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WO2009110026A1 - Method for mass spectrometry and mass spectroscope - Google Patents

Method for mass spectrometry and mass spectroscope Download PDF

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Publication number
WO2009110026A1
WO2009110026A1 PCT/JP2008/000452 JP2008000452W WO2009110026A1 WO 2009110026 A1 WO2009110026 A1 WO 2009110026A1 JP 2008000452 W JP2008000452 W JP 2008000452W WO 2009110026 A1 WO2009110026 A1 WO 2009110026A1
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mass
signal
ion
ions
autocorrelation function
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French (fr)
Japanese (ja)
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西口克
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Shimadzu Corp
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Shimadzu Corp
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J49/00Particle spectrometers or separator tubes
    • H01J49/02Details
    • H01J49/025Detectors specially adapted to particle spectrometers
    • H01J49/027Detectors specially adapted to particle spectrometers detecting image current induced by the movement of charged particles
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J49/00Particle spectrometers or separator tubes
    • H01J49/26Mass spectrometers or separator tubes
    • H01J49/34Dynamic spectrometers
    • H01J49/40Time-of-flight spectrometers
    • H01J49/408Time-of-flight spectrometers with multiple changes of direction, e.g. by using electric or magnetic sectors, closed-loop time-of-flight

Definitions

  • the present invention relates to a mass spectrometric method and a mass spectroscope, and more particularly to a mass spectrometric method and a mass spectroscope using an ion optical system that separates ions according to mass by flying ions along a circular orbit.
  • time-of-flight mass spectrometers measure the flight time required for ions to fly a certain distance based on the principle that ions accelerated with a constant energy have a flight speed according to the mass. The mass of the ion is calculated. Therefore, it is effective to increase the flight distance in order to improve the mass resolution.
  • a multi-round time-of-flight mass spectrometry that achieves high mass resolution by extending the flight distance of ions by increasing the number of rounds using a multi-round ion optical system that makes multiple rounds of ions along a closed orbit Devices have been developed (see Patent Documents 1, 2, and 3, Non-Patent Document 1, etc.).
  • a multi-reflection time-of-flight mass spectrometer using a multi-reflection ion optical system has been developed that extends the flight distance by reflecting ions several times with a reflection electric field.
  • the multi-round time-of-flight mass spectrometer can achieve a high mass resolution
  • the drawback is that as the ions circulate, ions that fly faster due to the smaller mass overtake slower ions on a closed orbit due to the larger mass.
  • peaks having different laps, that is, having different flight distances are mixed on the spectrum. In that case, since the mass of the ion and the flight distance cannot be uniquely determined, the mass spectrum cannot be obtained directly from the time-of-flight spectrum.
  • a multi-turn time-of-flight mass spectrometer is generally used to observe only a narrow mass range in which no overtaking occurs among ions generated by an ion source.
  • Patent Document 4 One technique for solving this problem is proposed in Patent Document 4.
  • a plurality of different time-of-flight spectra are obtained by performing a plurality of measurements while changing the time from the incidence to the exit of ions to the orbit.
  • These time-of-flight spectra include peaks for ions of the same mass that have different lap times. Therefore, by calculating the multiple correlation function of the plurality of time-of-flight spectra, the time-of-flight spectrum of a single revolution is reconstructed and converted into a mass spectrum.
  • a detector capable of detecting passing ions electromagnetically and non-destructively (maintaining ions as they are) on a periodic orbit by a multi-circular ion optical system is installed, and a signal for a predetermined period of time is installed.
  • the detection signal includes a plurality of periodic signals having a frequency depending on the mass of ions. This signal can be converted into a frequency spectrum by Fourier transform, and the frequency spectrum can be easily converted into a mass spectrum from the correspondence between the frequency and the mass. Thereby, the target mass spectrum can be obtained by subjecting the detection signal acquired by only one measurement to Fourier transform.
  • This method can be said to be an excellent mass spectrometry method for avoiding the problems of the multi-round time-of-flight mass spectrometer.
  • this method will be referred to as “Fourier Transform Multiple Loop Mass Spectrometry (FT-MT / MS)”.
  • FT / MS mass spectrometry
  • FT-ICR / MS Fourier transform ion cyclotron resonance mass spectrometry
  • Non-Patent Document 2 An apparatus for reciprocating ions in an electrostatic field of a specific shape and performing mass spectrometry using the frequency has been developed.
  • FT-MT / MS is an excellent method for avoiding the problems of the multi-round time-of-flight mass spectrometer, but has one problem compared to other FT / MS. It is a problem related to the signal observation time required to obtain a predetermined mass resolution. The problem will be described below.
  • the mass resolution obtained depends on the frequency resolution of the apparatus.
  • the signal observation time required for obtaining a predetermined frequency resolution depends on the frequency of ion motion included in the signal.
  • f is the frequency of motion for ions of mass m
  • ⁇ f is the frequency peak width.
  • is a constant depending on the device, and is 1 for FT-ICR / MS and 0.5 for FT-MT / MS.
  • FIG. 5 shows the relationship between the mass m and the motion frequency f for each of FT-MT / MS and FT-ICR / MS, which is obtained by the equations (5) and (7).
  • FT-MT / MS requires a signal observation time that is one to two digits longer than other FT / MS (specifically, FT-ICR / MS) to achieve the same mass resolution. Therefore, the measurement throughput is significantly reduced. This is one problem in FT-MT / MS.
  • One of the causes of the above problems lies in the characteristics of signal analysis by Fourier transform, in which the width of the frequency peak by Fourier transform depends on the signal observation time.
  • FT-MT / MS when the signal observation time is extended, that is, when the number of laps is increased, ion packets (a set of ions taking into account the spread in the time direction) of two types of ions close to each other in mass are separated.
  • the characteristics of Fourier transform even if the ion packets are separated, the frequency corresponding to the two ion packets cannot be separated on the frequency spectrum unless sufficient signal observation time is taken. That is, although the signal observation time is extended to improve the spatial separation, the improvement in the separation does not necessarily lead to the improvement in mass resolution.
  • JP 11-1335060 A Japanese Patent Application Laid-Open No. 11-135031 JP 11-195398 A JP 2005-79049 A JP-A-2005-79037 M. Toyoda and three others, “Multi-turn time-of-flight mass spectrometers with electrostatic sectors”, Journal of ⁇ Mass Spectrometry (J. Mass Spectrom.), 38, pp. 1125-1142, 2003 Marshall (AGMarshall) and two others, “Fourier Transform Ion Cyclotron Resonance Mass Spectrometry: Fourier Transform Ion Cyclotron Resonance Mass Spectrometry: A Mass Spectrom. Rev.), 17, pp.1-35, 1998
  • the present invention has been made to solve the above-described problems.
  • a mass spectrometer that combines a multi-circular ion optical system and an ion non-destructive detector
  • the problems of conventional signal analysis by Fourier transform are solved.
  • the main purpose is to overcome and achieve high resolution and high throughput (or high speed).
  • the mass spectrometric method according to the present invention which has been made to solve the above-mentioned problems, spatially separates ions derived from a sample according to the mass by repeatedly flying ions derived from a sample along a circular orbital orbit.
  • a mass spectrometric method using a mass spectroscope comprising a multi-circular ion optical system and a detection means for non-destructively detecting ions flying on the circular orbit or reciprocating orbit,
  • ACF Auto-Correlation Function
  • a mass spectrometer made to solve the above problems is an apparatus for carrying out the mass spectrometry method according to the present invention, a) a multi-circular ion optical system that spatially separates ions according to mass by repeatedly flying ions derived from a sample along a circular or reciprocating orbit; b) non-destructive detection means for detecting ions flying on the orbit or reciprocating orbit, c) an arithmetic processing means for extracting a periodicity of the observed signal and calculating a periodic spectrum by calculating an autocorrelation function for the observed signal obtained within a predetermined signal observation time by the detecting means; d) conversion processing means for calculating the mass spectrum or the mass of each ion from the periodic spectrum; It is characterized by having.
  • the signal observed by the detection means from when the ions are emitted from the ion source arranged outside the multi-circular ion optical system until the predetermined signal observation time elapses indicates information on the ions passing therethrough. Includes all. That is, every time an ion having a certain mass makes a round orbit (or travels one way along the reciprocating orbit), a peak for that ion should appear, and this peak has a period corresponding to the mass. When a plurality of types of ions having different masses are mixed, the peaks having the periodicity as described above are mixed or sometimes overlapped. In the present invention, signal analysis is performed on such an observation signal using an autocorrelation function instead of Fourier transform.
  • the autocorrelation function is a function that indicates how much an observed signal at a certain time is correlated with a signal after a certain period of time has elapsed. Therefore, by finding a signal having a high autocorrelation, it is possible to extract the periodicity of the peak according to the mass of the various ions described above.
  • an autocorrelation function C () defined by the following equation (9) with respect to an observation signal f (t) (0 ⁇ t ⁇ S) obtained within the signal observation time S: ⁇ ) (0 ⁇ ⁇ ⁇ S) can be used. Also, since the denominator of equation (9) is not important, only the numerator of the following equation can be used.
  • the peak width appearing in the autocorrelation function is twice the peak width in the original time domain and does not depend on the signal observation time in terms of the calculation principle.
  • the width of the frequency peak by the Fourier transform used in the conventional FT-MT / MS depends on the signal observation time even in terms of the calculation principle. Therefore, in the mass spectrometry method and the mass spectrometer according to the present invention, the signal observation time is extended with respect to two ion packets having close masses, and at least the ion packets are separated in space. There is a possibility that the respective masses can be calculated by separating the periods corresponding to the ion packets.
  • the period for two types of ions that are separated on the observation signal cannot be separated by simply performing processing using the autocorrelation function. This is a case where the masses of the two types of ions are very close and separation can be confirmed on the observation signal only after many rounds. Therefore, in order to improve the resolution of the period for ions separated on the observation signal, in the present invention, for example, the following arithmetic processing is preferably performed on the autocorrelation function of the observation signal.
  • the autocorrelation function product F (T) may be obtained from the following equation (10) for the result obtained in the autocorrelation function.
  • W (n T ) is a weight function, and a predetermined function with 1 or n T as a variable can be used.
  • [x] represents a maximum integer not exceeding x.
  • the autocorrelation function product directly represents the signal intensity with respect to the flight period of the multi-turn ion optical system, that is, the periodic spectrum.
  • the acceleration voltage of ions is constant, the cycle of one round depends on the mass of ions. Therefore, the periodic spectrum based on the autocorrelation function product is substantially equivalent to the mass spectrum, and the mass can be easily calculated.
  • the signal observation time is shorter than that of the conventional FT-MT / MS by about two digits or three digits, which is sufficiently high to meet the extended flight distance. Mass resolution can be obtained. Further, multiple rounds of measurement need only be performed once, and it is not necessary to repeat the measurement for the same sample many times as in the case of MT / MS using a conventional multiple correlation function. Accordingly, the total measurement time can be shortened, and samples need only be prepared as much as necessary for one measurement.
  • FIG. 1 It is a schematic block diagram of the mass spectrometer by one Example of this invention, (A) is an example using a multiple circulation ion optical system, (B) is an example using a multiple reflection ion optical system.
  • a multi-circular ion optical system is designed to have a first-order or higher time convergence point with respect to the initial position of ions, the incident angle of ions, and the energy of ions.
  • the time width of the ion packet after going around 100 laps that is, the temporal spread of the same type of ions, is on the order of several tens [ns] at the time convergence point. It is.
  • the period when the ions make one round is approximately on the order of several to several tens [ ⁇ s] under a common-sense acceleration voltage condition. Therefore, if the ion non-destructive detector is ideal and the passage time width of the ion packet can be accurately observed, the ion passage signal observed for the circular motion of one kind of ion is: A peak having a width of about 10 to several tens [ns] is a periodic signal that appears every 10 to several tens [ ⁇ s].
  • FIG. 6 is a schematic diagram showing the state of an observation signal for a single type of ion.
  • an autocorrelation function of the ion passage signal f (t) is calculated.
  • the denominator is a constant factor introduced by definition and is not important for the purpose here.
  • A is a constant. From this, the following two items can be confirmed. (1) In the autocorrelation function, a peak is obtained with respect to a period T included in the signal with respect to an integer multiple of the period not exceeding the signal observation time. (2) The peak width appearing in the autocorrelation function is twice the peak width observed in the original signal.
  • the above (1) is that the autocorrelation function has the property of extracting the periodicity included in the signal, and the observed signal is correlated with the time delay of iT (1 ⁇ i ⁇ n ⁇ 1) due to its property. It is due to that there is.
  • (2) shows that the peak width of the autocorrelation function depends only on the peak width of the observation signal. This is a significant feature in contrast to the fact that the frequency peak width in Fourier transform depends on the signal observation time.
  • the physical meaning of this result is only that the periodicity of 2nT and 2nT + 2 ⁇ T exists in the observed signal f (t) with a width of 2 ⁇ T, respectively, and exists in the original signal f (t).
  • the periods T and T + ⁇ T / n can not be analyzed.
  • the ultimate purpose is to analyze the periodicity of T and T + ⁇ T / n included in the observation signal f (t) with the shortest signal observation time possible. Therefore, further ingenuity is required to increase the periodic resolution.
  • the multiple product given by the above equation (10) is calculated for the autocorrelation function.
  • this is an operation for taking a geometric mean for all values of an integer multiple period that can be observed.
  • the reliability and accuracy of the determination are improved.
  • the autocorrelation function product it is possible to increase the influence of the determination of the autocorrelation function at the maximum number of rotations showing the highest resolution.
  • the signal observation time required to obtain a predetermined resolution is about twice that when a multi-turn ion optical system is used as a time-of-flight mass spectrometer. This is because the peak width of the autocorrelation function is twice the peak width of the observation signal. This signal observation time is much shorter than the value required for the conventional FT / MS as described above.
  • a general multi-turn time-of-flight mass spectrometer requires several hundred rounds in order to achieve a mass resolution of 100,000, and the flight time required is on the order of several to several tens [ms]. Therefore, also in the mass spectrometer according to the present invention, the required flight time is on the order of 10 to 100 [ms].
  • the signal observation time required by the present invention is a value that is about 1 to 2 digits smaller.
  • the mass spectrometry method and the mass spectrometer according to the present invention overcome the problems of the conventional FT-MT / MS with respect to the signal observation time required to achieve a predetermined mass resolution, and Compared with FT / MS, it provides an advantage in terms of signal observation time. Specifically, in the present invention, measurement with almost the same resolution is possible with a signal observation time shorter by one to two digits than other FT / MS, and the measurement throughput is greatly improved. .
  • FIG. 1 is a schematic configuration diagram of a mass spectrometer according to the present embodiment, where (A) is an example using a multi-circular ion optical system, and (B) is an example using a multiple reflection ion optical system.
  • the mass spectrometer shown in FIG. 1 (A) gives an initial kinetic energy to various ions and outputs them all at once, that is, an ion source 1 that starts flight, a plurality of electrodes (not shown), and voltages to the electrodes.
  • a multi-circular ion optical system 3 that repeatedly flies ions along the same circular orbit 6 by the action of a plurality of electric fields formed by electrodes, and an incident orbit 5 emitted from the ion source 1.
  • the ion incident switch 2 for introducing ions traveling along the circular orbit 6 by the multi-circular ion optical system 3 and the number (quantity) of ions passing along the circular orbit 6 of the multi-circular ion optical system 3 and passing therethrough.
  • a signal processing unit 7 that receives the detection signal from the detector 4 and executes the arithmetic processing as described above.
  • the ion injection switch 2 is an orbital deflection element that can be driven in a pulsed manner. While the ion incident switch 2 is on, the ion trajectory is deflected so that ions are introduced from the incident trajectory 5 to the circular orbit 6, and when the switch 2 is off, it can be considered that the switch 2 is not present.
  • the flying ions pass through the switch 2 as they are.
  • the detector 4 can output an electrical signal corresponding to the passage amount of ions that are charged particles by using, for example, electromagnetic induction.
  • the number of ion packets having different periods (that is, masses), the mass of each ion, and the ion intensity are generated by random numbers, and these ion packets are emitted from the ion source 1 and repeated on the orbit 6.
  • a simulation calculation was performed on the ion passage signal obtained by the detector 4 when it was made to fly.
  • the length Lin of the incident orbit 5 is 0.6 [m]
  • the length L of one turn of the circular orbit 6 is 1.0 [m].
  • the distribution of ion packets is an ideal Gaussian distribution, and the ion acceleration voltage is 10 [kV].
  • the detector 4 is ideal so that the passing signal can be accurately observed without any loss of ions.
  • the sampling rate of the ion passage signal is 1 [GHz].
  • the simulation result of the ion passage signal at this time is shown in FIG.
  • the signal observation time is 0 to 100 [ ⁇ s].
  • the mass range that can be introduced into the circular orbit 6 is limited by the size of the apparatus due to its structure.
  • Ions ejected in a pulse form from the ion source 1 at a constant acceleration voltage are introduced into the orbit 6 through the incident trajectory 5 and the ion incident switch 2.
  • the ions simultaneously emitted from the ion source 1 also vary spatially according to the mass before reaching the ion injection switch 2. Therefore, while the ion injection switch 2 is kept on in order to introduce ions having a low speed into the orbit 6, the ions introduced earlier at a higher speed orbit the orbit 6 and reach the ion injection switch 2 again. A situation can occur.
  • the cycle period T i of the ion packet is from the ion source 1 to the detector 4.
  • T i (L / L ′) t i
  • Automatic peak detection is easy. Therefore, based on the flight time of each peak observed within the time range, all of the values that can exist as the cycle of the ion packet introduced into the orbit 6 are defined by the observed peak width. It is possible to calculate within an error range in advance, that is, before calculating an autocorrelation function or the like as described later. Specifically, it can be calculated using a time-of-flight spectrum in a time range of 0 ⁇ t ⁇ t f obtained when ions pass through the detector 4 for the first time.
  • FIG. 3A shows a periodic spectrum obtained by calculating the autocorrelation function product for the observation signal after performing the preliminary period determination as described above for the observation signal shown in FIG.
  • the weighting function W (n T ) is 1.
  • FIG. 3B shows a periodic spectrum corresponding to the number and mass of ion packets generated by random numbers. In the periodic spectrum by the autocorrelation function product shown in FIG. 3A, it can be confirmed that all the generated periods are calculated without omission.
  • FIG. 4 shows the calculation result. It can be seen that the mass identification result obtained from the autocorrelation function product agrees very well with the original data generated. Thereby, it has confirmed that high mass identification accuracy was realizable with the mass spectrometry method and mass spectrometer which concern on this invention.
  • the ions pass through the detector 4 on the forward path and the return path of the reciprocating orbit 6 '. Therefore, the length L of one turn of the orbit 6 corresponds to the reciprocal distance from passing through the detector 4 to passing through the detector 4 in the opposite direction again, as shown in FIG.
  • the length of one round trip of the inner round trip track 6 ′ is 2L.
  • the peak positions that is, the periods are in good agreement, but the relative relationship of the intensity of each peak changes. Since the peak intensity does not affect the qualitative property at all, there is no problem when performing qualitative analysis by mass identification. On the other hand, when quantitative accuracy is required, it is necessary to improve the reproducibility of the peak intensity.
  • the resolution of the periodic spectrum has been improved by calculating the multiple product of the autocorrelation function, but in order to achieve the same effect, another method such as harmonic averaging should be used. You can also.

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Abstract

On a revolving orbit (6) formed of a multiple revolving ion optics system (3), a detector (4) is arranged which is capable of detecting the passing-through ion in a nondestructive manner. The detector (4) acquires a signal for observing a period from launch of ion from an ion source (1) until elapse of a given signal observation time, and a signal processor section (7) calculates multiple products for auto-correlation function of such a signal to determine a periodic spectrum extracting cycles peculiar to each ion. Since the mass and revolving cycle of the ion correspond to each other, a mass spectrum is obtained from a periodic spectrum. A peak width of a cycle which is determined by the auto-correlation function is independent of the signal observation time, and thus separability of a cycle peak can be assured without increasing the signal observation time. Further, calculation of products of the auto-correlation function enables two peaks on the signal which are separated only at the time when revolving is increased in the number of times to be separated on the periodic spectrum as well, thereby improving the mass resolution.

Description

質量分析方法及び質量分析装置Mass spectrometry method and mass spectrometer

 本発明は質量分析方法及び質量分析装置に関し、さらに詳しくは、イオンを周回軌道に沿って飛行させることで質量に応じてイオンを分離するイオン光学系を用いた質量分析方法及び質量分析装置に関する。 The present invention relates to a mass spectrometric method and a mass spectroscope, and more particularly to a mass spectrometric method and a mass spectroscope using an ion optical system that separates ions according to mass by flying ions along a circular orbit.

 一般に、飛行時間型質量分析装置では、一定のエネルギーで加速したイオンが質量に応じた飛行速度を持つという原理に基づき、イオンが一定距離を飛行するのに要する飛行時間を計測しその飛行時間からそのイオンの質量を算出する。したがって、質量分解能を向上させるには飛行距離を延ばすことが有効である。このことを利用し、イオンを閉軌道に沿って多重周回させる多重周回イオン光学系を用い、周回数を増やすことでイオンの飛行距離を延ばし高質量分解能を達成する、多重周回飛行時間型質量分析装置が開発されている(特許文献1、2、3、非特許文献1など参照)。また、同じ目的で、反射用電場によりイオンを複数回反射させることで飛行距離を延ばす、多重反射イオン光学系を用いた多重反射飛行時間型質量分析装置も開発されている。 In general, time-of-flight mass spectrometers measure the flight time required for ions to fly a certain distance based on the principle that ions accelerated with a constant energy have a flight speed according to the mass. The mass of the ion is calculated. Therefore, it is effective to increase the flight distance in order to improve the mass resolution. Using this, a multi-round time-of-flight mass spectrometry that achieves high mass resolution by extending the flight distance of ions by increasing the number of rounds using a multi-round ion optical system that makes multiple rounds of ions along a closed orbit Devices have been developed (see Patent Documents 1, 2, and 3, Non-Patent Document 1, etc.). For the same purpose, a multi-reflection time-of-flight mass spectrometer using a multi-reflection ion optical system has been developed that extends the flight distance by reflecting ions several times with a reflection electric field.

 上記2つの形態の飛行時間型質量分析装置はイオン光学系の構成は異なるものの、同一軌道を繰り返し飛行させることで質量分解能を高めるという原理自体は同じである。本明細書では、多重周回型を例に挙げて説明を行うが、全ての説明は、「周回」という用語を単に「反射」に置き換えるだけで、多重反射型にも適用し得る。したがって、以降、本明細書中で用いる「多重周回」は「多重反射」を含むものとする。 Although the two types of time-of-flight mass spectrometers have different ion optical system configurations, the principle of increasing the mass resolution by repeatedly flying the same trajectory is the same. In the present specification, description will be made by taking a multi-turn type as an example, but all the descriptions can be applied to a multi-reflection type by simply replacing the term “round” with “reflection”. Therefore, hereinafter, “multiple circulation” used in this specification includes “multiple reflection”.

 前述したように、多重周回飛行時間型質量分析装置は高い質量分解能を達成可能であるものの、イオンの飛行経路が閉軌道であることに由来する欠点が存在する。その欠点とは、イオンが周回を重ねるに従い、質量が小さいために速く飛行するイオンが、質量が大きいために遅いイオンを閉軌道上で追い越してしまうことである。このようにイオンの追い越しが起こった状態の下で飛行時間スペクトルを測定すると、異なる周回数を持つ、つまり異なる飛行距離を持つピークがスペクトル上で混在する。その場合、イオンの質量と飛行距離とを一意的に決定することができないため、飛行時間スペクトルから直接的に質量スペクトルを求めることができない。 As described above, although the multi-round time-of-flight mass spectrometer can achieve a high mass resolution, there is a drawback derived from the fact that the ion flight path is a closed orbit. The drawback is that as the ions circulate, ions that fly faster due to the smaller mass overtake slower ions on a closed orbit due to the larger mass. When the time-of-flight spectrum is measured in a state where the overtaking of ions occurs in this way, peaks having different laps, that is, having different flight distances are mixed on the spectrum. In that case, since the mass of the ion and the flight distance cannot be uniquely determined, the mass spectrum cannot be obtained directly from the time-of-flight spectrum.

 こうした欠点があるため、従来、多重周回飛行時間型質量分析装置は、イオン源で生成されたイオンのうち、追い越しの起こらない狭い質量範囲のみを観測するために使用されるのが一般的である。この問題を解決するための一つの手法が特許文献4で提案されている。この提案による質量分析法では、周回軌道へのイオンの入射から出射までの時間を変えて複数回の測定を行うことにより、それぞれ異なる複数の飛行時間スペクトルを取得する。これら飛行時間スペクトルには、周回数が異なる、同一質量のイオンに関するピークが含まれる。そこで、この複数の飛行時間スペクトルの多重相関関数を計算することにより、単一周回数の飛行時間スペクトルを再構成し、これを質量スペクトルに変換する。 Because of these drawbacks, conventionally, a multi-turn time-of-flight mass spectrometer is generally used to observe only a narrow mass range in which no overtaking occurs among ions generated by an ion source. . One technique for solving this problem is proposed in Patent Document 4. In this proposed mass spectrometry, a plurality of different time-of-flight spectra are obtained by performing a plurality of measurements while changing the time from the incidence to the exit of ions to the orbit. These time-of-flight spectra include peaks for ions of the same mass that have different lap times. Therefore, by calculating the multiple correlation function of the plurality of time-of-flight spectra, the time-of-flight spectrum of a single revolution is reconstructed and converted into a mass spectrum.

 しかしながら、上記方法では、多重相関関数演算に供する飛行時間スペクトルの数が少ないと、本来存在しない偽のピークを人工的に生成するおそれがある。そのため、十分な精度を確保するには、多数の飛行時間スペクトルを多重相関関数演算に供する必要があり、そのために測定にかなりの時間が掛かることが避けられない。また、多数回の測定を行うために多量の試料を用意する必要がある。そうしたことから、この手法は理論的には可能であるものの、あまり実用的とは言えない。 However, in the above method, if the number of time-of-flight spectra used for the multiple correlation function calculation is small, there is a possibility that a false peak that does not exist originally is artificially generated. Therefore, in order to ensure sufficient accuracy, it is necessary to use a large number of time-of-flight spectra for the multiple correlation function calculation, and it is therefore inevitable that the measurement takes a considerable amount of time. In addition, it is necessary to prepare a large amount of samples in order to perform many measurements. For this reason, this method is theoretically possible, but it is not very practical.

 上述したイオンの追い越しに関わる問題は、多重周回させたイオンを周回軌道から排出しマイクロチャンネルプレート(MCP)等の検出器により検出する、という構成上、不可避な問題である。そこで、この問題の解決への異なるアプローチとして、多重周回イオン光学系とイオン非破壊型の検出器とを組み合わせ、検出器で得られる信号をフーリエ変換することにより質量スペクトルを得る手法が、特許文献5に提案されている。 The above-described problem related to the overtaking of ions is an unavoidable problem in terms of a configuration in which ions that have been circulated multiple times are discharged from the circular orbit and detected by a detector such as a microchannel plate (MCP). Therefore, as a different approach to solving this problem, a technique for obtaining a mass spectrum by combining a multi-circular ion optical system and an ion non-destructive detector and Fourier-transforming the signal obtained by the detector is disclosed in Patent Literature. 5 is proposed.

 この方法では、多重周回イオン光学系による周期軌道上に、通過するイオンを電磁的に且つ非破壊で(イオンをそのまま維持して)検出することが可能な検出器を設置し、所定期間の信号を取得する。イオンの初期エネルギーが質量に依らず一定であれば、イオンが周回する周波数は質量にのみ依存する。そのため、検出信号にはイオンの質量に依存した周波数を持つ複数の周期的な信号が含まれる。フーリエ変換によりこの信号を周波数スペクトルに変換することができ、周波数と質量との対応から、周波数スペクトルは容易に質量スペクトルに変換することが可能である。これにより、1回の測定のみにより取得した検出信号をフーリエ変換に供することで、目的とする質量スペクトルを得ることができる。 In this method, a detector capable of detecting passing ions electromagnetically and non-destructively (maintaining ions as they are) on a periodic orbit by a multi-circular ion optical system is installed, and a signal for a predetermined period of time is installed. To get. If the initial energy of ions is constant regardless of the mass, the frequency at which the ions circulate depends only on the mass. Therefore, the detection signal includes a plurality of periodic signals having a frequency depending on the mass of ions. This signal can be converted into a frequency spectrum by Fourier transform, and the frequency spectrum can be easily converted into a mass spectrum from the correspondence between the frequency and the mass. Thereby, the target mass spectrum can be obtained by subjecting the detection signal acquired by only one measurement to Fourier transform.

 この方法は、上記多重周回飛行時間型質量分析装置の問題点を回避するうえで優れた質量分析方法であるといえる。以降、本明細書では、この方法を「フーリエ変換多重周回質量分析法(FT-MT/MS)」と呼ぶこととする。 This method can be said to be an excellent mass spectrometry method for avoiding the problems of the multi-round time-of-flight mass spectrometer. Hereinafter, in this specification, this method will be referred to as “Fourier Transform Multiple Loop Mass Spectrometry (FT-MT / MS)”.

 FT-MT/MSのほかにも、フーリエ変換演算を利用した質量分析法(FT/MS)は従来から知られている。代表的なものとしては、一様磁場中におけるイオンのサイクロトロン運動の周波数により質量分析を行う、フーリエ変換イオンサイクロトロン共鳴質量分析法(FT-ICR/MS)がある(非特許文献2参照)。また、近年、特定の形状の静電場内でイオンを往復運動させ、その周波数により質量分析を行う装置も開発されている。 In addition to FT-MT / MS, mass spectrometry (FT / MS) using Fourier transform is conventionally known. A typical example is Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR / MS) in which mass analysis is performed using the frequency of ion cyclotron motion in a uniform magnetic field (see Non-Patent Document 2). In recent years, an apparatus for reciprocating ions in an electrostatic field of a specific shape and performing mass spectrometry using the frequency has been developed.

 前述したようにFT-MT/MSは多重周回飛行時間型質量分析装置の問題点を回避するうえで優れた方法であるが、他のFT/MSと比較して一つ問題がある。それは、所定の質量分解能を得るために必要な信号観測時間に関する問題である。以下に、その問題点を説明する。 As described above, FT-MT / MS is an excellent method for avoiding the problems of the multi-round time-of-flight mass spectrometer, but has one problem compared to other FT / MS. It is a problem related to the signal observation time required to obtain a predetermined mass resolution. The problem will be described below.

 一般に、FT/MSでは、得られる質量分解能は装置の周波数分解能に依存する。また、次に説明するとおり、所定の周波数分解能を得るために必要な信号観測時間は、信号に含まれるイオンの運動の周波数に依存する。 Generally, in FT / MS, the mass resolution obtained depends on the frequency resolution of the apparatus. As will be described below, the signal observation time required for obtaining a predetermined frequency resolution depends on the frequency of ion motion included in the signal.

 FT/MSにおける質量分解能R(=m/Δm)は、装置の周波数分解能f/Δfに比例し、次の(1)式で表せる。
   R=m/Δm=α(f/Δf)  …(1)
ここで、fは質量mのイオンについての運動の周波数、Δfはその周波数ピーク幅である。また、αは装置に依存した定数であり、FT-ICR/MSでは1、FT-MT/MSでは0.5である。
The mass resolution R (= m / Δm) in FT / MS is proportional to the frequency resolution f / Δf of the apparatus and can be expressed by the following equation (1).
R = m / Δm = α (f / Δf) (1)
Here, f is the frequency of motion for ions of mass m, and Δf is the frequency peak width. Α is a constant depending on the device, and is 1 for FT-ICR / MS and 0.5 for FT-MT / MS.

 ここで、フーリエ変換により得られる周波数ピーク幅Δfは、信号観測時間Sと、次の(2)式の関係にあることが簡単な計算により確認できる。
   Δf=1/S   …(2)
即ち、周波数ピーク幅Δfは信号観測時間Sに反比例する。これは、装置の特性に依らない原理的且つ数学的な関係式である。(1)式、(2)式より、一定の質量分解能Rを得るために必要な信号観測時間Sとイオンの運動の周波数fとの関係は、次の(3)式で与えられる。
   S=R/(αf)   …(3)
これより、一定の質量分解能Rを得るために必要な信号観測時間Sは、イオンの運動の周波数fに反比例することが分かる。
Here, it can be confirmed by simple calculation that the frequency peak width Δf obtained by Fourier transform is in the relationship of the signal observation time S and the following equation (2).
Δf = 1 / S (2)
That is, the frequency peak width Δf is inversely proportional to the signal observation time S. This is a fundamental and mathematical relational expression that does not depend on the characteristics of the apparatus. From the equations (1) and (2), the relationship between the signal observation time S necessary for obtaining a constant mass resolution R and the ion motion frequency f is given by the following equation (3).
S = R / (αf) (3)
From this, it can be seen that the signal observation time S necessary for obtaining a constant mass resolution R is inversely proportional to the frequency f of the ion motion.

 ここで、FT-MT/MSとFT-ICR/MSとにおける、それぞれの運動の周波数を比較してみる。まず、FT-MT/MSについて、多重周回イオン光学系による周回軌道1周あたりの飛行距離をL[m]、イオンの加速電圧をV[kV]とすると、質量mの1価イオンについての周回の周波数fMTは、次の(4)式で与えられる。
   fMT=(1/L)√(2eV/m)   …(4)
ここでeは素電荷である。装置条件についての常識的な値として、1周の飛行距離Lを1[m] 、加速電圧Vを10[kV]とすると、(4)式は次の(5)式となる。
   fMT=1.3882×106/√m [Hz]   …(5)
Here, the frequency of each motion in FT-MT / MS and FT-ICR / MS will be compared. First, for FT-MT / MS, if the flight distance per circular orbit by a multi-circular ion optical system is L [m] and the acceleration voltage of ions is V [kV], the circulation for a monovalent ion of mass m The frequency f MT is given by the following equation (4).
f MT = (1 / L) √ (2 eV / m) (4)
Here, e is an elementary charge. As a common-sense value for the apparatus conditions, if the flight distance L of one lap is 1 [m] and the acceleration voltage V is 10 [kV], the equation (4) becomes the following equation (5).
f MT = 1.3882 × 10 6 / √m [Hz] (5)

 次に、FT-ICR/MSについて、一様磁場の磁束密度をB[T]とすると、サイクロトロン運動の周波数は(6)式で与えられる。
   fICR=eB/(2πmL)   …(6)
一般的な装置における典型的な値である磁束密度B=10[T]においては次の(7)式となる。
   fICR=1.5356×108/m [Hz]   …(7)
(5)式及び(7)式により求まる、FT-MT/MSとFT-ICR/MSとのそれぞれについての質量mと運動の周波数fとの関係を、図5に示す。
Next, for FT-ICR / MS, if the magnetic flux density of the uniform magnetic field is B [T], the frequency of the cyclotron motion is given by equation (6).
f ICR = eB / (2πmL) (6)
At a magnetic flux density B = 10 [T] which is a typical value in a general apparatus, the following equation (7) is obtained.
f ICR = 1.5356 × 10 8 / m [Hz] (7)
FIG. 5 shows the relationship between the mass m and the motion frequency f for each of FT-MT / MS and FT-ICR / MS, which is obtained by the equations (5) and (7).

 この図5より、質量にも依るが、FT-MT/MSにおけるイオンの運動の周波数は、FT-ICR/MSと比較して1桁から2桁程度小さいことが分かる。これにより、次の重要な結論が導かれる。FT-MT/MS、FT-ICR/MSのそれぞれで、一定の質量分解能Rを得るために必要な信号観測時間をSMT、SICRとすると、(3)式、(5)式及び(7)式より、(8)式が求まる。
   SMT/SICR=2.2×102/√m   …(8)
即ち、観測する質量にも依存するが、FT-MT/MSでFT-ICR/MSと同一の質量分解能を得るためには、FT-ICR/MSよりも1桁から2桁程度長い信号観測時間が必要となることが分かる。
From FIG. 5, it can be seen that although depending on the mass, the frequency of ion motion in FT-MT / MS is smaller by one to two digits than that in FT-ICR / MS. This leads to the following important conclusions: Assuming that the signal observation times necessary for obtaining a constant mass resolution R in each of FT-MT / MS and FT-ICR / MS are S MT and S ICR , (3), (5) and (7 From equation (8), equation (8) is obtained.
S MT / S ICR = 2.2 × 10 2 / √m (8)
In other words, depending on the observed mass, in order to obtain the same mass resolution with FT-MT / MS as with FT-ICR / MS, the signal observation time is one to two digits longer than with FT-ICR / MS. It is understood that is necessary.

 一例として、質量が1000であるイオンを質量分解能100000で観測する場合を想定すると、FT-ICR/MSでは6.5秒の信号観測時間が必要であるのに対し、FT-MT/MSでは46秒もの長い信号観測時間が必要となる。このように、FT-MT/MSでは他のFT/MS(具体的にはFT-ICR/MS)と比べて同等の質量分解能を達成するために1桁から2桁長い信号観測時間が必要となるため、測定のスループットが著しく低くなってしまう。これがFT-MT/MSにおける一つの問題点である。 As an example, assuming that an ion having a mass of 1000 is observed at a mass resolution of 100,000, a signal observation time of 6.5 seconds is required for FT-ICR / MS, whereas 46 for FT-MT / MS. A signal observation time as long as 2 seconds is required. Thus, FT-MT / MS requires a signal observation time that is one to two digits longer than other FT / MS (specifically, FT-ICR / MS) to achieve the same mass resolution. Therefore, the measurement throughput is significantly reduced. This is one problem in FT-MT / MS.

 上記問題点の原因の1つは、フーリエ変換による周波数ピークの幅が信号観測時間に依存する、というフーリエ変換による信号解析の特性にある。FT-MT/MSでは、信号観測時間を延ばすと、つまり周回数を増やすと質量が近接した2種のイオンによるイオンパケット(時間方向の拡がりを考慮したイオンの集合)も分離される。しかしながら、フーリエ変換の特性上、イオンパケットが分離されていても、信号観測時間を十分にとらないと、周波数スペクトル上では上記2つのイオンパケットに対応した周波数を分離できない。つまり、信号観測時間を延ばして空間的な分離性を上げたにも拘わらず、その分離性の向上が必ずしも質量分解能の向上に十分につながらない。 One of the causes of the above problems lies in the characteristics of signal analysis by Fourier transform, in which the width of the frequency peak by Fourier transform depends on the signal observation time. In FT-MT / MS, when the signal observation time is extended, that is, when the number of laps is increased, ion packets (a set of ions taking into account the spread in the time direction) of two types of ions close to each other in mass are separated. However, due to the characteristics of Fourier transform, even if the ion packets are separated, the frequency corresponding to the two ion packets cannot be separated on the frequency spectrum unless sufficient signal observation time is taken. That is, although the signal observation time is extended to improve the spatial separation, the improvement in the separation does not necessarily lead to the improvement in mass resolution.

特開平11-135060号公報JP 11-1335060 A 特開平11-135061号公報Japanese Patent Application Laid-Open No. 11-135031 特開平11-195398号公報JP 11-195398 A 特開2005-79049号公報JP 2005-79049 A 特開2005-79037号公報JP-A-2005-79037 豊田(M.Toyoda)ほか3名、「マルチターン・タイムオブフライト・マス・スペクトロメーターズ・ウィズ・エレクトロスタティック・セクターズ(Multi-turn time-of-flight mass spectrometers with electrostatic sectors)」、ジャーナル・オブ・マス・スペクトロメトリー(J.Mass Spectrom.)、38, pp.1125-1142、2003年M. Toyoda and three others, “Multi-turn time-of-flight mass spectrometers with electrostatic sectors”, Journal of・ Mass Spectrometry (J. Mass Spectrom.), 38, pp. 1125-1142, 2003 マーシャル(A.G.Marshall)ほか2名、「フーリエ・トランスフォーム・イオン・サイクロトロン・レゾナンス・マス・スペクトロメトリー:ア・プリミエール(Fourier Transform Ion Cyclotron Resonance Mass Spectrometry: A Primier )」、マス・スペクトロメトリー・レビュー(Mass Spectrom. Rev.)、17, pp.1-35、1998年Marshall (AGMarshall) and two others, “Fourier Transform Ion Cyclotron Resonance Mass Spectrometry: Fourier Transform Ion Cyclotron Resonance Mass Spectrometry: A Mass Spectrom. Rev.), 17, pp.1-35, 1998

 本発明は上記課題を解決するために成されたものであり、多重周回イオン光学系とイオン非破壊型検出器とを組み合わせた質量分析装置において、従来のフーリエ変換による信号解析の持つ問題点を克服し、高分解能で且つ高スループット(又は高速性)を達成することを主たる目的としている。 The present invention has been made to solve the above-described problems. In a mass spectrometer that combines a multi-circular ion optical system and an ion non-destructive detector, the problems of conventional signal analysis by Fourier transform are solved. The main purpose is to overcome and achieve high resolution and high throughput (or high speed).

 上記課題を解決するために成された本発明に係る質量分析方法は、試料由来のイオンを周回軌道又は往復軌道に沿って繰り返し飛行させることにより、それらイオンを質量に応じて空間的に分離する多重周回イオン光学系と、前記周回軌道又は往復軌道上を飛行するイオンを非破壊で検出する検出手段と、を備えた質量分析装置を用いた質量分析方法であって、
 前記検出手段により所定時間内に得られる観測信号に対し自己相関関数(ACF:Auto-Correlation Function)を計算することにより、その観測信号の周期性を抽出し周期スペクトルを求め、その周期スペクトルから質量スペクトル又は各イオンの質量を算出する、ことを特徴としている。
The mass spectrometric method according to the present invention, which has been made to solve the above-mentioned problems, spatially separates ions derived from a sample according to the mass by repeatedly flying ions derived from a sample along a circular orbital orbit. A mass spectrometric method using a mass spectroscope comprising a multi-circular ion optical system and a detection means for non-destructively detecting ions flying on the circular orbit or reciprocating orbit,
By calculating an auto-correlation function (ACF: Auto-Correlation Function) for the observation signal obtained within a predetermined time by the detection means, the periodicity of the observation signal is extracted to obtain a periodic spectrum, and the mass is calculated from the periodic spectrum. The spectrum or the mass of each ion is calculated.

 また上記課題を解決するために成された本発明に係る質量分析装置は、上記本発明に係る質量分析方法を実施するための装置であって、
 a)試料由来のイオンを周回軌道又は往復軌道に沿って繰り返し飛行させることにより、それらイオンを質量に応じて空間的に分離する多重周回イオン光学系と、
 b)前記周回軌道又は往復軌道上を飛行するイオンを非破壊で検出する検出手段と、
 c)前記検出手段により所定の信号観測時間内に得られる観測信号に対し自己相関関数を計算することにより、その観測信号の周期性を抽出し周期スペクトルを求める演算処理手段と、
 d)前記周期スペクトルから質量スペクトル又は各イオンの質量を算出する換算処理手段と、
 を備えることを特徴としている。
A mass spectrometer according to the present invention made to solve the above problems is an apparatus for carrying out the mass spectrometry method according to the present invention,
a) a multi-circular ion optical system that spatially separates ions according to mass by repeatedly flying ions derived from a sample along a circular or reciprocating orbit;
b) non-destructive detection means for detecting ions flying on the orbit or reciprocating orbit,
c) an arithmetic processing means for extracting a periodicity of the observed signal and calculating a periodic spectrum by calculating an autocorrelation function for the observed signal obtained within a predetermined signal observation time by the detecting means;
d) conversion processing means for calculating the mass spectrum or the mass of each ion from the periodic spectrum;
It is characterized by having.

 イオンが多重周回イオン光学系の外側に配置されたイオン源より出射された時点から所定の信号観測時間が経過するまでの間に、上記検出手段により観測される信号は、通過するイオンに関する情報を全て含む。即ち、或る質量を有するイオンが周回軌道を1周する毎(又は往復軌道を片道分進行する毎)に、そのイオンに対するピークが現れる筈であり、このピークは質量に応じた周期を持つ。異なる質量を有するイオンが複数種混在している場合には、上記のような周期性を持つピークが混在したり、場合によっては重なったりしたものとなる。本発明では、こうした観測信号に対し、フーリエ変換ではなく自己相関関数を利用して信号解析を行う。自己相関関数は、直感的には、或る時刻における観測信号が、それから一定時間経過した後の信号とどれだけ相関があるのかを表す関数である。したがって、自己相関の高い信号を見つけることで、上述した各種イオンの質量に応じたピークの周期性を抽出することができる。 The signal observed by the detection means from when the ions are emitted from the ion source arranged outside the multi-circular ion optical system until the predetermined signal observation time elapses indicates information on the ions passing therethrough. Includes all. That is, every time an ion having a certain mass makes a round orbit (or travels one way along the reciprocating orbit), a peak for that ion should appear, and this peak has a period corresponding to the mass. When a plurality of types of ions having different masses are mixed, the peaks having the periodicity as described above are mixed or sometimes overlapped. In the present invention, signal analysis is performed on such an observation signal using an autocorrelation function instead of Fourier transform. Intuitively, the autocorrelation function is a function that indicates how much an observed signal at a certain time is correlated with a signal after a certain period of time has elapsed. Therefore, by finding a signal having a high autocorrelation, it is possible to extract the periodicity of the peak according to the mass of the various ions described above.

 ここで利用される自己相関関数として、信号観測時間S内に得られる観測信号f(t)(但し0≦t≦S)に対し、次の(9)式で定義される自己相関関数C(τ)(0≦τ≦S)を用いることができる。また、(9)式の分母は重要ではないので、次式の分子のみを利用することもできる。

Figure JPOXMLDOC01-appb-M000001
As an autocorrelation function used here, an autocorrelation function C () defined by the following equation (9) with respect to an observation signal f (t) (0 ≦ t ≦ S) obtained within the signal observation time S: τ) (0 ≦ τ ≦ S) can be used. Also, since the denominator of equation (9) is not important, only the numerator of the following equation can be used.
Figure JPOXMLDOC01-appb-M000001

 理論上の詳しい説明は後述するが、自己相関関数に現れるピークの幅は本来の時間領域のピーク幅の2倍となり、計算原理上、信号観測時間には依存しない。これに対し、従来のFT-MT/MSで利用されているフーリエ変換による周波数ピークの幅は、計算原理の上でも信号観測時間に依存している。したがって、本発明に係る質量分析方法及び質量分析装置においては、質量が近い2つのイオンパケットに対し信号観測時間を延ばして少なくとも空間上でそれらイオンパケットが分離した状態であれば、演算処理によって各イオンパケットに対応した周期を分離して、それぞれの質量を計算できる可能性がある。 Although the theoretical explanation will be described later in detail, the peak width appearing in the autocorrelation function is twice the peak width in the original time domain and does not depend on the signal observation time in terms of the calculation principle. On the other hand, the width of the frequency peak by the Fourier transform used in the conventional FT-MT / MS depends on the signal observation time even in terms of the calculation principle. Therefore, in the mass spectrometry method and the mass spectrometer according to the present invention, the signal observation time is extended with respect to two ion packets having close masses, and at least the ion packets are separated in space. There is a possibility that the respective masses can be calculated by separating the periods corresponding to the ion packets.

 但し、単に自己相関関数による処理を行っただけでは、観測信号上では分離されている2種のイオンに対する周期が分離できないケースがある。これは、2種のイオンの質量がきわめて近く、多数回周回した後に初めて観測信号上で分離が確認できるようなケースである。そこで、観測信号上では分離されているイオンに対する周期の分解能を向上させるために、本発明では、観測信号の自己相関関数に対し、例えば次のような演算処理を実行することが好ましい。 However, there are cases in which the period for two types of ions that are separated on the observation signal cannot be separated by simply performing processing using the autocorrelation function. This is a case where the masses of the two types of ions are very close and separation can be confirmed on the observation signal only after many rounds. Therefore, in order to improve the resolution of the period for ions separated on the observation signal, in the present invention, for example, the following arithmetic processing is preferably performed on the autocorrelation function of the observation signal.

 即ち、演算処理の手法の1つとして、上記自己相関関数において得られる結果について、次の(10)式により自己相関関数積F(T)を求めるようにするとよい。

Figure JPOXMLDOC01-appb-M000002
 ここで、W(nT)は重み関数であり、1又はnTを変数とした所定の関数を用いることができる。[x]はxを超えない最大の整数を表す。 That is, as one of arithmetic processing methods, the autocorrelation function product F (T) may be obtained from the following equation (10) for the result obtained in the autocorrelation function.
Figure JPOXMLDOC01-appb-M000002
Here, W (n T ) is a weight function, and a predetermined function with 1 or n T as a variable can be used. [x] represents a maximum integer not exceeding x.

 これは、多重周回イオン光学系により観測される信号の自己相関関数C(s)が、s=Tにおいて有意な値C(T)を持つ場合に、C(2T)、C(3T)、…、C(NT)も有意な値を持つ、という原理を利用している。C(τ)においてτ=T付近で分離されていない2つのピークがτ=NT付近では分離されているとすれば、その2つのピークが分離されないとして算出された信号の周期性は、上記式の演算により否定されることになる。即ち、自己相関関数の演算だけでは分離されなかった、ごく近い2種のイオンに対応する周期が分離されるようになる。このようにして、周期分解能を多重周回イオン光学系により達成された飛行時間分解能と同程度まで向上させることができる。 This is because C (2T), C (3T),... When the autocorrelation function C (s) of the signal observed by the multi-circular ion optical system has a significant value C (T) at s = T. , C (NT) also has a significant value. If two peaks that are not separated in the vicinity of τ = T in C (τ) are separated in the vicinity of τ = NT, the periodicity of the signal calculated that the two peaks are not separated is It will be negated by the operation. In other words, periods corresponding to two very close ions that are not separated only by the calculation of the autocorrelation function are separated. In this way, the periodic resolution can be improved to the same degree as the time-of-flight resolution achieved by the multi-circular ion optical system.

 上記演算処理をより一般化すれば、観測信号に対する自己相関関数に基づいて周期スペクトルを求めるに際し、1つの或る周期について、その整数倍周期の時間遅延における自己相関関数の値を用い、小さい関数値により大きな重みを与えて該関数値を参照した演算処理であると言うことができる。 If the above arithmetic processing is more generalized, when obtaining a periodic spectrum based on the autocorrelation function for the observation signal, a small function is used by using the value of the autocorrelation function in a time delay of an integral multiple period for one period. It can be said that this is an arithmetic process in which a larger weight is given to the value and the function value is referred to.

 上記自己相関関数積は、多重周回イオン光学系の飛行周期に対する信号強度、即ち、周期スペクトルを直接的に表す。イオンの加速電圧が一定である場合、1周の周期はイオンの質量に依存する。したがって、自己相関関数積による周期スペクトルは質量スペクトルと実質的に等価であり、容易に質量を計算することができる。 The autocorrelation function product directly represents the signal intensity with respect to the flight period of the multi-turn ion optical system, that is, the periodic spectrum. When the acceleration voltage of ions is constant, the cycle of one round depends on the mass of ions. Therefore, the periodic spectrum based on the autocorrelation function product is substantially equivalent to the mass spectrum, and the mass can be easily calculated.

 本発明に係る質量分析方法及び質量分析装置によれば、従来のFT-MT/MSに比べて2桁又は3桁程度短い信号観測時間で以て、飛行距離を延ばした分に見合う十分に高い質量分解能を得ることができる。また、多重周回の測定は1回だけで済み、従来の多重相関関数を利用したMT/MSのように同一試料について何回も測定を繰り返す必要はない。したがって、総合的な測定時間も短くて済み、1回の測定に必要な分だけ試料を用意すればよい。 According to the mass spectrometry method and the mass spectrometer according to the present invention, the signal observation time is shorter than that of the conventional FT-MT / MS by about two digits or three digits, which is sufficiently high to meet the extended flight distance. Mass resolution can be obtained. Further, multiple rounds of measurement need only be performed once, and it is not necessary to repeat the measurement for the same sample many times as in the case of MT / MS using a conventional multiple correlation function. Accordingly, the total measurement time can be shortened, and samples need only be prepared as much as necessary for one measurement.

本発明の一実施例による質量分析装置の概略構成図であり、(A)は多重周回イオン光学系を用いた例、(B)は多重反射イオン光学系を用いた例。It is a schematic block diagram of the mass spectrometer by one Example of this invention, (A) is an example using a multiple circulation ion optical system, (B) is an example using a multiple reflection ion optical system. 検出器で観測されるイオン通過信号のシミュレーション結果を示す図。The figure which shows the simulation result of the ion passage signal observed with a detector. 観測信号に対し自己相関関数積を計算して得られる周期スペクトルを示す図(A)及び元データに基づいて得られる周期スペクトルを示す図(B)。The figure which shows the periodic spectrum obtained by calculating an autocorrelation function product with respect to an observation signal, and the figure which shows the periodic spectrum obtained based on original data (B). 全てのイオンパケットの質量同定の計算結果を示す図。The figure which shows the calculation result of the mass identification of all the ion packets. FT-MT/MSとFT-ICR/MSとのそれぞれについての質量と運動周波数との関係を示す図。The figure which shows the relationship between the mass and the motion frequency about each of FT-MT / MS and FT-ICR / MS. 多重周回イオン光学系で得られる単一のイオンに対する観測信号の概略図。The schematic of the observation signal with respect to the single ion obtained with a multi-circular ion ion system.

符号の説明Explanation of symbols

1…イオン源
2…イオン入射スイッチ
3…多重周回イオン光学系
3’…多重反射イオン光学系
4…検出器
5…入射軌道
6…周回軌道
6’…往復軌道
7…信号処理部
DESCRIPTION OF SYMBOLS 1 ... Ion source 2 ... Ion entrance switch 3 ... Multiple round ion optical system 3 '... Multiple reflection ion optical system 4 ... Detector 5 ... Incidence track 6 ... Round track 6' ... Round track 7 ... Signal processing part

 本発明に係る質量分析方法における質量同定方法の原理を以下に説明する。 The principle of the mass identification method in the mass spectrometry method according to the present invention will be described below.

 まず、多重周回イオン光学系においてイオン非破壊型検出器を用いた場合に観測される信号について述べる。一般的に、多重周回イオン光学系は、イオンの初期位置、イオンの入射角度、及び、イオンが持つエネルギー、に対する1次以上の時間収束点を持つように設計される。そのイオン光学系の構造と初期条件とに依るが、100周程度周回した後のイオンパケットの時間幅、つまり同一種のイオンの時間的な拡がりは時間収束点においておおよそ数十[ns]のオーダーである。一方、イオンが1周するときの周期は、常識的な加速電圧条件の下では、おおよそ数~数十[μs]のオーダーである。したがって、イオン非破壊型検出器が理想的であってイオンパケットの通過時間幅を正確に観測することができるものとすると、1種のイオンの周回運動に対して観測されるイオン通過信号は、10~数十[ns]程度の幅のピークが10~数十[μs]程度毎に現れる周期的な信号となる。図6は単一種のイオンに対する観測信号の様子を示す概略図である。 First, the signals observed when an ion nondestructive detector is used in a multi-circular ion optical system will be described. In general, a multi-circular ion optical system is designed to have a first-order or higher time convergence point with respect to the initial position of ions, the incident angle of ions, and the energy of ions. Depending on the structure of the ion optical system and the initial conditions, the time width of the ion packet after going around 100 laps, that is, the temporal spread of the same type of ions, is on the order of several tens [ns] at the time convergence point. It is. On the other hand, the period when the ions make one round is approximately on the order of several to several tens [μs] under a common-sense acceleration voltage condition. Therefore, if the ion non-destructive detector is ideal and the passage time width of the ion packet can be accurately observed, the ion passage signal observed for the circular motion of one kind of ion is: A peak having a width of about 10 to several tens [ns] is a periodic signal that appears every 10 to several tens [μs]. FIG. 6 is a schematic diagram showing the state of an observation signal for a single type of ion.

 この信号の解析的なモデルとしてピークをガウス分布で与え、次の(11)式によるイオン通過信号f(t)を仮定する。

Figure JPOXMLDOC01-appb-M000003
これは、半値幅がΔtであるピークが周期Tでn周回分、観測された場合の信号のモデルである。ここで、Δt<<T、である。 As an analytical model of this signal, a peak is given by a Gaussian distribution, and an ion passage signal f (t) according to the following equation (11) is assumed.
Figure JPOXMLDOC01-appb-M000003
This is a model of a signal when a peak having a half-value width of Δt is observed for n cycles in a period T. Here, Δt << T.

 次に、上記イオン通過信号f(t)の自己相関関数を計算する。自己相関関数のうち分母は定義上導入した定数因子であり、ここでの目的に対して重要ではないため、分子のみに着目して計算すると、次の(12)式となる。

Figure JPOXMLDOC01-appb-M000004
ここでAは定数である。このより、次の2つの項目を確認することができる。
 (1)自己相関関数では、信号に含まれる周期Tについて、信号観測時間を越えないその整数倍の周期に対してピークが得られる。
 (2)自己相関関数に現れるピーク幅は、元の信号に観測されるピーク幅の2倍となる。 Next, an autocorrelation function of the ion passage signal f (t) is calculated. Of the autocorrelation functions, the denominator is a constant factor introduced by definition and is not important for the purpose here.
Figure JPOXMLDOC01-appb-M000004
Here, A is a constant. From this, the following two items can be confirmed.
(1) In the autocorrelation function, a peak is obtained with respect to a period T included in the signal with respect to an integer multiple of the period not exceeding the signal observation time.
(2) The peak width appearing in the autocorrelation function is twice the peak width observed in the original signal.

 上記(1)は、自己相関関数が信号に含まれる周期性を抽出する性質をもつこと、及び、観測信号はその性質上、iT(1≦i≦n-1)の時間遅延に対して相関があること、によるものである。一方、(2)は、自己相関関数のピーク幅が観測信号のピーク幅にのみ依存することを示している。これは、フーリエ変換における周波数ピーク幅が信号観測時間に依存することと対比すると、大きな特長である。 The above (1) is that the autocorrelation function has the property of extracting the periodicity included in the signal, and the observed signal is correlated with the time delay of iT (1 ≦ i ≦ n−1) due to its property. It is due to that there is. On the other hand, (2) shows that the peak width of the autocorrelation function depends only on the peak width of the observation signal. This is a significant feature in contrast to the fact that the frequency peak width in Fourier transform depends on the signal observation time.

 いまここで、n周の周回を重ねることによって初めて分離できる2つのイオンパケットが存在する場合を想定する。それぞれのイオンパケットのピーク全幅はΔTであり、周回の周期はT及びT+ΔT/n、であると定義する。これは上記推定のとおり、2つのイオンパケットがn周回後に初めて互いの裾により分離されるピーク幅と周期差とを持っている状態である。これらのイオンパケットが2n周回以上周回を繰り返した間の信号をイオン非破壊型検出器により観測したものとし、それをf(t)とする。このとき、上記定義によれば、t=nT付近では裾でもって分離された2つのピークが観測され、t=2nT付近ではさらにピーク間隔がΔTだけ開いた状態となっている。 Here, it is assumed that there are two ion packets that can be separated for the first time by overlapping n turns. It is defined that the peak full width of each ion packet is ΔT, and the cycle period is T and T + ΔT / n. As described above, this is a state in which two ion packets have a peak width and a period difference that are separated by each other for the first time after n rounds. It is assumed that a signal while these ion packets are repeated 2n times or more is observed by an ion non-destructive detector, which is f (t). At this time, according to the above definition, two peaks separated by the tail are observed in the vicinity of t = nT, and the peak interval is further opened by ΔT in the vicinity of t = 2nT.

 この観測信号f(t)について自己相関関数を計算する。すると、前述したように、自己相関関数のピーク幅は観測信号のピーク幅の2倍となるから、t=nT付近に半値幅で分離された2つのピークが現れ、t=2nT付近に裾で分離された2つのピークが、τ=2nT及びτ=2nT+2ΔT、の位置に現れる。しかしながら、この結果の表す物理的な意味は、観測信号f(t)に2nT及び2nT+2ΔTの周期性がそれぞれ2ΔTの幅をもって存在する、ということだけであり、元の信号f(t)に存在する周期T及びT+ΔT/nをそれぞれ分析できているわけではない。最終的な目的は、観測信号f(t)に含まれるT及びT+ΔT/n、の周期性を可能な限り短い信号観測時間で分析することである。したがって、周期分解能を上げるための更なる工夫が必要である。 The autocorrelation function is calculated for this observation signal f (t). Then, as described above, since the peak width of the autocorrelation function is twice the peak width of the observed signal, two peaks separated by a half-value width appear near t = nT, and have a tail near t = 2nT. Two separated peaks appear at the positions of τ = 2nT and τ = 2nT + 2ΔT. However, the physical meaning of this result is only that the periodicity of 2nT and 2nT + 2ΔT exists in the observed signal f (t) with a width of 2ΔT, respectively, and exists in the original signal f (t). The periods T and T + ΔT / n can not be analyzed. The ultimate purpose is to analyze the periodicity of T and T + ΔT / n included in the observation signal f (t) with the shortest signal observation time possible. Therefore, further ingenuity is required to increase the periodic resolution.

 ここで、再び、多重周回イオン光学系で観測されるイオン通過信号に対する自己相関関数の性質に注目する。この自己相関関数においては、上記(1)に示されるように、イオンの周回の周期だけでなく、その信号観測時間を越えない範囲で、整数倍の周期についてもピークが現れることが分かっている。換言すれば、或る周期について有意な値が算出されていたとしても、信号観測時間を越えない範囲で、全ての整数倍の周期においても同様に有意な値が算出されなければ、その算出された周期は、単に、他の隣接して存在する周期の幅の範囲内であるか、又は何らかのノイズによるものにすぎないと判断することができる。具体的には、上記例において、τ=2nT及びτ=2nT+2ΔT、に分離されたピークが現れている状態は、観測信号にτ=2nT+ΔTの周期性が含まれないこと、ひいては、その原因となるτ=T+ΔT/2nの周期性も存在し得ないことを示唆している。 Here, attention is again paid to the nature of the autocorrelation function for the ion passage signal observed in the multi-circular ion optical system. In this autocorrelation function, as shown in (1) above, it is known that peaks appear not only in the cycle of ions, but also in an integer multiple cycle within a range not exceeding the signal observation time. . In other words, even if a significant value is calculated for a certain period, if a significant value is not calculated for all integer multiple periods within the range not exceeding the signal observation time, the calculated value is calculated. It can be determined that the period is simply within the width of other adjacent periods or is due to some noise. Specifically, in the above example, the state where the peaks separated at τ = 2nT and τ = 2nT + 2ΔT appear is that the observation signal does not include the periodicity of τ = 2nT + ΔT, and this is the cause. It suggests that the periodicity of τ = T + ΔT / 2n cannot exist.

 以上の考察に基づき、本発明に係る質量分析方法の一形態では、自己相関関数に対し上記(10)式で与えられる多重積を計算することとする。この式の表現から明らかなように、これは観測され得る整数倍の周期全ての値について相乗平均をとる演算であると言える。全ての整数倍周期に亘る値を参照することで、その判定の信頼性及び精度を向上させる。さらに、自己相関関数積の演算により、最も高い分解能を示す最大周回数における自己相関関数の判定の影響度を高めることができる。 Based on the above consideration, in one form of the mass spectrometry method according to the present invention, the multiple product given by the above equation (10) is calculated for the autocorrelation function. As is clear from the expression of this equation, it can be said that this is an operation for taking a geometric mean for all values of an integer multiple period that can be observed. By referring to the values over all integer multiple cycles, the reliability and accuracy of the determination are improved. Furthermore, by calculating the autocorrelation function product, it is possible to increase the influence of the determination of the autocorrelation function at the maximum number of rotations showing the highest resolution.

 上記演算において、所定の分解能(周期分解能)を得るために必要な信号観測時間は、多重周回イオン光学系を飛行時間型質量分析装置として利用した場合の2倍程度である。これは、自己相関関数のピーク幅が観測信号のピーク幅の2倍となることによる。この信号観測時間は前述したような従来のFT/MSに必要な値と比べて格段に小さい。一般的な多重周回飛行時間型質量分析装置では質量分解能100000を達成するためにおおよそ数百周の周回が必要であって、それに要する飛行時間は数~数十[ms]のオーダーである。したがって、本発明に係る質量分析装置でも、必要な飛行時間は10~100[ms]のオーダーである。これに対し、例えばFT-ICR/MSにおいて、同等の質量分解能を達成するには数[s]の信号観測時間が必要である。したがって、本発明の要求する信号観測時間は1桁から2桁程度小さい値であると言える。 In the above calculation, the signal observation time required to obtain a predetermined resolution (periodic resolution) is about twice that when a multi-turn ion optical system is used as a time-of-flight mass spectrometer. This is because the peak width of the autocorrelation function is twice the peak width of the observation signal. This signal observation time is much shorter than the value required for the conventional FT / MS as described above. A general multi-turn time-of-flight mass spectrometer requires several hundred rounds in order to achieve a mass resolution of 100,000, and the flight time required is on the order of several to several tens [ms]. Therefore, also in the mass spectrometer according to the present invention, the required flight time is on the order of 10 to 100 [ms]. On the other hand, for example, in FT-ICR / MS, several [s] of signal observation time is required to achieve the same mass resolution. Therefore, it can be said that the signal observation time required by the present invention is a value that is about 1 to 2 digits smaller.

 このように本発明に係る質量分析方法及び質量分析装置は、所定の質量分解能を達成するのに必要な信号観測時間について、従来のFT-MT/MSの問題点を克服し、さらに、他のFT/MSと比べても信号観測時間に関する優位性をもたらすものである。具体的には、本発明では、他のFT/MSに比べて1桁から2桁程度短い信号観測時間で以て、ほぼ同等の分解能での測定が可能となり、測定のスループットが大幅に向上する。 As described above, the mass spectrometry method and the mass spectrometer according to the present invention overcome the problems of the conventional FT-MT / MS with respect to the signal observation time required to achieve a predetermined mass resolution, and Compared with FT / MS, it provides an advantage in terms of signal observation time. Specifically, in the present invention, measurement with almost the same resolution is possible with a signal observation time shorter by one to two digits than other FT / MS, and the measurement throughput is greatly improved. .

 本発明に係る質量分析方法を適用した質量分析装置の実施例の構成とシミュレーション計算に基づく動作とを、添付の図面を参照して説明する。図1は本実施例による質量分析装置の概略構成図であって、(A)は多重周回イオン光学系を用いた例、(B)は多重反射イオン光学系を用いた例である。 The configuration of an embodiment of a mass spectrometer to which a mass spectrometry method according to the present invention is applied and the operation based on simulation calculation will be described with reference to the accompanying drawings. FIG. 1 is a schematic configuration diagram of a mass spectrometer according to the present embodiment, where (A) is an example using a multi-circular ion optical system, and (B) is an example using a multiple reflection ion optical system.

 図1(A)に示した質量分析装置は、各種イオンに初期的な運動エネルギーを与えて一斉に出射させる、つまり飛行を開始させるイオン源1と、図示しない複数の電極と該電極に電圧を印加する電源部とを含み、電極により形成される複数の電場の作用によりイオンを同一の周回軌道6に沿って繰り返し飛行させる多重周回イオン光学系3と、イオン源1から出射されて入射軌道5に沿って進むイオンを多重周回イオン光学系3による周回軌道6に導入するためのイオン入射スイッチ2と、多重周回イオン光学系3の周回軌道6に沿って配置され、通過するイオンの数(量)に応じた検出信号を出力するイオン非破壊型の検出器4と、検出器4による検出信号を受けて上述したような演算処理を実行する信号処理部7と、を備える。 The mass spectrometer shown in FIG. 1 (A) gives an initial kinetic energy to various ions and outputs them all at once, that is, an ion source 1 that starts flight, a plurality of electrodes (not shown), and voltages to the electrodes. A multi-circular ion optical system 3 that repeatedly flies ions along the same circular orbit 6 by the action of a plurality of electric fields formed by electrodes, and an incident orbit 5 emitted from the ion source 1. The ion incident switch 2 for introducing ions traveling along the circular orbit 6 by the multi-circular ion optical system 3 and the number (quantity) of ions passing along the circular orbit 6 of the multi-circular ion optical system 3 and passing therethrough. ), And a signal processing unit 7 that receives the detection signal from the detector 4 and executes the arithmetic processing as described above.

 イオン入射スイッチ2はパルス的な駆動が可能な軌道偏向素子である。イオン入射スイッチ2がオンの間はイオンを入射軌道5から周回軌道6へ導入するようイオン軌道を偏向させ、スイッチ2がオフであるときにはこのスイッチ2はないものとみなせるから、周回軌道6上を飛行するイオンはそのままスイッチ2を通過する。検出器4は例えば電磁誘導作用などを利用して荷電粒子であるイオンの通過量に対応した電気信号を出力するものとすることができる。 The ion injection switch 2 is an orbital deflection element that can be driven in a pulsed manner. While the ion incident switch 2 is on, the ion trajectory is deflected so that ions are introduced from the incident trajectory 5 to the circular orbit 6, and when the switch 2 is off, it can be considered that the switch 2 is not present. The flying ions pass through the switch 2 as they are. The detector 4 can output an electrical signal corresponding to the passage amount of ions that are charged particles by using, for example, electromagnetic induction.

 上記構成において、異なる周期(つまり質量)を持つイオンパケットの数、それぞれのイオンの質量、及びイオン強度を乱数により生成し、それらのイオンパケットをイオン源1から出射させて周回軌道6上を繰り返し飛行させた場合に検出器4で得られるイオン通過信号をシミュレーション計算した。計算の条件として、入射軌道5の長さLinは0.6[m]、周回軌道6の1周の長さLは1.0[m]であるとした。また、イオンパケットの分布は理想的なガウス分布であるとし、イオン加速電圧を10[kV]とした。また、検出器4は、イオンを全くロスすることなくその通過信号を正確に観測できる理想的なものであるとした。さらに、イオン通過信号のサンプリングレートは1[GHz]であるとした。このときのイオン通過信号のシミュレーション結果を図2に示す。信号観測時間は0~100[μs]である。 In the above configuration, the number of ion packets having different periods (that is, masses), the mass of each ion, and the ion intensity are generated by random numbers, and these ion packets are emitted from the ion source 1 and repeated on the orbit 6. A simulation calculation was performed on the ion passage signal obtained by the detector 4 when it was made to fly. As calculation conditions, the length Lin of the incident orbit 5 is 0.6 [m], and the length L of one turn of the circular orbit 6 is 1.0 [m]. The distribution of ion packets is an ideal Gaussian distribution, and the ion acceleration voltage is 10 [kV]. The detector 4 is ideal so that the passing signal can be accurately observed without any loss of ions. Further, the sampling rate of the ion passage signal is 1 [GHz]. The simulation result of the ion passage signal at this time is shown in FIG. The signal observation time is 0 to 100 [μs].

 このようなイオン通過信号に対し上述したような特徴的な信号解析演算を施すわけであるが、自己相関関数の積分を全ての時間領域に亘って行うことは無駄が多い。そこで、多重周回イオン光学系における観測信号に対し、自己相関関数の計算を行う前に小規模且つ単純な周期判定を行うことで、一連の信号解析演算を行うべき周期を大まかに抽出することが望ましい。この点を詳しく述べる。 Although the characteristic signal analysis calculation as described above is performed on such an ion passage signal, it is wasteful to perform integration of the autocorrelation function over the entire time domain. Therefore, it is possible to roughly extract a period for performing a series of signal analysis operations by performing a small-scale and simple period determination on the observation signal in the multi-circular ion optical system before calculating the autocorrelation function. desirable. This point will be described in detail.

 まず、多重周回イオン光学系3では、その構造上、周回軌道6に導入可能な質量範囲が装置寸法により制限されることを説明する。イオン源1より、一定の加速電圧でパルス的に排出されたイオンは、入射軌道5、イオン入射スイッチ2を通り周回軌道6へと導入される。イオン源1から同時に出射したイオンも、イオン入射スイッチ2に到達するまでに質量に応じて空間的にばらつく。そのため、速度が遅いイオンを周回軌道6に導入するためにイオン入射スイッチ2をオンに保つ間に、速度が速く先に導入されたイオンは周回軌道6を周回し再びイオン入射スイッチ2にまで到達してしまう状況が起こり得る。この場合、先に周回軌道6に導入された軽いイオンか、後から周回軌道6に導入しようとしている重いイオンのいずれか一方しか、周回軌道6上を飛行させ続けることができない。このように、周回軌道6に導入可能な質量範囲は、入射軌道5や周回軌道6の長さによる制限を受けることとなる。 First, in the multi-circular ion optical system 3, it will be described that the mass range that can be introduced into the circular orbit 6 is limited by the size of the apparatus due to its structure. Ions ejected in a pulse form from the ion source 1 at a constant acceleration voltage are introduced into the orbit 6 through the incident trajectory 5 and the ion incident switch 2. The ions simultaneously emitted from the ion source 1 also vary spatially according to the mass before reaching the ion injection switch 2. Therefore, while the ion injection switch 2 is kept on in order to introduce ions having a low speed into the orbit 6, the ions introduced earlier at a higher speed orbit the orbit 6 and reach the ion injection switch 2 again. A situation can occur. In this case, only one of light ions previously introduced into the circular orbit 6 or heavy ions to be introduced into the circular orbit 6 later can continue to fly on the circular orbit 6. Thus, the mass range that can be introduced into the orbit 6 is limited by the length of the incident orbit 5 and the orbit 6.

 周回軌道6に導入できる最小の質量をmmin、最大の質量をmmaxとすると、簡単な考察から、次の(13)式の関係が成立することが分かる。
   mmax/mmin={1+(L/Lin)}2   …(13)
信号処理部7におけるイオン通過信号のサンプリングの開始がイオン源1からのイオン出射と同時であるとすると、イオン通過信号においてピークが最初に観測された時刻、即ち最小の質量を持つイオンパケットの通過時刻がt1である場合、周回軌道6に導入可能な最大の質量イオンパケットの通過時刻tfは次の(14)式で与えられる。
   tf={1+(L/Lin)}t1   …(14)
したがって、検出器4における観測信号のうちの0≦t<tfの時間範囲は、追い越しのない通常の飛行時間スペクトルに対応することが分かる。
Assuming that the minimum mass that can be introduced into the orbit 6 is mmin and the maximum mass is mmax, it is understood from the simple consideration that the relationship of the following equation (13) holds.
mmax / mmin = {1+ (L / Lin)} 2 (13)
Assuming that the sampling of the ion passage signal in the signal processing unit 7 starts at the same time as the ion emission from the ion source 1, the time when the peak is first observed in the ion passage signal, that is, the passage of the ion packet having the minimum mass is passed. When the time is t 1 , the passage time t f of the maximum mass ion packet that can be introduced into the orbit 6 is given by the following equation (14).
t f = {1+ (L / Lin)} t 1 (14)
Therefore, it can be seen that the time range of 0 ≦ t <t f in the observation signal in the detector 4 corresponds to a normal time-of-flight spectrum without overtaking.

 この時間範囲に観測された任意のピークについて、その時刻、即ち検出器4に到達するまでの飛行時間をtiとすると、そのイオンパケットの周回の周期Tiは、イオン源1から検出器4までの距離をL’として、次の(15)式から容易に求めることができる。
   Ti=(L/L’)ti   …(15)
ピークの自動検出は容易に行える。そこで、当該時間範囲内に観測される各ピークの飛行時間に基づいて、周回軌道6に導入されたイオンパケットの周回の周期として存在し得る値の全てを、観測されたピーク幅で規定される誤差の範囲で予め、つまり後述するような自己相関関数などの計算を行う以前に、算出することが可能である。具体的に言えば、イオンが初めて検出器4を通過する際に得られる、0≦t<tfの時間範囲の飛行時間スペクトルを用いて算出することができる。
With respect to an arbitrary peak observed in this time range, assuming that the time, i.e., the flight time until reaching the detector 4, is t i , the cycle period T i of the ion packet is from the ion source 1 to the detector 4. Can be easily obtained from the following equation (15).
T i = (L / L ′) t i (15)
Automatic peak detection is easy. Therefore, based on the flight time of each peak observed within the time range, all of the values that can exist as the cycle of the ion packet introduced into the orbit 6 are defined by the observed peak width. It is possible to calculate within an error range in advance, that is, before calculating an autocorrelation function or the like as described later. Specifically, it can be calculated using a time-of-flight spectrum in a time range of 0 ≦ t <t f obtained when ions pass through the detector 4 for the first time.

 この準備的な周期判定処理によって算出されない周期については、後に自己相関関数及び自己相関関数積を計算してもノイズとなるだけである。したがって、このように準備的な周期判定を行って存在し得ないと推定される周期を計算から除くことで、計算量を大幅に削減して計算コストを低減させることができる。また、演算によるアーティファクトの発現を防ぐ点においても大きな効果がある。 For periods that are not calculated by this preliminary period determination process, even if the autocorrelation function and the autocorrelation function product are calculated later, only noise is generated. Therefore, by performing the preliminary cycle determination in this way and excluding the cycle estimated to be nonexistent from the calculation, the calculation amount can be greatly reduced and the calculation cost can be reduced. It also has a great effect in preventing the occurrence of artifacts due to computation.

 図2に示した観測信号について上述したような準備的な周期判定を行った上で、観測信号に対し自己相関関数積を計算して得られる周期スペクトルを図3(A)に示す。なお、ここでは重み関数W(nT)を1としている。これと比較するために、乱数により生成されたイオンパケットの数及び質量に対応した周期スペクトルを図3(B)に示す。図3(A)に示す自己相関関数積による周期スペクトルでは、生成された全ての周期が漏れなく算出されている様子を確認することができる。 FIG. 3A shows a periodic spectrum obtained by calculating the autocorrelation function product for the observation signal after performing the preliminary period determination as described above for the observation signal shown in FIG. Here, the weighting function W (n T ) is 1. For comparison with this, FIG. 3B shows a periodic spectrum corresponding to the number and mass of ion packets generated by random numbers. In the periodic spectrum by the autocorrelation function product shown in FIG. 3A, it can be confirmed that all the generated periods are calculated without omission.

 さらに、自己相関関数積による周期スペクトルで得られた周期から質量を求め、全てのイオンパケットの質量同定を試みた。図4にその計算結果を示す。自己相関関数積から得られた質量同定結果は生成された元のデータにきわめてよく一致していることが分かる。これにより、本発明に係る質量分析方法及び質量分析装置によって、高い質量同定精度が実現できることが確認できた。 Furthermore, the mass was obtained from the period obtained from the periodic spectrum by the autocorrelation function product, and mass identification of all ion packets was attempted. FIG. 4 shows the calculation result. It can be seen that the mass identification result obtained from the autocorrelation function product agrees very well with the original data generated. Thereby, it has confirmed that high mass identification accuracy was realizable with the mass spectrometry method and mass spectrometer which concern on this invention.

 図1(B)に示したように、多重周回イオン光学系3に代えて多重反射イオン光学系3’を用いた場合でも同じである。この場合には、イオンは往復軌道6’の往路及び復路でそれぞれ検出器4を通過する。したがって、上記周回軌道6の1周の長さLは、検出器4を通過してから再び逆方向に検出器4を通過するまでの往復の距離に相当するものであり、図1(B)中の往復軌道6’の1往復の長さは2Lとなる。 As shown in FIG. 1B, the same applies when a multiple reflection ion optical system 3 ′ is used instead of the multiple circulation ion optical system 3. In this case, the ions pass through the detector 4 on the forward path and the return path of the reciprocating orbit 6 '. Therefore, the length L of one turn of the orbit 6 corresponds to the reciprocal distance from passing through the detector 4 to passing through the detector 4 in the opposite direction again, as shown in FIG. The length of one round trip of the inner round trip track 6 ′ is 2L.

 図3(A)、(B)を比較すると分かるように、ピークの位置つまり周期はよく一致しているものの、各ピークの強度の相対関係は変化している。ピーク強度は定性性には全く影響しないため、質量同定による定性分析を行う場合には何ら問題はない。これに対し、定量精度が要求される場合には、ピーク強度の再現性を高める必要がある。そのためには、自己相関関数積を計算する際の重み関数として次式を用いることができる。
   W(nT)=(1/nT!)1/nT    …(16)
これは自己相関関数の計算時に現れる因子の影響を規格化するものであるとみなせる。
As can be seen from a comparison between FIGS. 3A and 3B, the peak positions, that is, the periods are in good agreement, but the relative relationship of the intensity of each peak changes. Since the peak intensity does not affect the qualitative property at all, there is no problem when performing qualitative analysis by mass identification. On the other hand, when quantitative accuracy is required, it is necessary to improve the reproducibility of the peak intensity. For this purpose, the following equation can be used as a weighting function when calculating the autocorrelation function product.
W (n T ) = (1 / n T !) 1 / nT (16)
This can be regarded as normalizing the influence of factors appearing when calculating the autocorrelation function.

 なお、上記実施例はいずれも本発明の一例に過ぎず、本発明の趣旨の範囲で適宜、変更や修正、追加を行っても本願請求の範囲に包含されることは当然である。 It should be noted that any of the above-described embodiments is merely an example of the present invention, and it is obvious that changes, corrections, and additions may be made as appropriate within the scope of the present invention.

 具体的には、上記説明では自己相関関数の多重積を計算することで、周期スペクトルの分解能を向上させるようにしたが、同様の効果を達成するために、調和平均など別の手法を用いることもできる。 Specifically, in the above description, the resolution of the periodic spectrum has been improved by calculating the multiple product of the autocorrelation function, but in order to achieve the same effect, another method such as harmonic averaging should be used. You can also.

Claims (8)

 試料由来のイオンを周回軌道又は往復軌道に沿って繰り返し飛行させることにより、それらイオンを質量に応じて空間的に分離する多重周回イオン光学系と、前記周回軌道又は往復軌道上を飛行するイオンを非破壊で検出する検出手段と、を備えた質量分析装置を用いた質量分析方法であって、
 前記検出手段により所定時間内に得られる観測信号に対し自己相関関数を計算することにより、その観測信号の周期性を抽出し周期スペクトルを求め、その周期スペクトルから質量スペクトル又は各イオンの質量を算出する、ことを特徴とする質量分析方法。
By repeatedly flying samples-derived ions along a circular orbit orbit, a multi-circular ion optical system that spatially separates the ions according to the mass, and ions that fly on the orbit or the orbit A mass spectrometric method using a mass spectroscope equipped with non-destructive detecting means,
By calculating the autocorrelation function for the observation signal obtained within a predetermined time by the detection means, the periodicity of the observation signal is extracted to obtain the periodic spectrum, and the mass spectrum or the mass of each ion is calculated from the periodic spectrum. A mass spectrometric method characterized by:
 請求項1に記載の質量分析方法であって、信号観測時間S内に得られる観測信号f(t)(但し0≦t≦S)に対し、自己相関関数C(τ)(0≦τ≦S)として次式又は次式の分子のみを算出することを特徴とする質量分析方法。
Figure JPOXMLDOC01-appb-M000005
2. The mass spectrometric method according to claim 1, wherein an autocorrelation function C (τ) (0 ≦ τ ≦) with respect to an observation signal f (t) (where 0 ≦ t ≦ S) obtained within the signal observation time S. A mass spectrometric method characterized by calculating only the molecule of the following formula or the following formula as S):
Figure JPOXMLDOC01-appb-M000005
 請求項2に記載の質量分析方法であって、観測信号に対する自己相関関数に基づいて周期スペクトルを求めるに際し、1つの或る周期について、その整数倍周期の時間遅延における自己相関関数の値を用い、小さい関数値により大きな重みを与えて該関数値を参照した演算を実行することを特徴とする質量分析方法。 3. The mass spectrometric method according to claim 2, wherein when a periodic spectrum is obtained based on an autocorrelation function for an observation signal, a value of an autocorrelation function at a time delay of an integral multiple period is used for one period. A mass spectrometric method characterized in that a calculation is performed by giving a large weight to a small function value and referring to the function value.  請求項3に記載の質量分析方法であって、自己相関関数の値について、次式による自己相関関数積F(T)を計算することで周期スペクトルを求めることを特徴とする質量分析装置
Figure JPOXMLDOC01-appb-M000006
 ここで、W(nT)は重み関数であり、1又はnTを変数とした所定の関数を用いる。[x]はxを超えない最大の整数を表す。
4. The mass spectrometric apparatus according to claim 3, wherein a periodic spectrum is obtained by calculating an autocorrelation function product F (T) according to the following equation for the value of the autocorrelation function.
Figure JPOXMLDOC01-appb-M000006
Here, W (n T ) is a weight function, and a predetermined function with 1 or n T as a variable is used. [x] represents a maximum integer not exceeding x.
 a)試料由来のイオンを周回軌道又は往復軌道に沿って繰り返し飛行させることにより、それらイオンを質量に応じて空間的に分離する多重周回イオン光学系と、
 b)前記周回軌道又は往復軌道上を飛行するイオンを非破壊で検出する検出手段と、
 c)前記検出手段により所定の信号観測時間内に得られる観測信号に対し自己相関関数を計算することにより、その観測信号の周期性を抽出し周期スペクトルを求める演算処理手段と、
 d)前記周期スペクトルを質量スペクトルに変換する変換処理手段と、
を備えることを特徴とする質量分析装置。
a) a multi-circular ion optical system that spatially separates ions according to mass by repeatedly flying ions derived from a sample along a circular or reciprocating orbit;
b) non-destructive detection means for detecting ions flying on the orbit or reciprocating orbit,
c) an arithmetic processing means for extracting a periodicity of the observed signal and calculating a periodic spectrum by calculating an autocorrelation function for the observed signal obtained within a predetermined signal observation time by the detecting means;
d) conversion processing means for converting the periodic spectrum into a mass spectrum;
A mass spectrometer comprising:
 請求項5に記載の質量分析装置であって、前記演算処理手段は、信号観測時間S内に得られる観測信号f(t)(但し0≦t≦S)に対し、自己相関関数C(τ)(0≦τ≦S)として次式又は次式の分子のみを算出することを特徴とする質量分析装置。
Figure JPOXMLDOC01-appb-M000007
6. The mass spectrometer according to claim 5, wherein the arithmetic processing unit performs an autocorrelation function C (τ on the observation signal f (t) (where 0 ≦ t ≦ S) obtained within the signal observation time S. ) (0 ≦ τ ≦ S), and only the molecules of the following formula are calculated:
Figure JPOXMLDOC01-appb-M000007
 請求項6に記載の質量分析装置であって、前記演算処理手段は、1つの或る周期について、その整数倍周期の時間遅延における自己相関関数の値を用い、小さい関数値により大きな重みを与えて該関数値を参照した演算を実行することで周期スペクトルを求めることを特徴とする質量分析装置。 7. The mass spectrometer according to claim 6, wherein the arithmetic processing unit uses a value of an autocorrelation function in a time delay of an integral multiple period for one certain period, and gives a large weight to a small function value. And a periodic spectrum is obtained by executing a calculation referring to the function value.  請求項7に記載の質量分析装置であって、前記演算処理手段は、自己相関関数の値について、次式による自己相関関数積F(T)を計算することで周期スペクトルを求めることを特徴とする質量分析装置
Figure JPOXMLDOC01-appb-M000008
 ここで、W(nT)は重み関数であり、1又はnTを変数とした所定の関数を用いる。[x]はxを超えない最大の整数を表す。
8. The mass spectrometer according to claim 7, wherein the arithmetic processing unit obtains a periodic spectrum by calculating an autocorrelation function product F (T) according to the following equation for the value of the autocorrelation function. Mass spectrometer
Figure JPOXMLDOC01-appb-M000008
Here, W (n T ) is a weight function, and a predetermined function with 1 or n T as a variable is used. [x] represents a maximum integer not exceeding x.
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