磁場を印加することにより、 勾配磁場を印加した P G S Ε法を用いることで 対象分子の易動度を計測することができる。 In addition, the measuring device 300 can be further provided with a gradient magnetic field coil, and by appropriately applying a gradient magnetic field to the sample, the mobility of the target molecule can be measured by using the PGS method with the gradient magnetic field applied. it can.
これらの測定については、 後述する第四および第五の実施形態においてそ れぞれ説明する。 These measurements will be described in the fourth and fifth embodiments described later.
[01 71 ] (第二の実施形態) [01 71] (Second Embodiment)
第一の実施形態に記載の測定装置 3 0 0は、 複数の小型 R Fコイル 1 1 4 を有していてもよい。 本実施形態では、 複数の小型 R Fコイル 1 1 4は、 試 料 1 1 5の複数箇所に対し、 励起用振動磁場を印加するとともに、 核磁気共 鳴信号を取得する。 また、 電流算出部 3 0 3は、 試料 1 1 5の複数箇所にお ける電流を算出するように構成される。 The measuring apparatus 300 described in the first embodiment may include a plurality of small RF coils 1 1 4. In the present embodiment, the plurality of small RF coils 1 1 and 4 apply an excitation oscillating magnetic field to a plurality of locations of the sample 1 1 5 and acquire a nuclear magnetic resonance signal. The current calculation unit 303 is configured to calculate currents at a plurality of locations of the sample 1 15.
図 1 1は、 複数の小型 R Fコイル 1 1 4の配置例を示す斜視図である。 FIG. 11 is a perspective view showing an arrangement example of a plurality of small RF coils 1 14.
[0172] 装置内に複数の小型 R Fコイル 1 1 4を設けることにより、 試料 1 1 5中 の電流分布を測定することが可能となる。 この場合、 試料 1 1 5の表面に沿 つて 2次元的に配置すれば、 試料表面における 2次元の電流分布を求めるこ とができる。 また、 試料 1 1 5中に 3次元的に配置すれば、 試料中における 3次元の電流分布を求めることができる。 [0172] By providing a plurality of small RF coils 1 1 4 in the apparatus, the current distribution in the sample 1 1 5 can be measured. In this case, if the two-dimensional arrangement is performed along the surface of the sample 1 15, the two-dimensional current distribution on the sample surface can be obtained. In addition, if it is arranged three-dimensionally in sample 1 15, the three-dimensional current distribution in the sample can be obtained.
[0173] たとえば、 演算部 1 3 0力 電流算出部 3 0 3における電流の算出結果に 基づき、 試料 1 1 5中の電流分布を算出する電流分布算出部 (不図示) を備 えていてもよい。 これにより、 試料の複数箇所に対して、 励起用振動磁場の 印加およびこれに対応する N M R信号の取得を行うことができる。 電流分布 算出部 (不図示) は、 試料中の複数箇所における電流に基づき、 試料中の電 流分布を算出する。 出力部 1 3 5は、 この分布を出力する。 [0173] For example, a current distribution calculation unit (not shown) that calculates the current distribution in the sample 1 15 based on the current calculation result in the calculation unit 1 3 0 force current calculation unit 3 0 3 is provided. It may be. Thereby, it is possible to apply the excitation oscillating magnetic field to a plurality of locations of the sample and acquire the corresponding NMR signals. The current distribution calculation unit (not shown) calculates the current distribution in the sample based on the current at multiple points in the sample. The output unit 1 3 5 outputs this distribution.
[0174] また、 本実施形態において、 出力部 1 3 5を図1 2の構成としてもよい。 In this embodiment, the output unit 1 3 5 may have the configuration shown in FIG.
図 1 2において、 出力部 1 3 5は、 電流算出部 3 0 3で算出した、 複数の小 型 R Fコイル 1 1 4 (図 1 1 ) の測定領域毎の電流を取得する測定データ取 得部 1 3 5 Aと、 取得した電流を同一画面の区画された領域に表示する表示 部 1 3 5 Bとを有する。 In FIG. 12, the output unit 1 3 5 is a measurement data acquisition unit that acquires the current for each measurement region of the plurality of small RF coils 1 1 4 (FIG. 1 1) calculated by the current calculation unit 3 0 3. 1 3 5 A and a display section 1 3 5 B that displays the acquired current in a partitioned area of the same screen.
[0175] 表示部 1 3 5 Bでは、 図 1 1に示すように、 小型 R Fコイル 1 1 4の配置 位置に応じて、 画面が複数の領域に区画されている。 各領域は、 各小型 R F コイル 1 1 4の測定領域の電流に応じて、 所定の色が表示される。 In display unit 1 3 5 B, as shown in FIG. 11, the screen is divided into a plurality of regions according to the arrangement position of small RF coil 1 1 4. Each area is displayed in a predetermined color according to the current in the measurement area of each small RF coil 1 14.
[0176] このように、 表示部 1 3 5 Bの各領域に各小型 R Fコイル 1 1 4の測定領 域の電流に応じた色を表示することで、 各小型 R Fコイル 1 1 4での計測位 置と、 電流との関係を直感的に把握することができる。 これにより、 使用者 にとつて使い勝手のよい測定装置とすることができる。 [0176] In this way, by displaying the color corresponding to the current in the measurement area of each small RF coil 1 1 4 on each area of the display unit 1 3 5 B, measurement with each small RF coil 1 1 4 It is possible to intuitively grasp the relationship between the position and the current. Thereby, it is possible to provide a measuring device that is convenient for the user.
[0177] さらに、 表示部 1 3 5 Bの複数の領域を、 それぞれ、 上下二つに分割し、 一方 (たとえば上半分) に電流を示すとともに、 下半分に該当箇所における 試料 1 1 5中の水分量を示してもよい。 試料 1 1 5中の水分量の測定につい ては、 第四の実施形態で後述する。 [0177] Further, the plurality of areas of the display unit 1 3 5 B are divided into upper and lower parts, current is shown on one side (for example, the upper half), and in the sample 1 1 5 in the corresponding place on the lower half The amount of moisture may be indicated. The measurement of the water content in the sample 1 15 will be described later in the fourth embodiment.
[0178] また、 第一の実施形態に記載の測定装置 3 0 0は、 核磁気共鳴法を用いて 燃料電池の固体高分子電解質膜の面内の電流の分布を取得する装置であって もよい。 このとき、 試料 1 1 5は、 燃料電池の固体高分子電解質膜である。 また、 電流分布取得部 (電流分布算出部) 力 複数の小型 R Fコイル 1 1 4 について、 小型 R Fコイル 1 1 4で取得された核磁気共鳴信号の周波数と励 起用振動磁場の周波数との差分 (周波数シフト量 Δ ω ) を算出し、 Δ ωから 、 固体高分子電解質膜の面内の電流分布を取得する。 [0178] Further, the measuring apparatus 300 described in the first embodiment may be an apparatus that acquires a current distribution in a plane of a solid polymer electrolyte membrane of a fuel cell by using a nuclear magnetic resonance method. Good. At this time, Sample 1 15 is a solid polymer electrolyte membrane of a fuel cell. Also, the current distribution acquisition unit (current distribution calculation unit) Force For multiple small RF coils 1 1 4, the difference between the frequency of the nuclear magnetic resonance signal acquired by the small RF coil 1 1 4 and the frequency of the oscillating magnetic field for excitation ( The frequency shift amount Δω) is calculated, and the current distribution in the plane of the solid polymer electrolyte membrane is obtained from Δω.
[0179] また、 測定装置 3 0 0が燃料電池用の測定装置である場合、 固体高分子電 解質膜または M E A (Membrane E l ectrode Assemb l y) の面内の複数の領域に ついて、 Δ ωを取得することにより、 燃料電池の動作状態の診断が可能とな る。 たとえば、 各領域において、 Δ ωを測定し、 理論的な解析値と比較した ときに、 特定の測定箇所でのみ Δ ωの測定値が解析値と異なる挙動を示した 場合には、 当該特定の箇所において、 M E Αに不具合が生じている可能性が ある。 また、 複数の測定箇所について、 Δ ωを所定の時間間隔で測定したと き、 複数の測定箇所全体で Δ ωの測定値と解析値とのずれが大きくなつた場 合には、 Μ Ε Α全体における出力の低下が生じている可能性がある。 [0179] When the measuring device 300 is a measuring device for a fuel cell, By obtaining Δω for multiple regions within the surface of the membrane or MEA (Membrane Electrode Assembly), the operating state of the fuel cell can be diagnosed. For example, when Δ ω is measured in each region and compared with the theoretical analysis value, if the measured value of Δ ω shows a different behavior from the analysis value only at a specific measurement location, There may be a defect in ME IV at the location. In addition, when Δ ω is measured at a predetermined time interval for a plurality of measurement points, and the difference between the measured value of Δω and the analysis value becomes large at all the measurement points, Μ Μ Α There is a possibility that the output is reduced overall.
なお、 M E Aの面内の複数の領域における Δ ωの取得方法については、 後 述する実施例でさらに具体的に示す。 Note that the method for obtaining Δω in a plurality of regions in the plane of M EA will be described more specifically in the examples described later.
[0180] (第三の実施形態) [0180] (Third embodiment)
測定装置 3 0 0 (図 7 ) において、 複数の小型 R Fコイル 1 1 4を設ける ことにより、 以下の手順で周波数シフト量△ ωの計測精度をさらに高めるこ とができる。 In the measuring apparatus 300 (FIG. 7), by providing a plurality of small R F coils 1 14, the measurement accuracy of the frequency shift amount Δω can be further increased by the following procedure.
[01 81 ] ここで、 第一の実施形態で前述した電流計測法を用いる場合、 たとえば実 施例で後述するように、 始めに 「電流なし (電流を流さない状態) での水分 子の核磁気共鳴の周波数 (これを基準周波数と呼ぶ) 」 を決め、 その後に 「 電流を流した場合の核磁気共鳴周波数のシフト量」 を求めている。 [0181] Here, when the current measurement method described above in the first embodiment is used, for example, as described later in the practical example, first, “nucleus of moisture molecules without current (in which no current flows)” The frequency of magnetic resonance (this is called the reference frequency) is determined, and then the "shift amount of the nuclear magnetic resonance frequency when a current is passed" is determined.
[01 82] この方法では、 基準周波数が時間的に変動しない (一定の) 場合 (たとえ ば、 磁石として超伝導磁石や電磁石などを用いた場合) には基準周波数は計 測の一番初めに取得するだけでよく、 その後は電流を流した場合の計測のみ を行っていればよい。 この場合には、 電流の時間変動や過渡応答が計測しや すいという利点がある。 [01 82] In this method, when the reference frequency does not change with time (constant) (for example, when a superconducting magnet or electromagnet is used as the magnet), the reference frequency is the first to be measured. It is only necessary to acquire it, and after that, it is only necessary to perform measurement when current is passed. In this case, there is an advantage that current fluctuation over time and transient response are easy to measure.
[01 83] —方、 磁石として永久磁石を用いた場合には、 磁石の温度が変動すること によって磁場強度が時間的に変動してしまう場合がある。 磁場強度が変動す る場合には、 基準周波数が時間的に一定とはいえない。 [0183] On the other hand, when a permanent magnet is used as the magnet, the magnetic field strength may fluctuate with time due to fluctuations in the temperature of the magnet. When the magnetic field strength fluctuates, the reference frequency cannot be said to be constant over time.
[0184] このような変動する磁場 (基準周波数) の場合には、 「基準周波数が変わ らないと見なせる程度に短い時間間隔で、 電流なしとありの場合での N M R 信号を計測して、 両者の差から、 周波数シフト量を求める」 という方法が考 えられる。 たとえば、 後述する実施例においては、 この方法を選択し、 その 時間間隔は 1 0秒とした。 [0184] In the case of such a fluctuating magnetic field (reference frequency), “the NMR in the case of no current in a time interval that is short enough to assume that the reference frequency does not change” The method of measuring the signal and determining the frequency shift amount from the difference between the two is considered. For example, in the examples described later, this method is selected, and the time interval is set to 10 seconds.
[0185] ところが、 たとえば以上の実施形態を燃料電池の計測に用いる場合、 燃料 電池は発電を始めて電流を流し始めても、 直ちに定常状態にはならず、 定常 状態に達するまでに数秒から数分程度を要することがある。 また、 負荷が変 動したり、 ガス供給が変動したり、 ガス拡散層での水分凝縮が起きるような 「ゆっくり生ずる現象」 での電流計測には適用が難しい場合がある。 その理 由は、 上述した 「基準周波数が一定と見なせる程度の短い時間間隔での、 電 流なしとありの N M R計測」 ができなくなるからである。 [0185] However, for example, when the above embodiment is used for measurement of a fuel cell, the fuel cell does not immediately enter a steady state even if it starts power generation and starts flowing current, and it takes several seconds to several minutes to reach a steady state. May be required. Also, it may be difficult to apply to current measurement in “slowly occurring phenomena” where the load varies, the gas supply fluctuates, or moisture condenses in the gas diffusion layer. The reason is that the above-mentioned “NMR measurement with and without current at a short time interval where the reference frequency can be regarded as constant” cannot be performed.
[0186] そこで、 本実施形態においては、 下記 ( i ) および ( i i ) を組み合わせ て、 電流なしの場合の基準周波数を推算し、 それによつて周波数シフト量を 算出する。 Therefore, in this embodiment, the following (i) and (i i) are combined to estimate the reference frequency when there is no current, and the frequency shift amount is calculated accordingly.
( i ) 複数の R Fコイルを用いる。 一つのコイルは計測したい位置に、 もう 一つの R Fコイルは、 「電流が作る磁場の影響が無視できる程度に燃料電池 から離れた位置」 に置く。 (i) Use multiple RF coils. Place one coil at the position you want to measure, and the other RF coil at a position far from the fuel cell so that the effect of the magnetic field generated by the current is negligible.
( i i ) 「永久磁石内での磁場分布 (核磁気共鳴周波数) は空間全体で一様 に上下するだけであり、 ある一点の場所で核磁気共鳴周波数の変動を計測し ていれば、 他の場所の核磁気共鳴周波数はその変動分だけ上下させれば推測 可能である。 」 という現象を用いる。 (ii) “The magnetic field distribution in the permanent magnet (nuclear magnetic resonance frequency) only rises and falls uniformly in the entire space. If the fluctuation of the nuclear magnetic resonance frequency is measured at a certain point, The nuclear magnetic resonance frequency of a place can be estimated by raising and lowering the fluctuation amount.
[0187] また、 本実施形態では、 複数の小型 R Fコイル 1 1 4を以下のように配置 する。 ここでは、 燃料電池の発電についての測定の場合を例に示すが、 以下 の方法は、 試料 1 1 5の種類に特に制限なく適用できる。 [0187] Further, in the present embodiment, a plurality of small RF coils 1 14 are arranged as follows. Here, the case of measurement of power generation of a fuel cell is shown as an example, but the following method can be applied to the types of Sample 1 15 without any particular limitation.
(コイル 1 ) 一つ目の小型 R Fコイル 1 1 4 :燃料電池から少し離れた場所 (Coil 1) First small R F coil 1 1 4: A little away from the fuel cell
(電流による磁場の影響が無視できる場所) に R Fコイルを置き、 コイルが N M R信号を受信できる場所に基準周波数を計測するための試料 1 1 5を置 いて、 磁石内での核磁気共鳴周波数を計測する。 これは 「基準周波数のモニ ター用 R Fコイルとサンプル」 の役目をする。 (コイル 2) 残りの複数の小型 R Fコイル 1 1 4 :試料 1 1 5の計測したい 置に酉己置する。 Place the RF coil in a place where the influence of the magnetic field due to the current can be ignored, place the sample 1 1 5 for measuring the reference frequency in a place where the coil can receive the NMR signal, and set the nuclear magnetic resonance frequency in the magnet. measure. This serves as the “RF coil and sample for reference frequency monitoring”. (Coil 2) The remaining small RF coils 1 1 4: Place them on the sample 1 1 5 where you want to measure.
そして、 複数コイルでの N MR信号受信が可能なシステムを用いて測定を 行う。 Measurement is performed using a system that can receive NMR signals using multiple coils.
( i ) 始めに 「電流を流さない状態」 での NMR信号を、 すべての小型 RF コイル 1 1 4 (コイル 1およびコイル 2) で受信し、 磁場分布 (核磁気共鳴 周波数分布 ω) を得ておく。 (i) First, the NMR signal in the “no current flow” state is received by all small RF coils 1 1 4 (coil 1 and coil 2), and the magnetic field distribution (nuclear magnetic resonance frequency distribution ω) is obtained. deep.
( i - 1 ) 上記コイル 1での共鳴周波数を ω r (t=0)とする。 tは時刻で (i-1) Let the resonance frequency in coil 1 be ω r (t = 0). t is time
( i -2) 上記コイル 2が置かれた位置 xでの核磁気共鳴関数を ω (t=0, x(i -2) The nuclear magnetic resonance function at the position x where the coil 2 is placed is expressed as ω (t = 0, x
) とする。 ).
( i i ) 燃料電池での発電を始め、 「電流を流した状態」 での NMR信号を すべての小型 RFコイル 1 1 4 (コイル 1およびコイル 2) で受信する。 そ の時刻は t 1である。 (i i) Start power generation in the fuel cell, and receive NMR signals in the “current-carrying state” at all small RF coils 1 1 4 (coil 1 and coil 2). The time is t1.
( i i i ) ( i ) で取得した NMR信号から、 基準周波数の変動量 Δωを求 める。 (i i i) From the NMR signal acquired in (i), obtain the reference frequency variation Δω.
時刻 t 1での変動量 Δω (t1) は、 The fluctuation amount Δω (t1) at time t 1 is
^monitor (t1 ) 一 ^ monitor [=0) ^ monitor (t1) One ^ monitor (= 0)
である。 It is.
( i v) この変動量 Aco(t1)を用いて、 コイル 2のコイル位置での 「電流が ない場合の基準周波数」 を、 下記式より推算する。 (iv) Using this variation Aco (t1), estimate the “reference frequency when there is no current” at the coil position of coil 2 using the following formula.
ωη- current (t1 , x) = co (t1 , x) + Δ ω (t1 ) ω η - current (t1, x) = co (t1, x) + Δ ω (t1)
( ν ) 「電流がある場合に実際にコイル 2で計測された N M R信号の周波数 (ν) “The frequency of the N MR signal actually measured by coil 2 when there is current.
J ourrent (t1 , X) とする。 Let J ourren t (t1, X).
電流がある場合の周波数シフト量 ΔωΟ , X) は、 The frequency shift ΔωΟ, X) with current is
Α ω (t1, x) =ω ourrent (t1 , X) _OJno—current (t1 , X) Α ω (t1, x) = ω ourrent (t1, X) _OJ no — current (t1, X)
で算出できる。 以上により得られた Δω (t1, x) を基に、 電流分布を解析す ればよい。 [0189] 本実施形態により、 第一の実施形態に加えて、 以下の作用効果が得られる すなわち、 コイル 1 とコイル 2について N M R信号を同時刻に計測するこ とで、 基準周波数をより正確に推算することができる。 これにより、 周波数 シフト量 Δ ω (t1 , x) の計測精度を高めることができる。 このため、 たとえ ば燃料電池の測定に用いる際に、 燃料電池を 「短時間で電流なしとあり」 と を切り替えて計測する必要がなくなる。 これにより、 より実際的な発電状況 での計測ができる。 It can be calculated by The current distribution should be analyzed based on Δω (t1, x) obtained as described above. [0189] According to the present embodiment, in addition to the first embodiment, the following operational effects can be obtained. That is, by measuring the NMR signals for coil 1 and coil 2 at the same time, the reference frequency can be more accurately determined. Can be estimated. Thereby, the measurement accuracy of the frequency shift amount Δ ω (t1, x) can be improved. For this reason, for example, when used for measurement of a fuel cell, it is not necessary to measure the fuel cell by switching between “no current in a short time”. This makes it possible to measure in a more realistic power generation situation.
[0190] なお、 コイル 1 とコイル 2について、 同時に計測しなくてもよい。 たとえ ばコイル 1およびコイル 2を交互に切り替えて、 計測してもよい。 コイルの 置かれた位置に依存した 「電流なし」 の場合の基準周波数 wn。_current (t1 , x) をある程度の精度で推測できればよい。 [0190] Coil 1 and coil 2 need not be measured simultaneously. For example, measurement may be performed by alternately switching between coil 1 and coil 2. The reference frequency w n for “no current” depending on the position of the coil. It is sufficient if _current (t1, x) can be estimated with a certain degree of accuracy.
[0191 ] 以上、 第一〜第三の実施形態では、 試料の局所的な電流の測定について説 明した。 [0191] As described above, in the first to third embodiments, the measurement of the local current of the sample has been described.
以下の実施形態では、 試料の局所的な電流に加えて、 試料中のプロ トン性 溶媒の量または易動性を測定する方法および装置について説明する。 なお、 以下の実施形態は、 第一〜第三の実施形態のいずれにも適用可能である。 In the following embodiments, a method and apparatus for measuring the amount or mobility of a protonic solvent in a sample in addition to the local current of the sample will be described. The following embodiment is applicable to any of the first to third embodiments.
[0192] (第四の実施形態) [0192] (Fourth embodiment)
本実施形態においては、 小型検出コイルで取得した局所の磁気共鳴信号を 用いて、 電流および水分量を測定する。 In the present embodiment, current and water content are measured using a local magnetic resonance signal acquired by a small detection coil.
[0193] 図 1 3は、 本実施形態の測定装置の概略構成を示す図である。 図 1 3に示 した装置の基本構成は、 図 7に示した測定装置 3 0 0と同様であるが、 演算 部 1 3 0に、 溶媒情報算出部 3 0 9が設けられている点が異なる。 また、 図 7のパルス制御部 1 0 8に代えて制御部 3 0 7が設けられている点が異なる FIG. 13 is a diagram showing a schematic configuration of the measurement apparatus of the present embodiment. The basic configuration of the apparatus shown in FIG. 13 is the same as that of the measuring apparatus 300 shown in FIG. 7 except that a solvent information calculation unit 3 09 is provided in the calculation unit 1 3 0. . Further, the difference is that a control unit 3 0 7 is provided instead of the pulse control unit 1 0 8 in FIG.
[0194] 溶媒情報算出部 3 0 9は、 試料 1 1 5中に含まれる溶媒に関する情報を算 出し、 本実施形態では、 水分量算出部 1 3 2を含む。 水分量算出部 1 3 2は 、 小型 R Fコイル 1 1 4で取得された N M R信号に基づいて、 試料 1 1 5中 のプロ トン性溶媒 (水) の量を算出する。 [0194] The solvent information calculation unit 3009 calculates information related to the solvent contained in the sample 1 15 and includes a water content calculation unit 1 32 in this embodiment. Based on the NMR signal acquired by the small RF coil 1 1 4 Calculate the amount of protonic solvent (water).
[0195] 図 1 4は、 図 1 3に示した装置の制御部 307の構成を示す図である。 FIG. 14 is a diagram showing the configuration of the control unit 307 of the apparatus shown in FIG.
図 1 4において、 制御部 307は、 前述したパルス制御部 1 08に加えて 、 試料 1 1 5の電流を測定する第一測定モードと試料 1 1 5中の水分量を測 定する第二測定モードとを切り替える切替部 (モード切替制御部 1 69) を 含む。 モード切替制御部 1 69に接続された操作信号受付部 1 29は、 作業 者の測定モードの要求を受け付ける。 そして、 操作信号受付部 1 29力 こ の要求をモード切替制御部 1 69に送出する。 In FIG. 14, in addition to the pulse control unit 108 described above, the control unit 307 includes a first measurement mode for measuring the current of the sample 1 15 and a second measurement for measuring the water content in the sample 1 15. Includes a switching unit (mode switching control unit 169) for switching between modes. The operation signal receiving unit 129 connected to the mode switching control unit 169 receives the operator's request for the measurement mode. Then, the operation signal receiving unit 1 29 sends this request to the mode switching control unit 169.
[0196] 第一測定モードにおいては、 以上の実施形態で前述した手順で、 試料 1 1 5の電流測定が行われる。 つまり、 電流算出部 303力 小型 R Fコイル 1 1 4で取得された N MR信号の周波数と励起用振動磁場の周波数との差分に 基づく試料 1 1 5の特定箇所の電流の算出を実行する。 [0196] In the first measurement mode, the current measurement of the sample 1 15 is performed according to the procedure described in the above embodiment. That is, the current calculation unit 303 forces the calculation of the current at a specific location of the sample 1 15 based on the difference between the frequency of the N MR signal acquired by the small RF coil 1 1 4 and the frequency of the excitation oscillating magnetic field.
[0197] また、 第二測定モードにおいては、 小型 RFコイル 1 1 4力 励起用振動 磁場に対応する NMR信号 (エコー信号) を取得し、 溶媒量算出部 1 32 ( 水分量算出部 1 32) が、 小型 RFコイル 1 1 4で取得されたエコー信号に 基づく試料 1 1 5中のプロ トン性溶媒 (水) の量の算出を実行する。 水分量 算出部 1 32は、 具体的には、 エコー信号の強度から、 T2緩和時定数を算出 し、 算出した Τ2緩和時定数から、 試料 1 1 5中の特定箇所におけるプロ トン 性溶媒の量を算出する。 [0197] In the second measurement mode, a small RF coil 1 1 4 Forced NMR signal (echo signal) corresponding to the vibration magnetic field for excitation is acquired, and the solvent amount calculation unit 1 32 (moisture amount calculation unit 1 32) However, it calculates the amount of the protonic solvent (water) in the sample 1 1 5 based on the echo signal acquired by the small RF coil 1 1 4. Specifically, the water content calculation unit 1 32 calculates the T 2 relaxation time constant from the intensity of the echo signal, and from the calculated Τ 2 relaxation time constant, the protonic solvent at a specific location in the sample 1 15 Calculate the amount of
[0198] 本実施形態では、 たとえば、 第一および第二測定モードに共通のパルスシ —ケンスが用いられる。 In this embodiment, for example, a common pulse sequence is used for the first and second measurement modes.
すなわち、 小型 RFコイル 1 1 4は、 以下の (a) 〜 (c) を含むパルス シーケンスで、 励起用振動磁場を印加する。 That is, the small RF coil 1 14 applies an oscillating magnetic field for excitation in a pulse sequence including the following (a) to (c).
(a) 90° パルス、 (a) 90 ° pulse,
(b) (a) のパルスの時間て経過後に印加される 1 80° パルス、 および (b) 1 80 ° pulse applied after the time of pulse in (a), and
(c) (b) のパルスの時間 2て経過後からはじまり、 時間 2ての間隔で印 加される n個の 1 80° パルス (nは自然数である。 ) (c) n 1 80 ° pulses (n is a natural number) that starts after the lapse of time 2 of the pulse in (b) and is applied at intervals of time 2
[0199] そして、 第一測定モードにおいては、 小型 RFコイル 1 1 4力 上記 (b ) または (c) のパルスに対応するエコー信号を取得する。 このとき、 上記[0199] And in the first measurement mode, the small RF coil 1 1 4 force above (b ) Or (c) The echo signal corresponding to the pulse is acquired. At this time,
(b) のパルスに対応するエコー信号が最も大きい強度となるため、 このェ コ一信号を用いることが好ましい。 また、 電流算出部 303力 エコー信号 の実部および虚部を取得して、 電流を算出する。 Since the echo signal corresponding to the pulse (b) has the highest intensity, it is preferable to use this echo signal. Also, the current calculation unit 303 obtains the real part and the imaginary part of the force echo signal and calculates the current.
[0200] —方、 第二測定モードにおいては、 小型 RFコイル 1 1 4力 上記 (b) および (c) のパルスに対応する複数のエコー信号を取得する。 また、 水分 量算出部 1 32が、 これらの複数のエコー信号の強度から、 T2緩和時定数を 算出する。 [0200] —On the other hand, in the second measurement mode, small RF coil 1 1 4 force Acquires a plurality of echo signals corresponding to the pulses (b) and (c) above. In addition, the water content calculation unit 1 32 calculates the T 2 relaxation time constant from the intensity of the plurality of echo signals.
[0201] 図 1 5は、 電流および水分量の測定手順の例を示すフローチヤ一トである 。 この測定方法は、 以下のステップを含む。 [0201] FIG. 15 is a flowchart showing an example of a procedure for measuring current and water content. This measurement method includes the following steps.
ステップ 301 (ステップ 1 02) :試料 1 1 5に静磁場を印加する、 ステップ 303 (ステップ 1 04) :小型 R Fコイル 1 1 4を介して、 上記 (a) 〜 (c) を含むパルスシーケンスで、 励起用振動磁場を印加し、 これ に対応するェコ一信号を取得する、 Step 301 (Step 10 02): Applying a static magnetic field to sample 1 15; Step 303 (Step 10 04): Pulse sequence including (a) to (c) above via small RF coil 1 1 4 Apply the excitation oscillating magnetic field and obtain the corresponding echo signal.
ステップ 305 :ステップ 303で取得した上記 (b) または (c) のパル スに対応するェコ一信号の実部および虚部を用いて、 ェコ一信号の周波数と 励起用振動磁場の周波数との差分を算出する、 Step 305: Using the real part and imaginary part of the echo signal corresponding to the pulse (b) or (c) obtained in step 303, the frequency of the echo signal and the frequency of the oscillating magnetic field for excitation The difference between
ステップ 307 :ステップ 305で得られた差分から、 試料の特定箇所の電 流を求める、 Step 307: From the difference obtained in step 305, obtain the current at a specific part of the sample.
ステップ 1 06 :ステップ 303で取得した上記 (b) および (c) のパル スに対応する複数のエコー信号の強度から T2緩和時定数を算定する、 ステップ 1 08 :ステップ 1 06で算出した Τ2緩和時定数から、 試料中の局 所的水分量を測定する、 Step 1 06: Calculate the T 2 relaxation time constant from the intensities of multiple echo signals corresponding to the pulses (b) and (c) obtained in Step 303. Step 1 08: Τ calculated in Step 1 06 2 Measure the local moisture content in the sample from the relaxation time constant.
ステップ 309 (ステップ 1 1 0) : その後、 結果を出力する。 Step 309 (Step 1 1 0): After that, the result is output.
[0202] ステップ 303 (ステップ 1 04) において、 核磁気共鳴信号の周波数と 励起用振動磁場の周波数との差分の算出のためのエコー信号の取得と、 Τ2緩 和時定数の算出のためのエコー信号の取得とを、 同時に行ってもよい。 たと えば、 周波数の差分の算出と Τ2緩和時定数を算定に、 いずれも上記 (b) の パルスを使うとき、 ステップ 3 0 3 (ステップ 1 0 4 ) において、 上記 (b ) および (c ) のパルスに対応するエコー信号を取得する。 そして、 ステツ プ 3 0 5では、 上記 (b ) のパルスに対応するエコー信号の実部および虚部 を用いて周波数の差分を算出する。 ステップ 3 0 7では、 上記 (b ) および ( c ) のパルスに対応する複数のエコー信号の強度から T 2緩和時定数を算定 する。 なお、 周波数の差分の算出と Τ 2緩和時定数を算定に、 いずれも上記 ( c ) のパルスを使うこともできる。 [0202] In Step 303 (Step 104), an echo signal is obtained for calculating the difference between the frequency of the nuclear magnetic resonance signal and the frequency of the oscillating magnetic field for excitation, and Τ 2 for calculating the relaxation time constant. The acquisition of the echo signal may be performed simultaneously. For example, to calculate the difference calculation and T 2 relaxation time constant of the frequency, both above (b) When using a pulse, in step 3 0 3 (step 1 0 4), an echo signal corresponding to the above pulses (b) and (c) is acquired. In step 300, the frequency difference is calculated by using the real part and the imaginary part of the echo signal corresponding to the pulse (b). In step 3 07, the T 2 relaxation time constant is calculated from the intensities of multiple echo signals corresponding to the pulses (b) and (c) above. Note that the pulse in (c) above can be used for both frequency difference calculation and ( 2) relaxation time constant calculation.
[0203] 本実施形態によれば、 共通のパルスシーケンスを用いた一連の測定により 、 一つの装置で膜等の試料 1 1 5の局所的な電流だけでなく、 含水量を合わ せて計測できる。 このため、 発電または水電解運転時の試料 1 1 5の状態を より一層詳細に把握することができる。 [0203] According to the present embodiment, it is possible to measure not only the local current of the sample 1 15 such as a membrane, but also the water content with one apparatus by a series of measurements using a common pulse sequence. . For this reason, the state of the sample 1 15 during power generation or water electrolysis operation can be grasped in more detail.
[0204] なお、 本実施形態において、 小型 R Fコイル 1 1 4は、 電流測定 (第一測 定モード) のパルスと、 水分量測定 (第二測定モード) のパルスとを交互に 複数回繰り返すパルスシーケンスで励起用振動磁場を印加することもできる 。 つまり、 核磁気共鳴信号の周波数と励起用振動磁場の周波数との差分の算 出のためのエコー信号の取得と、 Τ 2緩和時定数の算出のためのエコー信号の 取得とを、 交互に行うこともできる。 このようにすれば、 試料 1 1 5の局所 的な電流および含水量の測定をさらに安定的に行うことができる。 [0204] In this embodiment, the small RF coil 1 14 is a pulse that alternately repeats a pulse for current measurement (first measurement mode) and a pulse for moisture measurement (second measurement mode) multiple times. An oscillating magnetic field for excitation can also be applied in a sequence. In other words, it performs an acquisition of echo signals for calculation unloading of the difference between the frequency and the frequency of the excitation oscillating magnetic field of the nuclear magnetic resonance signal, the acquisition of echo signals for calculating the T 2 relaxation time constant, alternating You can also In this way, the local current and water content of sample 1 15 can be measured more stably.
[0205] (第五の実施形態) [0205] (Fifth embodiment)
本実施形態においては、 小型検出コイルで取得した局所の磁気共鳴信号を 用いて、 電流、 水分量ならびに水の易動性を測定する。 In the present embodiment, current, water content, and water mobility are measured using local magnetic resonance signals acquired by a small detection coil.
[0206] 図 1 6は、 本実施形態の測定装置の概略構成を示す図である。 図 1 6に示 した装置の基本構成は、 図 1 3に示した測定装置と同様であるが、 演算部 1 3 0の溶媒情報算出部 3 0 9が、 さらに易動性算出部 1 3 3を備え、 また、 演算部 1 3 0中に移動量算出部 1 3 4が設けられている点が異なる。 また、 図 1 6に示した装置は、 図 7および図 1 3に示した装置に加えて、 試料 1 1 5に対して勾配磁場を印加する勾配磁場印加部 (一対の Gコイル 1 5 1 ) お よび一対の Gコイル 1 5 1にパルス電流を供給する電流駆動用電源 1 5 9を さらに備える。 FIG. 16 is a diagram showing a schematic configuration of the measurement apparatus of the present embodiment. The basic configuration of the apparatus shown in FIG. 16 is the same as that of the measuring apparatus shown in FIG. 13. However, the solvent information calculation unit 3 0 9 of the calculation unit 1 30 is further replaced with the mobility calculation unit 1 3 3. And the movement amount calculation unit 1 3 4 is provided in the calculation unit 1 3 0. In addition to the apparatus shown in FIGS. 7 and 13, the apparatus shown in FIG. 16 has a gradient magnetic field application unit (a pair of G coils 1 5 1) that applies a gradient magnetic field to sample 1 15. And a pair of G coils 1 5 1 Further prepare.
[0207] —対の Gコイル 1 5 1は、 小型 R Fコイル 1 1 4から離間して配置された 勾配磁場印加コイルである。 一対の Gコイル 1 5 1は、 図 1 7に示すように 、 試料 1 1 5に勾配磁場を印加できるように配置される。 Gコイル 1 5 1は 、 一つの小型 R Fコイル 1 1 4に対して、 2つ配置され、 小型 R Fコイル 1 1 4を挟んで対向配置されている。 [0207] —The pair of G coils 15 1 is a gradient magnetic field application coil disposed away from the small RF coil 1 1 4. As shown in FIG. 17, the pair of G coils 15 1 is arranged so that a gradient magnetic field can be applied to the sample 1 15. Two G coils 15 1 are arranged with respect to one small RF coil 1 1 4, and are arranged opposite to each other with the small RF coil 1 1 4 interposed therebetween.
[0208] Gコイル 1 5 1の形状は、 種々のものを採用し得るが、 本実施形態では平 板状コイルを用いる。 Gコイル 1 5 1は、 本実施形態では、 図 1 7に示すよ うに半月状である。 なお、 図 1 7では、 一つの試料 1 1 5に複数の小型 R F コイル 1 1 4を設け、 各小型 R Fコイル 1 1 4に対して一対の Gコイル 1 5 1を配置する場合が例示されている。 Gコイル 1 5 1は、 試料 1 1 5の表面 に対し平行に配置される。 [0208] Various shapes can be adopted for the G coil 151, but a flat coil is used in the present embodiment. In this embodiment, the G coil 15 1 has a half-moon shape as shown in FIG. FIG. 17 illustrates a case where a plurality of small RF coils 1 1 4 are provided in one sample 1 1 5, and a pair of G coils 1 5 1 is arranged for each small RF coil 1 1 4. Yes. The G coil 15 1 is arranged in parallel to the surface of the sample 1 15.
[0209] また、 Gコイル 1 5 1は、 小型 R Fコイル 1 1 4よりも上方に配置されて いる。 これにより、 小型 R Fコイル 1 1 4の中心軸上に、 y軸方向に磁場の 勾配を持つ勾配磁場を形成することができる。 [0209] Further, the G coil 15 1 is arranged above the small RF coil 1 14. As a result, a gradient magnetic field having a magnetic field gradient in the y-axis direction can be formed on the central axis of the small RF coil 1 14.
[0210] 小型 R Fコイル 1 1 4と一方の Gコイル 1 5 1 との間、 小型 R Fコイル 1 [0210] Small R F coil 1 1 4 Between one G coil 1 5 1 and Small R F coil 1
1 4と他方の Gコイル 1 5 1 との間には、 図示しない遮蔽シールドが設けら れている。 この遮蔽シ一ルドにより、 Gコイル 1 5 1からのノイズが、 小型 R Fコイル 1 1 4に影響するのを防止している。 遮蔽シールドは、 ノイズの 通過を防止し、 かつ、 磁場が通過できるような厚さとなっている。 A shield shield (not shown) is provided between 14 and the other G coil 15 1. This shielding shield prevents noise from the G coil 15 1 from affecting the small RF coil 1 14. The shielding shield has a thickness that prevents the passage of noise and allows a magnetic field to pass.
[021 1 ] なお、 電流、 水分量および自己拡散係数を計測する際には、 小型 R Fコィ ル 1 1 4のみを試料 1 1 5に接触させる。 [021 1] When measuring the current, water content, and self-diffusion coefficient, only the small RF coil 1 1 4 is brought into contact with the sample 1 1 5.
[0212] 図 1 6に戻り、 易動性算出部 1 3 3は、 異なる勾配磁場に対応して得られ た小型 R Fコイル 1 1 4で取得された N M R信号に基づいて、 試料 1 1 5中 のプロ トン性溶媒 (水) の易動性を算出する。 [0212] Returning to Figure 16, the mobility calculation unit 1 3 3 is based on the NMR signals acquired by the small RF coils 1 1 4 obtained corresponding to different gradient magnetic fields. Calculate the mobility of the protonic solvent (water).
[0213] また、 移動量算出部 1 3 4は、 水分量算出部 1 3 2にて算出した水分量、 易動性算出部 1 3 3にて算出した自己拡散係数に基づいて、 水分子の移動量 を算出する。 移動量算出部 1 3 4は、 たとえば、 水分子の移動量を算出する ためのパラメータが記憶されたパラメータ記憶部と、 このパラメータ記憶部 に記憶された算出式を読み出して、 水分子の移動量を算出する移動量計算部 とを備える。 [0213] The movement amount calculation unit 1 3 4 is based on the water amount calculated by the moisture amount calculation unit 1 3 2 and the self-diffusion coefficient calculated by the mobility calculation unit 1 3 3. Calculate the travel distance. For example, the movement amount calculation unit 1 3 4 calculates the movement amount of water molecules. A parameter storage unit in which parameters for storing are stored, and a movement amount calculation unit that reads a calculation formula stored in the parameter storage unit and calculates a movement amount of water molecules.
[0214] パラメータ記憶部には、 各試料 1 1 5の種類ごとに、 自己拡散係数と、 水 分量とから水分子の移動量を算出するための算出式が記憶されている。 この 算出式に基づいて、 移動量計算部にて、 移動量を算出することができる。 [0214] The parameter storage unit stores a calculation formula for calculating the amount of movement of water molecules from the self-diffusion coefficient and the amount of water for each sample 1 15 type. Based on this calculation formula, the movement amount calculation unit can calculate the movement amount.
[0215] また、 本実施形態において、 制御部 307中のモード切替制御部 1 69が 、 試料 1 1 5の電流を測定する第一測定モード、 試料 1 1 5中の水分量を測 定する第二測定モード、 および試料 1 1 5中の水の易動性を測定する第三測 定モードを切り替える。 [0215] In the present embodiment, the mode switching control unit 169 in the control unit 307 is a first measurement mode in which the current of the sample 1 15 is measured, and the water content in the sample 1 15 is measured. Switch between the second measurement mode and the third measurement mode that measures the mobility of water in sample 1 1 5.
[0216] 第三測定モードにおいては、 小型 R Fコイル 1 1 4力 試料 1 1 5に励起 用振動磁場を印加するとともに、 励起用振動磁場および勾配磁場に対応する 核磁気共鳴信号を取得する。 また、 易動性算出部 1 33が、 異なる勾配磁場 に対応して得られた核磁気共鳴信号の情報に基づいて、 試料 1 1 5の特定箇 所の易動性を算出する。 [0216] In the third measurement mode, an excitation oscillating magnetic field is applied to the small RF coil 1 1 4 force sample 1 15 and a nuclear magnetic resonance signal corresponding to the excitation oscillating magnetic field and gradient magnetic field is acquired. In addition, the mobility calculation unit 133 calculates the mobility of a specific portion of the sample 1 15 based on the information of the nuclear magnetic resonance signals obtained corresponding to different gradient magnetic fields.
[0217] また、 第三測定モードにおいては、 小型 R Fコイル 1 1 4は、 以下の (a ) 〜 (d) を含むパルスシーケンスで、 励起用振動磁場を印加する。 [0217] In the third measurement mode, the small RF coil 11 14 applies the excitation oscillating magnetic field in a pulse sequence including the following (a) to (d).
(a) 励起用振動磁場の 90° パルス、 (a) 90 ° pulse of oscillating magnetic field for excitation,
(b) (a) のパルス時間の経過後からはじまり、 一定時間 d印加される、 勾配磁場パルス、 (b) Gradient magnetic field pulse that starts after the elapse of the pulse time of (a) and is applied for a certain time d,
(c) (a) のパルスの時間て経過後に印加される励起用振動磁場の 1 80 ° パルス、 および、 (c) 1 80 ° pulse of an oscillating magnetic field for excitation applied after the elapse of the time of the pulse of (a), and
(d) (c) のパルス時間の経過後からはじまり、 一定時間 d印加される、 勾配磁場パルス。 (d) Gradient magnetic field pulse that starts after elapse of the pulse time of (c) and is applied for a certain time d.
[0218] なお、 上記 (b) で印加される勾配磁場がゼロであってもよい。 また、 ( a) 90° パルスが第 1位相にあり、 (c) 1 80° パルスが、 第 1位相と 90° ずれた第 2位相にある構成として、 スピン一スピンに基づく N MR信 号のピーク強度と試料 1 1 5中の水の自己拡散係数 Dとの相関関係を取得す ることもできる。 [0218] Note that the gradient magnetic field applied in (b) may be zero. In addition, (a) 90 ° pulse is in the first phase and (c) 1 80 ° pulse is in the second phase that is 90 ° shifted from the first phase. Obtain correlation between peak intensity and self-diffusion coefficient D of water in sample 1 1 5 You can also.
[0219] 図 1 8は、 電流および易動性の測定手順の例を示すフローチヤ一トである 。 図 1 8は、 上記パルスシーケンスのうち、 (b ) で印加する勾配磁場をゼ 口とした例であり、 以下のステツプを含む。 [0219] FIG. 18 is a flowchart showing an example of a procedure for measuring current and mobility. FIG. 18 is an example of using the gradient magnetic field applied in (b) of the above pulse sequence as an outlet, and includes the following steps.
ステップ 3 0 1 (ステップ 1 0 2 ) :試料 1 1 5に静磁場を印加する、 ステップ 3 0 3 (ステップ 2 0 2 ) :勾配磁場をゼロとし、 上記 (a ) 〜 ( d ) を含むパルスシーケンスで、 励起用振動磁場を印加し、 これに対応する エコー信号を取得する (第一ステップ) 、 Step 3 0 1 (Step 1 0 2): Applying a static magnetic field to the sample 1 1 5, Step 3 0 3 (Step 2 0 2): Pulse with zero gradient field and the above (a) to (d) In sequence, apply the excitation oscillating magnetic field and acquire the corresponding echo signal (first step)
ステップ 3 0 5 :ステップ 3 0 3で取得した (d ) のパルスに対応するェコ 一信号の実部および虚部を用いて、 ェコ一信号の周波数と励起用振動磁場の 周波数との差分を算出する、 Step 30: Difference between the frequency of the echo signal and the frequency of the oscillating magnetic field for excitation using the real and imaginary parts of the echo signal corresponding to the pulse (d) obtained in step 303 To calculate,
ステップ 3 0 7 :ステップ 3 0 5で得られた差分から、 試料の特定箇所の電 流を求める (第二ステップ) 、 Step 3 07: From the difference obtained in Step 3 0 5, find the current at a specific part of the sample (second step)
ステップ 2 0 4 :勾配磁場をゼロでない所定の大きさとし、 上記 (a ) 〜 ( d ) を含むパルスシーケンスで、 励起用振動磁場を印加し、 これに対応する エコー信号を取得する (第三ステップ) 、 Step 2 04: The gradient magnetic field is set to a non-zero predetermined magnitude, and the excitation oscillating magnetic field is applied in the pulse sequence including the above (a) to (d), and the corresponding echo signal is acquired (third step) ),
ステップ 2 0 6 :ステップ 2 0 2およびステップ 2 0 4で得られた N M R信 号のピーク強度から、 上記式 ( I I ) を用いて、 試料 1 1 5の特定箇所の水 の自己拡散係数 Dを求める (第四ステップ) 、 Step 2 06: From the peak intensities of the NMR signals obtained in Step 2 0 2 and Step 2 0 4, the self-diffusion coefficient D of water at a specific location in Sample 1 1 5 Seeking (fourth step)
ステップ 3 0 9 (ステップ 2 0 8 ) : その後、 結果を出力する。 Step 3 0 9 (Step 2 0 8): After that, the result is output.
[0220] この手順においては、 ステップ 2 0 2の勾配磁場をゼロとすることにより[0220] In this procedure, the gradient magnetic field in step 2 0 2 is set to zero.
、 一連の測定で電流と自己拡散係数 Dを求めることができる。 The current and self-diffusion coefficient D can be obtained by a series of measurements.
[0221 ] なお、 図 1 6に示した装置においても、 たとえば図 1 5を参照して前述し た手順により、 一度の測定で試料 1 1 5の電流と水分量とを求めることがで さる。 [0221] In the apparatus shown in Fig. 16 as well, the current and moisture content of sample 115 can be obtained by a single measurement by the procedure described above with reference to Fig. 15 for example.
[0222] 本実施形態においては、 膜等の試料 1 1 5の局所的な電流に加えて、 含水 量と水分子の易動度も合わせて計測できる。 このため、 発電または水電解運 転時の膜内の状態をより一層詳細に把握することができる。 [0223] また、 以上の三つの計測方法を組み合わせることで、 たとえば、 燃料電池 内の 「電流分布」 と、 高分子電解質膜内の 「水分量」 と 「水分子の易動度」 とを同時または交互に計測することができる。 これらを統合させた計測は、 燃料電池の統合モニタリング方法として有用であり、 燃料電池の性能向上を 目指した開発現場に新たな計測量を提供し、 N M Rセンサの適用範囲を拡大 させる装置として効果的である。 [0222] In the present embodiment, in addition to the local current of the sample 1 15 such as a membrane, the water content and the mobility of water molecules can also be measured. For this reason, the state in the membrane at the time of power generation or water electrolysis operation can be grasped in more detail. [0223] Also, by combining the above three measurement methods, for example, the "current distribution" in the fuel cell, the "water content" in the polymer electrolyte membrane, and the "mobility of water molecules" can be Or it can measure alternately. Measurement that integrates these is useful as an integrated monitoring method for fuel cells, and is effective as a device that provides new measurement amounts to development sites aimed at improving fuel cell performance and expands the application range of NMR sensors. It is.
[0224] 以上の実施形態によれば、 たとえば以下の作用効果を得ることも可能とな る。 [0224] According to the above embodiment, for example, the following operational effects can be obtained.
小型検出コイルが受信する N M R信号の周波数シフト量から、 燃料電池な どの試料に流れる電流量を換算することができる。 その際、 一つの小型検出 コイルであっても、 試料に流れる電流が均一であれば、 周波数シフト量から 容易に電流量を換算することができる。 The amount of current flowing in a sample such as a fuel cell can be converted from the frequency shift amount of the NMR signal received by the small detection coil. At that time, even with one small detection coil, if the current flowing through the sample is uniform, the amount of current can be easily converted from the amount of frequency shift.
また、 実機の単セルに小型検出コイルを複数組み込み、 高分子膜からの N M R信号を取得して、 電流が流れた時に生ずる N M R信号の周波数シフト量 △ ωから、 電流分布を換算することが可能となる。 これにより、 複数コイル で電流分布を効果的に計測することが可能となる。 In addition, multiple small detection coils can be incorporated into a single unit cell, and NMR signals can be acquired from the polymer film, and the current distribution can be converted from the frequency shift amount ∆ω of the NMR signal that occurs when current flows. It becomes. This makes it possible to effectively measure the current distribution with multiple coils.
また、 燃料電池用高分子膜の 「局所水分量」 と 「水分子の局所易動度」 と 「電流分布」 を同一の装置で、 同一の場所で、 同一センサで局所計測する。 三つの量を数秒ごとに交互に計測することでほぼ同時刻に両者の値を取得す ることができる (同一装置、 同一位置、 ほぼ同時刻) 。 In addition, the “local water content”, “local mobility of water molecules” and “current distribution” of the polymer membrane for fuel cells are measured locally using the same device and the same sensor. By alternately measuring the three quantities every few seconds, both values can be obtained at almost the same time (same device, same position, almost same time).
また、 水分量と水分子の移動度と電流を数秒以内に計測する短時間計測が 可能となる。 In addition, it enables short-time measurement that measures the amount of water, mobility of water molecules, and current within a few seconds.
また、 高分子膜の表面に貼り付けるだけで、 かつ電磁波を用いた非侵襲計 測を行う。 In addition, non-invasive measurement using electromagnetic waves is performed simply by attaching to the surface of the polymer film.
また、 燃料電池の発電を行いながらでも、 水分量と水分子の易動度と電流 分布を計測できる。 In addition, the amount of water, the mobility of water molecules, and the current distribution can be measured while generating power from the fuel cell.
また、 高分子膜の状態を 「水分含有量」 と 「水分子の易動度」 と 「電流分 布」 の多様な情報から把握でき、 燃料電池内での発電状態または水電解状態 を監視し、 最も発電効率が高くなるように制御するためのモニタリングが可 能となる。 In addition, the state of the polymer membrane can be grasped from various information such as “water content”, “mobility of water molecules”, and “current distribution”, and the power generation state or water electrolysis state in the fuel cell Monitoring can be performed to control power generation efficiency to the highest level.
また、 「磁石■勾配磁場コイル一体型の棒状局所計測センサ」 では、 燃料 電池セル内に容易にセンサを設置でき、 しかも、 R F検出コイル部のみが被 計測領域にあればよく、 ガス供給などを阻害することなく、 計測することが できる (図 1 9 ) 。 In addition, the “Magnet ■ Magnetic field gradient coil integrated rod-shaped local measurement sensor” allows the sensor to be easily installed in the fuel cell, and only the RF detection coil section needs to be in the measurement area. Measurements can be made without obstruction (Fig. 19).
また、 磁石とコイルを一体型にすることで装置構成による N M R法の適用 性の制限が解決され、 高分子膜の計測以外の食品管理やプロセス管理などに も適用範囲を広げることができる。 Also, by integrating the magnet and coil, the limitations on the applicability of the NMR method depending on the equipment configuration can be solved, and the scope of application can be expanded to food management and process management other than measurement of polymer films.
[0225] 以上、 図面を参照して本発明の実施形態について述べたが、 これらは本発 明の例示であり、 上記以外の様々な構成を採用することもできる。 As described above, the embodiments of the present invention have been described with reference to the drawings. However, these are exemplifications of the present invention, and various configurations other than the above can be adopted.
[0226] たとえば、 以上の実施形態においては、 電流を計測する際にスピンエコー 法を用いて周波数シフト量を測定する場合を例に説明したが、 実施例で後述 するように、 周波数シフト量は、 単純な F I D (Free I nduct i on Decay) か ら算出することもできる。 F I Dを用いる場合、 たとえば小型 R Fコイル 1 1 4が、 For example, in the above embodiment, the case where the frequency shift amount is measured using the spin echo method when measuring the current has been described as an example. However, as described later in the embodiment, the frequency shift amount is It can also be calculated from a simple FID (Free Induct on Decay). When using F ID, for example, a small R F coil 1 1 4
( a ) 9 0 ° パルス (a) 90 ° pulse
を印加してこれに対応する F I D信号を取得し、 電流算出部 3 0 3が、 F I D信号の実部および虚部を取得して、 位相の変化量から電流を求めてもよい 。 こうすれば、 9 0 ° パルスのみで計測できるため、 励起パルスの繰り返し 時間を短くでき、 短時間で位相の変化量を求められる。 また、 9 0 ° よりも 小さくてももしくは大きくても F I D信号自体は観測できるため、 スピンェ コ一法に比べて調整を簡略化することができる。 May be applied to obtain a corresponding F I D signal, and the current calculation unit 303 may obtain a real part and an imaginary part of the F I D signal to obtain a current from a phase change amount. In this way, measurement can be performed with only 90 ° pulses, so the repetition time of the excitation pulse can be shortened, and the amount of phase change can be determined in a short time. In addition, since the F ID signal itself can be observed whether it is smaller or larger than 90 °, adjustment can be simplified compared to the spin echo method.
また、 電流とともに水分量または水の易動性を測定する場合にも、 上記 ( a ) を含むパルスシーケンスを用ることにより、 (a ) に対応する F I D信 号から電流を算出することができる。 In addition, when measuring the amount of water or the mobility of water together with the current, the current can be calculated from the FID signal corresponding to (a) by using the pulse sequence including (a) above. .
実施例 Example
[0227] (実施例 1 ) 本実施例では、 狭い隙間に水を入れ、 その試料に密着させて銅板を置き、 銅板に電流を流した際の N M R信号の周波数変化を計測した。 [0227] (Example 1) In this example, water was poured into a narrow gap, a copper plate was placed in close contact with the sample, and the change in frequency of the NMR signal when current was passed through the copper plate was measured.
図 20は、 本実施例の概要を説明する図である。 図 20に示したように、 本実施例では、 銅板に電流 j を流して、 磁場!"!」を形成させ、 その横に置いた 水からの N MR信号の周波数変化を計測する実験を行った。 この実験により 、 電流 j と周波数シフト量 Δωとの関係を取得する。 銅板は燃料電池を模擬 しており、 水は燃料電池内の高分子膜を模擬している。 FIG. 20 is a diagram for explaining the outline of this embodiment. As shown in Fig. 20, in this example, an electric current j was passed through a copper plate to form a magnetic field! "!" And an experiment was conducted to measure the frequency change of the N MR signal from the water placed next to it. It was. By this experiment, the relationship between the current j and the frequency shift amount Δω is obtained. The copper plate simulates a fuel cell, and the water simulates a polymer membrane in the fuel cell.
[0228] 試料は、 寸法が 1 8mmX 1 8mm、 厚さ 0. 1 2 mmのカバ一ガラスを 2枚用い、 隙間 0. 5mmの間隔を空けて密閉容器とし、 その中に 2. 5m mo I /Lの C u S04水溶液を封入した。 図 2 1は、 本実施例で用いた試料[0228] The sample is a sealed container with two cover glass with dimensions of 18 mm x 18 mm and a thickness of 0.1 2 mm, with a gap of 0.5 mm, and 2.5 mm mo I in it. / encapsulating C u S0 4 aqueous solution L. Figure 21 shows the sample used in this example.
(C u S04a q. 2. 5 mm o I / L ) を示す図である。 試料のすぐ下に、 寸法が 2 OmmX 2 Omm、 厚さ 0. 05mmの銅板を置いた。 この銅板に は、 直流安定化電源を用いて定常的な電流 j を流すことができる。 銅板では 電流 j は面内を一様に流れるとみなすことができる。 It is a figure which shows (CuS0 4 a q. 2.5 mm o I / L). A copper plate with dimensions of 2 OmmX 2 Omm and a thickness of 0.05 mm was placed directly under the sample. A steady current j can flow through this copper plate using a DC stabilized power supply. In a copper plate, the current j can be regarded as flowing uniformly in the plane.
[0229] N MR信号は 90度励起パルスと 1 80度励起パルスの間隔を 5 m sに設 定し、 エコー時間が 1 Om sとしてエコー信号を計測した。 このシーケンス では、 1 80度励起パルスの前後には 1 m sの時間だけ勾配磁場を印加して 、 90度および 1 80度励起パルス直後の NMR信号が、 エコー信号と干渉 しないようにした。 [0229] For the N MR signal, the interval between the 90-degree excitation pulse and the 180-degree excitation pulse was set to 5 ms, and the echo signal was measured with an echo time of 1 Oms. In this sequence, a gradient magnetic field was applied for 1 ms before and after the 180 ° excitation pulse so that the NMR signals immediately after the 90 ° and 180 ° excitation pulses did not interfere with the echo signal.
[0230] 電流 jがゼロの時のエコー信号を図 22に示す。 N M R信号は位相敏感検 波方式で検波され、 実部、 虚部の二つの信号を取得した。 図 22では、 実部 および虚部を、 それぞれ 「R e a I」 と 「 I ma g」 で示した。 90度励起 パルスは t i m e = 5m sで照射した。 図中の 「P ow e r」 は実部と虚部 から信号強度を算出したものである。 この 「P ow e r」 の形から、 t i m e = 1 5m sでエコーがピークをとることが分かる。 [0230] Figure 22 shows the echo signal when the current j is zero. The NMR signal was detected by the phase-sensitive detection method, and two signals were acquired, the real part and the imaginary part. In Fig. 22, the real part and the imaginary part are indicated by "R e a I" and "I mag", respectively. The 90-degree excitation pulse was applied at t im e = 5 ms. “Pow er” in the figure is the signal strength calculated from the real and imaginary parts. From the form of “P ow e r”, it can be seen that the echo peaks at t i m e = 15 ms.
[0231] 実部 R eと虚部 I m gを基に t a n- 1 (R e/ I mg) をとつて、 N M R信 号の位相差 ΔΦ [ r a d] を算出した。 位相の基準は NMR装置が持つ発振 器からの基準波であり、 この周波数は N M R信号の共鳴周波数に予め合わせ た。 時間的に変化しない基準波 (位相 Φ0) と、 計測した NMR信号との位相 の差を ΔΦとした。 この実部と虚部と位相差 ΔΦの関係を図 1 0に示した。 [0231] The phase difference ΔΦ [rad] of the NMR signal was calculated using ta n- 1 (R e / I mg) based on the real part R e and the imaginary part I mg. The phase reference is the reference wave from the oscillator of the NMR device, and this frequency is set in advance to the resonance frequency of the NMR signal. It was. The phase difference between the reference wave (phase Φ 0 ) that does not change in time and the measured NMR signal is ΔΦ. The relationship between the real part, the imaginary part, and the phase difference ΔΦ is shown in FIG.
[0232] また、 図 23には、 図 22の上記 t a n-1 (Re/ I mg) から算出した位 相差 ΔΦを示した。 ただし、 この図では、 エコー信号が観測される時間の 1In addition, FIG. 23 shows the phase difference ΔΦ calculated from the tan- 1 (Re / I mg) in FIG. However, in this figure, 1 of the time when the echo signal is observed
3 3から 1 7 m sの間だけが示されている。 Only between 3 3 and 17 ms is shown.
[0233] 図 23から、 位相差 ΔΦが時間的にほぼ一定 (真横の線) であり、 電流】 がゼロの場合には、 基準波と一定の位相差で N M R信号が回転していること が分かる。 [0233] From Fig. 23, when the phase difference ΔΦ is almost constant in time (straight line) and the current] is zero, the NMR signal rotates with a constant phase difference from the reference wave. I understand.
[0234] 次に、 電流 jが 0. 8 OAの時に計測されたエコー信号を図 24に、 これ を基に計算した位相差 ΔΦを図 25に示す。 パルスシーケンスは電流 jがゼ 口の時と同じである。 Next, the echo signal measured when the current j is 0.8 OA is shown in FIG. 24, and the phase difference ΔΦ calculated based on this is shown in FIG. The pulse sequence is the same as when the current j is closed.
[0235] 図 24のエコー信号では、 図 22とは異なり、 NMR信号の実部と虚部が 振動し、 周波数が基準波からずれている様子が分かる。 エコー信号の領域で は、 実部が先で、 その後に虚部が振動している。 In the echo signal of FIG. 24, unlike FIG. 22, the real part and imaginary part of the NMR signal oscillate, and the frequency is shifted from the reference wave. In the echo signal area, the real part comes first and then the imaginary part vibrates.
[0236] 図 25には、 図 24の t a n-1 (Re/ I mg) を求めることにより算出し た位相差 ΔΦを示した。 この図では、 時間が経過すると共に、 位相差 ΔΦが 増加 (右上がりの直線) し、 基準波から N MR信号の位相が時間の経過と共 に進んでいく様子を見ることができる。 本来、 位相差 ΔΦは時間と共に増加 するような右上がりの一本の直線になると思われるが、 位相は _ π力、ら + πま での 2 πの範囲で表現されるため、 その範囲を超えてしまうと、 2 πだけず れた不連続な線として見える。 これが t i m e = 1 4. 6msのところで + πから一 πへ不連続に移行する理由である。 FIG. 25 shows the phase difference ΔΦ calculated by obtaining tan- 1 (Re / I mg) in FIG. In this figure, as time elapses, the phase difference ΔΦ increases (upward straight line), and you can see how the phase of the N MR signal advances from the reference wave over time. Originally, the phase difference ΔΦ seems to be a single straight line that increases with time, but the phase is expressed in the range of 2 π up to _π force, and + π. When it exceeds, it appears as a discontinuous line shifted by 2π. This is the reason for discontinuous transition from + π to 1π at time = 14.6ms.
[0237] さらに、 電流 j を逆方向に流して、 一 0. 8 OAの時に計測されたエコー 信号を図 26に、 これを基に計算した位相差 ΔΦを図 27に示す。 [0237] Furthermore, Fig. 26 shows the echo signal measured at 10.8 OA when current j is applied in the reverse direction, and Fig. 27 shows the phase difference ΔΦ calculated based on this.
[0238] 図 26のエコー信号では、 図 24とは実部、 虚部の N M R信号が反転して [0238] In the echo signal of Fig. 26, the N M R signal of the real part and the imaginary part is inverted from Fig. 24.
(虚部が先に下方向へ) 振動し、 逆方向に周波数が基準波からずれている様 子が分かる。 (Imaginary part goes down first) You can see that the frequency is shifted from the reference wave in the opposite direction.
[0239] 図 27には、 図 26の t a n-1 (Re/ I mg) を求めることにより算出し た位相差 ΔΦを図示した。 この図では、 図 25とは全く逆に、 時間の経過と 共に位相差 ΔΦが減少 (右下がりの直線) し、 基準波から NMR信号の位相 が時間の経過と共に遅れていく様子を見ることができる。 [0239] Figure 27 is calculated by obtaining ta n- 1 (Re / I mg) in Figure 26. The phase difference ΔΦ is shown. In this figure, in contrast to Fig. 25, we can see that the phase difference ΔΦ decreases with the passage of time (straight-down straight line), and the phase of the NMR signal delays with the passage of time from the reference wave. it can.
[0240] 銅板に流す電流 j を一0. 80Aから + 0. 80Aとして、 0. 20A刻 みで実験した結果を図 28に示す。 この図の縦軸では、 1 msの間に変化す る NMR信号の位相差 ΔΦを 「N MR信号の周波数シフト量 Δω [ r a d / m s] 」 として定義して示した。 この 「周波数シフト量 Δω [ r a d/m s ] 」 は、 図 23、 図 25、 および図 27の 「位相差 ΔΦの傾き」 に相当し、 位相差 ΔΦのグラフを最小自乗法で直線近似して、 その勾配から算出した。 [0240] Fig. 28 shows the results of experiments conducted in increments of 0.20A with the current j flowing through the copper plate varied from 0.80A to + 0.80A. On the vertical axis of this figure, the phase difference ΔΦ of the NMR signal that changes in 1 ms is defined as “frequency shift amount of N MR signal Δω [rad / ms]”. This “frequency shift amount Δω [rad / ms]” corresponds to “slope of phase difference ΔΦ” in FIGS. 23, 25, and 27, and the graph of phase difference ΔΦ is linearly approximated by the method of least squares. It was calculated from the gradient.
[0241] このグラフより、 銅板に流した電流 j と周波数シフト量 Δω [ r a d/m s] は正比例の関係にあることが分かる。 この結果を用いれば、 シフト量△ ω [ r a d/ms] を計測することで銅板に流した電流 j を逆算することが できる。 [0241] From this graph, it can be seen that the current j flowing in the copper plate and the frequency shift amount Δω [rad / ms] are in direct proportion. By using this result, the current j flowing through the copper plate can be calculated backward by measuring the shift amount Δω [rad / ms].
[0242] N MR信号の周波数を時間の経過に従って増減させる要因は、 銅板に流す 電流 jのみではなく、 永久磁石の場合には磁場強度の増減もある。 永久磁石 の温度が増減すれば、 それに反比例するように、 磁場強度も増減する。 この ため、 周波数シフトの計測には、 時間的に安定した磁場が必要である。 [0242] N The factor that increases or decreases the MR signal frequency over time is not only the current j flowing through the copper plate, but also the increase or decrease in magnetic field strength in the case of permanent magnets. If the temperature of the permanent magnet increases or decreases, the magnetic field strength also increases or decreases in inverse proportion to it. For this reason, a time-stable magnetic field is required for frequency shift measurement.
[0243] しかし、 永久磁石は熱容量が大きく、 急激な温度変化による周波数変化は [0243] However, the permanent magnet has a large heat capacity, and the frequency change due to a sudden temperature change
1分程度の時間であれば、 無視できる。 このため、 NMR信号の周波数シフ ト量を精度良く計測するには、 電流がゼロの時の NMR信号を取得して、 そ の際の基準波との位相差 ΔΦ ( j =0) を予め求めておき、 その後 (本実験 では 10秒後) に、 電流 j を印加して、 電流が流れた時の位相差 ΔΦ ( j ) を 求めて、 電流により実質的に生じた位相差を ΔΦ ( j ) -ΔΦ ( j =0) で 求めれば良い。 燃料電池の計測では、 負荷を変えて、 電流を変化させたとき の位相差を計測すればよい。 この方法により、 位相差をより高精度で計測す ることができる。 If it takes about 1 minute, it can be ignored. For this reason, to accurately measure the frequency shift amount of the NMR signal, the NMR signal when the current is zero is acquired, and the phase difference ΔΦ (j = 0) from the reference wave at that time is obtained in advance. After that (after 10 seconds in this experiment), the current j is applied, the phase difference ΔΦ (j) when the current flows is obtained, and the phase difference substantially caused by the current is expressed as ΔΦ (j ) -ΔΦ (j = 0) In the measurement of a fuel cell, it is only necessary to measure the phase difference when the current is changed by changing the load. By this method, the phase difference can be measured with higher accuracy.
[0244] また、 この方法は、 基準波の周波数が N MR信号の真の共鳴周波数から少 しずれた状態に設定されてしまった場合にも、 引き算をすることで、 この 「 ずれ」 を相殺できる特徴がある。 [0244] In addition, this method can also be used by subtracting the frequency of the reference wave even if it is set to a state slightly deviated from the true resonance frequency of the N MR signal. There is a feature that can offset the “deviation”.
[0245] (実施例 2) [Example 2]
本実施例では、 ME A (Membrane Electrode Assembly) を用いた水電解運 転時の電流 j と周波数シフト量 ΔΦ ( j ) との関係を検証した。 In this example, the relationship between the current j and the frequency shift amount ΔΦ (j) during water electrolysis operation using ME A (Membrane Electrode Assembly) was verified.
1\1巳八は £1\1 (Polymer Electrolyte Membrane) に電極を接合したもの である。 ここで用いた ME Aは、 旭硝子社製の高分子電解質膜に、 アノード 側に P tと I rを、 カソ一ド側に P tを無電解めつきして製作した。 M E A の寸法は 1 7 mm X 1 5 mm角、 500;U m厚さである。 1 \ 1 巳 8 is a £ 1 \ 1 (Polymer Electrolyte Membrane) with electrodes joined. The ME A used here was manufactured by attaching Pt and Ir on the anode side and Pt on the cathode side electrolessly on a polymer electrolyte membrane manufactured by Asahi Glass. The dimensions of M E A are 17 mm x 15 mm square, 500; U m thick.
[0246] ME Aは標準化処理をして、 実験直前にイオン交換水から引き上げ、 適度 に水を拭き取った。 水電解運転直前の ME Aの T2 (CPMG) 緩和時定数か ら MEAの含水量は約 1 0 [H20/S03-H+] であった。 [0246] ME A was standardized, pulled up from the ion-exchanged water just before the experiment, and wiped off the water moderately. From the T 2 (CPMG) relaxation time constant of ME A just before water electrolysis operation, the water content of MEA was about 10 [H 2 0 / S 0 3 -H +].
[0247] 小型表面コイルと P t電極がついたポリ力一ポネィ トセルに ME Aを挟み 、 通電した。 両電極間に印加した電圧は 2〜3. 5Vで、 電流 j は 0. 1 0 〜0. 3 OAであった。 この通電で、 ME Aは P EM内に含まれる水を分解 し、 水素と酸素を放出する。 この実験では、 水電解中に水は供給していない (無加湿条件) 。 セルの温度は 24°Cであった。 [0247] ME A was sandwiched between a poly force single-point cell with a small surface coil and a Pt electrode, and power was applied. The voltage applied between the two electrodes was 2 to 3.5 V, and the current j was 0.10 to 0.3 OA. With this energization, ME A decomposes the water contained in the PEM and releases hydrogen and oxygen. In this experiment, water was not supplied during water electrolysis (no humidification condition). The cell temperature was 24 ° C.
[0248] MEAに電流 j を 0. 30 A流した時に計測されたエコー信号を図 29に 、 これを基に計算した位相差 ΔΦを図 30に示す。 図 29および図 30より 、 ME Aから取得されたエコー信号では、 位相差が時間と共に僅かであるが 、 進んでいくことが分かる。 [0248] Fig. 29 shows the echo signal measured when 0.30 A of current j is passed through the MEA, and Fig. 30 shows the phase difference ΔΦ calculated based on this echo signal. From FIG. 29 and FIG. 30, it can be seen that the echo signal acquired from ME A progresses although the phase difference is slight with time.
[0249] 1\!£八に流す電流】 を0. 0八から+ 0. 3 OAとして、 0. 1 0 A刻み で実験し、 MEAに流した電流 j と周波数シフト量 Δω [ r a d/m s] の 関係を図 31に示す。 この結果の整理の方法は図 28と同じである。 [0249] The current flowing in 1 \! £ 8] was set to 0.08 to +0.3 OA, and the experiment was performed in increments of 0.10 A. The current j and the frequency shift Δω [rad / ms Figure 31 shows the relationship. The method of organizing the results is the same as in FIG.
[0250] 図 31より、 ME Aに流した電流 j と周波数シフト量 Δω [ r a d/m s ] はほぼ正比例の関係にあることが分かる。 この結果を用いれば、 シフト量 △ ω [ r a d/m s] を計測することで M E Aに流した電流 j を逆算するこ とができる。 [0250] From FIG. 31, it can be seen that the current j flowing through ME A and the frequency shift amount Δω [r a d / m s] are almost in direct proportion. Using this result, the current j flowing through M EA can be calculated backwards by measuring the shift amount ∆ω [rad / ms].
[0251] なお、 図 28と図 31を比較すると、 同じ電流 j を流しても、 銅板の場合 と ME Aの場合ではその周波数シフト量が約 4分の 1程度に小さいことが分 かる。 この理由は、 銅板を通電する場合には、 電流は一様に流れていると考 えられるが、 ME Aでは表面にめっきされた P t触媒電極、 (P t + I r ) 触媒電極の電気伝導率が不均一であるために、 電流は一様に流れていないと 推測される。 このため、 MEAの電流が小さい部分を小型表面コイルが計測 しており、 周波数シフト量が小さくなつたと推察される。 [0251] Note that comparing Fig. 28 and Fig. 31, the same current j is applied to the copper plate. It can be seen that the frequency shift amount is as small as about a quarter in the case of MEA and MEA. The reason for this is that when the copper plate is energized, the current flows uniformly, but in ME A, the Pt catalyst electrode plated on the surface and the (P t + I r) catalyst electrode Since the conductivity is non-uniform, it is assumed that the current does not flow uniformly. For this reason, the small surface coil measures the part where the current of the MEA is small, and it is assumed that the amount of frequency shift has decreased.
[0252] この計測方法の計測精度をさらに向上させる方法としては、 均一な電気伝 導率の MEAを使用して、 電流と周波数シフト量を計測し、 校正曲線を作成 する方法が挙げられる。 また、 複数の小型表面コイルを ME Aの複数の位置 に設置して、 周波数シフト量の面内分布を計測し、 これを基に電流分布を逆 問題として解くことでより正確な電流分布を取得してもよい。 [0252] As a method of further improving the measurement accuracy of this measurement method, there is a method of creating a calibration curve by measuring current and frequency shift amount using MEA with uniform electrical conductivity. In addition, multiple small surface coils are installed at multiple locations on the ME A, and the in-plane distribution of the frequency shift amount is measured. Based on this, the current distribution is solved as an inverse problem to obtain a more accurate current distribution. May be.
[0253] (実施例 3) [Example 3]
本実施例では、 近接した領域に 2つの小型コイルを配置して測定を行った 際に、 それぞれの領域に対応した周波数シフト量が測定され、 それぞれの領 域に対応した電流値が測定可能であることを確認した。 In this example, when two small coils are placed in adjacent areas and measured, the frequency shift amount corresponding to each area is measured, and the current value corresponding to each area can be measured. I confirmed that there was.
[0254] 具体的には、 二つの小型 R Fコイルを用い、 二つの銅板の上に置かれた水 試料の N M Rを計測した。 この際、 二つの銅板に流す電流値 、 I 2を個別に 変え、 二つのコイルで同時に取得した N MR信号の周波数シフト量 Δωが電 流値 I I 2とどのような関係にあるかを実験的に求めた。 [0254] Specifically, two small RF coils were used to measure the NMR of a water sample placed on two copper plates. At this time, the current values I 2 flowing through the two copper plates were changed individually, and the relationship between the frequency shift Δω of the N MR signal acquired simultaneously by the two coils and the current value II 2 was experimentally determined. Asked.
[0255] 装置の全体概要を図 32に示す。 計測対象の水が 2枚のカバ一ガラス (1 5 mm X 1 5 mm) に挟まれ、 0. 5 m mの厚さで密封されている。 その下 に 2枚の銅板が密着して置かれ、 それらの寸法は 1 9mmX 9mmである。 銅板はそれぞれ定電流電源につながれており、 個別に電流量 、 12 (図中 、 j 2) を制御することができる。 [0255] Figure 32 shows an overview of the entire system. The water to be measured is sandwiched between two glass covers (15 mm x 15 mm) and sealed to a thickness of 0.5 mm. Below that, two copper plates are placed in close contact, and their dimensions are 19 mm x 9 mm. Each copper plate is connected to a constant current power source, and can individually control the current amount, 1 2 (j 2 in the figure).
[0256] 試料の上には直径 1. 3mm、 3回巻きの小型表面コイルが 2つ置かれ、 二つのコイルの中心間隔は 6 mmである。 二つのコイルは共に試料に密着し ている。 これらを 1 T e s I aの永久磁石内に挿入し、 二つのコイルで同時 に励起パルスを照射して、 同時に N M R信号を取得した。 [0257] 本実施例で用いたコイルや装置を図 33 (a) 〜図 33 (c) に示す。 図 33 (a) は、 本実施例で用いた小型表面コイルを示す図である。 図 33 ( b) は、 本実施例で用いた一組のポリカーポネイ ト製ホルダーを示す図であ る。 また、 図 33 (c) は、 本実施例で用いた R Fコイルホルダ一を示す図 である。 [0256] Two small surface coils with a diameter of 1.3 mm and three turns were placed on the sample, and the center distance between the two coils was 6 mm. Both coils are in close contact with the sample. These were inserted into a 1 Tes Ia permanent magnet, and two coils were irradiated with excitation pulses simultaneously, and NMR signals were acquired simultaneously. [0257] The coils and devices used in this example are shown in FIGS. 33 (a) to 33 (c). FIG. 33 (a) is a diagram showing a small surface coil used in this example. FIG. 33 (b) is a diagram showing a pair of polycarbonate holders used in this example. FIG. 33 (c) is a diagram showing an RF coil holder used in this example.
[0258] また、 図 34は、 永久磁石が試料に印加している静磁場 HQと、 銅板に電流 を流して作られる磁場 の方向を示す図である。 銅板に正の方向 (図中矢印 の方向) に電流 、 I 2が流れれば、 静磁場 H。と同じ方向の磁場 H』が試料に 印加され、 周波数シフト量 Δωは増加する。 FIG. 34 is a diagram showing the static magnetic field H Q applied to the sample by the permanent magnet and the direction of the magnetic field created by passing a current through the copper plate. If current I 2 flows in the positive direction (in the direction of the arrow in the figure) through the copper plate, static magnetic field H. Is applied to the sample, and the frequency shift Δω increases.
[0259] この際、 電流 I ,を流すことで、 小型コイル 1よりも離れた位置にある小型 コイル 2の周囲にも弱い磁場が形成され、 小型コイル 2の周波数も若干だけ シフトする。 同様に、 電流 12を流せば、 小型コイル 1の周囲に弱い磁場がで きて、 周波数がシフトする。 このように、 電流によって形成される磁場は、 電流が流れている銅板の周囲だけでなく、 離れた位置にある小型表面コイル でも周波数をシフトさせうる。 そこで、 図 32に示した寸法でコイルが置か れた時、 電流 、 I 2と周波数シフト量とがどのような関係にあるのかを把握 し、 周波数シフト量を計測することで、 電流 、 12が逆算できるかどうかを 検証する必要がある。 [0259] At this time, by passing the current I, a weak magnetic field is also formed around the small coil 2 at a position farther from the small coil 1, and the frequency of the small coil 2 is slightly shifted. Similarly, if a current 1 2 is applied, a weak magnetic field is generated around the small coil 1 and the frequency shifts. In this way, the magnetic field formed by the current can shift the frequency not only around the copper plate through which the current flows, but also at a small surface coil at a remote location. Therefore, when the coil is placed with the dimensions shown in Fig. 32, the relationship between the current, I 2 and the frequency shift amount is grasped, and the frequency shift amount is measured, so that the current, 1 2 It is necessary to verify whether can be calculated backward.
そこで、 電流 、 I 2をそれぞれ独立に変えて N MR信号を取得し、 周波数 シフト量 Δωが電流 I ,、 I 2によってどのような依存性を持つのかを計測した Therefore, N MR signal was obtained by changing current and I 2 independently, and the dependence of frequency shift amount Δω on currents I and I 2 was measured.
[0260] 本実施例で用いた NMR信号の計測パルスシーケンスと、 周波数シフト量 の算出方法は、 実施例 1の方法に準じた。 [0260] The NMR signal measurement pulse sequence and the frequency shift amount calculation method used in this example were in accordance with the method of Example 1.
[0261] (電流 I2=0. OAの際の電流 と二つのコイルでの周波数シフト量) [0261] (Current I 2 = 0. Current at OA and frequency shift in two coils)
電流 I 2=0. OAとした場合に、 電流 を 0. 2 A刻みで変えて計測した 二つのコイルでの周波数シフト量を図 35に示す。 この結果より、 コイル 1 の周波数シフト量は電流 I ,に正比例し、 一定の正の勾配で増加することが分 かる。 一方、 コイル 2の周波数シフト量は電流 I ,と逆比例し、 一定の負の勾 配で減少し、 その勾配の大きさはコイル 1の勾配よりも小さな値であること が分かる。 この結果は、 コイル 2から遠い位置にある電流 I ,に対しても周波 数シフトを生じるが、 コイル 2の周波数シフト量は 「鈍感である」 と言える Figure 35 shows the frequency shift of the two coils measured with the current I 2 = 0. OA and changing the current in increments of 0.2 A. From this result, it can be seen that the frequency shift amount of coil 1 is directly proportional to the current I, and increases with a constant positive slope. On the other hand, the frequency shift amount of the coil 2 is inversely proportional to the current I, and a constant negative slope. It can be seen that the gradient magnitude is smaller than that of coil 1. This result shows that a frequency shift occurs even with respect to the current I, which is far from the coil 2, but the frequency shift amount of the coil 2 is "insensitive".
[0262] (電流 I 2=0. 4 Aの際の電流 I ,と二つのコイルでの周波数シフト量) 次に、 電流 12を 0. 4 Aとした場合に、 コイル 1 と 2での周波数シフトが どのようになるかを計測した。 電流 I ,を 0. 2 A刻みで変えて計測した二つ のコイルでの周波数シフト量を図 36に示す。 この結果より、 コイル 1の周 波数シフト量は、 図 35とほぼ等しい結果となり、 電流 I ,に正比例し、 その 勾配は図 35と同じであるが、 グラフでは、 0. 7だけ下にずれた直線とな つている。 つまり、 周波数シフトの絶対値は約 0. 7 r a d/m sだけ小さ な値となった。 一方、 コイル 2の周波数シフト量は、 図 35に比べて、 約 3 . 92 r a d/m sだけ大きな値となっているが、 電流 I ,と逆比例し、 その 勾配が負で、 しかもその勾配がほぼ同じあることが分かる。 このコイル 2の 周波数シフト量は、 図 35での電流 1 ,= 0. 4 Aでのコイル 1の周波数シフ ト量 (4. 02 r a d/m s) にほぼ等しい。 [0262] (Current I 2 at current I 2 = 0.4 A and frequency shift amount in two coils) Next, when current 1 2 is set to 0.4 A, We measured the frequency shift. Figure 36 shows the frequency shift of the two coils measured by changing the current I in steps of 0.2 A. From this result, the frequency shift amount of the coil 1 is almost the same as that in Fig. 35, and is directly proportional to the current I, and the gradient is the same as in Fig. 35, but in the graph, it is shifted downward by 0.7. It is a straight line. In other words, the absolute value of the frequency shift was reduced by about 0.7 rad / ms. On the other hand, the frequency shift amount of coil 2 is about 3.92 rad / ms larger than that in Fig. 35, but it is inversely proportional to current I, its slope is negative, and its slope is You can see that they are almost the same. The frequency shift amount of coil 2 is almost equal to the frequency shift amount (4.02 rad / ms) of coil 1 at current 1, = 0.4 A in Fig. 35.
[0263] この結果から、 電流 I 2を流したことで、 コイル 1の周波数シフトは 0. 7 r a d/m sだけ小さく、 コイル 2の周波数シフト量は約 3. 92 r a d / m sだけ大きくなつたと言える。 それ以外の相違はない。 [0263] From this result, it can be said that the frequency shift of coil 1 was reduced by 0.7 rad / ms, and the frequency shift amount of coil 2 was increased by about 3.92 rad / ms by applying the current I 2. . There is no other difference.
[0264] (電流 12=_0. 4 Aの際の電流 I ,と二つのコイルでの周波数シフト量) 次に、 電流 12を負の値、 _0. 4Aとした場合に、 コイル 1 と 2での周波数 シフトがどのようになるかを計測した。 図 36と同様に、 電流 を 0. 2 A刻 みで変えて計測した二つのコイルでの周波数シフト量を図 37に示す。 [0264] (Current I 2 at current 1 2 = _0.4 A and frequency shift amount in two coils) Next, when current 1 2 is a negative value and _0.4 A, coil 1 and The frequency shift at 2 was measured. As in Fig. 36, Fig. 37 shows the frequency shift of the two coils measured by changing the current in increments of 0.2 A.
[0265] この結果は、 図 36で見られた上下のズレが逆になつただけである。 _0 . 4 Aの電流 I 2を流したことで、 コイル 1の周波数シフトは 0. 7 r a d/ m sだけ大きく、 コイル 2の周波数シフト量は約 3. 8 r a d/m sだけ小 さくなつたことが分かる。 それ以外の相違はない。 [0265] This result is the only difference between the vertical shifts seen in Figure 36. When the current I 2 of _0.4 A was passed, the frequency shift of coil 1 was increased by 0.7 rad / ms, and the frequency shift amount of coil 2 was decreased by about 3.8 rad / ms. I understand. There is no other difference.
[0266] (電流 =0. OAの際の電流 I 2と二つのコイルでの周波数シフト量) 今度は、 電流 I ,をゼロとし、 電流 I 2を 0 . 4 A刻みで変えて計測した。 二 つのコイルでの周波数シフト量を図 3 8に示す。 [0266] (Current = 0. Current I 2 at the time of OA and frequency shift amount in two coils) Now, with current I, the zero was measured by changing the current I 2 at 0. 4 A increments. Figure 38 shows the frequency shift amount between the two coils.
銅板の形状は 1、 2で対称であり、 コイル 1、 2の位置もポリ力一ポネィ ト セルの中心軸から等しい距離にあるため、 計測結果 (図 3 8 ) は図 3 5のコ ィル 1 と 2を入れ替えた結果と一致する。 The shape of the copper plate is symmetric between 1 and 2, and the positions of coils 1 and 2 are the same distance from the central axis of the poly force cell. Therefore, the measurement results (Fig. 3 8) are shown in Fig. 3 Matches the result of swapping 1 and 2.
[0267] (電流 = 0 . 4 Aの際の電流 I 2と二つのコイルでの周波数シフト量) 次に、 電流 = 0 . 4 Aとし、 電流 I 2を 0 . 4 A刻みで変えて計測した。 二つのコイルでの周波数シフト量を図 3 9に示す。 この計測結果 (図 3 9 ) も図 3 6のコイル 1 と 2を入れ替えた結果と一致する。 [0267] (Current I 2 when current = 0.4 A and frequency shift amount between two coils) Next, measure current = 0.4 A and change current I 2 in increments of 0.4 A. did. Figure 39 shows the frequency shift between the two coils. This measurement result (Fig. 39) is also consistent with the result of replacing coils 1 and 2 in Fig. 36.
[0268] (電流 ^ =—0 . 4 Aの際の電流 I 2と二つのコイルでの周波数シフト量) 次に、 電流 I ,を負の一 0 . 4 Aとし、 電流 l 2を 0 . 4 A刻みで変えて計測 した。 二つのコイルでの周波数シフト量を図 4 0に示す。 この計測結果 (図 4 0 ) も図 3 7のコイル 1 と 2を入れ替えた結果と一致する。 [0268] (Current ^ 2 at the time of current ^ = -0.4 A and frequency shift amount in two coils) Next, the current I is set to negative 0.4 A, and the current l 2 is set to 0. Changed by 4 A increments and measured. Figure 40 shows the frequency shift between the two coils. This measurement result (Fig. 40) also agrees with the result of replacing coils 1 and 2 in Fig. 37.
[0269] (周波数シフト量から電流量の換算方法) [0269] (Conversion method of current amount from frequency shift amount)
以上の実験結果から、 一つの試料に複数のコイルを配置した際に、 それぞ れの領域に対応した周波数シフト量が測定され、 それぞれのコイルにおける 周波数シフト量から、 電流分布の逆算が可能であることがわかる。 From the above experimental results, when multiple coils are placed on one sample, the frequency shift amount corresponding to each region is measured, and the current distribution can be calculated backward from the frequency shift amount in each coil. I know that there is.
なお、 計測対象に電流分布があり、 複数個所の小型表面コイルを用いて N M R信号の周波数シフト量から電流量を換算する方法は、 以下の二通りがあ ると考える。 It should be noted that there are current distributions in the measurement target, and there are the following two methods for converting the current amount from the frequency shift amount of the NMR signal using multiple small surface coils.
( i ) 第ゼロ近似として 「周波数シフト量はコイルが置かれた近傍の電流量 に比例する」 と見なして算出する方法 (i) Calculation method based on the assumption that the frequency shift amount is proportional to the current amount near the coil
( i i ) 電流分布を仮定し、 電流と磁場の関係 (ビォ "サバールの法則) を 用いて、 複数個所の周波数シフト量がすべてつじつまの合うように電流分布 を 「逆問題」 として解く方法 (i i) A method of solving the current distribution as an "inverse problem" by assuming the current distribution and using the relationship between the current and the magnetic field (Bio "Savar's Law) so that the frequency shifts at multiple locations are all consistent.
[0270] 上記 ( i ) は、 上記の計測結果から、 コイル近くの電流量に周波数シフト 量が強く依存することを利用する方法である。 [0270] The above (i) is a method using the fact that the frequency shift amount strongly depends on the current amount near the coil from the above measurement result.
また、 上記 ( i i ) において逆問題を解く際には、 全電流量の値、 たとえ ば、 I ,+ I 2が必要であるが、 これは容易に計測できる。 この方法によれば、 より一層正確な電流分布の算出が期待できる。 Also, when solving the inverse problem in (ii) above, the total current value, for example, For example, I and + I 2 are required, but this can be easily measured. According to this method, a more accurate calculation of the current distribution can be expected.
[0271] (実施例 4) [Example 4]
上述した実施例 3では、 スピンエコー法を用いて 2つの小型コイルを配置 した時の電流値を測定した。 具体的には、 ある時間間隔でのエコー信号の位 相変化量 (周波数シフト量 Δωと同等) から電流を求めていた。 In Example 3 described above, the current value was measured when two small coils were placed using the spin echo method. Specifically, the current was obtained from the amount of phase change of the echo signal (equivalent to the frequency shift Δω) at a certain time interval.
[0272] し力、し、 NMR信号はエコー信号に限るわけではなく、 F I D信号からで あっても、 全く同様な方法により、 電流を計測することができる。 [0272] The NMR signal is not limited to the echo signal, and the current can be measured by the same method even from the F ID signal.
[0273] そこで、 本実施例では、 2つの小型コイルを配置した時の電流値を F I D 信号により測定できることを確認した。 [0273] Thus, in this example, it was confirmed that the current value when two small coils were arranged could be measured by the F I D signal.
[0274] 本実施例においても、 実施例 3と同様に、 図 32および図 34を参照して 前述した装置を用いた。 [0274] Also in this example, as in Example 3, the apparatus described above with reference to Figs. 32 and 34 was used.
[0275] なお、 本実施例では、 図 32および図 34中左側の銅板にのみ電流量 I ιを 流し、 もう一方の右側の銅板には電流を流さない状態 (電流量 I 2=0) で計 測を行った。 そして、 電流 12をゼロとし、 電流値 I のみを変えて N MR信号 (F I D) を取得し、 周波数シフト量 Δωが電流 によってどのような依存 性を持つのかを計測した。 In this embodiment, the current amount I ι is supplied only to the left copper plate in FIGS. 32 and 34 and no current is supplied to the other right copper plate (current amount I 2 = 0). Measurements were taken. Then, the current 1 2 to zero, to get the N MR signal (FID) by changing only the current value I, the frequency shift amount Δω is measured whether with any dependency by the current.
[0276] 本実施例で用いた N MR信号の計測パルスシーケンスでは、 40 3の幅 を持つ矩形波状の励起パルスを 1 0秒間に 1度照射し、 その励起パルスの強 度は磁化べク トルを 90度だけ励起するように調整されている。 [0276] In the N MR signal measurement pulse sequence used in this example, a rectangular wave-shaped excitation pulse having a width of 40 3 was irradiated once every 10 seconds, and the intensity of the excitation pulse was determined by the magnetization vector. Is adjusted to excite only 90 degrees.
以下、 図中左側の小型表面コイル 1で取得した F I D信号の解析結果を示 す。 The analysis results of the F ID signal obtained with the small surface coil 1 on the left side of the figure are shown below.
[0277] (電流 =0. OAの際の F I D波形と位相の変化量 (周波数シフト量) ) 電流 Ι ,= 0. OAの際に取得された F I D波形を図 42に示す。 この際の F I Dは、 T2*緩和時定数によって減衰する波形を示す。 F I Dは横軸の t i m e = 2 Om sまで有意に観測できていることが分かる。 [0277] (Current = 0. FID waveform and phase change when OA (frequency shift)) Current ,, = 0. Fig. 42 shows the FID waveform obtained when OA. The FID at this time shows a waveform that decays with the T 2 * relaxation time constant. It can be seen that FID can be observed significantly up to time = 2 Oms on the horizontal axis.
[0278] 図 42を基に、 a r c t a n (Re a l / I ma g i n a r y) を算出し て得られた F I Dの位相を図 43に示す。 t i m e = 1 5msまでの F I D からは、 位相がそれほど分散することなく算出できることが分かる。 [0278] Based on Fig. 42, Fig. 43 shows the phase of the FID obtained by calculating arctan (Real / Imaginary). time = 1 FID up to 5ms It can be seen that the phase can be calculated without much dispersion.
[0279] また、 図 43を基にして、 F I Dの位相 (5点の平均値) の時間経過を横 軸の 5. 4m sから 8. 3 m sまで図示したものが図 44である。 図 44よ り、 電流 = 0. O Aでは、 位相は時間に対してほとんど一定の値をとるこ とがわかる。 In addition, FIG. 44 shows the time course of the F ID phase (average value of 5 points) from 5.4 ms to 8.3 ms on the horizontal axis based on FIG. From Fig. 44, it can be seen that at current = 0. O A, the phase is almost constant over time.
[0280] (電流 = 0. 4 O Aの際の F I D波形と位相の変化量 (周波数シフト量) [0280] (F I D waveform and phase change when current = 0.4 O A (frequency shift)
) )
電流 = 0. 4 O Aの際に取得された F I D波形を図 45に示す。 この場合 に観測される F I Dは、 電流を流したことにより静磁場の不均一性が強くな り、 横軸が t i m e = 1 2 m s辺りでほとんど信号が見えなくなる。 これよ り、 図 42に比べて、 図 45の F I Dはより短い T2*緩和時定数によって減衰 する波形となる。 Figure 45 shows the FID waveform obtained when the current = 0.4 OA. In the FID observed in this case, the non-uniformity of the static magnetic field becomes stronger due to the current flow, and the signal is almost invisible when the horizontal axis is around time = 12 ms. Thus, compared to Fig. 42, the FID in Fig. 45 has a waveform that decays with a shorter T 2 * relaxation time constant.
[0281] 図 45を基に、 a r c t a n (R e a l / I m a g i n a r y) を算出し て得られた F I Dの位相を図 46に示す。 図 46を見ると、 t i m e = 1 0 m sあたりまでは位相が有意に計算できているが、 それ以降の位相は分散が 大きく、 有意な位相が算出できているとは言えない。 電流を流すことにより 、 静磁場の不均一性が増し、 F I D信号が強く観測できる時間が短くなつて いることが分かる。 FIG. 46 shows the phase of F I D obtained by calculating a r c t a n (R e a l / I m a g i n a r y) based on FIG. Looking at Fig. 46, the phase can be calculated significantly up to around t i m e = 10 ms, but the phase after that has a large variance, and it cannot be said that a significant phase can be calculated. It can be seen that the non-uniformity of the static magnetic field is increased by passing an electric current, and the time during which the FID signal can be observed strongly is shortened.
[0282] F I D信号とエコー信号で観測し、 位相変化量を算出する際の相違は以下 の点にある。 すなわち、 F I Dでは T2*緩和時定数の増減によって 「位相が有 意に算出できる N MR信号の観測時間が電流量によって増減」 し、 一方、 ェ コ一信号の場合には、 それがほぼ一定である。 得られた N MR信号を解析す る観点からは、 エコー信号のように 「位相が解析できるような N MR信号が 観測できている時間が一定である」 方が好ましい。 [0282] The difference in calculating the amount of phase change observed with FID and echo signals is as follows. That is, in the FID, the T 2 * relaxation time constant increases or decreases, and the observation time of the N MR signal whose phase can be calculated is increased or decreased by the amount of current. On the other hand, in the case of an echo signal, it is almost constant. It is. From the viewpoint of analyzing the obtained N MR signal, it is preferable that “the time during which the N MR signal can be analyzed so that the phase can be analyzed is constant” like the echo signal.
[0283] 図 46を基にして、 電流 I ,= 0. 4 O Aの際の F I D波形の位相の変化量 を図 47に示す。 図 44に示した電流 I ,= 0. O Aの位相の変化に比較して 、 図 47では位相の変化量の勾配が大きくなつていることが分かる。 [0283] Based on Fig. 46, Fig. 47 shows the amount of change in the phase of the F I D waveform when current I, = 0.4 O A. Compared to the phase change of the current I, = 0.OA shown in FIG. 44, it can be seen that the gradient of the phase change amount is larger in FIG.
[0284] 図 43と図 46を基にして、 実施例 1の方法に準じて F I Dの位相の時間 経過から 「ある時間の間で位相が変化する量 (周波数シフト量 Δω) 」 を算 出した。 電流 1 ,= 0. 4 OAの際の F I D波形から算出された 「ある時間間 隔での位相の変化量」 つまり Δωは 4. 1 7 r a d/msであった。 [0284] Based on Fig. 43 and Fig. 46, FID phase time according to the method of Example 1 From the elapsed time, we calculated the “amount of phase change over a period of time (frequency shift Δω)”. “Phase change at a certain time interval” calculated from the FID waveform for current 1 = 0.4 OA, that is, Δω was 4. 17 rad / ms.
[0285] (電流 =0. 8 OAの際の F I D波形と位相の変化量 (周波数シフト量)[0285] (Current = 0.8 8 F I D waveform and phase change when OA (frequency shift)
) )
電流 を 0. 8 OAに増加させた際に取得された F I D波形を図 48に示 す。 この場合に観測される F I Dは、 さらに大きい電流を流したことにより 静磁場の不均一性がより一層強くなり、 横軸が t i m e = 9 m s辺りでほと んど信号が見えなくなる。 これより、 図 42や図 45に比べて、 図 48の F I Dはより短い T2*緩和時定数によって減衰する波形となる。 Figure 48 shows the FID waveform obtained when the current was increased to 0.8 OA. In the FID observed in this case, the non-uniformity of the static magnetic field becomes even stronger due to the flow of a larger current, and almost no signal is visible when the horizontal axis is around time = 9 ms. Thus, the FID in Fig. 48 has a waveform that decays with a shorter T 2 * relaxation time constant compared to Figs. 42 and 45.
[0286] また、 先の方法と同様に、 図 48を基に a r c t a n (Re a l / I ma g i n a r y ) を算出して得られた F I Dの位相を図 49に示す。 図 49で は、 t i me = 8. 5m s程度までしか位相が有意に計算できないことが分 かる。 それ以降の位相は分散が大きく、 有意な位相が算出できていない。 Similarly to the previous method, FIG. 49 shows the phase of F ID obtained by calculating arctan (Real / Imaginary) based on FIG. In Fig. 49, it can be seen that the phase can only be calculated significantly up to t i me = 8.5 ms. The phase after that has a large variance, and a significant phase cannot be calculated.
[0287] 図 49を基にして、 電流 I ,= 0. 8 OAの際の F I D波形の位相の変化量 を図 50に示す。 図 44および図 47の位相の変化量に比較して、 図 50で は位相の変化量の勾配が大きくなつていることが分かる。 Based on FIG. 49, FIG. 50 shows the amount of change in the phase of the F I D waveform when the current is I, = 0.8 OA. Compared to the phase change in FIGS. 44 and 47, it can be seen that the slope of the phase change is larger in FIG.
[0288] 図 50の F I Dの位相の時間経過を基にして、 電流 I ,= 0. 80Aの際の [0288] Based on the time lapse of the phase of F ID in Fig. 50, the current I, = 0.80A
F I D波形から算出された 「ある時間間隔での位相の変化量」 つまり Δωは 8. 01 r a d/msであった。 The “phase change at a certain time interval” calculated from the F I D waveform, that is, Δω was 8.01 r a d / ms.
[0289] (電流 ^ =—0. 4 OAの際の F I D波形と位相の変化量 (周波数シフト量 ) ) [0289] (Current ^ = —0. 4 F I D waveform and amount of phase change at OA (frequency shift))
次に、 電流を流す方向を逆にして、 電流 =_0. 4 OAの際に取得され た F I D波形を図 51に示す。 この場合に観測される F I Dは、 電流が逆方 向に流れ、 磁場方向が逆になつたことで、 Re a l と I ma g i n a r y波 形の進行が、 図 45と比べて、 逆転していることが分かる。 Next, Fig. 51 shows the F I D waveform obtained when the direction of current flow is reversed and when current = _0.4 OA. The observed FID shows that the current flows in the opposite direction and the direction of the magnetic field is reversed, so that the progression of the Real and I magnary waveforms is reversed compared to Fig. 45. I understand.
[0290] 図 51を基に、 a r c t a n (Re a l / I ma g i n a r y) を算出し て得られた F I Dの位相を図 52に示す。 この図では、 位相が時間と共に後 退 (負の勾配で進行) していくことが分かる。 [0290] Based on Fig. 51, Fig. 52 shows the phase of the FID obtained by calculating arctan (Real / Imaginary). In this figure, the phase It can be seen that the retreat (progress with a negative slope).
[0291 ] 図 5 2を基にして、 電流 I , =—0 . 4 O Aの際の F I D波形の位相の変化 量を図 5 3に示す。 図 4 7の電流 = 0 . 4 0 Aの位相の変化量の勾配が正 で進行していくのに比較して、 図 5 3では位相の変化量の勾配が負になって いることが分かる。 [0291] Based on Fig. 52, Fig. 53 shows the amount of change in the phase of the F I D waveform when the current is I, = –0.4 O A. Compared to the fact that the slope of the phase change amount of current = 0.40 A in Fig. 47 is positive, the slope of the phase change amount is negative in Fig. 53. .
[0292] 図 5 3の F I Dの位相の時間経過を基にして、 電流 I , =—0 . 4 0 Aの際 の F I D波形から算出された 「ある時間間隔での位相の変化量」 つまり Δ ω は一4 . 1 9 r a d sであった。 [0292] Based on the time course of the FID phase in Fig. 5 3, the “phase change amount at a certain time interval” calculated from the FID waveform at the current I, = —0.40 A, that is, Δ ω was 4.19 rads.
[0293] (電流 I ,と 「ある時間間隔での位相の変化量 (周波数シフト量) 」 の関係) 電流 I 2= 0 . O Aとした場合に、 電流 I ,を 0 . 2 A刻みで変えて計測した 小型表面コイル 1での周波数シフト量を図 5 4に示す。 この結果より、 コィ ル 1の周波数シフト量は電流 I ,に正比例していることが分かる。 [0293] (Relationship between current I and “phase change amount (frequency shift amount) at a certain time interval”) When current I 2 = 0.2A, current I is changed in increments of 0.2 A Figure 54 shows the amount of frequency shift in the small surface coil 1 measured in this way. From this result, it can be seen that the frequency shift amount of coil 1 is directly proportional to the current I.
[0294] また、 本実施例および実施例 3の結果より、 電流による 「ある時間間隔で の位相の変化量 (周波数シフト量) 」 は、 電流値に対して F I Dでもエコー 信号でもほぼ同じ変化量となることが分かる。 [0294] From the results of this example and example 3, the “phase change amount at a certain time interval (frequency shift amount)” due to the current is almost the same change amount for the FID and echo signal with respect to the current value. It turns out that it becomes.
具体的には、 図 3 5のコイル 1での周波数シフト量と図 5 4のそれとを比 較すれば、 両者の直線はほぼ同じ勾配で、 縦軸との交点の値も同じであるこ とが分かる。 これより、 F I Dであっても、 エコー信号であっても、 電流に 対する周波数シフト量はほぼ同じであり、 どちらか一方の方法で電流と周波 数シフト量との関係式 (校正式) を作成しておけば、 方法に区別なく、 周波 数シフト量から電流値を算出する際に用いることができる。 Specifically, if the frequency shift amount in coil 1 in Fig. 35 is compared with that in Fig. 54, the straight lines of both are almost the same slope, and the value of the intersection with the vertical axis is also the same. I understand. As a result, the frequency shift amount with respect to the current is almost the same regardless of whether it is an FID or an echo signal, and the relational expression (calibration equation) between the current and the frequency shift amount is created by either method. If this is done, it can be used to calculate the current value from the frequency shift amount regardless of the method.
[0295] (実施例 5 ) [0295] (Example 5)
本実施例では、 一枚の銅板に電流を流した際に形成される磁場と、 それに よって生ずる N M R信号の周波数シフト量を解析した。 そして、 解析で得ら れた周波数シフト量と、 実測された周波数シフト量がよく一致していること を確認した。 In this example, the magnetic field formed when a current was passed through a single copper plate and the frequency shift amount of the NMR signal generated thereby were analyzed. Then, it was confirmed that the frequency shift obtained by the analysis and the measured frequency shift were in good agreement.
[0296] (実施例 5 _ 1 ) [0296] (Example 5 _ 1)
以下の方法で、 一枚の銅板に電流を流した際に形成される磁場と、 それに よって生ずる NMR信号の周波数シフト量を解析した。 なお、 試料は 'Hの水 とした。 In the following way, the magnetic field formed when a current is passed through a single copper plate, and Thus, the frequency shift amount of the resulting NMR signal was analyzed. The sample was' H water.
[0297] はじめに、 解析原理を説明する。 [0297] First, the analysis principle will be explained.
導電体に電流 Iが流れると、 ビォ■サバールの法則から導電体の周囲に磁 場 Hiが形成される。 その磁場強度は電流 Iに比例する。 この磁場を解析によ つて求める。 When the current I flows through the conductor, a magnetic field Hi is formed around the conductor according to Bio-Savart's law. Its magnetic field strength is proportional to the current I. This magnetic field is obtained by analysis.
[0298] NMR計測では、 磁石によって、 試料に静磁場 HQを印加する。 図 55は、 静磁場 H 0および後述する磁場 H iの方向を示す図である。 [0298] In NMR measurement, a static magnetic field H Q is applied to a sample by a magnet. FIG. 55 is a diagram showing directions of a static magnetic field H 0 and a magnetic field H i described later.
また、 導電体はその静磁場内に置かれ、 電流 I力 図 55中、 左から右に 流れるとする。 この電流により、 導電体の周囲には磁場 が形成される。 この結果、 試料に印加される磁場は、 磁石による静磁場 Hoと電流により形 成される Hiとの和となる。 Also, suppose that the conductor is placed in the static magnetic field and flows from left to right in Fig. 55. This current creates a magnetic field around the conductor. As a result, the magnetic field applied to the sample is the sum of the static magnetic field Ho by the magnet and Hi formed by the current.
[0299] さらに、 N MR信号の周波数 ω [H z] は、 次式のように、 磁場強度 H [ g a u s s] に比例する。 [0299] Furthermore, the frequency ω [H z] of the N MR signal is proportional to the magnetic field strength H [ga u s s], as shown in the following equation.
ω = H ω = H
= Ύ (Ho+Hi) = Ύ (Ho + Hi)
上記式中、 : Γは核磁気回転比 [H z/g a u s s] であり、 水素原子核1 Hの 場合には、 4260 H z/g a u s sである。 In the above formula, Γ is the nuclear gyromagnetic ratio [H z / gauss], and in the case of 1 H hydrogen nucleus, it is 4260 H z / gauss.
[0300] 上記式より、 本実施例では、 導電体に電流 Iが流れることによって増減す る磁場 Hiを、 周波数シフト量 Δω [H z] として求める。 [0300] From the above equation, in this embodiment, the magnetic field Hi that increases or decreases when the current I flows through the conductor is obtained as the frequency shift amount Δω [H z].
[0301] 図 56は、 本実施例の磁場解析における銅板、 R F検出コイルおよび水試 料の位置を示す斜視図である。 FIG. 56 is a perspective view showing the positions of the copper plate, RF detection coil, and water sample in the magnetic field analysis of this example.
図 56において、 導電体に流れる電流 Iが作る磁場 Hiは、 ビォ■サバール の法則に基づいて算出することができる。 具体的には、 導電体が真空中 (透 磁率が 4 π X 1 0- 7N/A2) に置かれた場合に、 導電体が位置 (xp, yp, zp In FIG. 56, the magnetic field Hi created by the current I flowing through the conductor can be calculated based on Bio-Savart's law. Specifically, when the conductor is placed in a vacuum (magnetic permeability is 4 π X 1 0- 7 N / A 2), conductors position (x p, y p, z p
) に作る磁場 Hi (xp, yp, zp) は、 下記式で表される。 なお、 図 57は、 下記式における座標系を示す図である。 The magnetic field Hi (x p , y p , z p ) created in) is expressed by the following equation. FIG. 57 is a diagram showing a coordinate system in the following equation.
[0302] [数 2] [0302] [Equation 2]
[0303] 上記式中の記号は、 それぞれ、 以下を示す。 [0303] The symbols in the above formulas represent the following, respectively.
Hi :位置 rでの磁場の強さ [A/m] (べク トル) Hi: Magnetic field strength at position r [A / m] (vector)
r :空間中の点 Pの位置 (xp, yp, zp) [m] (ベク トル) r: Position of point P in space (x p , y p , z p ) [m] (vector)
r ' : コイル上の点 Qの位置 (xq, yp, zp) [m] (ベク トル) r ': position of point Q on the coil (x q , y p , z p ) [m] (vector)
I :電流 [A] (スカラー) I: Current [A] (scalar)
t :電流が流れる方向を表す単位べク トル (銅板では一様に図中上向きであ る。 ) [―] (べク トル) t: Unit vector indicating the direction of current flow (The copper plate is uniformly upward in the figure.) [-] (vector)
[0304] また、 上記式の積分を実行する際には、 以下のような近似計算法を用いて 数値的に算出した。 [0304] Also, when performing the integration of the above equation, it was calculated numerically using the following approximate calculation method.
すなわち、 銅板は長方形であり、 電流は銅板内を一様に流れるとして、 銅 板を小さな要素に分割し、 その要素には等しく分割された電流量が流れると 仮定した。 具体的には、 点 Qの小さな要素があり、 その要素ごとに電流が流 れ、 それら複数の点 Qの要素が点 Pに磁場を作ることになる。 この点 Pの磁 場は、 上記式を用いて、 点 Qのすベての要素を積分することで計算した。 本解析では、 銅板の長手方向 (図 57中、 L方向) を均等に 64分割、 幅 方向 (図 57中、 W方向) を均等に 32分割した。 In other words, assuming that the copper plate is rectangular and the current flows uniformly in the copper plate, the copper plate is divided into small elements, and it is assumed that the current divided equally flows through the elements. Specifically, there is a small element at point Q, a current flows for each element, and these multiple elements at point Q create a magnetic field at point P. The magnetic field at point P was calculated by integrating all elements at point Q using the above equation. In this analysis, the longitudinal direction of the copper plate (L direction in Fig. 57) was equally divided into 64, and the width direction (W direction in Fig. 57) was equally divided into 32.
[0305] 以上の前提に基づき、 電流 I [A] が流れる際に、 銅板中心 (xp= Omm 、 yp=Omm) 上に形成される x方向の磁場 Hxの z方向分布を解析した。 [0305] Based on the above assumptions, we analyzed the z-direction distribution of the x-direction magnetic field H x formed on the copper plate center (x p = Omm, y p = Omm) when the current I [A] flows .
[0306] 図 58は、 解析結果を示す図である。 図 58では、 電流 Iを、 _ 1 [A] 、 -0. 5 [A] 、 0 [A] 、 0. 5 [A] および 1 [A] と変化させた際 の結果を示している。 また、 図 58において、 縦軸の周波数シフト量 Δωの 単位は、 [ r a d/ms] である。 さらに、 後述する実施例 5 _ 2の実験結 果と対照するため、 H zに 27Γを掛けて r a dに換算し、 sを 1 000で除 して msに換算した。 FIG. 58 shows the analysis results. Figure 58 shows the results when the current I is changed to _ 1 [A], -0.5 [A], 0 [A], 0.5 [A], and 1 [A]. In FIG. 58, the unit of the frequency shift amount Δω on the vertical axis is [rad / ms]. Furthermore, the experimental results of Example 5_2 described later In order to contrast with the results, H z was multiplied by 27Γ to convert to rad, and s was divided by 1 000 to convert to ms.
また、 図 58中に矢印で示した 「計測位置」 は、 RF検出コイルが計測す る水試料の位置であり、 zp=0. 45 mmである。 図 58より、 この位置の 周波数シフト量 Δωの分布はほとんど平らになっている。 銅板近傍は非常に 急峻な分布であるが、 銅板からわずかに離れるだけで、 その分布はほぼ平ら になっていることが分かる。 この平らな領域が計測領域となる。 この領域の 周波数シフト量 Δωが電流の大きさによって増減する。 この周波数シフト量 Δ ωを計測することで、 電流を逆算することができる。 The “measurement position” indicated by the arrow in FIG. 58 is the position of the water sample measured by the RF detection coil, and z p = 0.45 mm. From Fig. 58, the distribution of the frequency shift Δω at this position is almost flat. The distribution near the copper plate is very steep, but it can be seen that the distribution is almost flat just by moving slightly away from the copper plate. This flat area becomes the measurement area. The frequency shift Δω in this region increases or decreases with the magnitude of the current. By measuring this frequency shift amount Δω, the current can be calculated backward.
[0307] 図 59は、 R F検出コイルが計測する水試料の位置での周波数シフト量△ ωと電流 Iとの関係を示す図である。 図 59より、 両者の関係は正比例の関 係にあることがわかる。 また、 周波数シフト量 Δωから電流 Iが容易に換算 できることがわかる。 FIG. 59 is a diagram showing the relationship between the frequency shift amount Δω and the current I at the position of the water sample measured by the RF detection coil. From Fig. 59, it can be seen that the relationship between the two is directly proportional. It can also be seen that the current I can be easily converted from the frequency shift Δω.
[0308] (実施例 5 _ 2) [0308] (Example 5 _ 2)
本実施例では、 小型表面コイルを用いて周波数シフト量を計測し、 実施例 5- 1の結果と比較した。 In this example, the amount of frequency shift was measured using a small surface coil and compared with the result of Example 5-1.
[0309] 銅板、 RF検出コイル、 水試料 (純水) を、 図 55に示した位置関係とな るように配置して、 銅板に流れる電流 Iと周波数シフト量 Δωとの関係を計 測した。 [0309] A copper plate, an RF detection coil, and a water sample (pure water) were placed in the positional relationship shown in Fig. 55, and the relationship between the current I flowing through the copper plate and the frequency shift amount Δω was measured. .
なお、 小型表面コイルとして、 ポリウレタン皮膜の線径 5 O mの銅線を 用い、 これを外径 1. 3mmで渦巻状に 3回平面状に巻いて製作した。 図 6 0は、 本実施例で作製した小型表面コイルを示す図である。 As a small surface coil, a copper wire with a polyurethane film wire diameter of 5 Om was used, and it was manufactured by winding it three times in a spiral shape with an outer diameter of 1.3 mm. FIG. 60 is a diagram showing a small surface coil produced in this example.
N MR計測システムとしては、 ェム■アール■テクノロジ一社製のベース システムを高感度化して用いた。 また、 磁石は、 N EOMAX社製の磁場強 度 1. O T e s I a、 エアギャップ 45 mmの改良ハルバッハ型磁気回路を 用いた。 As the N MR measurement system, a base system manufactured by MRL Technology was used with high sensitivity. The magnet used was a modified Halbach magnetic circuit with a magnetic field strength of 1. O Tes Ia and an air gap of 45 mm manufactured by Neomax.
[0310] 図 61は、 銅板に流した電流 I [A] と、 計測した周波数シフト量 Δω [ r a d/ms] との関係を示す図である。 なお、 図 61には、 図 59の磁場 解析の結果から求められた関係 (実線) も合わせて示した。 [0310] FIG. 61 is a diagram showing the relationship between the current I [A] flowing through the copper plate and the measured frequency shift amount Δω [rad / ms]. Fig. 61 shows the magnetic field of Fig. 59. The relationship (solid line) obtained from the analysis results is also shown.
図 61より、 本実施例の計測値が、 実施例 5 - 1の解析値によく一致して いるのが分かる。 従って、 銅板の電流値 (_ 1 A〜1 A) に対応した NMR 信号の周波数シフト量 Δωが実験で計測できており、 両者の関係が正比例の 関係にあることが分かる。 From Fig. 61, it can be seen that the measured values in this example are in good agreement with the analysis values in Example 5-1. Therefore, the frequency shift Δω of the NMR signal corresponding to the current value of the copper plate (_ 1 A to 1 A) can be measured experimentally, and it can be seen that the relationship between the two is directly proportional.
[0311] (実施例 6) [0311] (Example 6)
本実施例では、 ME Αを水電解運転する際の周波数シフト量の多点計測を 行った。 In this example, multi-point measurement of the frequency shift amount during the water electrolysis operation of ME was performed.
[0312] (実施例 6_ 1 ) [0312] (Example 6_ 1)
本実施例では、 後述する実施例 6 _ 2における実測に先立ち、 ME Aを一 次元的な等価回路でモデル化した際の磁場の解析を行った。 In this example, prior to actual measurement in Example 6_2 described later, the magnetic field was analyzed when ME A was modeled with a one-dimensional equivalent circuit.
[0313] 図 62は、 本実施例における解析に用いた ME Aの概略構成を示す断面図 である。 図 62に示したように、 MEAは、 電極と高分子電解質膜の集合体 であり、 高分子電解質膜 (P EM) が上下の集電体で挟まれた構造である。 [0313] FIG. 62 is a cross-sectional view showing a schematic configuration of MEA used in the analysis in this example. As shown in Fig. 62, the MEA is an assembly of an electrode and a polymer electrolyte membrane, and the polymer electrolyte membrane (PEM) is sandwiched between upper and lower current collectors.
[0314] 本実施例の解析では、 ME Aの寸法を 23 mm X 2 Omm角、 厚さ 356[0314] In the analysis of this example, the dimensions of ME A are 23 mm X 2 Omm square, thickness 356
; Umとした。 また、 集電体は、 厚さ 30 O mの力一ポンメッシュとした。 高分子電解質膜の一方の面に、 P tと I rを無電解めつきしてアノード側 触媒層とした。 また、 高分子電解質膜の他方の面に、 触媒として P tを無電 解めつきして、 力ソード側触媒層とした。 ; Um. The current collector was a one-pong mesh with a thickness of 30 Om. Pt and Ir were electrolessly attached to one surface of the polymer electrolyte membrane to form an anode-side catalyst layer. In addition, Pt was unelectrolyzed as a catalyst on the other surface of the polymer electrolyte membrane to form a force sword side catalyst layer.
本実施例の磁場解析では、 電気抵抗の大きい触媒層には電流が流れず、 電 流は集電体を流れると仮定した。 In the magnetic field analysis of this example, it was assumed that no current flows through the catalyst layer having a large electric resistance, and the current flows through the current collector.
[0315] RF検出コイルは内径 0. 6mm、 5回巻きのものを用いた。 コイルの位 置は、 M E Aの中心を原点として、 x=_4. 4mmおよび 2. 1 mmの二 箇所である。 コイルの間隔は 6. 5 mmである。 コイルの深さ方向の計測領 域はコイル直径の 5分の 1程度であり、 P EM表面から0. 1 mm程度の円 盤状の領域内である。 [0315] The RF detection coil had an inner diameter of 0.6 mm and was wound 5 times. There are two coil positions, x = _4.4mm and 2.1mm, with the center of MEA as the origin. The coil spacing is 6.5 mm. The measurement area in the coil depth direction is about one-fifth of the coil diameter, and is within a disc-shaped area about 0.1 mm from the PEM surface.
[0316] 図 62において、 RF検出コイルは、 力一ボンメッシュの下側 (電解質膜 側) に埋め込まれ、 ME Aの内部にある触媒付き P EMに接している。 また 、 R F検出コイルはすぐ上部の力一ポンメッシュと、 下部のもう一つの力一 ボンメッシュに挟まれている。 このような二枚の導電体が作る磁場は、 図 5[0316] In Fig. 62, the RF detection coil is embedded in the lower side (electrolyte membrane side) of the bonbon mesh and is in contact with PEM with catalyst inside ME A. Also The RF detection coil is sandwiched between the upper force mesh and the lower force mesh. The magnetic field created by these two conductors is shown in Fig. 5.
5で扱ったような、 一枚の導電体の場合とは異なる。 This is different from the case of a single conductor as described in 5.
[0317] すなわち、 図 62において、 MEAを水電解運転で動作させる状態を考え る。 ME Aのアノード側集電極 (集電体) を陽極に、 力ソード側集電極を陰 極として、 直流電圧を印加し、 電流 Iを流す。 アノード側集電極に流れる電 流を I 力ソ一ド側集電極に流れる電流を I 2とする。 [0317] That is, in FIG. 62, a state in which the MEA is operated in the water electrolysis operation is considered. Apply a DC voltage and apply a current I with the anode side collector (collector) of ME A as the anode and the force sword side collector as the negative electrode. The current flowing through the anode side collector electrode is I 2 and the current flowing through the I force source side collector electrode is I 2 .
[0318] この状態で集電極と P EMを流れる電流を図 63のように仮定した。 すな わち、 アノード側集電極の左端部に電流が供給され、 力ソード側ではァノー ド側と逆側端から電流が流れ出ると仮定した。 [0318] The current flowing through the collector and PEM in this state was assumed as shown in Fig. 63. In other words, it was assumed that current was supplied to the left end of the anode-side collector electrode, and that current flowed out of the anode side and the opposite end on the force sword side.
さらに、 P EM内をプロ トンが一様に透過し、 P EM面内の全領域で等し い抵抗値を持つと仮定した。 In addition, it was assumed that the protons transmitted uniformly through the PEM and had the same resistance value in the entire region within the PEM plane.
この仮定に基づくと、 アノード側集電極およびカソード側集電極に流れる 電流分布は X方向に対してどちらも共に直線的に減少または増加する分布と なる。 これを ME Aの等価回路と仮定した。 Based on this assumption, the current distribution flowing through the anode-side collector electrode and the cathode-side collector electrode is a distribution that decreases or increases linearly with respect to the X direction. This was assumed to be an equivalent circuit of ME A.
[0319] 以上の前提のもと、 本実施例では、 電源から供給される電流 Iが 1. 2 A の時に、 P EM内に形成される磁場を実施例 5に記載された方法によって解 祈し、 小型表面コイルが置かれた位置での N MR信号の周波数シフト量を算 出した。 [0319] Based on the above assumptions, in this example, when the current I supplied from the power source is 1.2 A, the magnetic field formed in the PEM is prayed by the method described in Example 5. The frequency shift amount of the N MR signal at the position where the small surface coil was placed was calculated.
[0320] 図 64は、 図 63に示した断面 a _ aと断面 b_bの位置に対して解析し た周波数シフト量 Δωを示す図である。 図 64において、 横軸は、 周波数シ フト ( r a d/ms) を示し、 縦軸は、 P EMの厚さ方向の位置 z (mm) を示す。 コイルは最上端に置かれており、 縦軸の z位置は、 z=_ 1 78 mで P E Mの最上端 ( P t + I r側) となり、 z = 1 78 mで最下端 ( P r側) となる。 [0320] FIG. 64 is a diagram showing the frequency shift amount Δω analyzed with respect to the positions of the cross section a_a and the cross section b_b shown in FIG. In FIG. 64, the horizontal axis represents the frequency shift (rad / ms), and the vertical axis represents the position z (mm) in the thickness direction of the PEM. The coil is placed at the top end, and the z position on the vertical axis is the top end of the PEM (P t + I r side) at z = _ 1 78 m, and the bottom end (P r side at z = 1 78 m )
[0321] 図 64より、 R F検出コイル Aが置かれた位置 (x = 2. 1 mm) での z 軸方向 (P EMの厚さ方向) の周波数シフト量 Δω (実線) 、 および、 RF 検出コイル Βが置かれた位置 (x=_4. 4mm) での z軸方向の周波数シ フト量 Δω (破線) がわかる。 [0321] From Fig. 64, the frequency shift Δω (solid line) in the z-axis direction (PEM thickness direction) at the position where the RF detection coil A is placed (x = 2.1 mm) (solid line) and RF detection Frequency shift in the z-axis direction at the position (x = _4.4 mm) where coil Β is placed The amount of rotation Δω (broken line) is known.
図 64より、 R F検出コイル Αが置かれた位置での周波数シフト量、 すな わち断面 a _ a (図 63) での周波数シフト量は、 上側から下側に向かって 約 6 r a d/m sから約 1 r a d sへと減少していく。 断面 a _ aでは 、 上側集電極に流れる電流 I 1 (a t s e c t i o n a _ a ) 力 下側集 電極に流れる電流 I 2 ( a t s e c t i o n a _ a) よりも大きい ( I ι> From Fig. 64, the frequency shift amount at the position where the RF detection coil Α is placed, that is, the frequency shift amount at the cross section a _ a (Fig. 63) is about 6 rad / ms from the upper side to the lower side. Decreases from about 1 rads. In the cross section a_a, the current I 1 (at s e c t i o n a _ a) force flowing in the upper collector electrode is larger than the current I 2 (at s e c t i o n a _ a) flowing in the lower collector electrode (I ι>
I 2) 。 I 2).
[0322] —方、 R F検出コイル Bが置かれた位置、 すなわち断面 b_ b (図 63) では、 反対に、 下側集電極に流れる電流 I 2 (a t s e c t i o n b_ b ) が、 上側集電極に流れる電流 I , (a t s e c t i o n b_ b) よりも 大きい ( 12> ) 。 その結果、 断面 b_ bでの周波数シフト量は、 断面 a _ aでの周波数シフト量とは逆符号となる。 また、 断面 b_ bでの周波数シフ ト量は、 P EMの上側から下側に向かって約 0 r a 01/ 3から約_4 r a d/m sへと減少していく。 [0322] —On the other hand, at the position where the RF detection coil B is placed, that is, in the cross section b_ b (Fig. 63), the current I 2 (atsection b_ b) that flows to the lower collector electrode flows to the upper collector electrode Larger than current I, (atsection b_b) (1 2 >). As a result, the frequency shift amount in the cross section b_b is opposite to the frequency shift amount in the cross section a_a. Also, the amount of frequency shift at the cross section b_b decreases from about 0 ra 01/3 to about _4 rad / ms from the upper side to the lower side of the PEM.
[0323] (実施例 6 _ 2) [0323] (Example 6 _ 2)
本実施例では、 図 62に示した ME Aを水電解運転した際の周波数シフト 量分布を計測し、 実施例 6— 1の解析結果と比較した。 In this example, the frequency shift distribution when the ME A shown in FIG. 62 was water electrolyzed was measured and compared with the analysis results of Example 6-1.
(M E A) (M E A)
旭硝子社製の高分子電解質膜の一方の面 (アノード側) に P tと I rを無 電解めつきし、 他方の面 (力ソード側) に P tを無電解めつきして、 MEA を製作した。 ME Aの寸法は 23 mm X 2 Omm角、 厚さ 356 mとした Pt and Ir are electrolessly attached to one side (anode side) of a polymer electrolyte membrane manufactured by Asahi Glass Co., and Pt is electrolessly attached to the other side (force sword side). Produced. The dimensions of ME A are 23 mm x 2 Omm square and thickness 356 m.
[0324] 図 62に示したように、 得られた MEAを、 厚さ 300 mの力一ポンメ ッシュ (ジャパンゴァテックス社製) で挟み込んだ。 なお、 カーボンメッシ ュと ME Aを挟む際には、 厚さ 0. 03 mmの P t電極箔も共に挟みつけた 電源からの電流は、 導線から P t電極箔、 力一ポンメッシュ、 MEA、 力 —ボンメッシュ、 P t電極箔、 導線をこの順に流れて、 電源に戻る。 水電解運転時の印加電圧は約 3 V、 電流密度は 0. 26 A/cm2であった 。 水電解運転時の ME Aの温度は室温程度であった。 なお、 本実施例では、 ME Aへの水蒸気供給は行っていない。 [0324] As shown in Fig. 62, the obtained MEA was sandwiched by a force of one meter mesh (manufactured by Japan Gore-Tex) with a thickness of 300 m. When sandwiching the carbon mesh and ME A, the 0.03 mm thick Pt electrode foil was also sandwiched. The current from the power source was changed from the conductor to the Pt electrode foil, Force —Bonmesh, Pt electrode foil, and lead wire flow in this order to return to the power source. The applied voltage during water electrolysis was about 3 V, and the current density was 0.26 A / cm 2 . The temperature of ME A during water electrolysis operation was about room temperature. In this embodiment, no steam is supplied to ME A.
[0326] (小型表面コイル) [0326] (Small surface coil)
本実施例では、 N MR計測用表面コイルとして、 内径 0. 6 mmのものを 用いた。 力一ボンメッシュに小さな穴を開けて、 そこにコイルのリード部を 通して、 コイルを力一ポンメッシュの上に固定させた。 In this example, a N MR measuring surface coil having an inner diameter of 0.6 mm was used. A small hole was made in the bonbon mesh, and the lead part of the coil was passed there to fix the coil on the bonnet mesh.
図 65は、 本実施例で用いたコイルを示す図である。 小型表面コイルは、 ポリウレタン皮膜の線径 40 mの銅線を内径 0. 6 mmで渦巻状に 5回平 面状に巻いて製作した。 このコイルはスターエンジニアリング社で製作され た。 FIG. 65 is a diagram showing a coil used in this example. The small surface coil was made by winding a copper wire with a polyurethane film diameter of 40 m in a spiral shape with an inner diameter of 0.6 mm five times in a flat shape. This coil was manufactured by Star Engineering.
また、 図 66は、 本実施例でカーボンメッシュ上に置かれたコイルを示す 図である。 FIG. 66 is a view showing a coil placed on a carbon mesh in this embodiment.
[0327] 本実施例においても、 実施例 6 _ 1 と同様に、 コイル Aの中心位置を x = [0327] In this example, as in Example 6_1, the center position of coil A is x =
2. 1 mmとし、 コイル Bの中心位置 X =_ 4. 4mmとした。 位置 xの原 点は ME Aの中心とした。 2. 1 mm, coil B center position X = _ 4.4 mm. The origin of position x is the center of ME A.
[0328] (計測結果) [0328] (Measurement result)
周波数シフト量は、 実施例 1に記載の方法に準じて求めた。 図 67に、 電 流値を 1. 2 Aとした時にコイル Aおよび Bで計測された周波数シフト量を 示した。 The frequency shift amount was determined according to the method described in Example 1. Figure 67 shows the frequency shift measured by coils A and B when the current value is 1.2 A.
図 67中、 コイル Aでの周波数シフト量を白抜きの四角 (口) で示し、 コ ィル Bでの周波数シフト量を白抜きの三角 (△) で示した。 コイルの深さ方 向の計測領域はコイル直径の 5分の 1程度であるから、 P EM表面から 0. 1 mm程度の幅を持った領域となる。 この幅は図 67中にバーとして記した In Fig. 67, the amount of frequency shift in coil A is indicated by a white square (mouth), and the amount of frequency shift in coil B is indicated by a white triangle (△). The measurement area in the depth direction of the coil is about one-fifth of the coil diameter, so the area has a width of about 0.1 mm from the PEM surface. This width is shown as a bar in Figure 67.
[0329] また、 図 67より、 コイル Aおよび Bで計測された周波数シフト量は、 そ れぞれ、 実施例 6_ 1での解析結果と同符号となった。 また、 実施例 6_ 1 と同様に、 コイル Aおよび Bで計測された周波数シフト量は、 互いに逆符号 となり、 解析値と計測値で同一の関係が得られた。 [0329] From FIG. 67, the frequency shift amounts measured by coils A and B were the same as the analysis results in Example 6_1. Similarly to Example 6_1, the frequency shift amounts measured by coils A and B are opposite to each other. Thus, the same relationship was obtained between the analysis value and the measurement value.
本実施例により、 運転中の燃料電池に対応する系においても、 周波数シフ ト量を多点測定することができた。 この方法を用いることにより、 燃料電池 の M E A中の電流の局所分布を知ることが可能となる。 According to this example, the frequency shift amount could be measured at multiple points even in the system corresponding to the operating fuel cell. By using this method, it is possible to know the local distribution of the current in the MEA of the fuel cell.
[0330] (実施例 7 ) [0330] (Example 7)
(水電解運転時の周波数シフト量の計測) (Measurement of frequency shift during water electrolysis operation)
NMRによる電流計測法を、 P EMに電極を接合した ME A (Membrane El ectrode Assembly) に適用し、 水電解運転時の P E Mで N M R信号の周波数 シフト量を計測した。 また、 その妥当性を確認するために磁場解析もあわせ て行い、 計測結果と比較を行った。 The current measurement method based on NMR was applied to ME A (Membrane Electrode Assembly) in which electrodes were joined to PEM, and the frequency shift of the NMR signal was measured by PEM during water electrolysis operation. In addition, in order to confirm its validity, magnetic field analysis was also performed and compared with the measurement results.
[0331] (ME Aの等価回路) [0331] (Equivalent circuit of ME A)
計測値と比較して計測の妥当性を確認するために、 ME A内の磁場解析を 行い、 その磁場によって増減する N MR信号の周波数シフト量を算出した。 磁場解析は、 図 68に示すように、 MEAのァノード端部に電流が供給され 、 力ソード逆側端から電流が流れ出る電極配置で行った。 この解析では、 P EM内をプロ トンが一様に透過し、 P EM内の全領域で等しい抵抗値を持つ とし、 さらに、 P E Mのアノード側、 カソ一ド側にある電極に電流が流れて 、 閉回路を構成すると仮定した。 この仮定に基づくと、 アノード側電極に流 れる電流 I ,は位置 Xと共に直線的に減少する電流分布に、 反対に、 力ソ一ド 電極を流れる電流 I 2は位置 Xと共に直線的に増加する電流分布となる。 ァノ -ド電極とカソード電極に流れる電流が P EM内部に磁場を形成する。 この 磁場強度分布 Hiをビォ■サバールの法則を用いて解析し、 さらに、 その磁場 強度から N MR信号の周波数シフト量を算出した。 位置 Xの原点は P EMの 中心とした。 In order to confirm the validity of the measurement compared with the measured value, the magnetic field analysis in ME A was performed, and the frequency shift amount of the N MR signal that increases or decreases due to the magnetic field was calculated. As shown in FIG. 68, the magnetic field analysis was performed with an electrode arrangement in which current was supplied to the end of the MEA and the current flowed from the opposite end of the force sword. In this analysis, it is assumed that the protons pass through the PEM uniformly, have the same resistance value in the entire area of the PEM, and further, current flows through the electrodes on the anode side and cathode side of the PEM. It is assumed that a closed circuit is constructed. Based on this assumption, the current I, flowing through the anode electrode decreases linearly with position X, and conversely, the current I 2 flowing through the force source electrode increases linearly with position X. The current distribution. The current flowing through the anode and cathode electrodes forms a magnetic field inside the PEM. This magnetic field strength distribution Hi was analyzed using Bio-Savart's law, and the frequency shift amount of the N MR signal was calculated from the magnetic field strength. The origin of position X is the center of PEM.
[0332] 4つのセンサー位置で解析された周波数シフト量の z方向分布を図 69に 示す。 センサ _ Aの位置 (x=_7. 5mm) ではアノード側の電流 I ,が、 力ソード側の電流 I 2よりも大きく、 その結果として、 周波数シフト量は正の 値となる。 反対に、 センサ一 Dの位置 (x = 7. 5mm) では、 力ソード側 の電流 I 2が、 ァノード側の電流 ょりも大きく、 その場合の周波数シフト量 はセンサ一 Aとは逆の負の値となる。 両者の中間に位置するセンサ _B、 C はその中間の周波数シフト量なる。 [0332] Figure 69 shows the z-direction distribution of frequency shifts analyzed at the four sensor positions. Position (x = _7. 5mm) at the anode side of the current I, of the sensor _ A but larger than the current I 2 forces cathode side, as a result, the frequency shift amount has a positive value. Conversely, at the position of sensor D (x = 7.5 mm), the force sword side The current I2 of the current is also large on the far node side, and the frequency shift amount in that case is a negative value opposite to that of the sensor A. Sensors _B and C located in the middle of both are the frequency shift amount in the middle.
[0333] (ME Aの水電解運転とセンサー位置) [0333] (ME A water electrolysis operation and sensor position)
水電解運転に用いた ME Aは、 高分子電解質膜のアノード側に P tと I r を、 力ソード側に P tを無電解めつきして製作した。 ME Aの寸法は 23 m mX 20mm角、 356 m厚さである。 The ME A used in the water electrolysis operation was manufactured by electrolessly attaching Pt and Ir on the anode side of the polymer electrolyte membrane and Pt on the force sword side. The dimensions of ME A are 23 mm x 20 mm square and 356 m thick.
[0334] この MEAを、 図 70に示すように GD L (Gas Diffusion Layer) として 厚さ 300 mの力一ポンメッシュで挟み込み、 P t電極を通して安定化電 源から電流を供給する。 GD Lと ME A間の接触抵抗を均一に近づけるため に、 GD Lと MEAが均一に接触するようにクッション材を用いて正負の電 極両側から圧力をかけて接触させる構造とした。 印加電圧は約 3 Vで電流密 度は 0. 26A/cm2であった。 [0334] As shown in Fig. 70, this MEA is sandwiched as a GDL (Gas Diffusion Layer) by a 300m thick force pon mesh, and current is supplied from the stabilizing power source through the Pt electrode. In order to bring the contact resistance between GDL and MEA closer to uniform, a structure is used in which pressure is applied from both sides of the positive and negative electrodes using a cushioning material so that GDL and MEA are in uniform contact. Applied voltage current density of about 3 V was 0. 26A / cm 2.
[0335] NMR計測用表面コイルは内径 0. 6mm、 線径 0. 04mmの銅線を 5 回巻いたものを用い、 M E Aと力一ポンメッシュ間に 5 m m間隔で 4個配置 した。 表面コィルの線材にはポリウレタンコ一ティングがほどこされており 、 カーボンメッシュとは絶縁された状態にある。 コイルの深さ方向の計測領 域はコイル直径の 5分の 1程度であり、 P EM表面から0. 1 mm程度の深 さの円盤状の領域である。 このコィルが計測している N M R信号の周波数の 代表値はこの円盤の中心であるとみなし、 その深さは 0. 05mmと考えた [0335] The surface coil for NMR measurement was a copper wire with an inner diameter of 0.6 mm and a wire diameter of 0.04 mm, and four coils were placed at 5 mm intervals between the MEA and the force pon mesh. Polyurethane coating is applied to the surface coil wire, and the carbon mesh is in an insulated state. The measurement area in the coil depth direction is about one-fifth of the coil diameter, and is a disk-like area with a depth of about 0.1 mm from the PEM surface. The representative value of the frequency of the NMR signal measured by this coil is considered to be the center of this disk, and its depth is assumed to be 0.05 mm.
[0336] (周波数シフト量の計測結果) [0336] (Measurement result of frequency shift amount)
計測された周波数シフト量と、 解析から求められた周波数シフト量の X方 向分布を図 7 1に示す。 この図の横軸は位置 Xとし、 各センサーの位置に対 応ずる。 また、 縦軸は周波数シフト量を表す。 図中の國 (黒塗りの四角) 力《 、 センサ _A〜Dの位置 Xでの周波数シフト量の計測値を示す。 また、 実線 は、 (ME Aの等価回路) の項で示した解析方法を用い、 さらに GD Lの厚 みまで考慮して算出した周波数シフト量を示している。 この際、 周波数シフ ト量は、 アノード表面位置 (z = 1 7 8 U m) からコイルの計測中心までの 距離 0. 05mmだけ P EM内部に入った位置 ( z = 1 28 m) での値と した。 Figure 71 shows the measured frequency shift amount and the X-direction distribution of the frequency shift amount obtained from the analysis. The horizontal axis in this figure is position X, which corresponds to the position of each sensor. The vertical axis represents the frequency shift amount. In the figure, the country (black square) force <<, sensor _A ~ D of the position X of the frequency shift measured value is shown. The solid line shows the amount of frequency shift calculated using the analysis method shown in the (MEA equivalent circuit) section and considering the thickness of GDL. In this case, the frequency shift The distance from the anode surface position (z = 1 78 Um) to the coil measurement center was the value at the position (z = 1 28 m) where the distance from the coil center was 0.05 mm.
[0337] 図 7 1より、 センサ一 Aから Dに向けて周波数シフト量は順次低下し、 実 線の解析値と園の計測値はほぼ一致していることが分かる。 また、 Aと Dで は周波数シフト量が逆符号になっていることが分かる。 これより、 MEA表 面に流れる電流分布に対応した N M R信号の周波数シフト量を捉えることが できていることがわかる。 [0337] From Fig. 71, it can be seen that the amount of frequency shift gradually decreases from sensor A to D, and the analytical value of the solid line and the measured value of the garden almost coincide. It can also be seen that A and D have opposite frequency shift amounts. This indicates that the frequency shift amount of the NMR signal corresponding to the current distribution flowing on the MEA surface can be captured.
また、 センサ _C、 Dでは解析値よりも実験値が僅かに大きいが、 この原 因は、 力一ボンメッシュと M E Aが空間的に均一な接触抵抗で接合しておら ず、 電流分布に僅かな偏りがあつたためであると考えている。 In addition, the experimental values for sensors _C and D are slightly larger than the analytical values, but this is because the force bon mesh and MEA are not joined with a spatially uniform contact resistance, resulting in a slight current distribution. I think this is because of the bias.
[0338] (実施例 8) [0338] (Example 8)
本実施例では、 燃料電池内の G D Lと P EMの間に小型表面コイルを挿入 して、 燃料電池を水電解運転した際の電流値を N MRの周波数シフト量から 計測するとともに、 P EM内含水量も計測した。 水を供給せずに水電解運転 すれば、 P EMは徐々に乾燥し、 電流は徐々に低下する。 本実施例では、 こ の場合の電流と含水量の空間分布を時系列的に計測した。 In this example, a small surface coil is inserted between the GDL and PEM in the fuel cell, and the current value when the fuel cell is operated in water electrolysis is measured from the frequency shift amount of N MR. The water content was also measured. If water electrolysis is performed without supplying water, the PEM will gradually dry and the current will gradually decrease. In this example, the spatial distribution of current and water content in this case was measured in time series.
[0339] 周波数シフト量と含水量を交互に計測するための実験として、 ここでは、 実施例 7と同様の ME Aと小型コイルを用いて、 水電解運転時の周波数シフ ト量と含水量の計測を行った。 図 72は、 本実施例における MEAと小型コ ィルの配置を示す図である。 図 72に示したように、 小型コイルは P EMと G D Lとの間に挿入されており、 その数はァノ一ド側に 3つ、 力ソ一ド側に 1つである。 [0339] As an experiment for alternately measuring the frequency shift amount and the water content, here we used the same ME A and small coil as in Example 7 to determine the frequency shift amount and the water content during water electrolysis operation. Measurement was performed. FIG. 72 is a diagram showing the arrangement of MEAs and small coils in the present embodiment. As shown in Fig. 72, small coils are inserted between PEM and GDL, and the number is 3 on the anode side and 1 on the force side.
[0340] なお、 本実施例では、 静磁場 HQの向きが実施例 7とは逆である。 磁石内に セルを設置する際に、 静磁場の方向が逆向きになるように、 セルの向きを反 転させて設置した。 これにより、 実施例 7で計測された周波数シフト量の符 号は逆転する。 たとえば、 センサ一 Aの場合の周波数シフト量の絶対値は同 じであるが、 符号がマイナスとなる。 [0341] M E Aは実験直前まで蒸留水に浸されており、 実験直前にキムワイプで表 面の水をふき取って、 適度な含水量とした。 このように処理された際の ME Aの含水量は、 実施例 2で前述したように、 1 0 [H20/S03- H+] 程度で ある。 本実験でも、 含水量は 1 0 [H20/S03- H+] 程度と考えられる。 [0340] In this example, the direction of the static magnetic field HQ is opposite to that of Example 7. When installing the cell in the magnet, the cell direction was reversed so that the direction of the static magnetic field was reversed. As a result, the sign of the frequency shift amount measured in Example 7 is reversed. For example, the absolute value of the frequency shift amount for sensor A is the same, but the sign is negative. [0341] MEA was immersed in distilled water until immediately before the experiment, and the surface water was wiped off with Kimwipe just before the experiment to obtain an appropriate water content. As described above in Example 2, the water content of ME A when treated in this way is about 1 0 [H 2 0 / S 0 3 −H +]. Even in this experiment, the water content is considered to be about 10 [H 2 0 / S0 3 -H +].
[0342] (水電解運転と計測手順) [0342] (Water electrolysis operation and measurement procedure)
周波数シフト量の計測は、 実施例 7と同様の PGS E法で、 含水量は C P MG法で計測した。 図 73は、 水電解運転を開始した (電圧を印加した) 時 間をゼロとした時の、 本実施例における PGS Eと C PMGの計測タイミン グを示す図である。 The frequency shift amount was measured by the same PGS E method as in Example 7, and the water content was measured by the CPMG method. FIG. 73 is a diagram showing the measurement timings of PGS E and C PMG in this example when the time when water electrolysis operation was started (voltage was applied) was set to zero.
[0343] 図 73に示したように、 本実施例では、 P G S E計測と C P M G計測とを 交互に繰り返した。 具体的には、 PGS E計測では 1回でスピンエコー信号 を取得した。 C PMGでは 5回の同じ計測を行って、 エコー信号を得た。 C P M G計測では 5回計測を行い、 得られた 2番目のェコ一信号強度を 5回分 平均して、 それを計測値とした。 1回の PGS Eと 5回の C PMGを一つの セットとして、 このセットを繰り返した。 T Rは 5秒とし、 この一つのセッ 卜の計測に要する時間は 30秒である。 電圧を印加してから、 6セット分の 計測を行った。 C P M G計測では 2て = 20m sとした。 1回の計測でェコ 一信号を取得している時間は 1秒とした。 [0343] As shown in FIG. 73, in this example, the P G S E measurement and the C P M G measurement were repeated alternately. Specifically, the spin echo signal was acquired once in the PGS E measurement. In C PMG, the same measurement was performed five times to obtain an echo signal. In CPMG measurement, the measurement was performed 5 times, and the second echo signal intensity obtained was averaged for 5 times to obtain the measured value. This set was repeated with one PGS E and five C PMGs as one set. TR is 5 seconds, and the time required to measure this one set is 30 seconds. After applying voltage, 6 sets of measurements were taken. In CPMG measurement, 2 = 20 ms. The time to acquire an echo signal in one measurement is 1 second.
[0344] ここで、 PGS Eで得られたエコー信号から周波数シフト量を算出するた めには、 ME Aに電圧を印加する前に取得されたエコー信号が必要である。 そこで、 本実施例では、 図 73に示したように、 電圧を印加する前から一連 の計測を開始し (図中の 「O f f 」 ) 、 基準のエコー信号として用いた。 こ の際、 磁石の温度が時間とともに上昇または降下して、 静磁場強度が増減し 、 N MR信号の周波数が変化する場合がある。 本計測では、 その周波数の変 化量は 1時間で約 1 O O H zであった。 今回行った 1 50秒という実験時間 で変化する周波数は数 H z程度であり、 電流によって増減する周波数シフト 量 (約 1 k H z) に比べて、 十分に小さい。 このため、 基準の周波数は電圧 を印加する前に取得された値 (エコー信号波形) と同様であるとみなすこと ができる。 ここでは、 この仮定を置いて、 周波数シフト量を求めた。 Here, in order to calculate the amount of frequency shift from the echo signal obtained by PGS E, the echo signal obtained before applying a voltage to ME A is required. Therefore, in this example, as shown in FIG. 73, a series of measurements was started before applying a voltage (“O ff” in the figure) and used as a reference echo signal. At this time, the temperature of the magnet increases or decreases with time, the static magnetic field strength increases or decreases, and the frequency of the N MR signal may change. In this measurement, the amount of change in frequency was about 1 OOH z in 1 hour. The frequency that changes in the experiment time of 150 seconds, which was conducted this time, is about a few Hz, which is sufficiently smaller than the frequency shift amount (about 1 kHz) that increases or decreases with the current. For this reason, it is assumed that the reference frequency is the same as the value (echo signal waveform) obtained before applying the voltage. Can do. Here, we calculated the frequency shift amount based on this assumption.
[0345] なお、 上述の実験状態とは異なり、 周波数が時間的に増減する場合には、 M E Aに電流が流れることで形成される磁場の影響を受けない場所に N M R 検出コイルを設置し、 この NMR周波数を計測して、 これを基準周波数とし て用いることで、 静磁場強度の時間変化を相殺することができる。 [0345] Unlike the experimental state described above, when the frequency increases or decreases with time, an NMR detection coil is installed in a place that is not affected by the magnetic field formed by the current flowing through the MEA. By measuring the NMR frequency and using it as the reference frequency, the time change of the static magnetic field strength can be offset.
[0346] ME Aに印加する電圧は最大で 3. 4V、 電流の最大値は 1. 2 Aと直流 電源を設定して、 M E Aを水電解運転した。 図 74は、 M E Aを流れた電流 の時間変化を示す図である。 また、 図 75は、 ME Aに印加された電圧の時 間変化を示す図である。 [0346] The voltage applied to ME A was 3.4 V at maximum, the maximum current was 1.2 A, and a DC power supply was set. FIG. 74 is a diagram showing the time change of the current flowing through M EA. FIG. 75 is a diagram showing the time change of the voltage applied to MEA.
[0347] 図 74および図 75に示したように、 M E Aに電圧を印加した直後から約 [0347] As shown in Fig. 74 and Fig. 75, about immediately after the voltage is applied to M EA
1 0秒程度は 1. 2 Aの電流が流れた。 この際の電流密度は 0. 25 A/ c m2であった。 約 1 0秒が経過した後には、 ME Aへの印加電圧が 3. 4Vに 達し、 それと同時に電流が 0. 8 A程度まで減少した。 そして、 その後、 徐 々に電流が 0. 5 A程度まで降下した。 A current of 1.2 A flowed for about 10 seconds. The current density at this time was 0.25 A / cm 2 . After about 10 seconds, the voltage applied to ME A reached 3.4 V, and at the same time, the current decreased to about 0.8 A. After that, the current gradually dropped to about 0.5 A.
[0348] 本実施例では、 約 30秒の時間間隔で P G S E計測が 6回行われており、 それは図 74中に矢印で示した時間 (PGS E# 1〜#6) に対応する。 こ のように、 電流が降下して行く状態での周波数シフト量の計測を行った。 一 方、 C PMGは P G S Eの間で 5回計測された。 [0348] In this example, PGSE measurement is performed six times at a time interval of about 30 seconds, which corresponds to the time indicated by the arrows in FIG. 74 (PGS E # 1 to # 6). In this way, the frequency shift was measured while the current was decreasing. On the other hand, C PMG was measured 5 times during P G S E.
[0349] (計測結果と磁場解析から求められた周波数シフト量との比較) [0349] (Comparison between measurement results and frequency shift obtained from magnetic field analysis)
図 76は、 PGS E# 1 と #4 (図 74) での計測から 3つのセンサ一 A 、 Cおよび Dで求められた周波数シフト量を示す図である。 図 76は、 前述 の実施例 7で示した図 7 1 と同様に、 横軸をセンサーの位置 x、 縦軸を周波 数シフト量として記述されている。 図 76において、 國 (黒塗りの四角) の プロットは、 P G S E# 1 (電流は 1. 2 A) で計測された周波数シフト量 を示している。 また、 ▲ (黒塗りの三角) のプロットは、 PGS E#4 (電 流は 0. 6 A) で計測された周波数シフト量を示している。 また、 図中の実 線と一点鎖線は、 実施例 7と同様の磁場解析によって算出した解析値である [0350] 図 76に示した結果は、 図 7 1の結果と比較して、 周波数シフト量の符合 が異なっているが、 この理由は、 静磁場方向を逆方向にしたためである。 G D Lを流れる電流の方向は同じでありながら、 静磁場方向が逆になれば、 周 波数シフト量の符号は逆転する。 静磁場の方向を計測者が把握できていれば 、 問題とはならない。 FIG. 76 is a diagram showing the frequency shift amounts obtained by the three sensors A, C, and D from the measurements in PGS E # 1 and # 4 (FIG. 74). In FIG. 76, the horizontal axis represents the sensor position x and the vertical axis represents the frequency shift amount, as in FIG. 71 shown in Example 7 above. In Fig. 76, the plot for country (black square) shows the frequency shift measured with PGSE # 1 (current is 1.2 A). The ▲ (black triangle) plot shows the frequency shift measured with PGS E # 4 (current is 0.6 A). In addition, the solid line and the alternate long and short dash line in the figure are analysis values calculated by the same magnetic field analysis as in Example 7. [0350] The result shown in Fig. 76 differs from the result of Fig. 71 in the sign of the frequency shift amount, because the static magnetic field direction is reversed. The direction of the current flowing through the GDL is the same, but if the direction of the static magnetic field is reversed, the sign of the frequency shift amount is reversed. If the measurer knows the direction of the static magnetic field, it will not be a problem.
[0351] 図 76より、 計測値と解析値は 1. 2Aと 0. 6Aの両方共に良く一致し ていることが分かる。 電流が減少すれば、 それだけ周波数シフト量が低下し 、 それがセンサ一の位置に依存していることがわかる。 また、 計測値と解析 値が一致することから、 解析で仮定したように、 この水電解実験では ME A にはほぼ一様に電流が流れている状態が達成できていると推測することがで さる。 [0351] From Fig. 76, it can be seen that the measured and analyzed values are in good agreement for both 1.2A and 0.6A. If the current decreases, the amount of frequency shift decreases accordingly, and it can be seen that it depends on the position of the sensor. In addition, since the measured values and the analyzed values agree with each other, as assumed in the analysis, it can be inferred that in this water electrolysis experiment, a state where a current flows almost uniformly in ME A can be achieved. Monkey.
[0352] また、 図 77は、 PGS E# 1から #6までの計測によって得られた周波 数シフト量の時間変化を示す図である。 図 77においても、 3つのセンサ一 A、 C、 Dの計測値と解析値を示した。 この図からも、 計測値と解析値とが 良く一致している。 よって、 MEAを流れる電流が 1. 2Aから 0. 6Aに 過渡的に減少していく状況であつても、 M E Aには一様に電流が流れている 状態が保たれていると推測できる。 [0352] Fig. 77 is a diagram showing the time change of the frequency shift amount obtained by the measurement from PGS E # 1 to # 6. In Fig. 77, the measured and analyzed values of the three sensors A, C, and D are also shown. From this figure, the measured values and the analyzed values are in good agreement. Therefore, even when the current flowing through the MEA decreases transiently from 1.2A to 0.6A, it can be inferred that the current flows uniformly through the MEA.
[0353] (P EM内の含水量の計測結果) [0353] (Measurement result of water content in PEM)
次に、 C PMG計測によって P EM内の含水量を計測した結果を説明する Next, the results of measuring the water content in PEM by C PMG measurement will be explained.
MEAに直流電圧を印加した時間をゼロとし、 アノード側 (センサ _A、 C、 D) で取得されたエコー信号強度の時間変化を図 78に、 力ソード側 ( センサ一 E) で取得されたエコー信号強度の時間変化を図 79に示す。 ここ で、 エコー信号強度は、 C PMG法を用いて 2番目に観測されたエコー信号 の強度であり、 さらに、 5回の C PMG計測を行った際の平均信号強度であ る。 また、 縦軸の値は、 電流印加前に計測した 4セットの平均信号強度で規 格化されている。 The time change of the echo signal intensity acquired on the anode side (sensors _A, C, D) is shown in Fig. 78, and the echo acquired on the force sword side (sensor 1E) is shown in Fig. 78. Figure 79 shows the signal strength over time. Here, the echo signal intensity is the intensity of the echo signal that was observed second using the C PMG method, and the average signal intensity when five C PMG measurements were performed. The values on the vertical axis are normalized by the average signal strength of 4 sets measured before applying current.
[0354] 図 80に示すように、 別の実験から P E M内の含水量が多いほど信号強度 は強くなるが、 両者の関係は、 厳密には、 単純な正比例の関係にはない。 し かし、 本実施例では、 簡単のために、 両者が正の相関にあり、 ほぼ信号強度 が含水量に正比例していると仮定する。 [0354] As shown in Figure 80, the signal intensity increases as the water content in the PEM increases from another experiment. However, the relationship between the two is not strictly a direct proportional relationship. However, in this embodiment, for the sake of simplicity, it is assumed that the two are in a positive correlation and that the signal intensity is almost directly proportional to the water content.
[0355] 図 7 8に示したように、 電流を流して水電解を開始するとァノード側のセ ンサー Aでは含水量が減少し、 電流をゼロに戻すと元の含水量に戻った。 _ 方、 センサー Cおよび Dではほぼ一定の含水量であった。 [0355] As shown in Fig. 78, when water electrolysis was started by applying current, the moisture content in sensor A on the anode side decreased, and when the current was returned to zero, it returned to the original moisture content. On the other hand, sensors C and D had almost constant water content.
[0356] これに対し、 力ソ一ド側では一旦含水量が増加して、 その後はゆつくりと 減少していく様子が見られた。 センサ一 Aおよび Eは、 図 7 2に示したよう に、 ほぼ相対する位置にある。 [0356] On the other hand, the water content once increased on the force source side, and then gradually decreased. Sensors A and E are almost in opposite positions, as shown in Fig. 72.
[0357] 図 8 1は、 M E Aの水電解運転時に P E M内で生じている現象を説明する 図である。 図 8 1に示したように、 P E M内では電気浸透流によって水が力 リ一ド側に移動し、 さらにアノード側では電気分解によって水が分解してい るために、 アノード側の含水量が減少する。 一方、 力ソード側では、 電気浸 透流によって一旦は含水量が増加する。 しかし、 水電解が継続すれば、 電気 分解によって P E M全体の含水量が減少するために、 結局は力ソ一ド側であ つても時間と共に徐々に含水量が減少していくと考えられる。 [0357] Fig. 8 1 is a diagram for explaining a phenomenon occurring in P E M during water electrolysis operation of M EA. As shown in Fig. 81, water moves to the power lead side by electroosmotic flow in the PEM, and further water is decomposed by electrolysis on the anode side, so the water content on the anode side decreases. To do. On the other hand, on the force sword side, the water content once increases due to electro-osmotic flow. However, if water electrolysis continues, the water content of the entire P EM will decrease due to electrolysis, and eventually the water content will gradually decrease with time even on the power source side.
[0358] 本実施例では 1 5 0秒の水電解運転を行ったが、 この電流量で分解された 水の量は P E M内に含まれている水の量の数%程度と計算された。 このため 、 アノード側、 力ソード側の含水量の増減は主に電気浸透流によって起きて いると考えられる。 また、 水電解を停止した後には、 P E M内の含水量は僅 かに減少した含水量の状態になると考えられる。 [0358] In this example, water electrolysis operation was performed for 150 seconds, but the amount of water decomposed by this amount of current was calculated to be about several percent of the amount of water contained in PEM. For this reason, the increase or decrease in water content on the anode side or the force sword side is considered to be mainly caused by electroosmotic flow. In addition, after water electrolysis is stopped, the water content in PEM will be slightly reduced.
[0359] ここで得られた図 7 8と図 7 9の結果から、 センサ一は上述の現象を捉え て、 アノード側では減少し、 力ソード側では一旦増加し、 その後、 減少して 、 水電解停止後にはほぼ元の含水量と同じ程度に戻ったという結果を示した と言える。 [0359] From the results of Fig. 7 8 and Fig. 7 9 obtained here, the sensor captures the above phenomenon, decreases on the anode side, temporarily increases on the force sword side, then decreases, and then decreases. It can be said that the results returned to almost the same as the original water content after the electrolysis was stopped.
[0360] なお、 本実施例では、 P G S E法による周波数シフ卜の測定と C P M G法 による水分量の測定を交互に行う例を示したが、 周波数シフ卜の測定と水分 量の測定とを共通のパルスシークエンスにより同時に行ってもよい。 また、 本実施例では、 周波数シフトの測定装置により水分量の測定を行つ た例を示したが、 周波数シフトの測定装置により、 水の易動性を測定するこ ともできる。 [0360] In this example, the frequency shift measurement by the PGSE method and the moisture content measurement by the CPMG method are shown alternately. However, the frequency shift measurement and the moisture content measurement are common. You may carry out simultaneously by a pulse sequence. Further, in this embodiment, an example in which the moisture content is measured by the frequency shift measuring device is shown, but the mobility of water can also be measured by the frequency shift measuring device.
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| JP2013536940A (en) * | 2010-08-31 | 2013-09-26 | メッツォ オートメーション オイ | Low-field NMR apparatus for measuring the water content of solids and slurries |
| JP2014098716A (en) * | 2014-02-19 | 2014-05-29 | Keio Gijuku | Measurement instrument and fuel battery system |
| JP2019018148A (en) * | 2017-07-14 | 2019-02-07 | 三菱重工業株式会社 | Method for evaluation of pollution degree of separation membrane apparatus |
| CN116609373A (en) * | 2023-03-30 | 2023-08-18 | 苏州纽迈分析仪器股份有限公司 | Method and device for testing bound water content of soil body |
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