JP2022187637A - Fluorescent light x-ray analyzer - Google Patents

Fluorescent light x-ray analyzer Download PDF

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JP2022187637A
JP2022187637A JP2021095721A JP2021095721A JP2022187637A JP 2022187637 A JP2022187637 A JP 2022187637A JP 2021095721 A JP2021095721 A JP 2021095721A JP 2021095721 A JP2021095721 A JP 2021095721A JP 2022187637 A JP2022187637 A JP 2022187637A
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渉 松田
Wataru Matsuda
恭之 山本
Yasuyuki Yamamoto
由行 片岡
Yoshiyuki Kataoka
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Rigaku Denki Co Ltd
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    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
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Abstract

To provide a fluorescent light X-ray analyzer with which, when finding the percentage content of components in a sample, it is possible to analyze the ratio of the percentage content of one main component to another with sufficient accuracy.SOLUTION: The fluorescent light X-ray analyzer includes quantitative determination means based on FP method. The quantitative determination means executes: an intensity ratio device sensitivity curve creation step of creating an intensity ratio device sensitivity curve which is a correlation between a measurement intensity ratio which is a ratio of the measurement intensity of a comparison main component to the measurement intensity of a reference main component and a theoretical intensity ratio which is a ratio of the theoretical intensity of the comparison main component to the theoretical intensity of the reference main component; an intensity ratio conversion step of converting the measurement intensity ratio to a theoretical intensity scale on the basis of the intensity ratio device sensitivity curve and adopting the result as a converted measurement intensity ratio; a percentage content ratio update step of updating a percentage content ratio which is a ratio of the percentage content of the comparison main component to the percentage content of the reference main component on the basis of the converted measurement intensity ratio; and a percentage content update step of updating the percentage content of each component on the basis of the latest percentage content ratio.SELECTED DRAWING: Figure 1

Description

本発明は、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法または検量線法を用いる定量手段により試料中の成分の含有率を求める蛍光X線分析装置に関する。 The present invention irradiates a sample with primary X-rays, and based on the measured intensity of the generated fluorescent X-rays, the fluorescent X-ray analysis determines the content of components in the sample by quantitative means using the fundamental parameter method or the calibration curve method. Regarding the device.

従来、定量分析を行う蛍光X線分析装置は、検量線法によるものと、ファンダメンタルパラメーター法(FP法ともいう)によるものに大別される。検量線法による定量分析では、未知試料の分析のために、成分の含有率が既知である一組の標準試料を用いて、成分の含有率と成分に対応する測定元素の蛍光X線(測定線)の測定強度との相関として、検量線が求められる。なお、成分とは元素または化合物である。また、成分が元素である場合には、その元素そのものが成分に対応する測定元素であり、成分が化合物である場合には、その化合物を代表する元素が成分に対応する測定元素となる(例えば特許文献1の段落0002参照)。 Conventionally, fluorescent X-ray analyzers for quantitative analysis are roughly classified into those based on the calibration curve method and those based on the fundamental parameter method (also referred to as the FP method). In quantitative analysis using the calibration curve method, a set of standard samples with known component content ratios are used to analyze unknown samples. A calibration curve is obtained as a correlation with the measured intensity of the line). A component is an element or a compound. Further, when the component is an element, the element itself is the measurement element corresponding to the component, and when the component is a compound, the element representing the compound becomes the measurement element corresponding to the component (for example, See paragraph 0002 of Patent Document 1).

一方、ファンダメンタルパラメーター法による定量分析では、未知試料の分析のために、成分の含有率が既知である一組の標準試料を用いて、既知の含有率に基づいて計算した理論強度と測定強度との相関として、装置感度曲線が求められる(例えば、特許文献1の段落0009、特許文献2の段落0003および図4参照)。なお、特許文献2における用語「濃度比」は、全体を1とした場合の、ある成分の全体に占める割合を示しており、本願での用語「含有率」に相当するものであって、後述する「含有率の比」に相当するものではない。 On the other hand, in the quantitative analysis by the fundamental parameter method, for the analysis of unknown samples, a set of standard samples with known component content ratios are used, and the theoretical strength and measured strength calculated based on the known content ratios are A device sensitivity curve is obtained as a correlation of (see, for example, paragraph 0009 of Patent Document 1, paragraph 0003 of Patent Document 2, and FIG. 4). Note that the term "concentration ratio" in Patent Document 2 indicates the ratio of a certain component to the whole when the whole is 1, and corresponds to the term "content rate" in the present application, which will be described later. It does not correspond to the "ratio of the content rate".

また、検量線法による定量分析、ファンダメンタルパラメーター法による定量分析の双方において、試料の形態によっては、より精確な分析のために、測定強度として、試料の分析面の高さと測定強度との相関に基づいて、試料の分析面の高さの変動が測定強度に及ぼす影響を除去するように補正した測定強度を用いる、いわゆる高さ補正が行われる(例えば特許文献3の請求項2、12参照)。 In both quantitative analysis by the calibration curve method and quantitative analysis by the fundamental parameter method, depending on the form of the sample, the correlation between the height of the analytical surface of the sample and the measured intensity is used as the measured intensity for more accurate analysis. Based on this, a so-called height correction is performed using the measured intensity corrected so as to eliminate the influence of the height variation of the analysis surface of the sample on the measured intensity (see, for example, claims 2 and 12 of Patent Document 3). .

さて、電子材料等の試料の定量分析においては、主成分同士の含有率の比について高い精度が要求されるところ、2つの主成分からなるチタン酸バリウムの試料について、測定強度の比と含有率の比との相関である検量線を作成して用いる蛍光X線分析装置がある(非特許文献1の「e.検量線と測定例」、図13.45等参照)。 Now, in the quantitative analysis of samples such as electronic materials, high accuracy is required for the ratio of the content of the main components. There is a fluorescent X-ray spectrometer that uses a calibration curve that is a correlation with the ratio of (see "e. Calibration curve and measurement example" in Non-Patent Document 1, Fig. 13.45, etc.).

特開2021-51053号公報Japanese Patent Application Laid-Open No. 2021-51053 国際公開第2018/168939号WO2018/168939 特開2002-82075号公報JP-A-2002-82075

中井泉編,「蛍光X線分析の実際」,初版,第7刷,朝倉書店,2011年1月30日,p.194-195Edited by Izumi Nakai, "Facts of Fluorescent X-ray Analysis", First Edition, 7th Edition, Asakura Shoten, January 30, 2011, p. 194-195

しかしながら、非特許文献1には、試料の含有元素による蛍光X線の吸収、励起の影響を除去するためのマトリックス補正について記載がないため、主成分同士の含有率の比についてより精確な分析が要求された場合に、測定強度の比と含有率の比との相関である検量線に対してどのようにマトリックス補正を行うべきかが、技術常識を勘案しても不明である。 However, since Non-Patent Document 1 does not describe matrix correction for removing the effects of absorption and excitation of fluorescent X-rays due to the elements contained in the sample, a more accurate analysis of the ratio of the content of the main components is required. Even in consideration of common general technical knowledge, it is unclear how the calibration curve, which is the correlation between the measured intensity ratio and the content ratio, should be subjected to matrix correction when requested.

また、ファンダメンタルパラメーター法による定量分析においても、主成分同士の含有率の比についてより精確な分析をするために、複数の主成分について、測定強度の比と理論強度の比との相関である装置感度曲線を作成して用いることが考えられる。しかし、ファンダメンタルパラメーター法では、仮定した含有率から計算した理論強度と、装置感度曲線により理論強度スケールに換算した測定強度とに基づいて、含有率を更新するという繰り返し計算を行って、収束した含有率を分析結果とするので、測定強度の比と理論強度の比との相関である装置感度曲線を用いるとしても、どのように繰り返し計算を行うべきかが、技術常識を勘案しても不明である。 In addition, in the quantitative analysis by the fundamental parameter method, in order to perform a more accurate analysis of the ratio of the content of the main components, the correlation between the ratio of the measured strength and the ratio of the theoretical strength for multiple principal components. It is conceivable to create and use a sensitivity curve. However, in the fundamental parameter method, iterative calculations are performed to update the content based on the theoretical strength calculated from the assumed content and the measured strength converted to the theoretical strength scale by the device sensitivity curve, and the converged content Since the ratio is the analysis result, even if the device sensitivity curve, which is the correlation between the ratio of the measured intensity and the ratio of the theoretical intensity, is used, it is unclear how to repeat the calculation even in consideration of common technical knowledge. be.

本発明は前記従来の問題に鑑みてなされたもので、ファンダメンタルパラメーター法または検量線法を用いる定量手段により試料中の成分の含有率を求める蛍光X線分析装置において、主成分同士の含有率の比について十分精確に分析できる装置を提供することを目的とする。 The present invention has been made in view of the above-described conventional problems, and provides an X-ray fluorescence spectrometer for determining the content of components in a sample by means of quantification using the fundamental parameter method or the calibration curve method. The object is to provide a device that can analyze the ratio with sufficient precision.

前記目的を達成するために、本発明の第1構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In order to achieve the above object, the first configuration of the present invention first irradiates a sample with primary X-rays, and based on the measured intensity of the generated fluorescent X-rays, the amount of is a fluorescent X-ray analyzer for determining the content of the component of

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップとを実行する。 Then, the quantification means is a standard in which a single reference principal component as a reference principal component and a comparison principal component to be compared with the reference principal component are designated as components, and the content of each component is known. A standard sample measurement step of measuring the intensity of a measurement line that is a fluorescent X-ray corresponding to a component of a sample, a standard sample theoretical intensity calculation step of calculating a theoretical intensity based on a known content rate for each measurement line, Based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, the measured intensity of the comparison principal component with respect to the measured intensity of the reference principal component is calculated for each measurement line corresponding to the comparison principal component. an intensity ratio instrument sensitivity curve creating step of creating an intensity ratio instrument sensitivity curve that is a correlation between the measured intensity ratio, which is the ratio, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component; Run.

さらに、前記定量手段が、前記基準主成分および前記対比主成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、各成分の含有率の初期値を設定する含有率初期値設定ステップとを実行する。 Further, the quantification means performs an unknown sample measurement step of measuring the intensity of the measurement line for an unknown sample in which the reference principal component and the comparison principal component are designated as components and the content ratio of each component is unknown; For each measurement line corresponding to the principal component, based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step, the contrast principal component with respect to the measured intensity of the reference principal component Execute an intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of measured intensities, into a theoretical intensity scale to obtain a converted measured intensity ratio, and a content rate initial value setting step of setting the initial value of the content rate of each component. do.

さらにまた、前記定量手段が、測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、最新の含有率比に基づいて、各成分の含有率を更新する含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantification means includes an unknown sample theoretical intensity calculation step of calculating the theoretical intensity based on the latest content rate for each measurement line, and a converted measured intensity ratio in the intensity ratio conversion step for each comparison principal component and a theoretical strength ratio based on the theoretical strength in the unknown sample theoretical strength calculation step, a content rate update step for updating the content rate ratio, which is the ratio of the content rate of the contrasting principal component to the content rate of the reference principal component , a content rate update step of updating the content rate of each component based on the latest content rate ratio, a convergence determination step of performing convergence determination based on a predetermined convergence condition, and a content of the component in the unknown sample to be obtained and a result output step of outputting the latest content rate as a rate, and in the convergence determination step, if the determination is unconverged, the procedure is returned to the unknown sample theoretical strength calculation step, and if the determination is convergence. , the procedure advances to the result output step.

第1構成の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比を理論強度スケールに換算して換算測定強度比とする強度比換算ステップ、換算測定強度比に基づいて基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップ、最新の含有率比に基づいて各成分の含有率を更新する含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the X-ray fluorescence spectrometer of the first configuration, the quantification means using the fundamental parameter method includes the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the theoretical intensity of the reference principal component. An intensity ratio instrument sensitivity curve creation step for creating an intensity ratio instrument sensitivity curve that is a correlation with the theoretical intensity ratio that is the ratio of the theoretical intensities of the contrasting principal components, and the measured intensity ratio on the theoretical intensity scale based on the intensity ratio instrument sensitivity curve An intensity ratio conversion step of converting to a converted measured intensity ratio, a content ratio update step of updating the content ratio, which is the ratio of the content ratio of the contrasting main component to the content ratio of the reference main component, based on the converted measured intensity ratio, A content update step is performed to update the content of each component based on the latest content ratio. By performing these steps, which are not present in conventional fundamental parameter method algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

本発明の第2構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In the second configuration of the present invention, first, a sample is irradiated with primary X-rays, and the content of the component in the sample is determined by quantitative means using the fundamental parameter method based on the measured intensity of the generated fluorescent X-rays. It is an X-ray analyzer.

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、副成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、副成分の測定強度と、副成分の理論強度との相関である装置感度曲線を作成する装置感度曲線作成ステップと、対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップとを実行する。 Then, the quantification means designates a single reference principal component as a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents as components, and the content of each component is For a known standard sample, a standard sample measurement step of measuring the intensity of a measurement line that is a fluorescent X-ray corresponding to a component, and a standard sample theoretical intensity of calculating a theoretical intensity based on a known content rate for each measurement line In a calculation step, for each measurement line corresponding to a subcomponent, the measured intensities of the subcomponents and the theoretical intensities of the subcomponents are calculated based on the measured intensities in the standard sample measurement step and the theoretical intensities in the standard sample theoretical intensity calculation step. a device sensitivity curve creating step of creating a device sensitivity curve that is a correlation with intensity; Correlation between the measured intensity ratio, which is the ratio of the measured intensity of the contrasting principal component to the measured intensity of the reference principal component, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component, based on the intensity and an intensity ratio instrument sensitivity curve creation step for creating an intensity ratio instrument sensitivity curve.

さらに、前記定量手段が、前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、副成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記装置感度曲線作成ステップでの装置感度曲線に基づいて、副成分の測定強度を理論強度スケールに換算して換算測定強度とする強度換算ステップと、対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、各成分の含有率の初期値を設定する含有率初期値設定ステップとを実行する。 Further, the quantification means performs unknown sample measurement for measuring the intensity of the measurement line for an unknown sample in which the reference principal component, the comparison principal component, and the subcomponent are specified as components and the content ratio of each component is unknown. For each measurement line corresponding to the secondary component, the measured intensity of the secondary component is converted to a theoretical intensity scale based on the measured intensity in the unknown sample measurement step and the device sensitivity curve in the device sensitivity curve creation step. and an intensity conversion step that converts the measured intensity into a converted measurement intensity, and for each measurement line corresponding to the contrasting principal component, based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step , an intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of the measured intensity of the contrasting principal component to the measured intensity of the reference principal component, into a theoretical intensity scale and making it a converted measured intensity ratio, and the initial value of the content rate of each component and a content rate initial value setting step for setting the

さらにまた、前記定量手段が、測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、副成分ごとに、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、含有率を更新する副成分含有率更新ステップと、対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、最新の含有率比および最新の副成分の含有率に基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantification means includes an unknown sample theoretical strength calculation step of calculating the theoretical strength based on the latest content rate for each measurement line, a converted measured strength in the strength conversion step for each subcomponent, and the a subcomponent content rate updating step of updating the content rate based on the theoretical strength in the unknown sample theoretical strength calculation step; a converted measured strength ratio in the strength ratio conversion step; A content ratio update step for updating the content ratio, which is the ratio of the content ratio of the contrasting main component to the content ratio of the reference main component, based on the theoretical strength ratio by the theoretical strength in the theoretical strength calculation step, and the latest content A principal component content rate update step for updating the content rate of the comparison principal component and the content rate of the reference principal component based on the rate ratio and the latest content rate of the subcomponent, and convergence for performing convergence judgment based on a predetermined convergence condition a determination step and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained; The process returns to the theoretical strength calculation step, and advances the procedure to the result output step in the case of judgment of convergence.

第2構成の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比を理論強度スケールに換算して換算測定強度比とする強度比換算ステップ、換算測定強度比に基づいて基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップ、最新の含有率比に基づいて対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the fluorescent X-ray analyzer of the second configuration, the quantification means using the fundamental parameter method includes the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the theoretical intensity of the reference principal component. An intensity ratio instrument sensitivity curve creation step for creating an intensity ratio instrument sensitivity curve that is a correlation with the theoretical intensity ratio that is the ratio of the theoretical intensities of the contrasting principal components, and the measured intensity ratio on the theoretical intensity scale based on the intensity ratio instrument sensitivity curve An intensity ratio conversion step of converting to a converted measured intensity ratio, a content ratio update step of updating the content ratio, which is the ratio of the content ratio of the contrasting main component to the content ratio of the reference main component, based on the converted measured intensity ratio, A principal component content rate update step is executed to update the content rate of the contrasting principal component and the content rate of the reference principal component based on the latest content rate ratio. By performing these steps, which are not present in conventional fundamental parameter method algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

本発明の第3構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In the third configuration of the present invention, first, the sample is irradiated with primary X-rays, and the content of the component in the sample is determined by a quantitative means using the fundamental parameter method based on the measured intensity of the generated fluorescent X-rays. It is an X-ray analyzer.

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、測定強度と理論強度との相関である装置感度曲線を作成する装置感度曲線作成ステップと、対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップとを実行する。 Then, the quantification means designates a single reference principal component as a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents as components, and the content of each component is For a known standard sample, a standard sample measurement step of measuring the intensity of a measurement line that is a fluorescent X-ray corresponding to a component, and a standard sample theoretical intensity of calculating a theoretical intensity based on a known content rate for each measurement line A calculation step and, for each measurement line, based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, create an apparatus sensitivity curve that is a correlation between the measured intensity and the theoretical intensity. In the apparatus sensitivity curve creation step, for each measurement line corresponding to the comparison principal component, the measured intensity of the reference principal component is calculated based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step. Intensity ratio, which is the correlation between the measured intensity ratio, which is the ratio of the measured intensity of the contrasting principal component, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component. and a device sensitivity curve creation step.

さらに、前記定量手段が、前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、測定線ごとに、前記未知試料測定ステップでの測定強度および前記装置感度曲線作成ステップでの装置感度曲線に基づいて、測定強度を理論強度スケールに換算して換算測定強度とする強度換算ステップと、対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、各成分の含有率の初期値を設定する含有率初期値設定ステップとを実行する。 Further, the quantification means performs unknown sample measurement for measuring the intensity of the measurement line for an unknown sample in which the reference principal component, the comparison principal component, and the subcomponent are specified as components and the content ratio of each component is unknown. and for each measurement line, based on the measured intensity in the unknown sample measurement step and the device sensitivity curve in the device sensitivity curve creation step, the measured intensity is converted to a theoretical intensity scale and converted into a converted measured intensity. and for each measurement line corresponding to the contrast principal component, based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step, the measured intensity of the reference principal component An intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of the measured intensity of the contrasting main component, into a theoretical intensity scale and using it as a converted measured intensity ratio, and a content rate initial value setting for setting the initial value of the content rate of each component Execute steps.

さらにまた、前記定量手段が、測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、副成分ごとに、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、含有率を更新する副成分含有率更新ステップと、対比主成分および基準主成分について、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、推定含有率を計算する推定含有率計算ステップと、対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、前記推定含有率計算ステップでの対比主成分の推定含有率および基準主成分の推定含有率の合計と、最新の含有率比とに基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantification means includes an unknown sample theoretical strength calculation step of calculating the theoretical strength based on the latest content rate for each measurement line, a converted measured strength in the strength conversion step for each subcomponent, and the a subcomponent content rate updating step for updating the content rate based on the theoretical strength in the unknown sample theoretical strength calculation step; An estimated content rate calculation step of calculating an estimated content rate based on the theoretical strength in the sample theoretical strength calculation step, a converted measured strength ratio in the strength ratio conversion step, and the unknown sample theory for each comparison principal component a content ratio update step of updating a content ratio, which is the ratio of the content of the contrasting principal component to the content of the reference principal component, based on the theoretical strength ratio by the theoretical strength in the strength calculation step; Principal that updates the content of the contrasting principal component and the reference principal component based on the sum of the estimated content of the contrasting principal component and the estimated content of the reference principal component in the calculation step and the latest content ratio. executing a component content rate update step, a convergence determination step of performing convergence determination based on a predetermined convergence condition, and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained, In the convergence judging step, if the determination is non-converged, the procedure returns to the unknown sample theoretical intensity calculation step, and if the convergence is judged, the procedure advances to the result output step.

第3構成の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比を理論強度スケールに換算して換算測定強度比とする強度比換算ステップ、対比主成分および基準主成分について推定含有率を計算する推定含有率計算ステップ、換算測定強度比に基づいて基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップ、対比主成分の推定含有率および基準主成分の推定含有率の合計と最新の含有率比とに基づいて対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the fluorescent X-ray analyzer of the third configuration, the quantification means using the fundamental parameter method includes the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the theoretical intensity of the reference principal component. An intensity ratio instrument sensitivity curve creation step for creating an intensity ratio instrument sensitivity curve that is a correlation with the theoretical intensity ratio that is the ratio of the theoretical intensities of the contrasting principal components, and the measured intensity ratio on the theoretical intensity scale based on the intensity ratio instrument sensitivity curve an intensity ratio conversion step of converting to a converted measured intensity ratio; an estimated content ratio calculation step of calculating estimated content ratios for the comparison principal component and the reference principal component; A content ratio update step that updates the content ratio, which is the ratio of the content rates of the components, the comparison principal component based on the sum of the estimated content rates of the comparison principal component and the estimated content rates of the reference principal components and the latest content ratio and the content of the reference principal component are updated. By performing these steps, which are not present in conventional fundamental parameter method algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

第3構成の蛍光X線分析装置において、前記定量手段が、標準試料および未知試料について副成分が成分として指定されない場合には、前記副成分含有率更新ステップをスキップする。 In the fluorescent X-ray spectrometer of the third configuration, the quantification means skips the subcomponent content update step when subcomponents are not designated as components for the standard sample and the unknown sample.

本発明の第4構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In the fourth configuration of the present invention, first, a sample is irradiated with primary X-rays, and the content of components in the sample is determined by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays. It is an X-ray analyzer.

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップとを実行する。 Then, the quantification means designates a single reference principal component as a reference principal component and a comparison principal component to be compared with the reference principal component as components, and the content of each component is known. , a standard sample measurement step of measuring the intensity of a measurement line, which is a fluorescent X-ray corresponding to a component, for a standard sample in which an additional correction component used for matrix correction is specified from all components; For each, based on the known content rate and the measured intensity in the standard sample measurement step, the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the content rate of the reference principal component and an intensity ratio calibration curve creating step of creating an intensity ratio calibration curve that is a correlation with the content ratio, which is the ratio of the content ratios of the contrasting principal components, and that includes a matrix correction term.

さらに、前記定量手段が、前記基準主成分および前記対比主成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップと、各成分について、前記未補正含有率比計算ステップでの未補正含有率比に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する含有率初期値設定ステップとを実行する。 Further, the quantification means measures the intensity of the measurement line for an unknown sample in which the reference principal component and the comparison principal component are specified as components, the content rate of each component is unknown, and the additional correction component is specified. Uncorrected content rate before matrix correction based on the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step for each comparison principal component. An uncorrected content ratio calculation step for calculating the ratio, and for each component, the uncorrected content ratio before matrix correction is calculated based on the uncorrected content ratio in the uncorrected content ratio calculation step, and the content ratio A content rate initial value setting step for setting as an initial value of is executed.

さらにまた、前記定量手段が、対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、前記含有率比更新ステップで更新した含有率比に基づいて、各成分の含有率を更新する含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記含有率比更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantification means performs matrix correction on the uncorrected content ratio in the uncorrected content ratio calculation step for each comparison principal component based on the content ratio of the latest addition correction component, and the content ratio is a content ratio update step of updating the ratio; a content ratio update step of updating the content ratio of each component based on the content ratio updated in the content ratio update step; and convergence determination based on a predetermined convergence condition. and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained. The process returns to the content rate ratio update step, and if it is a determination of convergence, the procedure advances to the result output step.

第4構成の蛍光X線分析装置においては、検量線法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップ、未補正含有率比に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップ、更新した含有率比に基づいて各成分の含有率を更新する含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the fluorescent X-ray analyzer of the fourth configuration, the quantification means using the calibration curve method includes a measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the content ratio of the reference principal component. An intensity ratio calibration curve creation step for creating an intensity ratio calibration curve including a matrix correction term, which is a correlation with the content ratio, which is the ratio of the content ratio of the contrasting principal components, An uncorrected content ratio calculation step for calculating the corrected content ratio, and a content ratio update step for updating the content ratio by performing matrix correction on the uncorrected content ratio based on the content ratio of the latest additional correction component. , performs a content rate update step of updating the content rate of each component based on the updated content rate ratio. By performing these steps not found in conventional calibration curve algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

本発明の第5構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In the fifth configuration of the present invention, first, a sample is irradiated with primary X-rays, and the content of components in the sample is determined by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays. It is an X-ray analyzer.

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、副成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、副成分の測定強度と、副成分の含有率との相関であってマトリックス補正項を含む検量線を作成する検量線作成ステップと、対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップとを実行する。 Then, the quantification means designates a single reference principal component as a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents as components, and the content of each component is A standard sample measurement step of measuring the intensity of a measurement line, which is a fluorescent X-ray corresponding to a component, for a standard sample in which an additive correction component to be used for matrix correction is specified from all components, and a standard sample measurement step corresponding to the subcomponent. For each measurement line, based on the known content and the measured intensity in the standard sample measurement step, a calibration curve that is a correlation between the measured intensity of the subcomponent and the content of the subcomponent and includes a matrix correction term For each calibration curve creation step to be created and the measurement line corresponding to the comparison principal component, the measured intensity of the comparison principal component with respect to the measured intensity of the reference principal component based on the known content rate and the measured intensity in the standard sample measurement step Intensity ratio calibration that creates an intensity ratio calibration curve that includes a matrix correction term that is a correlation between the measured intensity ratio, which is the ratio of , and the content ratio, which is the ratio of the content of the contrasting principal component to the content of the reference principal component a line creation step;

さらに、前記定量手段が、前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、副成分ごとに、前記未知試料測定ステップでの測定強度および前記検量線作成ステップでの検量線に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する副成分含有率初期値設定ステップと、対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップと、対比主成分および基準主成分について、前記未補正含有率比計算ステップでの未補正含有率比と、前記副成分含有率初期値設定ステップでの副成分の未補正含有率とに基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する主成分含有率初期値設定ステップとを実行する。 Further, the quantification means performs the above An unknown sample measurement step of measuring the intensity of the measurement line, and for each subcomponent, the uncorrected content rate before matrix correction is calculated based on the measured intensity in the unknown sample measurement step and the calibration curve in the calibration curve creation step. A secondary component content rate initial value setting step of calculating and setting the initial value of the content rate, and the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step for each comparison principal component An uncorrected content ratio calculation step for calculating an uncorrected content ratio before matrix correction, and an uncorrected content ratio in the uncorrected content ratio calculation step for the comparison principal component and the reference principal component based on , the uncorrected content rate of the subcomponents in the subcomponent content rate initial value setting step, the uncorrected content rate before matrix correction is calculated, and the initial value of the main component content rate is set as the initial value of the content rate Perform configuration steps.

さらにまた、前記定量手段が、副成分ごとに、前記副成分含有率初期値設定ステップでの未補正含有率に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率を更新する副成分含有率更新ステップと、対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、前記含有率比更新ステップで更新した含有率比および前記副成分含有率更新ステップで更新した副成分の含有率に基づいて、対比主成分および基準主成分の含有率を更新する主成分含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記副成分含有率更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantifying means performs matrix correction on the uncorrected content rate in the subcomponent content rate initial value setting step for each subcomponent based on the content rate of the latest additional correction component, and calculates the content rate. A subcomponent content ratio update step to be updated, and for each comparison principal component, the latest addition correction component used in the subcomponent content ratio update step is updated with respect to the uncorrected content ratio in the uncorrected content ratio calculation step. A content ratio update step of performing matrix correction based on the content ratio and updating the content ratio, and containing the content ratio updated in the content ratio update step and the subcomponent content updated in the subcomponent content ratio update step a principal component content rate updating step of updating the content rate of the contrast principal component and the reference principal component based on the ratio; a convergence determination step of performing convergence determination based on a predetermined convergence condition; and a result output step of outputting the latest content rate as the content rate, and in the convergence determination step, if the determination is non-convergence, the procedure is returned to the subcomponent content rate update step to determine convergence. If so, the procedure advances to the result output step.

第5構成の蛍光X線分析装置においては、検量線法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップ、未補正含有率比に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップ、更新した含有率比に基づいて対比主成分および基準主成分の含有率を更新する主成分含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the fluorescent X-ray analyzer of the fifth configuration, the quantification means using the calibration curve method includes a measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the content ratio of the reference principal component. An intensity ratio calibration curve creation step for creating an intensity ratio calibration curve including a matrix correction term, which is a correlation with the content ratio, which is the ratio of the content ratio of the contrasting principal components, An uncorrected content ratio calculation step for calculating the corrected content ratio, and a content ratio update step for updating the content ratio by performing matrix correction on the uncorrected content ratio based on the content ratio of the latest additional correction component. , perform a principal component content rate update step of updating the content rate of the contrasting principal component and the reference principal component based on the updated content ratio. By performing these steps not found in conventional calibration curve algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

本発明の第6構成は、まず、試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置である。 In the sixth configuration of the present invention, first, a sample is irradiated with primary X-rays, and the content of components in the sample is determined by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays. It is an X-ray analyzer.

そして、前記定量手段が、基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、測定強度と含有率との相関であってマトリックス補正項を含む検量線を作成する検量線作成ステップと、対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップとを実行する。 Then, the quantification means designates a single reference principal component as a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents as components, and the content of each component is A standard sample measurement step of measuring the intensity of a measurement line, which is a fluorescent X-ray corresponding to a component, for a standard sample that is known and for which an additional correction component used for matrix correction is specified from all components; , based on the known content rate and the measured intensity in the standard sample measurement step, a calibration curve creation step of creating a calibration curve that is a correlation between the measured intensity and the content rate and includes a matrix correction term; For each corresponding measurement line, the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, based on the known content and the measured intensity in the standard sample measurement step, and the reference principal component and an intensity ratio calibration curve creation step of creating an intensity ratio calibration curve including a matrix correction term, which is a correlation with the content ratio, which is the ratio of the content ratio of the contrasting main component to the content ratio of .

さらに、前記定量手段が、前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、各成分について、前記未知試料測定ステップでの測定強度および前記検量線作成ステップでの検量線に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する含有率初期値設定ステップと、対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップとを実行する。 Further, the quantification means performs the above An unknown sample measurement step of measuring the intensity of the measurement line, and for each component, the uncorrected content rate before matrix correction is calculated based on the measured intensity in the unknown sample measurement step and the calibration curve in the calibration curve creation step. and a content rate initial value setting step for setting the initial value of the content rate, and for each comparison principal component, based on the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step , and an uncorrected content ratio calculation step of calculating an uncorrected content ratio before matrix correction.

さらにまた、前記定量手段が、副成分ごとに、前記含有率初期値設定ステップでの未補正含有率に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率を更新する副成分含有率更新ステップと、対比主成分および基準主成分について、前記含有率初期値設定ステップでの未補正含有率に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、推定含有率を計算する推定含有率計算ステップと、対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、前記推定含有率計算ステップでの対比主成分の推定含有率および基準主成分の推定含有率の合計と、前記含有率比更新ステップで更新した含有率比とに基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、所定の収束条件に基づいて収束判定を行う収束判定ステップと、求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、前記収束判定ステップにおいて、未収束の判定である場合には手順を前記副成分含有率更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める。 Furthermore, the quantification means performs matrix correction on the uncorrected content rate in the content rate initial value setting step based on the content rate of the latest additional correction component for each subcomponent, and updates the content rate. Sub-component content rate update step, and regarding the comparison principal component and the reference principal component, the content of the latest addition correction component used in the sub-component content rate update step with respect to the uncorrected content rate in the content rate initial value setting step an estimated content rate calculation step of performing matrix correction based on the ratio and calculating an estimated content rate; A content rate ratio update step for updating the content rate ratio by performing matrix correction based on the content rate of the latest addition correction component used in the rate update step, and an estimated content rate of the comparison principal component in the estimated content rate calculation step and updating the content rate of the comparison principal component and the content rate of the reference principal component based on the sum of the estimated content rates of the reference principal components and the content rate updated in the content rate updating step a convergence determination step of performing convergence determination based on a predetermined convergence condition; and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained, and in the convergence determination step , the procedure is returned to the subcomponent content rate updating step when it is judged as non-convergence, and the procedure is advanced to the result output step when it is judged as convergence.

第6構成の蛍光X線分析装置においては、検量線法を用いる定量手段が、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップ、対比主成分および基準主成分の未補正含有率に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、推定含有率を計算する推定含有率計算ステップ、未補正含有率比に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップ、対比主成分の推定含有率および基準主成分の推定含有率の合計と最新の含有率比とに基づいて対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比について十分に精確な分析がなされる。 In the fluorescent X-ray analyzer of the sixth configuration, the quantification means using the calibration curve method is the measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and the content ratio of the reference principal component. An intensity ratio calibration curve creation step for creating an intensity ratio calibration curve including a matrix correction term, which is a correlation with the content ratio, which is the ratio of the content ratio of the contrasting principal components, In the uncorrected content ratio calculation step for calculating the corrected content ratio, the uncorrected content ratios of the comparison principal component and the reference principal component are subjected to matrix correction based on the content ratio of the latest addition correction component, and the estimated content ratio is calculated as Estimated content rate calculation step for calculation, matrix correction for uncorrected content rate ratio based on the content rate of the latest addition correction component, content rate update step for updating the content rate ratio, estimated content of comparison principal component perform a principal component content update step of updating the content of the contrasting principal component and the reference principal component based on the sum of the ratio and the estimated content of the reference principal component and the latest content ratio; By performing these steps not found in conventional calibration curve algorithms, a sufficiently accurate analysis of the content ratios of the principal components is obtained.

第6構成の蛍光X線分析装置において、前記定量手段が、標準試料および未知試料について副成分が成分として指定されない場合には、前記副成分含有率更新ステップをスキップする。 In the X-ray fluorescence spectrometer of the sixth configuration, the quantification means skips the subcomponent content update step when subcomponents are not designated as components for the standard sample and the unknown sample.

本発明の蛍光X線分析装置においては、前記定量手段が、前記標準試料測定ステップでの測定強度および前記未知試料測定ステップでの測定強度として、試料の分析面の高さと測定強度との相関に基づいて、試料の分析面の高さの変動が測定強度に及ぼす影響を除去するように補正した測定強度を用いてもよい。試料の形態によっては、このように高さ補正を行うことにより、主成分同士の含有率の比についていっそう精確な分析がなされる。 In the fluorescent X-ray spectrometer of the present invention, the quantification means determines the correlation between the height of the analysis surface of the sample and the measured intensity as the measured intensity in the standard sample measuring step and the measured intensity in the unknown sample measuring step. Based on this, the measured intensity corrected to remove the effect of the height variation of the sample analysis surface on the measured intensity may be used. Depending on the morphology of the sample, such a height correction provides a more accurate analysis of the content ratios of the main components.

本発明の第1実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。4 is a flow chart showing the operation of the quantification means included in the fluorescent X-ray spectrometer according to the first embodiment of the present invention; 本発明の第2実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。It is a flowchart which shows operation|movement of the fixed_quantity|quantitative_assay means with which the fluorescence X-ray-analysis apparatus of 2nd Embodiment of this invention is equipped. 本発明の第3実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。It is a flowchart which shows operation|movement of the fixed_quantity|quantitative_assay means with which the fluorescence X-ray-analysis apparatus of 3rd Embodiment of this invention is provided. 本発明の第4実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。It is a flowchart which shows operation|movement of the fixed_quantity|quantitative_assay means with which the fluorescence X-ray-analysis apparatus of 4th Embodiment of this invention is provided. 本発明の第5実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。FIG. 10 is a flow chart showing the operation of the quantification means included in the fluorescent X-ray spectrometer according to the fifth embodiment of the present invention; FIG. 本発明の第6実施形態の蛍光X線分析装置が備える定量手段の動作を示すフローチャートである。FIG. 10 is a flow chart showing the operation of a quantification means included in the fluorescent X-ray spectrometer according to the sixth embodiment of the present invention; FIG. 本発明の第1~第6実施形態の蛍光X線分析装置を示す概略図である。1 is a schematic diagram showing a fluorescent X-ray analyzer according to first to sixth embodiments of the present invention; FIG.

以下、本発明の第1実施形態の蛍光X線分析装置について説明する。図7に示すように、第1実施形態の蛍光X線分析装置は、試料1,14(未知試料1と標準試料14の双方を含む)に1次X線3を照射して発生する2次X線5の強度を測定する走査型の蛍光X線分析装置であって、試料1,14が載置される試料台2と、試料1,14に1次X線3を照射するX線管などのX線源4と、試料1,14から発生する蛍光X線などの2次X線5を分光する分光素子6と、その分光素子6で分光された2次X線7が入射され、その強度を検出する検出器8とを備えている。検出器8の出力は、図示しない増幅器、波高分析器、計数手段などを経て、装置全体を制御するコンピューターなどの制御手段11に入力される。 A fluorescent X-ray analyzer according to a first embodiment of the present invention will be described below. As shown in FIG. 7, the X-ray fluorescence spectrometer of the first embodiment irradiates samples 1 and 14 (including both the unknown sample 1 and the standard sample 14) with primary X-rays 3 to generate secondary X-rays. A scanning fluorescent X-ray analyzer for measuring the intensity of X-rays 5, comprising a sample table 2 on which samples 1 and 14 are placed, and an X-ray tube for irradiating the samples 1 and 14 with primary X-rays 3. X-ray source 4 such as, spectroscopic element 6 for dispersing secondary X-rays 5 such as fluorescent X-rays generated from samples 1 and 14, and secondary X-rays 7 separated by spectroscopic element 6 are incident, and a detector 8 for detecting the intensity thereof. The output of the detector 8 passes through an amplifier (not shown), a pulse height analyzer, a counting means, etc., and is input to a control means 11 such as a computer for controlling the entire apparatus.

第1実施形態の蛍光X線分析装置は、波長分散型でかつ走査型の蛍光X線分析装置であり、検出器8に入射する2次X線7の波長が変化するように、分光素子6と検出器8を連動させる連動手段10、すなわちいわゆるゴニオメーターを備えている。2次X線5がある入射角θで分光素子6へ入射すると、その2次X線5の延長線9と分光素子6で分光(回折)された2次X線7は入射角θの2倍の分光角2θをなすが、連動手段10は、分光角2θを変化させて分光される2次X線7の波長を変化させつつ、その分光された2次X線7が検出器8に入射するように、分光素子6を、その表面の中心を通る紙面に垂直な軸Oを中心に回転させ、その回転角の2倍だけ、検出器8を、軸Oを中心に円12に沿って回転させる。分光角2θの値(2θ角度)は、連動手段10から制御手段11に入力される。 The X-ray fluorescence spectrometer of the first embodiment is a wavelength dispersive and scanning X-ray fluorescence spectrometer. It has an interlocking means 10 for interlocking the detector 8, that is, a so-called goniometer. When the secondary X-ray 5 is incident on the spectroscopic element 6 at an incident angle θ, the extension line 9 of the secondary X-ray 5 and the secondary X-ray 7 dispersed (diffracted) by the spectroscopic element 6 are 2 of the incident angle θ. The interlocking means 10 changes the spectral angle 2θ to change the wavelength of the secondary X-rays 7 to be dispersed, and the secondary X-rays 7 thus dispersed are directed to the detector 8. The spectroscopic element 6 is rotated about an axis O through the center of its surface and perpendicular to the plane of the paper, so as to be incident, and the detector 8 is rotated twice its rotation angle along a circle 12 about the axis O. to rotate. The value of the spectral angle 2θ (2θ angle) is input from the interlocking means 10 to the control means 11 .

第1実施形態の蛍光X線分析装置は、制御手段11に搭載されるプログラムとして定量手段13を備えており、蛍光X線5の測定強度に基づいて、ファンダメンタルパラメーター法を用いる定量手段13により、試料1,14中の成分の含有率を求める。なお、本発明においては、蛍光X線分析装置は、波長分散型でかつ多元素同時分析型の蛍光X線分析装置でもよいし、エネルギー分散型の蛍光X線分析装置でもよい。 The X-ray fluorescence spectrometer of the first embodiment includes a quantification means 13 as a program installed in the control means 11. Based on the measured intensity of the X-ray fluorescence 5, the quantification means 13 using the fundamental parameter method The contents of the components in Samples 1 and 14 are determined. In the present invention, the X-ray fluorescence spectrometer may be a wavelength dispersive and multi-element simultaneous analysis X-ray fluorescence spectrometer, or may be an X-ray fluorescence spectrometer of an energy dispersive type.

次に、第1実施形態の蛍光X線分析装置が備える定量手段13の動作について、図1のフローチャートにしたがって説明する。定量手段13は、まず、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1とが成分i(b,i1を包含する)として指定され、各成分iの含有率W(W,Wi1を包含する)が既知である標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。ここで、成分iについての測定強度IiMは、基準主成分bについての測定強度IbMと対比主成分i1についての測定強度Ii1Mを包含する。 Next, the operation of the quantification means 13 provided in the fluorescent X-ray spectrometer of the first embodiment will be described according to the flowchart of FIG. First, in the standard sample measurement step, the quantification means 13 determines a single reference principal component b as a reference principal component and a single or a plurality of contrasting principal components i1 to be contrasted with the reference principal component b. i (including b and i1), and the content ratio W i (including W b and W i1 ) of each component i is known. Measure the intensity of a measurement line. Here, the measured intensity IiM for the component i includes the measured intensity IbM for the reference principal component b and the measured intensity Ii1M for the contrast principal component i1.

次に、標準試料理論強度計算ステップにおいて、測定線ごとに、既知の含有率Wに基づいて公知の理論強度式により理論強度IiT(IbT,Ii1Tを包含する)を計算する。 Next, in the standard sample theoretical strength calculation step, the theoretical strength I iT (including I bT and I i1T ) is calculated for each measurement line based on the known content rate W i by a known theoretical strength formula.

次に、強度比装置感度曲線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、前記標準試料測定ステップでの測定強度IiMおよび前記標準試料理論強度計算ステップでの理論強度IiTに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRT(つまり、Ii1bRT=Ii1T/IbT)との相関である強度比装置感度曲線を作成する。具体的には、強度比装置感度曲線を示す次式(1)の強度比装置感度係数Ai1R,Bi1R,Ci1Rを求める。 Next, in the intensity ratio instrument sensitivity curve creation step, for each measurement line corresponding to the contrast principal component i1, the measured intensity I iM in the standard sample measurement step and the theoretical intensity I iT in the standard sample theoretical intensity calculation step based on the measured intensity ratio I i1bRM (that is, I i1bRM =I i1M /I bM ), which is the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM of the reference principal component b, and An intensity ratio instrument sensitivity curve is constructed that is a correlation with the theoretical intensity ratio I i1bRT (ie, I i1bRT =I i1T /I bT ), which is the ratio of the theoretical intensity I i1T of the contrasting principal component i1 to the theoretical intensity I bT . Specifically, the intensity ratio instrument sensitivity coefficients A i1R , B i1R , and C i1R of the following equation (1) representing the intensity ratio instrument sensitivity curve are obtained.

i1bRT=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(1) I i1bRT =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (1)

次に、未知試料測定ステップにおいて、前記基準主成分bおよび前記対比主成分i1が成分iとして指定され、各成分iの含有率Wが未知である未知試料1について、前記測定線の強度IiMを測定する。 Next, in the unknown sample measurement step, the reference principal component b and the contrasting principal component i1 are designated as the component i, and the content ratio W i of each component i is unknown for the unknown sample 1, the intensity I Measure iM .

次に、強度比換算ステップにおいて、対比主成分i1に対応する測定線ごとに、前記未知試料測定ステップでの測定強度Ii1M,IbMおよび前記強度比装置感度曲線作成ステップでの強度比装置感度曲線(式(1))に基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMを、次式(2)に示すように理論強度スケールに換算して換算測定強度比Ii1bRTMとする。 Next, in the intensity ratio conversion step, the measured intensities I i1M and I bM in the unknown sample measurement step and the intensity ratio instrument sensitivity in the intensity ratio instrument sensitivity curve creation step are calculated for each measurement line corresponding to the contrast principal component i1. Based on the curve (equation (1)), the measured intensity ratio Ii1bRM , which is the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b, is expressed by the following equation (2). Convert to the theoretical intensity scale to obtain the converted measured intensity ratio Ii1bRTM .

i1bRTM=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(2) I i1bRTM =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (2)

次に、含有率初期値設定ステップにおいて、各成分i1,bの含有率の初期値Wi1(0),W(0)を設定する。具体的には、まず、対比主成分i1ごとに、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1bの初期値Ri1b(0)を、次式(3)に示すように設定する。 Next, in the content rate initial value setting step, initial values W i1 (0) and W b (0) of the content rates of the respective components i1 and b are set. Specifically, first, for each comparative principal component i1, the initial value R i1b (0) of the content ratio R i1b that is the ratio of the content ratio W i1 of the comparative principal component i1 to the content W b of the reference principal component b is set as shown in the following equation (3).

i1b(0)=Ii1bRTM/(Ii1TPure/IbTPure) …(3)
i1bRTM:強度比換算ステップで求めた換算測定強度比
i1TPure:対比主成分i1のみからなる試料での同成分i1の理論強度
bTPure:基準主成分bのみからなる試料での同成分bの理論強度
R i1b (0)=I i1bRTM /(I i1TPure /I bTPure ) (3)
I i1bRTM : Converted measured intensity ratio obtained in the intensity ratio conversion step I i1TPure : Theoretical intensity of the same component i1 in a sample consisting only of the contrasting principal component i1 I bTPure : The intensity of the same component b in a sample consisting only of the reference principal component b theoretical strength

そして、含有率比の初期値Ri1b(0)に基づいて、各成分i1,bの含有率の初期値Wi1(0),W(0)を、次式(4)、(5)で求めて設定する。 Then, based on the initial value R i1b (0) of the content ratio, the initial values W i1 (0) and W b (0) of the content of the respective components i1 and b are calculated by the following equations (4) and (5). , and set it.

(0)=100/(1+ΣRi1b(0)) …(4)
i1(0)=Ri1b(0)×W(0) …(5)
W b (0)=100/(1+ΣR i1b (0)) (4)
Wi1 (0)= Ri1b (0)×Wb(0) ( 5)

なお、ファンダメンタルパラメーター法における各成分i(i1,b)の含有率の初期値W(0)(Wi1(0),W(0))の設定については、種々の公知の手法があるので、それらの手法から適宜選択し、上述の式(3)~(5)を用いる手法に代えて利用してもよい。例えば、複数の標準試料において既知の各成分の含有率について平均値を求めて初期値Wi1(0),W(0)として設定してもよいし、単純に100(mass%)を成分数で除した値を各成分の含有率の初期値Wi1(0),W(0)として設定してもよい。この場合、含有率の初期値の比Wi1(0)/W(0)を、含有率比の初期値Ri1b(0)として含有率初期値設定ステップで設定してもよい。また、含有率初期値設定ステップでは含有率比の初期値Ri1b(0)を設定せずに、後述する含有率比更新ステップの1回目において、含有率の初期値の比Wi1(0)/W(0)を更新前の含有率比Ri1b(n-1)とすることで、含有率比の初期値Ri1b(0)を設定してもよい。 There are various known methods for setting the initial value W i (0) (W i1 (0), W b (0)) of the content of each component i (i1, b) in the fundamental parameter method. Therefore, it is also possible to appropriately select one of these methods and use it instead of the method using the above equations (3) to (5). For example, the average content of each known component in a plurality of standard samples may be determined and set as the initial values W i1 (0) and W b (0), or simply 100 (mass%) of the component Values obtained by dividing by numbers may be set as initial values W i1 (0) and W b (0) of the content of each component. In this case, the ratio W i1 (0)/W b (0) of the initial value of the content rate may be set as the initial value R i1b (0) of the content rate in the content rate initial value setting step. In addition, in the content ratio initial value setting step, the initial value of the content ratio R i1b (0) is not set, and in the first content ratio updating step described later, the initial value of the content ratio W i1 (0) The initial value R i1b (0) of the content ratio may be set by setting /W b (0) as the content ratio R i1b (n−1) before updating.

次に、繰り返し計算に入り、未知試料理論強度計算ステップにおいて、測定線ごとに、最新の含有率W(n-1)に基づいて公知の理論強度式により理論強度IiT(n-1)を計算する。ここで、含有率W(n)、次に述べる含有率比Ri1b(n)の()内の数値nは、含有率W、含有率比Ri1bを更新する繰り返し計算の回数であり、繰り返し計算に入って初回の計算を1回目(n=1)として起算し、繰り返し計算前の初期値の計算を0回目(n-1=0)とする。数値nの定義については、他の実施形態の装置においても同じである。 Next, in the step of calculating the theoretical strength of an unknown sample, the theoretical strength I iT (n-1) is calculated for each measurement line based on the latest content W i (n-1) by a known theoretical strength formula. to calculate Here, the content ratio W i (n) and the numerical value n in parentheses of the content ratio R i1b (n) described below are the number of iterative calculations for updating the content ratio W i and the content ratio R i1b . , the first calculation after entering the repeated calculation is regarded as the first calculation (n=1), and the calculation of the initial value before the repeated calculation is regarded as the 0th time (n−1=0). The definition of the numerical value n is the same for devices of other embodiments.

次に、含有率比更新ステップにおいて、対比主成分i1ごとに、前記強度比換算ステップでの換算測定強度比Ii1bRTMと、前記未知試料理論強度計算ステップでの理論強度Ii1T(n-1),IbT(n-1)による理論強度比Ii1bRT(n-1)(つまり、Ii1bRT(n-1)=Ii1T(n-1)/IbT(n-1))とに基づいて、基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)(つまり、Ri1b(n-1)=Wi1(n-1)/W(n-1))を、次式(6)のようにRi1b(n)に更新する。ここで、更新前の含有率比Ri1b(n-1)として、繰り返し計算の1回目においては、前述したように、含有率の初期値の比Wi1(0)/W(0)が用いられ、繰り返し計算の2回目においては、前回の繰り返し計算で更新された含有率の比Wi1(n-1)/W(n-1)が用いられる。 Next, in the content ratio update step, for each comparative principal component i1, the converted measured intensity ratio I i1bRTM in the intensity ratio conversion step and the theoretical intensity I i1T (n-1) in the unknown sample theoretical intensity calculation step , I bT (n-1) based on the theoretical intensity ratio I i1bRT (n-1) (that is, I i1bRT (n-1)=I i1T (n-1)/I bT (n-1)) , the content ratio R i1b ( n-1) (that is, R i1b ( n-1)=W i1 (n-1)/W b (n-1)) is updated to R i1b (n) as in the following equation (6). Here, as the content rate ratio R i1b (n-1) before updating, in the first iterative calculation, as described above, the initial value ratio of the content rates W i1 (0)/W b (0) is In the second iterative calculation, the content rate ratio W i1 (n-1)/W b (n-1) updated in the previous iterative calculation is used.

i1b(n)=Ri1b(n-1)×(Ii1bRTM/Ii1bRT(n-1)) …(6) R i1b (n)=R i1b (n−1)×(I i1bRTM /I i1bRT (n−1)) (6)

次に、含有率更新ステップにおいて、各成分i1,bの含有率Wi1(n-1),W(n-1)を、最新の含有率比Ri1b(n)に基づいて次式(7)、(8)で求めたWi1(n),W(n)に更新する。 Next, in the content ratio updating step, the content ratios W i1 (n-1) and W b (n-1) of the components i1 and b are updated based on the latest content ratio R i1b (n) by the following equation ( 7) Update to W i1 (n) and W b (n) obtained in (8).

(n)=100/(1+ΣRi1b(n)) …(7)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=100/(1+ΣR i1b (n)) (7)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行う。ここで、所定の収束条件としては、公知の手法に基づき、例えば、含有率更新ステップにおける更新前後の含有率の比W(n)/W(n-1)と1との差の絶対値が、所定の値未満であるという条件や、繰り返し計算の回数nが所定の回数に達したという条件が考えられる。そして、所定の収束条件を満たさない場合には、未収束(No)と判定して手順を未知試料理論強度計算ステップへ戻し、含有率更新ステップで更新した含有率W(n)を最新の含有率W(n-1)として、収束判定ステップまでの手順を繰り返す。一方、所定の収束条件が満たされた場合には、収束(Yes)と判定して繰り返し計算を終了し、手順を結果出力ステップへ進める。 Next, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition. Here, as the predetermined convergence condition , based on a known technique, for example, the absolute A condition that the value is less than a predetermined value and a condition that the number of times n of repeated calculations reaches a predetermined number are conceivable. Then, if the predetermined convergence condition is not satisfied, it is determined as unconverged (No), the procedure is returned to the unknown sample theoretical strength calculation step, and the content rate W i (n) updated in the content rate update step is updated to the latest The procedure up to the convergence determination step is repeated with the content rate W i (n-1). On the other hand, if the predetermined convergence condition is satisfied, it is judged as convergence (Yes), the iterative calculation is terminated, and the procedure proceeds to the result output step.

結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 In the result output step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained.

以上のように、第1実施形態の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRTとの相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比Ii1bRMを理論強度スケールに換算して換算測定強度比Ii1bRTMとする強度比換算ステップ、換算測定強度比Ii1bRTMに基づいて基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)をRi1b(n)に更新する含有率比更新ステップ、最新の含有率比Ri1b(n)に基づいて各成分i1,bの含有率Wi1(n-1),W(n-1)をWi1(n),W(n)に更新する含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the X-ray fluorescence spectrometer of the first embodiment, the quantification means 13 using the fundamental parameter method calculates the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. The intensity ratio that is the correlation between a certain measured intensity ratio Ii1bRM and the theoretical intensity ratio Ii1bRT , which is the ratio of the theoretical intensity Ii1T of the contrasting principal component i1 to the theoretical intensity IbT of the reference principal component b, to create an intensity ratio instrument sensitivity curve. A ratio instrument sensitivity curve creation step, an intensity ratio conversion step of converting the measured intensity ratio I i1bRM to a theoretical intensity scale based on the intensity ratio instrument sensitivity curve to obtain a converted measured intensity ratio I i1bRTM , based on the converted measured intensity ratio I i1bRTM The content ratio R i1b (n-1), which is the ratio of the content W i1 (n-1) of the contrasting main component i1 to the content W b (n-1) of the reference main component b, is set to R i1b (n). Content rate update step to update, the content rate W i1 (n-1), W b (n-1) of each component i1 , b based on the latest content rate R i1b (n) to Wi1 (n) , W b (n). By performing these steps, which are not present in the conventional fundamental parameter method algorithm, a sufficiently accurate analysis is made of the content ratio R i1b between the main components.

第1実施形態の蛍光X線分析装置でのファンダメンタルパラメーター法による定量分析においては、主成分について、式(1)で示したような測定強度比と理論強度比との相関である強度比装置感度曲線は利用されるが、測定強度と理論強度との相関である従来の装置感度曲線は利用されない。このような定量手法を第1成分定量法と呼ぶこととする。 In the quantitative analysis by the fundamental parameter method in the fluorescent X-ray analyzer of the first embodiment, for the principal component, the intensity ratio, which is the correlation between the measured intensity ratio and the theoretical intensity ratio as shown in equation (1), is the instrument sensitivity A curve is utilized, but not a traditional instrument sensitivity curve which is a correlation between measured intensity and theoretical intensity. Such a quantification method is called a first component quantification method.

次に、第2実施形態の蛍光X線分析装置について説明する。第2実施形態の蛍光X線分析装置では、第1実施形態の蛍光X線分析装置と同様にファンダメンタルパラメーター法の第1成分定量法が用いられるが、対象とする標準試料および未知試料が、主成分のみならず、副成分も含んでいる。副成分とは、例えば低含有率成分で、対応する測定線について強度比装置感度曲線が作成されない成分である。第2実施形態の蛍光X線分析装置の構成としては、備える定量手段13の動作のみが、第1実施形態の蛍光X線分析装置と異なるので、その異なる動作について、図2のフローチャートにしたがって説明する。 Next, the fluorescent X-ray spectrometer of the second embodiment will be described. The X-ray fluorescence spectrometer of the second embodiment uses the fundamental parameter method for quantifying the first component in the same way as the X-ray fluorescence spectrometer of the first embodiment. It contains not only ingredients but also sub-ingredients. A minor component is, for example, a component with a low content and for which an intensity ratio instrument sensitivity curve is not generated for the corresponding measurement line. The configuration of the X-ray fluorescence spectrometer of the second embodiment differs from that of the X-ray fluorescence spectrometer of the first embodiment only in the operation of the quantification means 13 provided. do.

定量手段13は、まず、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1と、単一または複数の副成分i2とが成分i(b,i1,i2を包含する)として指定され、各成分iの含有率W(W,Wi1,Wi2を包含する)が既知である標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。ここで、成分iについての測定強度IiMは、基準主成分bについての測定強度IbMと、対比主成分i1についての測定強度Ii1Mと、副成分i2についての測定強度Ii2Mを包含する。 First, in the standard sample measurement step, the quantification means 13 includes a single reference principal component b as a reference principal component, a single or a plurality of contrasting principal components i1 to be contrasted with the reference principal component b, and a single One or more subcomponents i2 are designated as components i (including b, i1, i2) and the content W i of each component i (including W b , W i1 , W i2 ) is known For the standard sample 14, the intensity of the measurement line, which is the fluorescent X-ray 5 corresponding to the component i, is measured. Here, the measured intensity I iM for component i includes the measured intensity I bM for the reference principal component b, the measured intensity I i1M for the contrast principal component i1, and the measured intensity I i2M for the minor component i2.

次に、標準試料理論強度計算ステップにおいて、測定線ごとに、既知の含有率Wに基づいて公知の理論強度式により理論強度IiT(IbT,Ii1T,Ii2Tを包含する)を計算する。 Next, in the standard sample theoretical strength calculation step, the theoretical strength I iT (including I bT , I i1T , and I i2T ) is calculated by a known theoretical strength formula based on the known content rate W i for each measurement line. do.

次に、装置感度曲線作成ステップにおいて、副成分i2に対応する測定線ごとに、前記標準試料測定ステップでの測定強度Ii2Mおよび前記標準試料理論強度計算ステップでの理論強度Ii2Tに基づいて、副成分i2の測定強度Ii2Mと、副成分i2の理論強度Ii2Tとの相関である装置感度曲線を作成する。具体的には、装置感度曲線を示す次式(9)の装置感度係数Ai2,Bi2,Ci2を求める。 Next, in the device sensitivity curve creation step, based on the measured intensity Ii2M in the standard sample measurement step and the theoretical intensity Ii2T in the standard sample theoretical intensity calculation step, for each measurement line corresponding to the subcomponent i2, A device sensitivity curve is constructed which is the correlation between the measured intensity I i2M of subcomponent i2 and the theoretical intensity I i2T of subcomponent i2. Specifically, the device sensitivity coefficients A i2 , B i2 , and C i2 of the following equation (9) representing the device sensitivity curve are obtained.

i2T=Ai2i2M +Bi2i2M+Ci2 …(9) Ii2T =Ai2Ii2M2 + Bi2Ii2M + Ci2 ( 9)

次に、第1実施形態の蛍光X線分析装置と同様に、強度比装置感度曲線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、前記標準試料測定ステップでの測定強度IiMおよび前記標準試料理論強度計算ステップでの理論強度IiTに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRT(つまり、Ii1bRT=Ii1T/IbT)との相関である強度比装置感度曲線を作成する。具体的には、強度比装置感度曲線を示す次式(1)の強度比装置感度係数Ai1R,Bi1R,Ci1Rを求める。 Next, similarly to the fluorescent X-ray analyzer of the first embodiment, in the intensity ratio instrument sensitivity curve creation step, for each measurement line corresponding to the contrast principal component i1, the measured intensity IiM in the standard sample measurement step and Based on the theoretical intensity I iT in the standard sample theoretical intensity calculation step, the measured intensity ratio I i1bRM ( that is , I i1bRM = I i1M /I bM ), and a theoretical intensity ratio I i1bRT (that is, I i1bRT =I i1T /I bT ), which is the ratio of the theoretical intensity I i1T of the contrasting principal component i1 to the theoretical intensity I bT of the reference principal component b. Create an intensity ratio instrument sensitivity curve that is a correlation of Specifically, the intensity ratio instrument sensitivity coefficients A i1R , B i1R , and C i1R of the following equation (1) representing the intensity ratio instrument sensitivity curve are obtained.

i1bRT=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(1) I i1bRT =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (1)

次に、未知試料測定ステップにおいて、前記基準主成分b、前記対比主成分i1および前記副成分i2が成分iとして指定され、各成分iの含有率Wが未知である未知試料1について、前記測定線の強度IiMを測定する。 Next, in the unknown sample measurement step, for the unknown sample 1 in which the reference principal component b, the contrasting principal component i1 and the subcomponent i2 are designated as the component i, and the content ratio W i of each component i is unknown, the Measure the intensity I iM of the measurement line.

次に、強度換算ステップにおいて、副成分i2に対応する測定線ごとに、前記未知試料測定ステップでの測定強度Ii2Mおよび前記装置感度曲線作成ステップでの装置感度曲線(式(9))に基づいて、副成分i2の測定強度Ii2Mを、次式(10)に示すように理論強度スケールに換算して換算測定強度Ii2TMとする。 Next, in the intensity conversion step, for each measurement line corresponding to the subcomponent i2, based on the measured intensity I i2M in the unknown sample measurement step and the device sensitivity curve (equation (9)) in the device sensitivity curve creation step Then, the measured intensity Ii2M of the subcomponent i2 is converted to a theoretical intensity scale as shown in the following equation (10) to obtain a converted measured intensity Ii2TM .

i2TM=Ai2i2M +Bi2i2M+Ci2 …(10) Ii2TM =Ai2Ii2M2 + Bi2Ii2M + Ci2 ( 10)

次に、第1実施形態の蛍光X線分析装置と同様に、強度比換算ステップにおいて、対比主成分i1に対応する測定線ごとに、前記未知試料測定ステップでの測定強度Ii1M,IbMおよび前記強度比装置感度曲線作成ステップでの強度比装置感度曲線(式(1))に基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMを、次式(2)に示すように理論強度スケールに換算して換算測定強度比Ii1bRTMとする。 Next, similarly to the fluorescent X-ray analyzer of the first embodiment, in the intensity ratio conversion step, for each measurement line corresponding to the contrast principal component i1, the measured intensities I i1M , I bM and Based on the intensity ratio instrument sensitivity curve (equation (1)) in the intensity ratio instrument sensitivity curve creation step, the measured intensity, which is the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM of the reference principal component b The ratio Ii1bRM is converted to a theoretical intensity scale as shown in the following equation (2) to obtain a converted measured intensity ratio Ii1bRTM .

i1bRTM=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(2) I i1bRTM =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (2)

次に、含有率初期値設定ステップにおいて、各成分i1,b,i2の含有率の初期値Wi1(0),W(0),Wi2(0)を設定する。具体的には、まず、対比主成分i1ごとに、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1bの初期値Ri1b(0)を、次式(3)に示すように設定する。 Next, in the content rate initial value setting step, initial values W i1 (0), W b (0), and W i2 (0) of the content rates of the respective components i1, b, and i2 are set. Specifically, first, for each comparative principal component i1, the initial value R i1b (0) of the content ratio R i1b that is the ratio of the content ratio W i1 of the comparative principal component i1 to the content W b of the reference principal component b is set as shown in the following equation (3).

i1b(0)=Ii1bRTM/(Ii1TPure/IbTPure) …(3)
i1bRTM:強度比換算ステップで求めた換算測定強度比
i1TPure:対比主成分i1のみからなる試料での同成分i1の理論強度
bTPure:基準主成分bのみからなる試料での同成分bの理論強度
R i1b (0)=I i1bRTM /(I i1TPure /I bTPure ) (3)
I i1bRTM : Converted measured intensity ratio obtained in the intensity ratio conversion step I i1TPure : Theoretical intensity of the same component i1 in a sample consisting only of the contrasting principal component i1 I bTPure : The intensity of the same component b in a sample consisting only of the reference principal component b theoretical strength

また、副成分i2ごとに、含有率の初期値Wi2(0)を、次式(11)に示すように設定する。 An initial value W i2 (0) of the content rate is set for each subcomponent i2 as shown in the following equation (11).

i2(0)=(Ii2TM/Ii2TPure)×100 …(11)
i2TM:強度換算ステップで求めた換算測定強度
i2TPure:副成分i2のみからなる試料での同成分i2の理論強度
W i2 (0)=(I i2TM /I i2TPure )×100 (11)
I i2TM : Converted measured intensity obtained in the intensity conversion step I i2TPure : Theoretical intensity of subcomponent i2 in a sample consisting only of subcomponent i2

そして、含有率比の初期値Ri1b(0)、副成分i2の含有率の初期値Wi2(0)に基づいて、対比主成分i1の含有率の初期値Wi1(0)、基準主成分bの含有率のW(0)を、次式(12)、(5)で求めて設定する。 Then, based on the initial value R i1b (0) of the content ratio and the initial value W i2 (0) of the content of the subcomponent i2, the initial value W i1 (0) of the content of the comparative main component i1, the reference principal W b (0) of the content of the component b is determined and set by the following equations (12) and (5).

(0)=(100-ΣWi2(0))/(1+ΣRi1b(0)) …(12)
i1(0)=Ri1b(0)×W(0) …(5)
W b (0)=(100−ΣW i2 (0))/(1+ΣR i1b (0)) (12)
Wi1 (0)= Ri1b (0)×Wb(0) ( 5)

なお、上述の手法に代えて、第1実施形態の蛍光X線分析装置について説明したのと同様に、例えば、複数の標準試料において既知の各成分の含有率について平均値を求めて初期値Wi1(0),W(0),Wi2(0)として設定してもよいし、単純に100(mass%)を成分数で除した値を各成分の含有率の初期値Wi1(0),W(0),Wi2(0)として設定してもよい。その場合の含有率比の初期値Ri1b(0)の設定についても、第1実施形態の蛍光X線分析装置について説明したのと同様である。 Instead of the above-described method, in the same manner as described for the fluorescent X-ray analyzer of the first embodiment, for example, the average content of each known component in a plurality of standard samples is obtained, and the initial value W i1 (0), W b (0), and W i2 (0) may be set, or the initial value W i1 ( 0), W b (0), and W i2 (0). The setting of the initial value R i1b (0) of the content ratio in that case is also the same as described for the fluorescent X-ray spectrometer of the first embodiment.

次に、繰り返し計算に入り、第1実施形態の蛍光X線分析装置と同様に、未知試料理論強度計算ステップにおいて、測定線ごとに、最新の含有率W(n-1)に基づいて公知の理論強度式により理論強度IiT(n-1)を計算する。 Next, the calculation is repeated, and in the step of calculating the theoretical intensity of the unknown sample, as in the X-ray fluorescence spectrometer of the first embodiment, the latest content W i (n-1) is known for each measurement line. The theoretical intensity I iT (n-1) is calculated by the theoretical intensity formula of .

次に、副成分含有率更新ステップにおいて、副成分i2ごとに、前記強度換算ステップでの換算測定強度Ii2TMと、前記未知試料理論強度計算ステップでの理論強度Ii2T(n-1)とに基づいて、含有率Wi2(n-1)を、次式(13)のようにWi2(n)に更新する。 Next, in the subcomponent content rate update step, for each subcomponent i2, the converted measured intensity I i2TM in the intensity conversion step and the theoretical intensity I i2T (n-1) in the unknown sample theoretical intensity calculation step Based on this, the content rate W i2 (n−1) is updated to W i2 (n) as in the following equation (13).

i2(n)=Wi2(n-1)×(Ii2TM/Ii2T(n-1)) …(13) W i2 (n)=W i2 (n−1)×(I i2TM /I i2T (n−1)) (13)

次に、第1実施形態の蛍光X線分析装置と同様に、含有率比更新ステップにおいて、対比主成分i1ごとに、前記強度比換算ステップでの換算測定強度比Ii1bRTMと、前記未知試料理論強度計算ステップでの理論強度Ii1T(n-1),IbT(n-1)による理論強度比Ii1bRT(n-1)(つまり、Ii1bRT(n-1)=Ii1T(n-1)/IbT(n-1))とに基づいて、基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)(つまり、Ri1b(n-1)=Wi1(n-1)/W(n-1))を、次式(6)のようにRi1b(n)に更新する。 Next, as in the X-ray fluorescence spectrometer of the first embodiment, in the content ratio update step, for each contrasting principal component i1, the converted measured intensity ratio Ii1bRTM in the intensity ratio conversion step and the unknown sample theory The theoretical intensity ratio I i1bRT ( n-1) (that is, I i1bRT (n-1)= I i1T ( n-1 )/I bT (n-1)), the content rate is the ratio of the content rate W i1 (n-1) of the contrasting main component i1 to the content rate W b (n-1) of the reference main component b The ratio R i1b (n-1) (that is, R i1b (n-1)=W i1 (n-1)/W b (n-1)) is expressed by the following equation (6) as R i1b (n) update to

i1b(n)=Ri1b(n-1)×(Ii1bRTM/Ii1bRT(n-1)) …(6) R i1b (n)=R i1b (n−1)×(I i1bRTM /I i1bRT (n−1)) (6)

次に、主成分含有率更新ステップにおいて、対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)を、最新の含有率比Ri1b(n)および最新の副成分i2の含有率Wi2(n)に基づいて次式(14)、(8)で求めたWi1(n)およびW(n)に更新する。 Next, in the principal component content rate update step, the content rate W i1 (n−1) of the comparative principal component i1 and the content rate W b (n−1) of the reference principal component b are changed to the latest content rate R i1b ( n) and the latest content W i2 (n) of the subcomponent i2 to W i1 (n) and W b (n) obtained by the following equations (14) and (8).

(n)=(100-ΣWi2(n))/(1+ΣRi1b(n)) …(14)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=(100−ΣW i2 (n))/(1+ΣR i1b (n)) (14)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、第1実施形態の蛍光X線分析装置と同様に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行い、所定の収束条件を満たさない場合には、未収束(No)と判定して手順を未知試料理論強度計算ステップへ戻し、所定の収束条件が満たされた場合には、収束(Yes)と判定して手順を結果出力ステップへ進める。 Next, as in the fluorescent X-ray analysis apparatus of the first embodiment, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition. Then, the procedure returns to the unknown sample theoretical intensity calculation step, and if the predetermined convergence condition is satisfied, it is judged to be converged (Yes), and the procedure advances to the result output step.

そして、第1実施形態の蛍光X線分析装置と同様に、結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 Then, as in the fluorescent X-ray analyzer of the first embodiment, in the result output step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained.

以上のように、第2実施形態の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRTとの相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比Ii1bRMを理論強度スケールに換算して換算測定強度比Ii1bRTMとする強度比換算ステップ、換算測定強度比Ii1bRTMに基づいて基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)をRi1b(n)に更新する含有率比更新ステップ、最新の含有率比Ri1b(n)に基づいて対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)をWi1(n),W(n)に更新する主成分含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the X-ray fluorescence spectrometer of the second embodiment, the quantification means 13 using the fundamental parameter method calculates the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. The intensity ratio that is the correlation between a certain measured intensity ratio Ii1bRM and the theoretical intensity ratio Ii1bRT , which is the ratio of the theoretical intensity Ii1T of the contrasting principal component i1 to the theoretical intensity IbT of the reference principal component b, to create an intensity ratio instrument sensitivity curve. A ratio instrument sensitivity curve creation step, an intensity ratio conversion step of converting the measured intensity ratio I i1bRM to a theoretical intensity scale based on the intensity ratio instrument sensitivity curve to obtain a converted measured intensity ratio I i1bRTM , based on the converted measured intensity ratio I i1bRTM The content ratio R i1b (n-1), which is the ratio of the content W i1 (n-1) of the contrasting main component i1 to the content W b (n-1) of the reference main component b, is set to R i1b (n). A content ratio update step for updating, the content ratio W i1 (n-1) of the comparison principal component i1 and the content ratio W b (n-1) of the reference principal component b based on the latest content ratio R i1b (n) to W i1 (n) and W b (n). By performing these steps, which are not present in the conventional fundamental parameter method algorithm, a sufficiently accurate analysis is made of the content ratio R i1b between the main components.

次に、第3実施形態の蛍光X線分析装置について説明する。第3実施形態の蛍光X線分析装置では、第1、第2実施形態の蛍光X線分析装置とは異なり、後述するファンダメンタルパラメーター法の第2成分定量法が用いられる。対象とする標準試料および未知試料は、主成分のみならず、副成分も含んでいる。第3実施形態の蛍光X線分析装置の構成としては、備える定量手段13の動作のみが、第1、第2実施形態の蛍光X線分析装置と異なるので、その異なる動作について、図3のフローチャートにしたがって説明する。 Next, the fluorescent X-ray spectrometer of the third embodiment will be described. Unlike the fluorescent X-ray analyzers of the first and second embodiments, the X-ray fluorescence analyzer of the third embodiment uses the second component quantification method of the fundamental parameter method, which will be described later. The target standard sample and unknown sample contain not only main components but also subcomponents. The X-ray fluorescence spectrometer of the third embodiment differs from the X-ray fluorescence spectrometers of the first and second embodiments only in the operation of the quantification means 13 provided. will be explained according to

定量手段13は、まず、第2実施形態の蛍光X線分析装置と同様に、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1と、単一または複数の副成分i2とが成分i(b,i1,i2を包含する)として指定され、各成分iの含有率W(W,Wi1,Wi2を包含する)が既知である標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。ここで、成分iについての測定強度IiMは、基準主成分bについての測定強度IbMと、対比主成分i1についての測定強度Ii1Mと、副成分i2についての測定強度Ii2Mを包含する。 The quantification means 13 first compares a single reference principal component b, which is a reference principal component, with the reference principal component b in the standard sample measurement step, similarly to the fluorescent X-ray spectrometer of the second embodiment. The single or multiple contrasting principal components i1 and the single or multiple minor components i2 are designated as components i (including b, i1, i2), and the content W i (W b , W i1 and W i2 ) are known, the intensity of the measurement line, which is the fluorescent X-ray 5 corresponding to the component i, is measured. Here, the measured intensity I iM for component i includes the measured intensity I bM for the reference principal component b, the measured intensity I i1M for the contrast principal component i1, and the measured intensity I i2M for the minor component i2.

次に、第2実施形態の蛍光X線分析装置と同様に、標準試料理論強度計算ステップにおいて、測定線ごとに、既知の含有率Wに基づいて公知の理論強度式により理論強度IiT(IbT,Ii1T,Ii2Tを包含する)を計算する。 Next, in the standard sample theoretical intensity calculation step, the theoretical intensity I iT ( I bT , I i1T , I i2T ).

次に、装置感度曲線作成ステップにおいて、測定線ごとに、前記標準試料測定ステップでの測定強度IiMおよび前記標準試料理論強度計算ステップでの理論強度IiTに基づいて、測定強度IiMと理論強度IiTとの相関である装置感度曲線を作成する。具体的には、装置感度曲線を示す次式(15)の装置感度係数A,B,Cを求める。 Next, in the apparatus sensitivity curve creation step, for each measurement line, the measured intensity I iM and the theoretical A device sensitivity curve is generated that is a function of intensity IiT . Specifically, the device sensitivity coefficients A i , B i , and C i of the following equation (15) representing the device sensitivity curve are obtained.

iT=AiM +BiM+C …(15) IiT = AiIiM2 + BiIiM + Ci (15 )

次に、第1、第2実施形態の蛍光X線分析装置と同様に、強度比装置感度曲線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、前記標準試料測定ステップでの測定強度IiMおよび前記標準試料理論強度計算ステップでの理論強度IiTに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRT(つまり、Ii1bRT=Ii1T/IbT)との相関である強度比装置感度曲線を作成する。具体的には、強度比装置感度曲線を示す次式(1)の強度比装置感度係数Ai1R,Bi1R,Ci1Rを求める。 Next, similarly to the fluorescent X-ray analyzers of the first and second embodiments, in the intensity ratio instrument sensitivity curve creation step, for each measurement line corresponding to the comparison principal component i1, the measured intensity in the standard sample measurement step Based on I iM and the theoretical intensity I iT in the standard sample theoretical intensity calculation step, the measured intensity ratio I i1bRM ( that is, , I i1bRM =I i1M /I bM ) and a theoretical intensity ratio I i1bRT ( that is, I i1bRT = I i1T /I bT ) to generate an intensity ratio instrument sensitivity curve. Specifically, the intensity ratio instrument sensitivity coefficients A i1R , B i1R , and C i1R of the following equation (1) representing the intensity ratio instrument sensitivity curve are obtained.

i1bRT=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(1) I i1bRT =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (1)

次に、第2実施形態の蛍光X線分析装置と同様に、未知試料測定ステップにおいて、前記基準主成分b、前記対比主成分i1および前記副成分i2が成分iとして指定され、各成分iの含有率Wが未知である未知試料1について、前記測定線の強度IiMを測定する。 Next, as in the fluorescent X-ray spectrometer of the second embodiment, in the unknown sample measurement step, the reference principal component b, the comparative principal component i1 and the subcomponent i2 are designated as the component i, and each component i For the unknown sample 1 whose content W i is unknown, the intensity I iM of the measurement line is measured.

次に、強度換算ステップにおいて、測定線ごとに、前記未知試料測定ステップでの測定強度IiMおよび前記装置感度曲線作成ステップでの装置感度曲線(式(15))に基づいて、測定強度IiMを、次式(16)に示すように理論強度スケールに換算して換算測定強度IiTMとする。 Next, in the intensity conversion step, for each measurement line , the measured intensity I iM is converted to the theoretical intensity scale as shown in the following equation (16) to obtain the converted measured intensity IiTM .

iTM=AiM +BiM+C …(16) IiTM = AiIiM2 + BiIiM + Ci (16 )

次に、第1、第2実施形態の蛍光X線分析装置と同様に、強度比換算ステップにおいて、対比主成分i1に対応する測定線ごとに、前記未知試料測定ステップでの測定強度Ii1M,IbMおよび前記強度比装置感度曲線作成ステップでの強度比装置感度曲線(式(1))に基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMを、次式(2)に示すように理論強度スケールに換算して換算測定強度比Ii1bRTMとする。 Next, similarly to the fluorescent X-ray analyzers of the first and second embodiments, in the intensity ratio conversion step, the measured intensities I i1M , I i1M , Based on I bM and the intensity ratio instrument sensitivity curve (formula (1)) in the intensity ratio instrument sensitivity curve creation step, the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM of the reference principal component b A certain measured intensity ratio Ii1bRM is converted to a theoretical intensity scale as shown in the following equation (2) to obtain a converted measured intensity ratio Ii1bRTM .

i1bRTM=Ai1Ri1bRM +Bi1Ri1bRM+Ci1R …(2) I i1bRTM =A i1R I i1bRM 2 +B i1R I i1bRM +C i1R (2)

次に、含有率初期値設定ステップにおいて、各成分i1,b,i2の含有率の初期値Wi1(0),W(0),Wi2(0)を設定する。具体的には、成分iごとに、含有率の初期値W(0)を、次式(17)に示すように設定する。 Next, in the content rate initial value setting step, initial values W i1 (0), W b (0), and W i2 (0) of the content rates of the respective components i1, b, and i2 are set. Specifically, the initial value W i (0) of the content rate is set for each component i as shown in the following equation (17).

(0)=(IiTM/IiTPure)×100 …(17)
iTM:強度換算ステップで求めた換算測定強度
iTPure:成分iのみからなる試料での同成分iの理論強度
W i (0)=(I iTM /I iTPure )×100 (17)
I iTM : Converted measured intensity obtained in the intensity conversion step I iTPure : Theoretical intensity of component i in a sample consisting of component i only

なお、上述の手法に代えて、第1実施形態の蛍光X線分析装置について説明したのと同様に、例えば、複数の標準試料において既知の各成分の含有率について平均値を求めて初期値Wi1(0),W(0),Wi2(0)として設定してもよいし、単純に100(mass%)を成分数で除した値を各成分の含有率の初期値Wi1(0),W(0),Wi2(0)として設定してもよい。その場合の含有率比の初期値Ri1b(0)の設定についても、第1実施形態の蛍光X線分析装置について説明したのと同様である。 Instead of the above-described method, in the same manner as described for the fluorescent X-ray analyzer of the first embodiment, for example, the average content of each known component in a plurality of standard samples is obtained, and the initial value W i1 (0), W b (0), and W i2 (0) may be set, or the initial value W i1 ( 0), W b (0), and W i2 (0). The setting of the initial value R i1b (0) of the content ratio in that case is also the same as described for the fluorescent X-ray spectrometer of the first embodiment.

次に、繰り返し計算に入り、第1、第2実施形態の蛍光X線分析装置と同様に、未知試料理論強度計算ステップにおいて、測定線ごとに、最新の含有率W(n-1)に基づいて公知の理論強度式により理論強度IiT(n-1)を計算する。 Next, in the same way as in the X-ray fluorescence spectrometers of the first and second embodiments, in the unknown sample theoretical intensity calculation step, the latest content W i (n-1) is calculated for each measurement line. Based on this, the theoretical intensity I iT (n-1) is calculated by a known theoretical intensity formula.

次に、第2実施形態の蛍光X線分析装置と同様に、副成分含有率更新ステップにおいて、副成分i2ごとに、前記強度換算ステップでの換算測定強度Ii2TMと、前記未知試料理論強度計算ステップでの理論強度Ii2T(n-1)とに基づいて、含有率Wi2(n-1)を、次式(13)のようにWi2(n)に更新する。 Next, as in the X-ray fluorescence spectrometer of the second embodiment, in the subcomponent content rate update step, for each subcomponent i2, the converted measured intensity I i2TM in the intensity conversion step and the unknown sample theoretical intensity calculation Based on the theoretical intensity I i2T (n-1) at the step, the content W i2 (n-1) is updated to W i2 (n) as in the following equation (13).

i2(n)=Wi2(n-1)×(Ii2TM/Ii2T(n-1)) …(13) W i2 (n)=W i2 (n−1)×(I i2TM /I i2T (n−1)) (13)

次に、推定含有率計算ステップにおいて、対比主成分i1および基準主成分bについて、前記強度換算ステップでの換算測定強度Ii1TM,IbTMと、前記未知試料理論強度計算ステップでの理論強度Ii1T(n-1),IbT(n-1)とに基づいて、最新の含有率Wi1(n-1),W(n-1)から、次式(18)、(19)のように推定含有率Wi1(S),W(S)を計算する。 Next, in the estimated content ratio calculation step, the converted measured intensities I i1TM and I bTM in the intensity conversion step and the theoretical intensities I i1T in the unknown sample theoretical intensity calculation step are calculated for the contrast principal component i1 and the reference principal component b. (n-1), I bT (n-1), from the latest content rates W i1 (n-1), W b (n-1), the following equations (18) and (19) Calculate the estimated contents W i1 (S) and W b (S) in .

i1(S)=Wi1(n-1)×(Ii1TM/Ii1T(n-1)) …(18)
(S)=W(n-1)×(IbTM/IbT(n-1)) …(19)
W i1 (S)=W i1 (n−1)×(I i1TM /I i1T (n−1)) (18)
W b (S)=W b (n−1)×(I bTM /I bT (n−1)) (19)

次に、第1、第2実施形態の蛍光X線分析装置と同様に、含有率比更新ステップにおいて、対比主成分i1ごとに、前記強度比換算ステップでの換算測定強度比Ii1bRTMと、前記未知試料理論強度計算ステップでの理論強度Ii1T(n-1),IbT(n-1)による理論強度比Ii1bRT(n-1)(つまり、Ii1bRT(n-1)=Ii1T(n-1)/IbT(n-1))とに基づいて、基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)(つまり、Ri1b(n-1)=Wi1(n-1)/W(n-1))を、次式(6)のようにRi1b(n)に更新する。 Next, as in the X-ray fluorescence spectrometers of the first and second embodiments, in the content ratio updating step, for each contrasting principal component i1, the converted measured intensity ratio Ii1bRTM in the intensity ratio conversion step and the The theoretical intensity ratio I i1bRT ( n-1) (that is, I i1bRT (n-1)= I i1T ( n-1)/I bT (n-1)), the ratio of the content W i1 (n-1) of the comparative main component i1 to the content W b (n-1) of the reference main component b A certain content ratio R i1b (n-1) (that is, R i1b (n-1)=W i1 (n-1)/W b (n-1)) is expressed as R i1b Update to (n).

i1b(n)=Ri1b(n-1)×(Ii1bRTM/Ii1bRT(n-1)) …(6) R i1b (n)=R i1b (n−1)×(I i1bRTM /I i1bRT (n−1)) (6)

次に、主成分含有率更新ステップにおいて、対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)を、前記推定含有率計算ステップでの対比主成分i1の推定含有率Wi1(S)および基準主成分bの推定含有率W(S)の合計WTotal(S)(つまり、WTotal(S)=ΣWi1(S)+W(S))と、最新の含有率比Ri1b(n)とに基づいて、次式(20)、(8)で求めたWi1(n)およびW(n)に更新する。 Next, in the principal component content rate update step, the content rate W i1 (n-1) of the comparative principal component i1 and the content rate W b (n-1) of the reference principal component b are updated to the estimated content rate calculation step. The total W Total (S) of the estimated content W i1 (S) of the comparison principal component i1 and the estimated content W b (S) of the reference principal component b (that is, W Total (S)=ΣW i1 (S)+W b (S)) and the latest content ratio R i1b (n), W i1 (n) and W b (n) obtained by the following equations (20) and (8) are updated.

(n)=WTotal(S)/(1+ΣRi1b(n)) …(20)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=W Total (S)/(1+ΣR i1b (n)) (20)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、第1、第2実施形態の蛍光X線分析装置と同様に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行い、所定の収束条件を満たさない場合には、未収束(No)と判定して手順を未知試料理論強度計算ステップへ戻し、所定の収束条件が満たされた場合には、収束(Yes)と判定して手順を結果出力ステップへ進める。 Next, similarly to the fluorescent X-ray analyzers of the first and second embodiments, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition. If (No) is determined, the procedure returns to the unknown sample theoretical strength calculation step, and if a predetermined convergence condition is satisfied, convergence (Yes) is determined, and the procedure proceeds to the result output step.

そして、第1、第2実施形態の蛍光X線分析装置と同様に、結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 Then, as in the X-ray fluorescence spectrometers of the first and second embodiments, in the result outputting step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained. do.

以上のように、第3実施形態の蛍光X線分析装置においては、ファンダメンタルパラメーター法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの理論強度IbTに対する対比主成分i1の理論強度Ii1Tの比である理論強度比Ii1bRTとの相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップ、強度比装置感度曲線に基づいて測定強度比Ii1bRMを理論強度スケールに換算して換算測定強度比Ii1bRTMとする強度比換算ステップ、対比主成分i1および基準主成分bについて推定含有率Wi1(S),W(S)を計算する推定含有率計算ステップ、換算測定強度比Ii1bRTMに基づいて基準主成分bの含有率W(n-1)に対する対比主成分i1の含有率Wi1(n-1)の比である含有率比Ri1b(n-1)をRi1b(n)に更新する含有率比更新ステップ、対比主成分i1の推定含有率Wi1(S)および基準主成分bの推定含有率W(S)の合計と最新の含有率比Ri1b(n)とに基づいて対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)をWi1(n),W(n)に更新する主成分含有率更新ステップを実行する。従来のファンダメンタルパラメーター法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the X-ray fluorescence spectrometer of the third embodiment, the quantification means 13 using the fundamental parameter method calculates the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. The intensity ratio that is the correlation between a certain measured intensity ratio Ii1bRM and the theoretical intensity ratio Ii1bRT , which is the ratio of the theoretical intensity Ii1T of the contrasting principal component i1 to the theoretical intensity IbT of the reference principal component b, to create an intensity ratio instrument sensitivity curve. A ratio instrument sensitivity curve creation step, an intensity ratio conversion step of converting the measured intensity ratio Ii1bRM to a theoretical intensity scale based on the intensity ratio instrument sensitivity curve to obtain a converted measured intensity ratio Ii1bRTM , a comparison principal component i1 and a reference principal component b An estimated content rate calculation step for calculating the estimated content rates W i1 (S) and W b (S) for the comparison principal component b with respect to the content rate W b (n−1) of the reference principal component b based on the converted measured intensity ratio I i1bRTM A content ratio update step of updating the content ratio R i1b (n-1), which is the ratio of the content ratio W i1 (n-1) of the component i1, to R i1b (n), and the estimated content W of the main component i1 Based on the sum of i1 (S) and the estimated content W b (S) of the reference principal component b and the latest content ratio R i1b (n), the content W i1 (n−1) of the comparison principal component i1 and A principal component content update step is executed to update the content W b (n−1) of the reference principal component b to W i1 (n) and W b (n). By performing these steps, which are not present in the conventional fundamental parameter method algorithm, a sufficiently accurate analysis is made of the content ratio R i1b between the main components.

第3実施形態の蛍光X線分析装置でのファンダメンタルパラメーター法による定量分析においては、主成分について、式(1)で示したような測定強度比と理論強度比との相関である強度比装置感度曲線のみならず、式(15)で示したような測定強度と理論強度との相関である従来の装置感度曲線も利用される。このような定量手法を第2成分定量法と呼ぶこととする。 In the quantitative analysis by the fundamental parameter method with the X-ray fluorescence spectrometer of the third embodiment, for the principal component, the intensity ratio, which is the correlation between the measured intensity ratio and the theoretical intensity ratio as shown in equation (1), is the instrument sensitivity In addition to curves, conventional instrument sensitivity curves, which are the correlation between measured intensity and theoretical intensity as shown in equation (15), are also utilized. Such a quantification method is called a second component quantification method.

なお、第3実施形態の蛍光X線分析装置においては、定量手段13が、標準試料14および未知試料1について副成分i2が成分iとして1つも指定されない場合にも対応し、その場合には、前記副成分含有率更新ステップをスキップする。 In the fluorescent X-ray spectrometer of the third embodiment, the quantification means 13 also supports the case where no subcomponent i2 is specified as the component i for the standard sample 14 and the unknown sample 1. In that case, Skip the subcomponent content rate update step.

次に、第4実施形態の蛍光X線分析装置について説明する。第4実施形態の蛍光X線分析装置では、第1~第3実施形態の蛍光X線分析装置とは異なり、備える定量手段13において検量線法が用いられる。対象とする標準試料および未知試料は、主成分のみを含んでいる。第4実施形態の蛍光X線分析装置の構成としては、備える定量手段13の動作のみが、第1~第3実施形態の蛍光X線分析装置と異なるので、その異なる動作について、図4のフローチャートにしたがって説明する。 Next, the fluorescent X-ray spectrometer of the fourth embodiment will be described. In the fluorescent X-ray analyzer of the fourth embodiment, unlike the fluorescent X-ray analyzers of the first to third embodiments, a calibration curve method is used in the quantification means 13 provided. The standard and unknown samples of interest contain only the main component. The configuration of the X-ray fluorescence spectrometer of the fourth embodiment differs from the X-ray fluorescence spectrometers of the first to third embodiments only in the operation of the quantification means 13 provided. will be explained according to

定量手段13は、まず、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1とが成分iとして指定され、各成分i(b,i1を包含する)として指定され、各成分iの含有率W(W,Wi1を包含する)が既知であって、全成分iからマトリックス補正に用いられる加補正成分jが指定される標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。 First, in the standard sample measurement step, the quantification means 13 determines a single reference principal component b as a reference principal component and a single or a plurality of contrasting principal components i1 to be contrasted with the reference principal component b. i, is designated as each component i (including b, i1), the content W i (including W b , W i1 ) of each component i is known, and the matrix correction from all components i The intensity of the measurement line, which is the fluorescent X-ray 5 corresponding to the component i, is measured with respect to the standard sample 14 for which the additional correction component j used for the measurement is specified.

ここで、成分iについての測定強度IiMは、基準主成分bについての測定強度IbMと対比主成分i1についての測定強度Ii1Mを包含し、基準主成分b、対比主成分i1は、いずれも含有率を定量しようとする成分i、つまり分析成分iである。そして、分析成分iに対応する測定線の強度に対して、その測定線を吸収または励起して影響を及ぼす成分が加補正成分jであり、その影響を除去するために、分析成分iについてのマトリックス補正に用いられる。基準主成分b、対比主成分i1、分析成分i自身は、いずれも加補正成分jになり得るが、公知の手法により、すべての成分iの中から加補正成分jが選択されて指定される。 Here, the measured intensity IiM for the component i includes the measured intensity IbM for the reference principal component b and the measured intensity Ii1M for the contrast principal component i1. is the component i whose content is to be quantified, that is, the analytical component i. A component that absorbs or excites the measurement line and affects the intensity of the measurement line corresponding to the analysis component i is the additional correction component j. Used for matrix correction. Any of the reference principal component b, the contrasting principal component i1, and the analysis component i itself can be the additional correction component j. .

次に、強度比検量線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、既知の含有率Wおよび前記標準試料測定ステップでの測定強度IiMに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1b(つまり、Ri1b=Wi1/W)との相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する。具体的には、強度比検量線を示す次式(21)の強度比検量線定数di1R,ei1R,fi1R、強度比マトリックス補正係数αjRを求める。なお、検量線法に含まれるセミファンダメンタルパラメーター法(SFP法)においては、測定強度と含有率との相関である従来の検量線についてのマトリックス補正係数を理論強度計算により求めるが、この強度比マトリックス補正係数αjRも理論強度計算により求めることができる。 Next, in the intensity ratio calibration curve creation step, for each measurement line corresponding to the comparison principal component i1, based on the known content W i and the measured intensity I iM in the standard sample measurement step, The measured intensity ratio I i1bRM (that is, I i1bRM =I i1M /I bM ), which is the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM , and the contrast principal component to the content W b of the reference principal component b An intensity ratio calibration curve is created which is a correlation with the content ratio R i1b (that is, R i1b =W i1 /W b ), which is the ratio of the content W i1 of i1, and includes the matrix correction term Σα jR W j . Specifically, the intensity ratio calibration curve constants d i1R , e i1R , f i1R and the intensity ratio matrix correction coefficient α jR of the following equation (21) representing the intensity ratio calibration curve are obtained. In the semi-fundamental parameter method (SFP method) included in the calibration curve method, the matrix correction coefficient for the conventional calibration curve, which is the correlation between the measured intensity and the content rate, is obtained by theoretical intensity calculation, but this intensity ratio matrix The correction coefficient α jR can also be obtained by theoretical strength calculation.

i1b=(di1Ri1bRM +ei1Ri1bRM+fi1R)(1+ΣαjR) …(21) R i1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R )(1+Σα jR W j ) (21)

次に、未知試料測定ステップにおいて、前記基準主成分bおよび前記対比主成分i1が成分iとして指定され、各成分iの含有率Wが未知であって、前記加補正成分jが指定される未知試料1について、前記測定線の強度IiMを測定する。 Next, in the unknown sample measurement step, the reference principal component b and the comparative principal component i1 are designated as the component i, the content W i of each component i is unknown, and the additional correction component j is designated. For the unknown sample 1, the intensity IiM of the measurement line is measured.

次に、未補正含有率比計算ステップにおいて、対比主成分i1ごとに、前記未知試料測定ステップでの測定強度IiMおよび前記強度比検量線作成ステップでの強度比検量線(式(21))に基づいて、マトリックス補正前の未補正含有率比XRi1bを、次式(22)に示すように計算する。 Next, in the uncorrected content ratio calculation step, for each comparative principal component i1, the measured intensity I iM in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step (Equation (21)) , the uncorrected content ratio X Ri1b before matrix correction is calculated as shown in the following equation (22).

Ri1b=(di1Ri1bRM +ei1Ri1bRM+fi1R) …(22) X Ri1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R ) (22)

次に、含有率初期値設定ステップにおいて、次式(23)、(24)に示すように、各成分i1,bについて、前記未補正含有率比計算ステップでの未補正含有率比XRi1bに基づいて、マトリックス補正前の未補正含有率Xi1,Xを計算して含有率の初期値Wi1(0),W(0)として設定する。 Next, in the content ratio initial value setting step, as shown in the following equations (23) and (24), for each component i1, b, the uncorrected content ratio X Ri1b in the uncorrected content ratio calculation step is Based on this, uncorrected content rates X i1 and X b before matrix correction are calculated and set as initial values of content rates W i1 (0) and W b (0).

(0)=X=100/(1+ΣXRi1b) …(23)
i1(0)=Xi1=XRi1b×X …(24)
W b (0)=X b =100/(1+ΣX Ri1b ) (23)
W i1 (0)=X i1 =X Ri1b ×X b (24)

次に、繰り返し計算に入り、含有率比更新ステップにおいて、次式(25)に示すように、対比主成分i1ごとに、前記未補正含有率比計算ステップでの未補正含有率比XRi1bに対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する。ここで、最新の加補正成分jの含有率W(n-1)として、繰り返し計算の1回目においては、含有率初期値設定ステップでの初期値Wi1(0),W(0)が用いられ、繰り返し計算の2回目以降においては、前回の繰り返し計算で更新された含有率Wi1(n-1),W(n-1)が用いられる。 Next, in the repetitive calculation, in the content ratio update step, as shown in the following equation (25), for each comparison principal component i1, the uncorrected content ratio X Ri1b in the uncorrected content ratio calculation step is On the other hand, matrix correction is performed based on the content W j (n−1) of the latest additional correction component j, and the content ratio is updated to R i1b (n). Here, as the content rate W j (n−1) of the latest addition correction component j, the initial values W i1 (0), W b (0) is used, and the content rates W i1 (n-1) and W b (n-1) updated in the previous iterative calculation are used in the second and subsequent iterative calculations.

i1b(n)=XRi1b(1+ΣαjR(n-1)) …(25) R i1b (n)=X Ri1b (1+Σα jR W j (n−1)) (25)

次に、含有率更新ステップにおいて、各成分i1,bの含有率Wi1(n-1),W(n-1)を、前記含有率比更新ステップで更新した含有率比Ri1b(n)に基づいて次式(7)、(8)で求めたWi1(n),W(n)に更新する。 Next, in the content ratio update step, the content ratios W i1 (n−1) and W b (n−1) of the respective components i1 and b are changed to the content ratios R i1b (n ) are updated to W i1 (n) and W b (n) obtained by the following equations (7) and (8).

(n)=100/(1+ΣRi1b(n)) …(7)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=100/(1+ΣR i1b (n)) (7)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、第1~第3実施形態の蛍光X線分析装置と同様に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行う。所定の収束条件を満たさない場合には、未収束(No)と判定して手順を含有率比更新ステップへ戻し、所定の収束条件が満たされた場合には、収束(Yes)と判定して手順を結果出力ステップへ進める。 Next, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition, as in the fluorescent X-ray analyzers of the first to third embodiments. If the predetermined convergence condition is not satisfied, it is determined as unconverged (No) and the procedure returns to the content ratio update step, and if the predetermined convergence condition is satisfied, it is determined as converged (Yes). Advance the procedure to the result output step.

そして、第1~第3実施形態の蛍光X線分析装置と同様に、結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 Then, as in the X-ray fluorescence spectrometers of the first to third embodiments, in the result outputting step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained. do.

以上のように、第4実施形態の蛍光X線分析装置においては、検量線法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1bとの相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比XRi1bを計算する未補正含有率比計算ステップ、未補正含有率比XRi1bに対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する含有率比更新ステップ、更新した含有率比Ri1b(n)に基づいて各成分i1,bの含有率Wi1(n-1),W(n-1)をWi1(n),W(n)に更新する含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the X-ray fluorescence spectrometer of the fourth embodiment, the quantification means 13 using the calibration curve method determines the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. A matrix correction term Σα jR W j is a correlation between a certain measured intensity ratio I i1bRM and a content ratio R i1b that is the ratio of the content ratio W i1 of the contrasting principal component i1 to the content ratio W b of the reference principal component b. An intensity ratio calibration curve creation step of creating an intensity ratio calibration curve including an uncorrected content ratio calculation step of calculating an uncorrected content ratio X Ri1b before matrix correction based on the intensity ratio calibration curve Uncorrected content ratio X A content ratio update step for performing matrix correction on Ri1b based on the content ratio W j (n−1) of the latest additional correction component j, and updating the content ratio to Ri1b (n); Content rate update for updating the content rates W i1 (n-1) and W b (n-1) of the components i1 and b to W i1 (n) and W b (n) based on the ratio R i1b (n) Execute the step. By performing these steps, which were not present in the conventional calibration curve method algorithm, a sufficiently accurate analysis of the content ratio R i1b between the main components is made.

第4実施形態の蛍光X線分析装置での検量線法による定量分析においては、主成分について、式(21)で示したような測定強度比と含有率比との相関である強度比検量線は利用されるが、測定強度と含有率との相関である従来の検量線は利用されない。このような定量手法も第1成分定量法に含める。 In the quantitative analysis by the calibration curve method in the fluorescent X-ray analyzer of the fourth embodiment, for the main component, the intensity ratio calibration curve that is the correlation between the measured intensity ratio and the content ratio as shown in equation (21) is utilized, but the conventional calibration curve, which is a correlation between measured intensity and content, is not utilized. Such a quantitative method is also included in the first component quantitative method.

次に、第5実施形態の蛍光X線分析装置について説明する。第5実施形態の蛍光X線分析装置では、第4実施形態の蛍光X線分析装置と同様に検量線法の第1成分定量法が用いられるが、対象とする標準試料および未知試料が、主成分のみならず、副成分も含んでいる。副成分とは、例えば低含有率成分で、対応する測定線について強度比検量線が作成されない成分である。第5実施形態の蛍光X線分析装置の構成としては、備える定量手段13の動作のみが、第1~第4実施形態の蛍光X線分析装置と異なるので、その異なる動作について、図5のフローチャートにしたがって説明する。 Next, the fluorescent X-ray spectrometer of the fifth embodiment will be described. The X-ray fluorescence spectrometer of the fifth embodiment uses the first component quantification method of the calibration curve method in the same manner as the X-ray fluorescence spectrometer of the fourth embodiment. It contains not only ingredients but also sub-ingredients. A secondary component is, for example, a component with a low content rate and for which an intensity ratio calibration curve is not created for the corresponding measurement line. The configuration of the X-ray fluorescence spectrometer of the fifth embodiment differs from the X-ray fluorescence spectrometers of the first to fourth embodiments only in the operation of the quantification means 13 provided. will be explained according to

定量手段13は、まず、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1と、単一または複数の副成分i2とが成分i(b,i1,i2を包含する)として指定され、各成分iの含有率W(W,Wi1,Wi2を包含する)が既知であって、全成分iからマトリックス補正に用いられる加補正成分jが指定される標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。 First, in the standard sample measurement step, the quantification means 13 includes a single reference principal component b as a reference principal component, a single or a plurality of contrasting principal components i1 to be contrasted with the reference principal component b, and a single One or more subcomponents i2 are designated as component i (including b, i1, i2), and the content W i (including W b , W i1 , W i2 ) of each component i is known Then, the intensity of the measurement line, which is the fluorescent X-ray 5 corresponding to the component i, is measured for the standard sample 14 in which the additional correction component j used for matrix correction is specified from the total component i.

ここで、成分iについての測定強度IiMは、基準主成分bについての測定強度IbMと、対比主成分i1についての測定強度Ii1Mと、副成分i2についての測定強度Ii2Mを包含し、基準主成分b、対比主成分i1、副成分i2は、いずれも含有率を定量しようとする成分i、つまり分析成分iである。そして、分析成分iに対応する測定線の強度に対して、その測定線を吸収または励起して影響を及ぼす成分が加補正成分jであり、その影響を除去するために、分析成分iについてのマトリックス補正に用いられる。基準主成分b、対比主成分i1、副成分i2、分析成分i自身は、いずれも加補正成分jになり得るが、公知の手法により、すべての成分iの中から加補正成分jが選択されて指定される。 where the measured intensity I iM for component i encompasses the measured intensity I bM for the reference principal component b, the measured intensity I i1M for the contrast principal component i1, and the measured intensity I i2M for the minor component i2, The reference principal component b, the comparative principal component i1, and the subcomponent i2 are all the component i whose content rate is to be quantified, that is, the analysis component i. A component that absorbs or excites the measurement line and affects the intensity of the measurement line corresponding to the analysis component i is the additional correction component j. Used for matrix correction. Any of the reference principal component b, the contrasting principal component i1, the subcomponent i2, and the analysis component i itself can be the additional correction component j. specified by

次に、検量線作成ステップにおいて、副成分i2に対応する測定線ごとに、既知の含有率Wおよび前記標準試料測定ステップでの測定強度IiMに基づいて、副成分i2の測定強度Ii2Mと、副成分i2の含有率Wi2との相関であってマトリックス補正項Σαを含む検量線を作成する。具体的には、検量線を示す次式(26)の検量線定数di2,ei2,fi2、マトリックス補正係数αを求める。 Next, in the calibration curve creation step, for each measurement line corresponding to the subcomponent i2, the measured intensity Ii2M of the subcomponent i2 is calculated based on the known content Wi and the measured intensity IiM in the standard sample measurement step. and the content W i2 of the subcomponent i2, and a calibration curve including the matrix correction term Σα j W j is created. Specifically, the calibration curve constants d i2 , e i2 , f i2 and the matrix correction coefficient α j of the following equation (26) representing the calibration curve are obtained.

i2=(di2i2M +ei2i2M+fi2)(1+Σα) …(26) W i2 =(d i2 I i2 M 2 +e i2 I i2 M +f i2 )(1+Σα j W j ) (26)

次に、第4実施形態の蛍光X線分析装置と同様に、強度比検量線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、既知の含有率Wおよび前記標準試料測定ステップでの測定強度IiMに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1b(つまり、Ri1b=Wi1/W)との相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する。具体的には、強度比検量線を示す次式(21)の強度比検量線定数di1R,ei1R,fi1R、強度比マトリックス補正係数αjRを求める。 Next, as in the fluorescent X-ray analyzer of the fourth embodiment, in the intensity ratio calibration curve creation step, for each measurement line corresponding to the contrast principal component i1, the known content W i and the standard sample measurement step Based on the measured intensity I iM of , a measured intensity ratio I i1bRM (i.e., I i1bRM =I i1M /I bM ), which is the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM of the reference principal component b, and , the content ratio R i1b (that is, R i1b =W i1 /W b ), which is the ratio of the content W i1 of the contrasting principal component i1 to the content W b of the reference principal component b, and the matrix correction term Create an intensity ratio calibration curve containing Σα jR W j . Specifically, the intensity ratio calibration curve constants d i1R , e i1R , f i1R and the intensity ratio matrix correction coefficient α jR of the following equation (21) representing the intensity ratio calibration curve are obtained.

i1b=(di1Ri1bRM +ei1Ri1bRM+fi1R)(1+ΣαjR) …(21) R i1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R )(1+Σα jR W j ) (21)

次に、未知試料測定ステップにおいて、前記基準主成分b、前記対比主成分i1および前記副成分i2が成分iとして指定され、各成分iの含有率Wが未知であって、前記加補正成分jが指定される未知試料1について、前記測定線の強度IiMを測定する。 Next, in the unknown sample measurement step, the reference principal component b, the comparative principal component i1 and the subcomponent i2 are designated as component i, the content W i of each component i is unknown, and the additional correction component For the unknown sample 1 for which j is specified, the intensity IiM of the measurement line is measured.

次に、副成分含有率初期値設定ステップにおいて、次式(27)に示すように、副成分i2ごとに、前記未知試料測定ステップでの測定強度Ii2Mおよび前記検量線作成ステップでの検量線(式(26))に基づいて、マトリックス補正前の未補正含有率Xi2を計算して含有率の初期値Wi2(0)として設定する。 Next, in the secondary component content rate initial value setting step, as shown in the following equation (27), for each secondary component i2, the measured intensity I i2M in the unknown sample measurement step and the calibration curve in the calibration curve creation step Based on (Equation (26)), the uncorrected content rate X i2 before matrix correction is calculated and set as the initial value W i2 (0) of the content rate.

i2(0)=Xi2=di2i2M +ei2i2M+fi2 …(27) W i2 (0)=X i2 =d i2 I i2M 2 +e i2 I i2M +f i2 (27)

次に、第4実施形態の蛍光X線分析装置と同様に、未補正含有率比計算ステップにおいて、対比主成分i1ごとに、前記未知試料測定ステップでの測定強度IiMおよび前記強度比検量線作成ステップでの強度比検量線(式(21))に基づいて、マトリックス補正前の未補正含有率比XRi1bを、次式(22)に示すように計算する。 Next, as in the X-ray fluorescence spectrometer of the fourth embodiment, in the uncorrected content ratio calculation step, for each comparative principal component i1, the measured intensity I iM in the unknown sample measurement step and the intensity ratio calibration curve Based on the intensity ratio calibration curve (equation (21)) in the creation step, the uncorrected content ratio X Ri1b before matrix correction is calculated as shown in the following equation (22).

Ri1b=(di1Ri1bRM +ei1Ri1bRM+fi1R) …(22) X Ri1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R ) (22)

次に、主成分含有率初期値設定ステップにおいて、次式(28)、(24)に示すように、対比主成分i1および基準主成分bについて、前記未補正含有率比計算ステップでの未補正含有率比XRi1bと、前記副成分含有率初期値設定ステップでの副成分の未補正含有率Xi2とに基づいて、マトリックス補正前の未補正含有率Xi1,Xを計算して含有率の初期値Wi1(0),W(0)として設定する。 Next, in the main component content ratio initial value setting step, as shown in the following equations (28) and (24), the comparison principal component i1 and the reference principal component b are uncorrected in the uncorrected content ratio calculation step. Uncorrected content rates X i1 and X b before matrix correction are calculated and contained based on the content rate ratio X Ri1b and the uncorrected content rates X i2 of the subcomponents in the subcomponent content rate initial value setting step Set as initial values W i1 (0) and W b (0) of the rates.

(0)=X=(100-ΣXi2)/(1+ΣXRi1b) …(28)
i1(0)=Xi1=XRi1b×X …(24)
W b (0)=X b =(100−ΣX i2 )/(1+ΣX Ri1b ) (28)
W i1 (0)=X i1 =X Ri1b ×X b (24)

次に、繰り返し計算に入り、副成分含有率更新ステップにおいて、次式(29)に示すように、副成分i2ごとに、前記副成分含有率初期値設定ステップでの未補正含有率Xi2に対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率をWi2(n)に更新する。ここで、最新の加補正成分jの含有率W(n-1)として、繰り返し計算の1回目においては、副成分含有率初期値設定ステップでの初期値Wi2(0)、主成分含有率初期値設定ステップでの初期値Wi1(0),W(0)が用いられ、繰り返し計算の2回目以降においては、前回の繰り返し計算で更新された含有率Wi2(n-1),Wi1(n-1),W(n-1)が用いられる。 Then, in the subcomponent content rate update step, the uncorrected content rate Xi2 in the subcomponent content rate initial value setting step is changed for each subcomponent i2 as shown in the following equation (29). On the other hand, matrix correction is performed based on the content W j (n−1) of the latest additional correction component j, and the content is updated to W i2 (n). Here, as the content rate W j (n−1) of the latest additional correction component j, the initial value W i2 (0) in the secondary component content rate initial value setting step, the main component content rate The initial values W i1 (0) and W b (0) in the rate initial value setting step are used, and after the second iterative calculation, the content rate W i2 (n-1) updated in the previous iterative calculation , W i1 (n-1), W b (n-1) are used.

i2(n)=Xi2(1+Σα(n-1)) …(29) W i2 (n)=X i2 (1+Σα j W j (n−1)) (29)

次に、含有率比更新ステップにおいて、次式(25)に示すように、対比主成分i1ごとに、前記未補正含有率比計算ステップでの未補正含有率比XRi1bに対し、前記副成分含有率更新ステップで用いた最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する。 Next, in the content ratio updating step, as shown in the following equation (25), for each comparison principal component i1, the uncorrected content ratio X Ri1b in the uncorrected content ratio calculation step is converted into the subcomponent Matrix correction is performed based on the latest content rate W j (n-1) of the additional correction component j used in the content rate update step, and the content rate ratio is updated to R i1b (n).

i1b(n)=XRi1b(1+ΣαjR(n-1)) …(25) R i1b (n)=X Ri1b (1+Σα jR W j (n−1)) (25)

次に、主成分含有率更新ステップにおいて、対比主成分i1および基準主成分bの含有率Wi1(n-1),W(n-1)を、前記含有率比更新ステップで更新した含有率比Ri1b(n)および前記副成分含有率更新ステップで更新した副成分の含有率Wi2(n)に基づいて次式(14)、(8)で求めたWi1(n),W(n)に更新する。 Next, in the main component content ratio updating step, the content ratios W i1 (n−1) and W b (n−1) of the comparison principal component i1 and the reference principal component b are updated in the content ratio updating step. W i1 (n), W obtained by the following equations (14) and (8) based on the ratio R i1b (n) and the content rate W i2 (n) of the subcomponent updated in the subcomponent content rate updating step Update to b (n).

(n)=(100-ΣWi2(n))/(1+ΣRi1b(n)) …(14)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=(100−ΣW i2 (n))/(1+ΣR i1b (n)) (14)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、第1~第4実施形態の蛍光X線分析装置と同様に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行う。所定の収束条件を満たさない場合には、未収束(No)と判定して手順を副成分含有率更新ステップへ戻し、所定の収束条件が満たされた場合には、収束(Yes)と判定して手順を結果出力ステップへ進める。 Next, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition, as in the fluorescent X-ray analyzers of the first to fourth embodiments. If the predetermined convergence condition is not satisfied, it is determined as unconverged (No) and the procedure returns to the subcomponent content rate update step, and if the predetermined convergence condition is satisfied, it is determined as converged (Yes). to advance the procedure to the result output step.

そして、第1~第4実施形態の蛍光X線分析装置と同様に、結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 Then, as in the X-ray fluorescence spectrometers of the first to fourth embodiments, in the result output step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained. do.

以上のように、第5実施形態の蛍光X線分析装置においては、検量線法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1bとの相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比XRi1bを計算する未補正含有率比計算ステップ、未補正含有率比XRi1bに対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する含有率比更新ステップ、更新した含有率比Ri1b(n)に基づいて対比主成分i1および基準主成分bの含有率Wi1(n-1),W(n-1)をWi1(n),W(n)に更新する主成分含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the fluorescent X-ray analyzer of the fifth embodiment, the quantification means 13 using the calibration curve method determines the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. A matrix correction term Σα jR W j is a correlation between a certain measured intensity ratio I i1bRM and a content ratio R i1b that is the ratio of the content ratio W i1 of the contrasting principal component i1 to the content ratio W b of the reference principal component b. An intensity ratio calibration curve creation step of creating an intensity ratio calibration curve including an uncorrected content ratio calculation step of calculating an uncorrected content ratio X Ri1b before matrix correction based on the intensity ratio calibration curve Uncorrected content ratio X A content ratio update step for performing matrix correction on Ri1b based on the content ratio W j (n−1) of the latest additional correction component j, and updating the content ratio to Ri1b (n); Content ratios W i1 (n-1) and W b (n-1) of the contrast principal component i1 and the reference principal component b are updated to W i1 (n) and W b (n) based on the ratio R i1b (n) Execute the principal component content rate update step. By performing these steps, which were not present in the conventional calibration curve method algorithm, a sufficiently accurate analysis of the content ratio R i1b between the main components is made.

次に、第6実施形態の蛍光X線分析装置について説明する。第6実施形態の蛍光X線分析装置では、第1~第5実施形態の蛍光X線分析装置とは異なり、後述する検量線法の第2成分定量法が用いられる。対象とする標準試料および未知試料は、主成分のみならず、副成分も含んでいる。第6実施形態の蛍光X線分析装置の構成としては、備える定量手段13の動作のみが、第1~第5実施形態の蛍光X線分析装置と異なるので、その異なる動作について、図6のフローチャートにしたがって説明する。 Next, the fluorescent X-ray spectrometer of the sixth embodiment will be described. Unlike the fluorescent X-ray analyzers of the first to fifth embodiments, the X-ray fluorescence spectrometer of the sixth embodiment uses the second component quantification method of the calibration curve method, which will be described later. The target standard sample and unknown sample contain not only main components but also subcomponents. As for the configuration of the X-ray fluorescence analysis apparatus of the sixth embodiment, only the operation of the quantification means 13 provided differs from that of the X-ray fluorescence analysis apparatus of the first to fifth embodiments. will be explained according to

定量手段13は、まず、第5実施形態の蛍光X線分析装置と同様に、標準試料測定ステップにおいて、基準となる主成分である単一の基準主成分bと、その基準主成分bに対比される単一または複数の対比主成分i1と、単一または複数の副成分i2とが成分i(b,i1,i2を包含する)として指定され、各成分iの含有率W(W,Wi1,Wi2を包含する)が既知であって、全成分iからマトリックス補正に用いられる加補正成分jが指定される標準試料14について、成分iに対応する蛍光X線5である測定線の強度を測定する。 The quantification means 13 first compares a single reference principal component b, which is a reference principal component, with the reference principal component b in the standard sample measurement step, similarly to the fluorescent X-ray spectrometer of the fifth embodiment. The single or multiple contrasting principal components i1 and the single or multiple minor components i2 are designated as components i (including b, i1, i2), and the content W i (W b , W i1 , and W i2 ) are known, and an additional correction component j used for matrix correction is designated from all components i. Measure the intensity of the line.

次に、検量線作成ステップにおいて、測定線ごとに、既知の含有率Wおよび前記標準試料測定ステップでの測定強度IiMに基づいて、測定強度IiMと含有率Wとの相関であってマトリックス補正項Σαを含む検量線を作成する。具体的には、検量線を示す次式(30)の検量線定数d,e,f、マトリックス補正係数αを求める。 Next, in the calibration curve creation step, the correlation between the measured intensity I iM and the content rate W i is calculated based on the known content rate W i and the measured intensity I iM in the standard sample measurement step for each measurement line. to prepare a calibration curve including the matrix correction term Σα j W j . Specifically, the calibration curve constants d i , e i , f i and the matrix correction coefficient α j of the following equation (30) representing the calibration curve are obtained.

=(diM +eiM+f)(1+Σα) …(30) W i =(d i I iM 2 +e i I iM +f i )(1+Σα j W j ) (30)

次に、第4、第5実施形態の蛍光X線分析装置と同様に、強度比検量線作成ステップにおいて、対比主成分i1に対応する測定線ごとに、既知の含有率Wおよび前記標準試料測定ステップでの測定強度IiMに基づいて、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRM(つまり、Ii1bRM=Ii1M/IbM)と、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1b(つまり、Ri1b=Wi1/W)との相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する。具体的には、強度比検量線を示す次式(21)の強度比検量線定数di1R,ei1R,fi1R、強度比マトリックス補正係数αjRを求める。 Next, as in the fluorescent X-ray analyzers of the fourth and fifth embodiments, in the intensity ratio calibration curve creation step, the known content W i and the standard sample Based on the measured intensity I iM in the measurement step, a measured intensity ratio I i1bRM , which is the ratio of the measured intensity I i1M of the contrast principal component i1 to the measured intensity I bM of the reference principal component b (i.e., I i1bRM =I i1M /I bM ) and the content ratio R i1b (that is, R i1b =W i1 /W b ), which is the ratio of the content W i1 of the contrasting principal component i1 to the content W b of the reference principal component b, An intensity ratio calibration curve is generated that includes the matrix correction term Σα jR W j . Specifically, the intensity ratio calibration curve constants d i1R , e i1R , f i1R and the intensity ratio matrix correction coefficient α jR of the following equation (21) representing the intensity ratio calibration curve are obtained.

i1b=(di1Ri1bRM +ei1Ri1bRM+fi1R)(1+ΣαjR) …(21) R i1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R )(1+Σα jR W j ) (21)

次に、第5実施形態の蛍光X線分析装置と同様に、未知試料測定ステップにおいて、前記基準主成分b、前記対比主成分i1および前記副成分i2が成分iとして指定され、各成分iの含有率Wが未知であって、前記加補正成分jが指定される未知試料1について、前記測定線の強度IiMを測定する。 Next, as in the fluorescent X-ray analyzer of the fifth embodiment, in the unknown sample measurement step, the reference principal component b, the comparative principal component i1 and the subcomponent i2 are designated as the component i, and each component i The intensity IiM of the measurement line is measured for the unknown sample 1 whose content W i is unknown and for which the additional correction component j is specified.

次に、含有率初期値設定ステップにおいて、次式(31)に示すように、各成分iについて、前記未知試料測定ステップでの測定強度IiMおよび前記検量線作成ステップでの検量線(式(30))に基づいて、マトリックス補正前の未補正含有率Xを計算して含有率の初期値W(0)として設定する。 Next, in the content rate initial value setting step, as shown in the following equation (31), for each component i, the measured intensity I iM in the unknown sample measurement step and the calibration curve in the calibration curve creation step (equation ( 30)), the uncorrected content rate X i before matrix correction is calculated and set as the initial value W i (0) of the content rate.

(0)=X=diM +eiM+f …(31) W i (0)=X i =d i I iM 2 +e iI iM +f i (31)

次に、第4、第5実施形態の蛍光X線分析装置と同様に、未補正含有率比計算ステップにおいて、対比主成分i1ごとに、前記未知試料測定ステップでの測定強度IiMおよび前記強度比検量線作成ステップでの強度比検量線(式(21))に基づいて、マトリックス補正前の未補正含有率比XRi1bを、次式(22)に示すように計算する。 Next, similarly to the fluorescent X-ray analyzers of the fourth and fifth embodiments, in the uncorrected content ratio calculation step, for each contrasting principal component i1, the measured intensity I iM in the unknown sample measurement step and the intensity Based on the intensity ratio calibration curve (equation (21)) in the specific calibration curve creation step, the uncorrected content ratio X Ri1b before matrix correction is calculated as shown in the following equation (22).

Ri1b=(di1Ri1bRM +ei1Ri1bRM+fi1R) …(22) X Ri1b =(d i1R I i1bRM 2 +e i1R I i1bRM +f i1R ) (22)

次に、繰り返し計算に入り、副成分含有率更新ステップにおいて、次式(29)に示すように、副成分i2ごとに、前記含有率初期値設定ステップでの未補正含有率Xi2に対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率をWi2(n)に更新する。ここで、最新の加補正成分jの含有率W(n-1)として、繰り返し計算の1回目においては、含有率初期値設定ステップでの初期値Wi2(0),Wi1(0),W(0)が用いられ、繰り返し計算の2回目以降においては、前回の繰り返し計算で更新された含有率Wi2(n-1),Wi1(n-1),W(n-1)が用いられる。 Next, in the subcomponent content rate update step, for each subcomponent i2, as shown in the following equation (29), for the uncorrected content rate Xi2 in the content rate initial value setting step, Matrix correction is performed based on the content W j (n−1) of the latest additional correction component j, and the content is updated to W i2 (n). Here, as the content rate W j (n-1) of the latest addition correction component j, the initial values W i2 (0), W i1 (0) in the content rate initial value setting step are , W b (0) are used, and the content rates W i2 (n-1), W i1 (n-1), W b (n- 1) is used.

i2(n)=Xi2(1+Σα(n-1)) …(29) W i2 (n)=X i2 (1+Σα j W j (n−1)) (29)

次に、推定含有率計算ステップにおいて、次式(32)、(33)に示すように、対比主成分i1および基準主成分bについて、前記含有率初期値設定ステップでの未補正含有率Xi1,Xに対し、前記副成分含有率更新ステップで用いた最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、推定含有率Wi1(S),W(S)を計算する Next, in the estimated content ratio calculation step, as shown in the following equations (32) and (33), the uncorrected content ratio X i1 , X b are subjected to matrix correction based on the latest content W j (n−1) of the additional correction component j used in the secondary component content rate update step, and the estimated content rates W i1 (S), W Calculate b (S)

i1(S)=Xi1(1+Σα(n-1)) …(32)
(S)=X(1+Σα(n-1)) …(33)
W i1 (S)=X i1 (1+Σα j W j (n−1)) (32)
W b (S)=X b (1+Σα j W j (n−1)) (33)

次に、第5実施形態の蛍光X線分析装置と同様に、含有率比更新ステップにおいて、次式(25)に示すように、対比主成分i1ごとに、前記未補正含有率比計算ステップでの未補正含有率比XRi1bに対し、前記副成分含有率更新ステップで用いた最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する。 Next, as in the X-ray fluorescence spectrometer of the fifth embodiment, in the content ratio update step, as shown in the following equation (25), for each contrasting principal component i1, in the uncorrected content ratio calculation step Matrix correction is performed on the uncorrected content ratio X Ri1b based on the latest content ratio W j (n−1) of the additional corrected component j used in the secondary component content update step, and the content ratio is set to R Update to i1b (n).

i1b(n)=XRi1b(1+ΣαjR(n-1)) …(25) R i1b (n)=X Ri1b (1+Σα jR W j (n−1)) (25)

次に、主成分含有率更新ステップにおいて、対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)を、前記推定含有率計算ステップでの対比主成分i1の推定含有率Wi1(S)および基準主成分bの推定含有率W(S)の合計WTotal(S)(つまり、WTotal(S)=ΣWi1(S)+W(S))と、前記含有率比更新ステップで更新した含有率比Ri1b(n)とに基づいて、次式(20)、(8)で求めたWi1(n)およびW(n)に更新する。 Next, in the principal component content rate update step, the content rate W i1 (n-1) of the comparative principal component i1 and the content rate W b (n-1) of the reference principal component b are updated to the estimated content rate calculation step. The total W Total (S) of the estimated content W i1 (S) of the comparison principal component i1 and the estimated content W b (S) of the reference principal component b (that is, W Total (S)=ΣW i1 (S)+W b (S)) and the content ratio R i1b (n) updated in the content ratio update step, W i1 (n) and W b (n) obtained by the following equations (20) and (8) ).

(n)=WTotal(S)/(1+ΣRi1b(n)) …(20)
i1(n)=Ri1b(n)×W(n) …(8)
W b (n)=W Total (S)/(1+ΣR i1b (n)) (20)
W i1 (n)=R i1b (n)×W b (n) (8)

次に、第1~第5実施形態の蛍光X線分析装置と同様に、収束判定ステップにおいて、所定の収束条件に基づいて収束判定を行う。所定の収束条件を満たさない場合には、未収束(No)と判定して手順を副成分含有率更新ステップへ戻し、所定の収束条件が満たされた場合には、収束(Yes)と判定して手順を結果出力ステップへ進める。 Next, in the convergence determination step, convergence determination is performed based on a predetermined convergence condition, as in the fluorescent X-ray analyzers of the first to fifth embodiments. If the predetermined convergence condition is not satisfied, it is determined as unconverged (No) and the procedure returns to the subcomponent content rate update step, and if the predetermined convergence condition is satisfied, it is determined as converged (Yes). to advance the procedure to the result output step.

そして、第1~第5実施形態の蛍光X線分析装置と同様に、結果出力ステップでは、求めるべき未知試料1中の成分iの含有率Wとして最新の含有率W(n)を出力する。 Then, as in the X-ray fluorescence spectrometers of the first to fifth embodiments, in the result outputting step, the latest content W i (n) is output as the content W i of the component i in the unknown sample 1 to be obtained. do.

以上のように、第6実施形態の蛍光X線分析装置においては、検量線法を用いる定量手段13が、基準主成分bの測定強度IbMに対する対比主成分i1の測定強度Ii1Mの比である測定強度比Ii1bRMと、基準主成分bの含有率Wに対する対比主成分i1の含有率Wi1の比である含有率比Ri1bとの相関であってマトリックス補正項ΣαjRを含む強度比検量線を作成する強度比検量線作成ステップ、強度比検量線に基づいてマトリックス補正前の未補正含有率比XRi1bを計算する未補正含有率比計算ステップ、対比主成分i1および基準主成分bの未補正含有率Xi1,Xに対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、推定含有率Wi1(S),W(S)を計算する推定含有率計算ステップ、未補正含有率比XRi1bに対し、最新の加補正成分jの含有率W(n-1)に基づいてマトリックス補正を行い、含有率比をRi1b(n)に更新する含有率比更新ステップ、対比主成分i1の推定含有率Wi1(S)および基準主成分bの推定含有率W(S)の合計と最新の含有率比Ri1b(n)とに基づいて対比主成分i1の含有率Wi1(n-1)および基準主成分bの含有率W(n-1)をWi1(n),W(n)に更新する主成分含有率更新ステップを実行する。従来の検量線法のアルゴリズムにはなかったこれらのステップを実行することにより、主成分同士の含有率の比Ri1bについて十分に精確な分析がなされる。 As described above, in the fluorescent X-ray analyzer of the sixth embodiment, the quantification means 13 using the calibration curve method determines the ratio of the measured intensity Ii1M of the contrast principal component i1 to the measured intensity IbM of the reference principal component b. A matrix correction term Σα jR W j is a correlation between a certain measured intensity ratio I i1bRM and a content ratio R i1b that is the ratio of the content ratio W i1 of the contrasting principal component i1 to the content ratio W b of the reference principal component b. An intensity ratio calibration curve creation step of creating an intensity ratio calibration curve including an uncorrected content ratio calculation step of calculating an uncorrected content ratio X Ri1b before matrix correction based on the intensity ratio calibration curve, a comparison principal component i1 and a reference The uncorrected content rates X i1 and X b of the main component b are subjected to matrix correction based on the latest content rate W j (n−1) of the additional correction component j, and the estimated content rates W i1 (S) and W An estimated content rate calculation step for calculating b (S), the uncorrected content rate X Ri1b is subjected to matrix correction based on the content rate W j (n-1) of the latest addition correction component j, and the content rate ratio to R i1b (n), the sum of the estimated content W i1 (S) of the contrast principal component i1 and the estimated content W b (S) of the reference principal component b and the latest content ratio Based on R i1b (n), the content W i1 (n-1) of the comparison principal component i1 and the content W b (n-1) of the reference principal component b are calculated as W i1 (n), W b (n) Execute the principal component content update step to update to . By performing these steps, which were not present in the conventional calibration curve method algorithm, a sufficiently accurate analysis of the content ratio R i1b between the main components is made.

第6実施形態の蛍光X線分析装置での検量線法による定量分析においては、主成分について、式(21)で示したような測定強度比と含有率比との相関である強度比検量線のみならず、式(30)で示したような測定強度と含有率との相関である従来の検量線も利用される。このような定量手法も第2成分定量法に含める。 In the quantitative analysis by the calibration curve method in the fluorescent X-ray analyzer of the sixth embodiment, the intensity ratio calibration curve that is the correlation between the measured intensity ratio and the content ratio as shown in equation (21) for the main component In addition, a conventional calibration curve, which is a correlation between measured intensity and content as shown in equation (30), is also used. Such a quantitative method is also included in the second component quantitative method.

なお、第6実施形態の蛍光X線分析装置においては、定量手段13が、標準試料14および未知試料1について副成分i2が成分iとして1つも指定されない場合にも対応し、その場合には、前記副成分含有率更新ステップをスキップする。このとき、繰り返し計算は、推定含有率計算ステップから始まるが、推定含有率計算ステップおよび含有率比更新ステップ中の「前記副成分含有率更新ステップで用いた最新の加補正成分jの含有率W(n-1)」としては、副成分含有率更新ステップの説明で述べたように、繰り返し計算の1回目においては、含有率初期値設定ステップでの初期値Wi2(0),Wi1(0),W(0)が用いられ、繰り返し計算の2回目以降においては、前回の繰り返し計算で更新された含有率Wi2(n-1),Wi1(n-1),W(n-1)が用いられる。 In the fluorescent X-ray spectrometer of the sixth embodiment, the quantification means 13 also supports the case where no subcomponent i2 is specified as the component i for the standard sample 14 and the unknown sample 1. In that case, Skip the subcomponent content rate update step. At this time, the iterative calculation starts from the estimated content ratio calculation step. j (n-1)", as described in the description of the secondary component content rate update step, in the first iteration, the initial values W i2 (0), W i1 (0), W b (0) are used, and in the second and subsequent iterative calculations, the content rates W i2 (n-1), W i1 (n-1), W b updated in the previous iterative calculation (n-1) is used.

以上の各実施形態の蛍光X線分析装置において、前記定量手段13が、前記標準試料測定ステップでの測定強度および前記未知試料測定ステップでの測定強度IiMとして、試料1,14の分析面の高さと測定強度との相関に基づいて、試料1,14の分析面の高さの変動が測定強度に及ぼす影響を除去するように補正した測定強度を用いてもよい。試料1,14の形態によっては、このように高さ補正を行うことにより、主成分同士の含有率の比Ri1bについていっそう精確な分析がなされる。 In the X-ray fluorescence spectrometer of each of the above embodiments, the quantification means 13 uses the measured intensity in the standard sample measurement step and the measured intensity IiM in the unknown sample measurement step as Based on the correlation between the height and the measured intensity, the measured intensity may be corrected to remove the influence of the height variation of the analysis surface of the sample 1, 14 on the measured intensity. Depending on the form of samples 1 and 14, more accurate analysis of the content ratio Ri1b between the main components can be made by performing the height correction in this way.

なお、以上の各実施形態の蛍光X線分析装置において、必要に応じて、公知の手法により、例えば収束判定ステップに進む前に、全成分iの含有率W(n)の合計が100(mass%)になるように規格化する。 In the X-ray fluorescence spectrometer of each of the above-described embodiments, if necessary, the sum of the content ratios W i (n) of all components i is set to 100 ( mass%).

1 未知試料
3 1次X線
5 蛍光X線
13 定量手段
14 標準試料
1 unknown sample 3 primary X-ray 5 fluorescent X-ray 13 quantitative means 14 standard sample

Claims (9)

試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、
対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップと、
前記基準主成分および前記対比主成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、
各成分の含有率の初期値を設定する含有率初期値設定ステップと、
測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、
対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、
最新の含有率比に基づいて、各成分の含有率を更新する含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a fundamental parameter method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A single reference principal component, which is a reference principal component, and a comparison principal component to be compared with the reference principal component are specified as components, and for a standard sample in which the content of each component is known, a standard sample measurement step of measuring the intensity of a measurement ray that is a fluorescent X-ray;
A standard sample theoretical strength calculation step for calculating the theoretical strength based on a known content rate for each measurement line;
Based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, the measured intensity of the comparison principal component with respect to the measured intensity of the reference principal component is calculated for each measurement line corresponding to the comparison principal component. an intensity ratio instrument sensitivity curve creation step of creating an intensity ratio instrument sensitivity curve that is a correlation between the measured intensity ratio, which is the ratio, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component;
an unknown sample measuring step of measuring the intensity of the measurement line for an unknown sample in which the reference principal component and the contrasting principal component are designated as components and the content of each component is unknown;
For each measurement line corresponding to the contrast principal component, the contrast principal component with respect to the measured intensity of the reference principal component is calculated based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step. An intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of the measured intensities, into a theoretical intensity scale and making it a converted measured intensity ratio;
a content rate initial value setting step of setting the initial value of the content rate of each component;
An unknown sample theoretical strength calculation step of calculating the theoretical strength based on the latest content rate for each measurement line;
For each comparative principal component, based on the converted measured intensity ratio in the intensity ratio conversion step and the theoretical intensity ratio by the theoretical intensity in the unknown sample theoretical intensity calculation step, the ratio of the comparative principal component to the content rate of the reference principal component is calculated. a content rate update step of updating the content rate ratio, which is the ratio of the content rates;
a content update step of updating the content of each component based on the latest content ratio;
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the unknown sample theoretical intensity calculation step in the case of judgment of non-convergence, and advances the procedure to the result output step in the case of judgment of convergence.
試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、
副成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、副成分の測定強度と、副成分の理論強度との相関である装置感度曲線を作成する装置感度曲線作成ステップと、
対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップと、
前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
副成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記装置感度曲線作成ステップでの装置感度曲線に基づいて、副成分の測定強度を理論強度スケールに換算して換算測定強度とする強度換算ステップと、
対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、
各成分の含有率の初期値を設定する含有率初期値設定ステップと、
測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、
副成分ごとに、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、含有率を更新する副成分含有率更新ステップと、
対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、
最新の含有率比および最新の副成分の含有率に基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a fundamental parameter method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A standard sample in which a single reference principal component that is a reference principal component, a comparison principal component to be compared with the reference principal component, and a subcomponent are designated as components, and the content of each component is known, a standard sample measurement step of measuring the intensity of a measurement ray, which is a fluorescent X-ray corresponding to the component;
A standard sample theoretical strength calculation step for calculating the theoretical strength based on a known content rate for each measurement line;
Correlation between the measured intensity of the minor component and the theoretical intensity of the minor component based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step for each measurement line corresponding to the minor component a device sensitivity curve creating step of creating a device sensitivity curve that is
Based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, the measured intensity of the comparison principal component with respect to the measured intensity of the reference principal component is calculated for each measurement line corresponding to the comparison principal component. an intensity ratio instrument sensitivity curve creation step of creating an intensity ratio instrument sensitivity curve that is a correlation between the measured intensity ratio, which is the ratio, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component;
an unknown sample measuring step of measuring the intensity of the measurement line for an unknown sample in which the reference principal component, the contrasting principal component, and the subcomponent are specified as components and the content ratio of each component is unknown;
For each measurement line corresponding to the subcomponent, the measured intensity of the subcomponent is converted to a theoretical intensity scale and measured based on the measured intensity in the unknown sample measurement step and the device sensitivity curve in the device sensitivity curve creation step. an intensity conversion step for intensity;
For each measurement line corresponding to the contrast principal component, the contrast principal component with respect to the measured intensity of the reference principal component is calculated based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step. An intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of the measured intensities, into a theoretical intensity scale and making it a converted measured intensity ratio;
a content rate initial value setting step of setting the initial value of the content rate of each component;
An unknown sample theoretical strength calculation step of calculating the theoretical strength based on the latest content rate for each measurement line;
a subcomponent content update step of updating the content of each subcomponent based on the converted measured intensity in the intensity conversion step and the theoretical intensity in the unknown sample theoretical intensity calculation step;
For each comparative principal component, based on the converted measured intensity ratio in the intensity ratio conversion step and the theoretical intensity ratio by the theoretical intensity in the unknown sample theoretical intensity calculation step, the ratio of the comparative principal component to the content rate of the reference principal component is calculated. a content rate update step of updating the content rate ratio, which is the ratio of the content rates;
a principal component content rate update step of updating the content rate of the contrasting principal component and the content rate of the reference principal component based on the latest content rate ratio and the latest content rate of the subcomponent;
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the unknown sample theoretical intensity calculation step in the case of judgment of non-convergence, and advances the procedure to the result output step in the case of judgment of convergence.
試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいてファンダメンタルパラメーター法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知である標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
測定線ごとに、既知の含有率に基づいて理論強度を計算する標準試料理論強度計算ステップと、
測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、測定強度と理論強度との相関である装置感度曲線を作成する装置感度曲線作成ステップと、
対比主成分に対応する測定線ごとに、前記標準試料測定ステップでの測定強度および前記標準試料理論強度計算ステップでの理論強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の理論強度に対する対比主成分の理論強度の比である理論強度比との相関である強度比装置感度曲線を作成する強度比装置感度曲線作成ステップと、
前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知である未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
測定線ごとに、前記未知試料測定ステップでの測定強度および前記装置感度曲線作成ステップでの装置感度曲線に基づいて、測定強度を理論強度スケールに換算して換算測定強度とする強度換算ステップと、
対比主成分に対応する測定線ごとに、前記未知試料測定ステップでの測定強度および前記強度比装置感度曲線作成ステップでの強度比装置感度曲線に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比を、理論強度スケールに換算して換算測定強度比とする強度比換算ステップと、
各成分の含有率の初期値を設定する含有率初期値設定ステップと、
測定線ごとに、最新の含有率に基づいて理論強度を計算する未知試料理論強度計算ステップと、
副成分ごとに、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、含有率を更新する副成分含有率更新ステップと、
対比主成分および基準主成分について、前記強度換算ステップでの換算測定強度と、前記未知試料理論強度計算ステップでの理論強度とに基づいて、推定含有率を計算する推定含有率計算ステップと、
対比主成分ごとに、前記強度比換算ステップでの換算測定強度比と、前記未知試料理論強度計算ステップでの理論強度による理論強度比とに基づいて、基準主成分の含有率に対する対比主成分の含有率の比である含有率比を更新する含有率比更新ステップと、
前記推定含有率計算ステップでの対比主成分の推定含有率および基準主成分の推定含有率の合計と、最新の含有率比とに基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記未知試料理論強度計算ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a fundamental parameter method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A standard sample in which a single reference principal component that is a reference principal component, a comparison principal component to be compared with the reference principal component, and a subcomponent are designated as components, and the content of each component is known, a standard sample measurement step of measuring the intensity of a measurement ray, which is a fluorescent X-ray corresponding to the component;
A standard sample theoretical strength calculation step for calculating the theoretical strength based on a known content rate for each measurement line;
For each measurement line, based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, create a device sensitivity curve that is a correlation between the measured intensity and the theoretical intensity. a step;
Based on the measured intensity in the standard sample measurement step and the theoretical intensity in the standard sample theoretical intensity calculation step, the measured intensity of the comparison principal component with respect to the measured intensity of the reference principal component is calculated for each measurement line corresponding to the comparison principal component. an intensity ratio instrument sensitivity curve creation step of creating an intensity ratio instrument sensitivity curve that is a correlation between the measured intensity ratio, which is the ratio, and the theoretical intensity ratio, which is the ratio of the theoretical intensity of the contrasting principal component to the theoretical intensity of the reference principal component;
an unknown sample measuring step of measuring the intensity of the measurement line for an unknown sample in which the reference principal component, the contrasting principal component, and the subcomponent are specified as components and the content ratio of each component is unknown;
an intensity conversion step of converting the measured intensity to a theoretical intensity scale and obtaining a converted measured intensity for each measurement line based on the measured intensity in the unknown sample measurement step and the device sensitivity curve in the device sensitivity curve creation step;
For each measurement line corresponding to the contrast principal component, the contrast principal component with respect to the measured intensity of the reference principal component is calculated based on the measured intensity in the unknown sample measurement step and the intensity ratio instrument sensitivity curve in the intensity ratio instrument sensitivity curve creation step. An intensity ratio conversion step of converting the measured intensity ratio, which is the ratio of the measured intensities, into a theoretical intensity scale and making it a converted measured intensity ratio;
a content rate initial value setting step of setting the initial value of the content rate of each component;
An unknown sample theoretical strength calculation step of calculating the theoretical strength based on the latest content rate for each measurement line;
a subcomponent content update step of updating the content of each subcomponent based on the converted measured intensity in the intensity conversion step and the theoretical intensity in the unknown sample theoretical intensity calculation step;
an estimated content rate calculation step of calculating an estimated content rate for the comparison principal component and the reference principal component based on the converted measured intensity in the intensity conversion step and the theoretical intensity in the unknown sample theoretical intensity calculation step;
For each comparative principal component, based on the converted measured intensity ratio in the intensity ratio conversion step and the theoretical intensity ratio by the theoretical intensity in the unknown sample theoretical intensity calculation step, the ratio of the comparative principal component to the content rate of the reference principal component is calculated. a content rate update step of updating the content rate ratio, which is the ratio of the content rates;
Based on the total of the estimated content rate of the comparison principal component and the estimated content rate of the reference principal component in the estimated content rate calculation step and the latest content rate ratio, the content rate of the comparison principal component and the content rate of the reference principal component a principal component content update step for updating
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the unknown sample theoretical intensity calculation step in the case of judgment of non-convergence, and advances the procedure to the result output step in the case of judgment of convergence.
請求項3に記載の蛍光X線分析装置において、
前記定量手段が、標準試料および未知試料について副成分が成分として指定されない場合には、前記副成分含有率更新ステップをスキップする蛍光X線分析装置。
In the fluorescent X-ray spectrometer according to claim 3,
An X-ray fluorescence spectrometer in which the quantification means skips the subcomponent content rate updating step when subcomponents are not designated as components for standard samples and unknown samples.
試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップと、
前記基準主成分および前記対比主成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップと、
各成分について、前記未補正含有率比計算ステップでの未補正含有率比に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する含有率初期値設定ステップと、
対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、
前記含有率比更新ステップで更新した含有率比に基づいて、各成分の含有率を更新する含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記含有率比更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A single reference principal component, which is a reference principal component, and a comparison principal component to be contrasted with the reference principal component are specified as components, and the content of each component is known, and matrix correction is performed from all components. a standard sample measurement step of measuring the intensity of a measurement line, which is a fluorescent X-ray, corresponding to a standard sample for which the additional correction component to be used is specified;
For each measurement line corresponding to the contrast principal component, based on the known content and the measured intensity in the standard sample measurement step, a measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and , an intensity ratio calibration curve creation step of creating an intensity ratio calibration curve that is a correlation between the content ratio, which is the ratio of the content ratio of the contrasting principal component to the content ratio of the reference principal component, and includes a matrix correction term;
An unknown sample measuring step of measuring the intensity of the measurement line for an unknown sample in which the reference principal component and the contrasting principal component are specified as components, the content of each component is unknown, and the additional correction component is specified. When,
An uncorrected content ratio for calculating an uncorrected content ratio before matrix correction, based on the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step for each comparison principal component a calculation step;
a content initial value setting step of calculating an uncorrected content rate before matrix correction for each component based on the uncorrected content rate in the uncorrected content rate calculation step and setting it as an initial value of the content rate; ,
Content ratio update for updating the content ratio by performing matrix correction on the uncorrected content ratio in the uncorrected content ratio calculation step for each comparison principal component based on the content ratio of the latest addition correction component a step;
a content ratio update step of updating the content ratio of each component based on the content ratio updated in the content ratio update step;
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the content rate ratio updating step when it is determined as unconverged, and advances the procedure to the result output step when it is determined as converged.
試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
副成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、副成分の測定強度と、副成分の含有率との相関であってマトリックス補正項を含む検量線を作成する検量線作成ステップと、
対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップと、
前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
副成分ごとに、前記未知試料測定ステップでの測定強度および前記検量線作成ステップでの検量線に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する副成分含有率初期値設定ステップと、
対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップと、
対比主成分および基準主成分について、前記未補正含有率比計算ステップでの未補正含有率比と、前記副成分含有率初期値設定ステップでの副成分の未補正含有率とに基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する主成分含有率初期値設定ステップと、
副成分ごとに、前記副成分含有率初期値設定ステップでの未補正含有率に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率を更新する副成分含有率更新ステップと、
対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、
前記含有率比更新ステップで更新した含有率比および前記副成分含有率更新ステップで更新した副成分の含有率に基づいて、対比主成分および基準主成分の含有率を更新する主成分含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記副成分含有率更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A single reference principal component that is a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents are specified as components, and the content of each component is known, and all components A standard sample measurement step of measuring the intensity of a measurement line that is a fluorescent X-ray corresponding to a standard sample for which an additional correction component used for matrix correction is specified from
For each measurement line corresponding to the subcomponent, based on the known content and the measured intensity in the standard sample measurement step, a matrix correction term, which is the correlation between the measured intensity of the subcomponent and the content of the subcomponent, is calculated. a calibration curve creating step of creating a calibration curve containing
For each measurement line corresponding to the contrast principal component, based on the known content and the measured intensity in the standard sample measurement step, a measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and , an intensity ratio calibration curve creation step of creating an intensity ratio calibration curve that is a correlation between the content ratio, which is the ratio of the content ratio of the contrasting principal component to the content ratio of the reference principal component, and includes a matrix correction term;
The intensity of the measurement line is measured for an unknown sample in which the reference principal component, the comparative principal component, and the subcomponent are designated as components, the content of each component is unknown, and the additional correction component is designated. an unknown sample measurement step;
For each subcomponent, the uncorrected content rate before matrix correction is calculated based on the measured intensity in the unknown sample measurement step and the calibration curve in the calibration curve creation step, and is set as the initial value of the content rate. a content rate initial value setting step;
An uncorrected content ratio for calculating an uncorrected content ratio before matrix correction, based on the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step for each comparison principal component a calculation step;
For the comparison principal component and the reference principal component, the matrix a main component content rate initial value setting step of calculating the uncorrected content rate before correction and setting it as the initial value of the content rate;
A subcomponent content rate update step for performing matrix correction on the uncorrected content rate in the subcomponent content rate initial value setting step for each subcomponent based on the content rate of the latest additional correction component to update the content rate. When,
For each comparison principal component, matrix correction is performed on the uncorrected content ratio in the uncorrected content ratio calculation step based on the content ratio of the latest addition correction component used in the subcomponent content ratio update step, a content ratio update step of updating the content ratio;
updating the content ratio of the comparison principal component and the reference principal component based on the content ratio updated in the content ratio updating step and the content ratio of the subcomponent updated in the subcomponent content ratio updating step; a step;
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the subcomponent content rate update step when the determination is of non-convergence, and advances the procedure to the result output step when the determination is of convergence.
試料に1次X線を照射し、発生する蛍光X線の測定強度に基づいて検量線法を用いる定量手段により前記試料中の成分の含有率を求める蛍光X線分析装置であって、
前記定量手段が、
基準となる主成分である単一の基準主成分と、その基準主成分に対比される対比主成分と、副成分とが成分として指定され、各成分の含有率が既知であって、全成分からマトリックス補正に用いられる加補正成分が指定される標準試料について、成分に対応する蛍光X線である測定線の強度を測定する標準試料測定ステップと、
測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、測定強度と含有率との相関であってマトリックス補正項を含む検量線を作成する検量線作成ステップと、
対比主成分に対応する測定線ごとに、既知の含有率および前記標準試料測定ステップでの測定強度に基づいて、基準主成分の測定強度に対する対比主成分の測定強度の比である測定強度比と、基準主成分の含有率に対する対比主成分の含有率の比である含有率比との相関であってマトリックス補正項を含む強度比検量線を作成する強度比検量線作成ステップと、
前記基準主成分、前記対比主成分および前記副成分が成分として指定され、各成分の含有率が未知であって、前記加補正成分が指定される未知試料について、前記測定線の強度を測定する未知試料測定ステップと、
各成分について、前記未知試料測定ステップでの測定強度および前記検量線作成ステップでの検量線に基づいて、マトリックス補正前の未補正含有率を計算して含有率の初期値として設定する含有率初期値設定ステップと、
対比主成分ごとに、前記未知試料測定ステップでの測定強度および前記強度比検量線作成ステップでの強度比検量線に基づいて、マトリックス補正前の未補正含有率比を計算する未補正含有率比計算ステップと、
副成分ごとに、前記含有率初期値設定ステップでの未補正含有率に対し、最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率を更新する副成分含有率更新ステップと、
対比主成分および基準主成分について、前記含有率初期値設定ステップでの未補正含有率に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、推定含有率を計算する推定含有率計算ステップと、
対比主成分ごとに、前記未補正含有率比計算ステップでの未補正含有率比に対し、前記副成分含有率更新ステップで用いた最新の加補正成分の含有率に基づいてマトリックス補正を行い、含有率比を更新する含有率比更新ステップと、
前記推定含有率計算ステップでの対比主成分の推定含有率および基準主成分の推定含有率の合計と、前記含有率比更新ステップで更新した含有率比とに基づいて、対比主成分の含有率および基準主成分の含有率を更新する主成分含有率更新ステップと、
所定の収束条件に基づいて収束判定を行う収束判定ステップと、
求めるべき未知試料中の成分の含有率として最新の含有率を出力する結果出力ステップとを実行し、
前記収束判定ステップにおいて、未収束の判定である場合には手順を前記副成分含有率更新ステップへ戻し、収束の判定である場合には手順を前記結果出力ステップへ進める蛍光X線分析装置。
A fluorescent X-ray analyzer for irradiating a sample with primary X-rays and determining the content of components in the sample by a quantitative means using a calibration curve method based on the measured intensity of the generated fluorescent X-rays,
The quantification means is
A single reference principal component that is a reference principal component, a comparison principal component to be compared with the reference principal component, and subcomponents are specified as components, and the content of each component is known, and all components A standard sample measurement step of measuring the intensity of a measurement line that is a fluorescent X-ray corresponding to a standard sample for which an additional correction component used for matrix correction is specified from
a calibration curve creation step of creating a calibration curve that is a correlation between the measured intensity and the content rate and includes a matrix correction term for each measurement line based on the known content rate and the measured intensity in the standard sample measurement step;
For each measurement line corresponding to the contrast principal component, based on the known content and the measured intensity in the standard sample measurement step, a measured intensity ratio, which is the ratio of the measured intensity of the contrast principal component to the measured intensity of the reference principal component, and , an intensity ratio calibration curve creation step of creating an intensity ratio calibration curve that is a correlation between the content ratio, which is the ratio of the content ratio of the contrasting principal component to the content ratio of the reference principal component, and includes a matrix correction term;
The intensity of the measurement line is measured for an unknown sample in which the reference principal component, the comparative principal component, and the subcomponent are designated as components, the content of each component is unknown, and the additional correction component is designated. an unknown sample measurement step;
For each component, based on the measured intensity in the unknown sample measurement step and the calibration curve in the calibration curve creation step, the uncorrected content rate before matrix correction is calculated and set as the initial value of the content rate Initial content rate a value setting step;
An uncorrected content ratio for calculating an uncorrected content ratio before matrix correction, based on the measured intensity in the unknown sample measurement step and the intensity ratio calibration curve in the intensity ratio calibration curve creation step for each comparison principal component a calculation step;
a subcomponent content rate update step of performing matrix correction on the uncorrected content rate in the content rate initial value setting step for each subcomponent based on the content rate of the latest additional correction component to update the content rate;
For the comparison principal component and the reference principal component, the uncorrected content rate in the content rate initial value setting step is subjected to matrix correction based on the content rate of the latest addition correction component used in the secondary component content rate update step. , an estimated content calculation step of calculating an estimated content;
For each comparison principal component, matrix correction is performed on the uncorrected content ratio in the uncorrected content ratio calculation step based on the content ratio of the latest addition correction component used in the subcomponent content ratio update step, a content ratio update step of updating the content ratio;
Based on the sum of the estimated content rate of the contrasting principal component and the estimated content rate of the reference principal component in the estimated content rate calculation step and the content rate ratio updated in the content rate ratio updating step, the content rate of the contrasting principal component and a principal component content update step for updating the content of the reference principal component;
a convergence determination step for determining convergence based on a predetermined convergence condition;
and a result output step of outputting the latest content rate as the content rate of the component in the unknown sample to be obtained,
In the convergence determination step, the fluorescent X-ray spectrometer returns the procedure to the subcomponent content rate updating step when it is determined as unconverged, and advances the procedure to the result output step when it is determined as converged.
請求項7に記載の蛍光X線分析装置において、
前記定量手段が、標準試料および未知試料について副成分が成分として指定されない場合には、前記副成分含有率更新ステップをスキップする蛍光X線分析装置。
In the fluorescent X-ray spectrometer according to claim 7,
An X-ray fluorescence spectrometer in which the quantification means skips the subcomponent content rate updating step when subcomponents are not designated as components for standard samples and unknown samples.
請求項1から8のいずれか一項に記載の蛍光X線分析装置において、
前記定量手段が、前記標準試料測定ステップでの測定強度および前記未知試料測定ステップでの測定強度として、試料の分析面の高さと測定強度との相関に基づいて、試料の分析面の高さの変動が測定強度に及ぼす影響を除去するように補正した測定強度を用いる蛍光X線分析装置。
In the fluorescent X-ray spectrometer according to any one of claims 1 to 8,
The quantifying means determines the height of the analytical surface of the sample based on the correlation between the height of the analytical surface of the sample and the measured intensity as the measured intensity in the standard sample measuring step and the measured intensity in the unknown sample measuring step. An X-ray fluorescence spectrometer that uses measured intensities corrected to remove the effect of fluctuations on measured intensities.
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