CN108169215A - A kind of computational methods of emission spectrometer time of integration upper limit setting - Google Patents
A kind of computational methods of emission spectrometer time of integration upper limit setting Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及发射光谱分析技术领域,具体涉及一种发射光谱仪积分时间上限设定的计算方法。The invention relates to the technical field of emission spectrum analysis, in particular to a calculation method for setting the upper limit of the integration time of an emission spectrometer.
背景技术Background technique
发射光谱法是一种建立在待测元素浓度与其发射的特征谱线强度之间的线性关系的基础上进行精确定量的分析化学方法。一般通过如等离子体等对样品中的元素进行激发发射出特征谱线,通过前置光路收集到分光检测系统中,使其在空间上产生色散,并被探测器进行光电转换,最终得到全谱图。Emission spectroscopy is an analytical chemical method for precise quantification based on the linear relationship between the concentration of the element to be measured and the intensity of the characteristic spectral line it emits. Generally, the elements in the sample are excited by plasma to emit characteristic spectral lines, which are collected into the spectroscopic detection system through the front optical path to cause dispersion in space, and are photoelectrically converted by the detector to finally obtain the full spectrum picture.
电感耦合器件CCD是常见的一种光电转换器件,常被用作分光检测系统的检测器,如微型光纤光谱仪、中阶梯光栅光谱仪等。Inductively coupled device CCD is a common photoelectric conversion device, often used as a detector for spectroscopic detection systems, such as micro-fiber spectrometers, echelle grating spectrometers, etc.
使用发射光谱法对元素进行定量时首先需要建立元素浓度-强度标准曲线,因此在测试时会分别引入梯度浓度的标准样品。为了保证测试结果的准确性,需要保证获得的元素光谱具有较好的信噪比与信背比,因此需要对仪器参数进行优化,CCD的积分时间是其中一项。一般而言,其他条件固定时,对固定浓度的元素的标准样品,单位时间内进入CCD的光子数是一定的,因此若CCD积分时间较小时,CCD光电转换后的元素净信号相对较小,容易淹没在CCD的暗噪音中,即此时元素信号的信噪比/信背比较低。而当分时间过大时,则容易造成CCD饱和或超过CCD响应的线性范围,这两种情况都会对测试结果的精确度造成破坏。When using emission spectrometry to quantify elements, it is first necessary to establish an element concentration-intensity standard curve, so standard samples with gradient concentrations will be introduced during the test. In order to ensure the accuracy of the test results, it is necessary to ensure that the obtained element spectra have a good signal-to-noise ratio and signal-to-background ratio, so the instrument parameters need to be optimized, and the integration time of the CCD is one of them. Generally speaking, when other conditions are fixed, for a standard sample with a fixed concentration of elements, the number of photons entering the CCD per unit time is constant, so if the CCD integration time is small, the net signal of the element after CCD photoelectric conversion is relatively small, It is easy to be submerged in the dark noise of the CCD, that is, the signal-to-noise ratio/signal-to-background ratio of the element signal is low at this time. And when the dividing time is too large, it is easy to cause CCD saturation or exceed the linear range of CCD response, both of which will damage the accuracy of the test results.
为了获得较好的待测元素的特征谱线,一般在测试过程中会对CCD的积分时间做优化,得到积分时间设定上限值。In order to obtain better characteristic spectral lines of the elements to be measured, the integration time of the CCD is generally optimized during the test process, and the upper limit value of the integration time is obtained.
对CCD的积分时间设定目前有两种方案,一种方案是试错法,即针对某一元素,首先通入其量程上限浓度的元素标准样品,不断的调整积分时间值,通过其特征谱线强度值来确定最终合适的积分时间。There are currently two schemes for setting the integration time of the CCD. One scheme is the trial and error method, that is, for a certain element, the element standard sample with the concentration of the upper limit of the range is first introduced, and the integration time value is continuously adjusted. Line intensity value to determine the final suitable integration time.
另一种方案是预设法,即通过对前期测试结果的整理总结,给出不同元素不同特征谱线在不同浓度条件下的积分时间上限或者给出预设的积分时间,将其以数据库的形式写入软件中,使用时进行调用。Another solution is the preset method, that is, through the summary of the previous test results, the upper limit of the integration time of different characteristic lines of different elements under different concentration conditions is given or the preset integration time is given, and it is compared with the database. The form is written into the software and called when used.
但是上述两种方案的缺点是:1.需要对不同元素、不同特征谱线、不同浓度条件下都进行优化与试错,增加了测试时间与测试成本;2.该方案移植效果较差,需要做大量的重复测试。However, the disadvantages of the above two schemes are: 1. Optimization and trial and error are required for different elements, different characteristic lines, and different concentrations, which increases the test time and test cost; 2. The transplantation effect of this scheme is poor, requiring Do lots of repetitive testing.
发明内容Contents of the invention
本申请提供一种发射光谱仪积分时间上限设定的计算方法,发射光谱仪的探测器为CCD探测器,CCD探测器的积分时间上限设定的计算方法包括步骤:This application provides a calculation method for setting the upper limit of the integration time of the emission spectrometer. The detector of the emission spectrometer is a CCD detector, and the calculation method for setting the upper limit of the integration time of the CCD detector includes steps:
获取一次激发光源在N个不同梯度积分时间条件下的空白光谱图,N大于等于2;Obtain the blank spectrum of an excitation light source under N different gradient integration time conditions, where N is greater than or equal to 2;
计算N个不同梯度积分时间条件下的平均空白光谱图;Calculate the average blank spectrum under N different gradient integration time conditions;
对不同波长处平均空白光谱强度Ib与积分时间T做线性回归拟合,得到空白背景光谱时间比例系数kd与背景常数bd;Perform linear regression fitting on the average blank spectral intensity I b at different wavelengths and the integration time T to obtain the blank background spectral time proportional coefficient k d and the background constant b d ;
设定CCD探测器量程上限FS;Set the CCD detector range upper limit FS;
设定检出限的置信系数t;Set the confidence coefficient t of the detection limit;
设定光源空白光谱波动水平特征值[RSD]b;Set the characteristic value of the light source blank spectrum fluctuation level [RSD] b ;
设定待检测元素量程上限与该元素预估检出限的倍数α;Set the upper limit of the range of the element to be detected and the multiple α of the estimated detection limit of the element;
根据公式计算积分时间上限。According to the formula Calculate the upper limit of the integration time.
一种实施例中,计算N个不同梯度积分时间条件下的平均空白光谱图,具体为:In one embodiment, the average blank spectrogram under N different gradient integration time conditions is calculated, specifically:
对每个梯度积分时间条件下的空白光谱图进行M次测试,且最高积分时间条件下的全谱图中不出现饱和值,M大于等于1;Perform M tests on the blank spectrum under each gradient integration time condition, and no saturation value appears in the full spectrum under the highest integration time condition, and M is greater than or equal to 1;
计算M次测试的平均空白光谱图。Computes the average blank spectrogram for M tests.
一种实施例中,CCD探测器量程上限FS设定为满量程值,或根据CCD探测器的线性影响范围设定FS。In one embodiment, the upper limit FS of the range of the CCD detector is set as the full scale value, or FS is set according to the linear influence range of the CCD detector.
一种实施例中,空白背景光谱时间比例系数kd为,kd=kn+kp,其中,kn为CCD探测器暗噪声的时间比例系数,kp为等离子体背景的时间比例系数。In one embodiment, the blank background spectral time scaling coefficient k d is, k d =k n +k p , wherein, k n is the time scaling coefficient of the dark noise of the CCD detector, and k p is the time scaling coefficient of the plasma background .
依据上述实施例的积分时间上限设定的计算方法,由于可以通过公式实现计算机辅助计算,解放工人操作,确定实验条件后,只需要测试一次激发光源在不同梯度积分时间条件下的空白光谱图,避免了对不同元素、不同特征谱线、不同浓度条件下都分别进行积分条件优化;该方法基于物理学客观规律与检出限标准定义,准确可靠;该方法移植性与可扩展性好,能够兼容检出限定义方法,适应不同CCD类别与其量程上限、不同激发光源系统稳定性水平、待测元素不同量程上限、不同待测元素与特征波长等。According to the calculation method for setting the upper limit of the integration time in the above-mentioned embodiment, since the computer-aided calculation can be realized through the formula, the workers are freed from operation, and after the experimental conditions are determined, it is only necessary to test the blank spectrum of the excitation light source under different gradient integration time conditions once. It avoids the optimization of integration conditions for different elements, different characteristic lines, and different concentration conditions; the method is based on the objective laws of physics and the definition of detection limit standards, which is accurate and reliable; the method has good portability and scalability, and can Compatible with the detection limit definition method, adapting to different CCD types and their upper limit of measurement range, different excitation light source system stability level, different upper limit of measurement range of analyte elements, different analyte elements and characteristic wavelengths, etc.
附图说明Description of drawings
图1为CCD积分时间上限设定计算流程图;Fig. 1 is the calculation flowchart of CCD integration time upper limit setting;
图2为不同梯度积分时间条件下的平均空白光谱图;Fig. 2 is the average blank spectrogram under different gradient integration time conditions;
图3为不同波长处线性拟合得到的空白背景光谱时间比例系数谱图;Fig. 3 is the blank background spectral time scale factor spectrogram obtained by linear fitting at different wavelengths;
图4为不同波长处线性拟合得到的空白背景光谱常数谱图;Fig. 4 is the blank background spectral constant spectrogram obtained by linear fitting at different wavelengths;
图5为不同波长处线性拟合相关系数谱图;Fig. 5 is linear fitting correlation coefficient spectrogram at different wavelengths;
图6为不同波长处得到的积分时间上限谱图。Figure 6 is the upper limit spectrum of integration time obtained at different wavelengths.
具体实施方式Detailed ways
下面通过具体实施方式结合附图对本发明作进一步详细说明。The present invention will be further described in detail below through specific embodiments in conjunction with the accompanying drawings.
本例提供一种发射光谱仪积分时间上限设定的计算方法,优其提供发射光谱仪的探测器为CCD探测器时,CCD探测器的积分时间上限设定的计算方法,其流程图如图1所示,具体包括如下步骤。This example provides a calculation method for setting the upper limit of the integration time of the emission spectrometer, especially when the detector of the emission spectrometer is a CCD detector, the calculation method for setting the upper limit of the integration time of the CCD detector is provided. The flow chart is shown in Figure 1 , specifically include the following steps.
S1:获取一次激发光源在N个不同梯度积分时间条件下的空白光谱图,N大于等于2。S1: Obtain the blank spectrum of an excitation light source under N different gradient integration time conditions, where N is greater than or equal to 2.
S2:计算N个不同梯度积分时间条件下的平均空白光谱图。S2: Calculate the average blank spectrum under N different gradient integration time conditions.
该步骤中,对每个梯度积分时间条件下的空白光谱图进行M次测试,即每一个梯度积分时间条件下重复测试M次,且N个梯度积分时间中的最高积分时间条件下的光谱图中不出现饱和值,这里的最高积分时间指的是N个梯度积分时间中的最大值,如果出现饱和值,则剔除该饱和值使其不进入计算,或者减小最大积分时间避免强度的饱和,M大于等于1;然后,计算M次测试的平均空白光谱图,依次类推计算出N个不同梯度积分时间条件下的平均空白光谱图。In this step, M tests are performed on the blank spectrogram under each gradient integration time condition, that is, the test is repeated M times under each gradient integration time condition, and the spectrogram under the highest integration time condition among N gradient integration times There is no saturation value in , and the highest integration time here refers to the maximum value among the N gradient integration times. If there is a saturation value, remove the saturation value so that it does not enter the calculation, or reduce the maximum integration time to avoid saturation of the intensity , M is greater than or equal to 1; then, calculate the average blank spectrum of M tests, and calculate the average blank spectrum under N different gradient integration time conditions by analogy.
S3:对不同波长处平均空白光谱强度Ib与积分时间T做线性回归拟合,得到空白背景光谱时间比例系数kd与背景常数bd。S3: Perform linear regression fitting on the average blank spectral intensity I b at different wavelengths and the integration time T to obtain the blank background spectral time proportional coefficient k d and background constant b d .
该步骤中,线性回归拟合的方法是:Ib=kdT+bd,线性回归拟合后得到空白背景光谱时间比例系数kd与背景常数bd。In this step, the linear regression fitting method is: I b =k d T+b d , after the linear regression fitting, the blank background spectrum time proportional coefficient k d and the background constant b d are obtained.
S4:设定CCD探测器量程上限FS。S4: Set the upper limit FS of the range of the CCD detector.
其中,CCD探测器量程上限FS可以设定为其满量程值,也可以根据CCD探测器的线性影响范围设定FS。Among them, the upper limit FS of the CCD detector range can be set as its full-scale value, or FS can be set according to the linear influence range of the CCD detector.
S5:设定检出限的置信系数t。S5: Set the confidence coefficient t of the detection limit.
S6:设定光源空白光谱波动水平特征值[RSD]b。S6: Set the characteristic value [RSD] b of the fluctuation level of the blank spectrum of the light source.
S7:设定待检测元素量程上限与该元素预估检出限的倍数α。S7: Set the upper limit of the range of the element to be detected and the multiple α of the estimated detection limit of the element.
S8:根据公式计算积分时间上限。S8: Calculate the upper limit of the integration time according to the formula.
该步骤中的公式为:该公式的推导过程如下:The formula in this step is: The derivation of the formula is as follows:
待测元素/样品被等离子体激发后所发射的特征光谱经分光检测系统转化成电信号,若选用CCD探测器作为分光检测系统的探测器,则与特征光谱对应像元的强度为I,该光强具体为CCD探测器暗噪声In、等离子体背景光谱Ip、信号特征光谱净信号强度Is之和,即The characteristic spectrum emitted by the element/sample to be measured is converted into an electrical signal by the spectroscopic detection system after being excited by the plasma. If a CCD detector is selected as the detector of the spectroscopic detection system, the intensity of the pixel corresponding to the characteristic spectrum is I. The light intensity is specifically the sum of the dark noise I n of the CCD detector, the plasma background spectrum I p , and the net signal intensity I s of the signal characteristic spectrum, namely
I=In+Ip+Is (1);I=I n +I p +I s (1);
由CCD探测器的工作原理可知,CCD响应的光谱强度与积分时间设定呈现线性关系,即对CCD暗噪声In、等离子体背景光谱Ip有:From the working principle of the CCD detector, it can be seen that the spectral intensity of the CCD response has a linear relationship with the setting of the integration time, that is, for the CCD dark noise I n and the plasma background spectrum I p :
In=knT+bd (2)I n =k n T+b d (2)
Ip=kpT (3)I p =k p T (3)
其中,T为CCD的积分时间,kn与bd分别为CCD暗噪声的时间比例系数和暗噪声常数;kp为等离子体背景的时间比例系数。Among them, T is the integration time of CCD, k n and b d are the time scale coefficient and dark noise constant of CCD dark noise respectively; k p is the time scale coefficient of plasma background.
对于元素特征光谱净信号强度Is,除了与积分时间呈线性关系外,根据发射光谱法的基本原理,它与待测元素浓度也呈正比例关系,因此有:For the net signal intensity I s of the characteristic spectrum of an element, in addition to having a linear relationship with the integration time, according to the basic principle of the emission spectrometry, it is also proportional to the concentration of the element to be measured, so:
Is=ksCT (4)I s =k s CT (4)
其中,ks为信号的时间比例系数,待测元素浓度为C;Among them, k s is the time scale coefficient of the signal, and the concentration of the element to be measured is C;
令kd=kn+kp,且定义Ib为未通入待测元素时CCD得到的空白背景光谱强度,则有Ib=In+Ip=kdT+bd,kd为对应的空白背景光谱时间比例系数,将公式2~3代入公式1中整理后得到:Let k d =k n +k p , and define I b as the blank background spectral intensity obtained by CCD when the element to be measured is not introduced, then I b =I n +I p =k d T+b d , k d is the corresponding blank background spectrum time scale coefficient, after substituting formulas 2 to 3 into formula 1, we get:
I=ksCT+kdT+bd (5)I=k s CT+k d T+b d (5)
对于检出限,一般定义为在仪器处于正常工作状态下,进样系列标准溶液,制作工作曲线,连续n次测量空白溶液,以n次空白值标准偏差t倍对应的浓度为检出限,因此,t为检出限计算方法中的置信系数,与测试次数n有关;For the detection limit, it is generally defined as when the instrument is in normal working condition, inject a series of standard solutions, make a working curve, measure the blank solution n times continuously, and take the concentration corresponding to the standard deviation t times of the blank value for n times as the detection limit. Therefore, t is the confidence coefficient in the detection limit calculation method, which is related to the number of tests n;
设n次空白值标准偏差为[SD]b,根据公式5得到标准曲线斜率为ksT,则根据检出限DL定义,得到其一般性表达式:Assuming that the standard deviation of the n times blank value is [SD] b , the slope of the standard curve is k s T according to formula 5, then according to the definition of the detection limit DL , its general expression can be obtained:
设待测元素浓度C是该元素检出限DL的α倍,即Assuming that the concentration C of the element to be detected is α times the detection limit DL of the element, that is
C=α·DL (7)C=α·DL (7)
由公式6与7得到:Obtained by formulas 6 and 7:
ksCT=αt[SD]b (8)k s CT = αt[SD] b (8)
将公式8代入公式5中并令n次空白值相对标准偏差为最终得到:Substitute Equation 8 into Equation 5 and let the relative standard deviation of the blank value n times be and end up with:
在上式中,令CCD强度I等于CCD允许的量程上限FS,则得到CCD积分时间设定上限如下:In the above formula, if the CCD intensity I is equal to the upper limit FS of the range allowed by the CCD, then the upper limit of the CCD integration time setting is obtained as follows:
为便于理解,先以海洋光学HR4000系列光谱仪为例,利用计算机通过上述公式(10)计算某元素某一个特征波长处的积分时间上限,激发源使用的是氩微波等离子体(即ArMPT);For ease of understanding, first take the Ocean Optics HR4000 series spectrometer as an example, and use the computer to calculate the upper limit of the integration time at a certain characteristic wavelength of a certain element through the above formula (10). The excitation source is argon microwave plasma (ie ArMPT);
首先执行操作步骤S1-S3,根据平均空白光谱强度与积分时间做线性回归拟合得到bd=650,kd=30;First, perform operation steps S1-S3, and perform linear regression fitting according to the average blank spectral intensity and integration time to obtain b d =650, k d =30;
海洋光学HR4000光谱仪AD转换位数为14,因此其CCD满量程值FS=214-1=16383;Ocean Optics HR4000 spectrometer has 14 AD conversion digits, so its CCD full-scale value FS=2 14 -1=16383;
根据《JJG768-2005发射光谱仪检定规程》,取置信系数t=3;According to the "JJG768-2005 Emission Spectrometer Verification Regulations", take the confidence coefficient t=3;
对于稳定的ArMPT,其等离子体稳定性较高,取光源背景光谱波动水平特征值[RSD]b=0.3%;For the stable ArMPT, its plasma stability is relatively high, and the characteristic value of the light source background spectrum fluctuation level [RSD] b = 0.3%;
取待测元素量程上限为该元素预估检出限的100倍,即α=100;Take the upper limit of the measurement range of the element to be measured as 100 times the estimated detection limit of the element, that is, α=100;
将上述参数代入公式10,得到Tmax=267ms,即得到了CCD积分时间设定上限。Substituting the above parameters into Formula 10, T max =267ms is obtained, that is, the upper limit of the CCD integration time is obtained.
需要说明的是步骤4中允许的CCD量程上限FS也可以考虑到CCD的线性响应范围,如FS为其满量程的95%,则FS=95%×(114-1)=15563.85,此时Tmax=253.65ms。It should be noted that the CCD range upper limit FS allowed in step 4 can also take into account the linear response range of the CCD, such as FS is 95% of its full scale, then FS=95%×(1 14 -1)=15563.85, at this time Tmax = 253.65ms.
需要说明的是,本例的方法并不限定待测元素及特征波长,该方法对分光检测系统捕获光谱范围内的所有波长都有效,即,上述步骤S4-S7中的参数可以对不同波长处取不同的值,即对不同元素不同特征谱线单独处理,下面结合具体实例进行阐述。It should be noted that the method in this example does not limit the elements to be measured and the characteristic wavelengths. This method is valid for all wavelengths in the spectral range captured by the spectroscopic detection system, that is, the parameters in the above steps S4-S7 can be used for different wavelengths. Different values are used, that is, different characteristic lines of different elements are processed separately, which will be described in conjunction with specific examples below.
获取一次激发光源在11个不同梯度积分时间条件下的空白光谱图,每个梯度积分时间条件下测试次数为11,并保证最高积分时间条件下全谱图不出现饱和值。Obtain the blank spectrum of an excitation light source under 11 different gradient integration time conditions, and the number of tests under each gradient integration time condition is 11, and ensure that no saturation value appears in the full spectrum under the highest integration time condition.
计算不同梯度积分时间条件下的平均空白光谱图,可得到11次计算的平均空白光谱图,如图2所示,图2中,选取了T=4、6、8、12、16、24、32、48、64、96、128ms不同梯度积分时间条件下的光谱图,N=11,最大积分时间为128ms;需要注意的是:所谓梯度积分时间不一定是等间隔的,只要是呈递增的时间均可。Calculate the average blank spectrum under different gradient integration time conditions, and the average blank spectrum for 11 calculations can be obtained, as shown in Figure 2. In Figure 2, T=4, 6, 8, 12, 16, 24, The spectrograms under different gradient integration time conditions of 32, 48, 64, 96, and 128ms, N=11, and the maximum integration time is 128ms; it should be noted that the so-called gradient integration time is not necessarily at equal intervals, as long as it is increasing Any time.
对不同波长处平均空白光谱强度Ib与积分时间T做线性回归拟合,得到空白背景光谱时间比例系数kd与背景常数bd,分别如图3和图4所示,在本例中不同波长处拟合的点数为11,为了进一步验证线性回归的合理性,图5给出了不同波长处线性拟合的相关系数R2谱图,R2∈(0.992,1]。Perform linear regression fitting on the average blank spectral intensity I b and the integration time T at different wavelengths to obtain the blank background spectral time proportional coefficient k d and the background constant b d , as shown in Figure 3 and Figure 4 respectively. In this example, different The number of fitting points at the wavelength is 11. In order to further verify the rationality of the linear regression, Fig. 5 shows the correlation coefficient R 2 spectrum of the linear fitting at different wavelengths, R 2 ∈ (0.992,1].
设定允许的CCD量程上限FS,在本例中对所有波长都取FS=214-1=16383。Set the allowable CCD range upper limit FS, in this example, FS=2 14 -1=16383 for all wavelengths.
设定检出限计算方法中的置信系数t,根据《JJG768-2005发射光谱仪检定规程》,取置信系数t=3。Set the confidence factor t in the calculation method of the detection limit. According to the "JJG768-2005 Emission Spectrometer Verification Regulations", take the confidence factor t=3.
设定光源空白光谱波动水平特征值[RSD]b,对于稳定的ArMPT,其等离子体稳定性较高,取光源背景光谱波动水平特征值[RSD]b=0.3%。Set the characteristic value [RSD] b of the fluctuation level of the light source blank spectrum. For a stable ArMPT, its plasma stability is relatively high, and the characteristic value of the fluctuation level of the light source background spectrum [RSD] b = 0.3%.
设定待测元素量程上限与该元素预估检出限的倍数α,取待测元素量程上限为该元素预估检出限的100倍,即α=100。Set the upper limit of the measurement range of the analyte and the multiple α of the estimated detection limit of the element, and take the upper limit of the measurement range of the analyte as 100 times the estimated detection limit of the element, that is, α=100.
根据公式(10)计算积分时间上限Tmax,得到不同波长处的积分时间上限谱图,如图6所示。The upper limit of the integration time T max is calculated according to the formula (10), and the spectrum of the upper limit of the integration time at different wavelengths is obtained, as shown in FIG. 6 .
以上应用了具体个例对本发明进行阐述,只是用于帮助理解本发明,并不用以限制本发明。对于本发明所属技术领域的技术人员,依据本发明的思想,还可以做出若干简单推演、变形或替换。The above uses specific examples to illustrate the present invention, which is only used to help understand the present invention, and is not intended to limit the present invention. For those skilled in the technical field to which the present invention belongs, some simple deduction, deformation or replacement can also be made according to the idea of the present invention.
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