JP2792175B2 - Analysis method by X-ray diffraction - Google Patents
Analysis method by X-ray diffractionInfo
- Publication number
- JP2792175B2 JP2792175B2 JP2021422A JP2142290A JP2792175B2 JP 2792175 B2 JP2792175 B2 JP 2792175B2 JP 2021422 A JP2021422 A JP 2021422A JP 2142290 A JP2142290 A JP 2142290A JP 2792175 B2 JP2792175 B2 JP 2792175B2
- Authority
- JP
- Japan
- Prior art keywords
- diffraction
- ray diffraction
- function
- data
- sample
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
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- Analysing Materials By The Use Of Radiation (AREA)
Description
【発明の詳細な説明】 (産業上の利用分野) 本発明はX線回折法を用いた分析、特に有機化合物の
ように、X線回折像に多数のピークが現れる物質の分析
に適する分析方法に関する。The present invention relates to an analysis method using an X-ray diffraction method, and particularly to an analysis method suitable for analysis of a substance having a large number of peaks in an X-ray diffraction image such as an organic compound. About.
(従来の技術) X線回折を用いた定性分析は原理的には、多数の物質
についての、回折線の位置と強度のデータを集めた標準
資料が公刊されているので、未知試料についてX線回折
像を解析してピークの位置,強度を求め、上記標準資料
と照合すると云う方法によっている。(Prior art) In principle, qualitative analysis using X-ray diffraction is based on the publication of standard data that collects data on the position and intensity of diffraction lines for many substances. The diffraction image is analyzed to determine the position and intensity of the peak and to collate it with the above standard data.
この場合、有機化合物のように、回折線が多数(一物
質平均40本以上)現れるものでは多種の候補物質のデー
タについて一つ一つのピークを照合して行くと云うこと
は大へんな作業であり、個々のピークで照合をして行く
と、試料のわずかな配向性の影響を受けてピーク位置が
ずれるので、照合に誤りを生じ、また照合ミスも生じ易
くて定性結果の信頼性が低くなる。しかし従来このよう
な場合でも、特別の照合検索の方法はなかった。In this case, it is a very difficult task to check each peak for data of many kinds of candidate substances in the case of a large number of diffraction lines (40 or more on average per substance) such as organic compounds. Yes, when matching is performed on individual peaks, the peak position shifts due to the influence of the slight orientation of the sample, so errors in matching are likely to occur, and matching errors are also likely to occur, and the reliability of qualitative results is low. Become. However, there has been no special collation search method even in such a case.
(発明が解決しようとする課題) 本発明は回折線が多数現れる試料のX線回折像を標準
資料と照合する作業の能率化と信頼性の向上を目的とす
る。(Problems to be Solved by the Invention) An object of the present invention is to improve the efficiency and reliability of the operation of collating an X-ray diffraction image of a sample in which many diffraction lines appear with standard data.
(課題を解決するための手段) 固定すべき未知試料のX線回折像の各回折線ピークの
頂点を連ねる関数表示を作成し、標準資料において照合
すべき候補物質の標準データに基づき、各回折線頂点を
連ねる関数表示を作成し、未知試料の上記関数表示と、
照合すべき候補物質の上記関数表示とを照合して関数全
体として両者の差が最も小さい物質を検索するようにし
た。(Means for Solving the Problems) A function display that connects the vertices of each diffraction line peak of the X-ray diffraction image of the unknown sample to be fixed is created, and each diffraction is performed based on the standard data of the candidate substance to be compared in the standard data. Create a function display that links the line vertices, and display the function display of the unknown sample,
The function display of the candidate substance to be compared is collated with the above function display, and a substance having the smallest difference between the two as the whole function is searched.
(作用) 第1図Aは試料の実測X線回折像で、同BはAの回折
像を解析して回折線の位置即ち回折角2θと回折線強度
を求めて表示したもので、同図のカーブBはこの回折線
の頂点を連ねる関数である。第1図Cは照合しようとす
る候補物質の標準資料のデータで、同図のカーブCはこ
のデータの各回折線の頂点を結ぶ関数である。第1図D
は関数BとCとの差で、本発明はこの差が全体として最
も小さいような物質を検索するものである。或る物質の
実測X線回折像とそれの標準資料におけるデータとの間
には、実測時の温度とか試料のわずかな内部歪等の影響
で対応ピーク間でもその位置とか強度に若干の差がある
ので、第1図B,Cの棒グラフ状のパターンをかさねても
完全な一致は見られないのが普通であり、似たような回
折線の配置を示す物質も多いので、回折線を一本ずつ対
比していては全体としてどの程度良く一致しているのか
が明らかでない。本発明は回折線の頂点を連ねる曲線同
士を比較するので、試料と照合物質とが同じ場合個々の
回折線の位置とか強さのわずかな相達は全体として相殺
され、両曲線間の差は最小となる。この比較操作は個々
の回折線の位置毎ではなく、変数2θの方向に連続的
(コンピュータを用いる場合は回折線の位置とは無関係
な適当に細かい間隔毎)に両曲線の差を求めて行けばよ
いので、操作は大へん単純化され、自動演算には最も適
した方法であり、かつ回折像の全体的な一致の良さが一
度に判明するので、能率的であり、回折像の全体的な一
致で同定を行うので、同定の確度も高くなる。(Action) FIG. 1A is a measured X-ray diffraction image of a sample, and FIG. 1B is obtained by analyzing the diffraction image of A and obtaining and displaying the position of the diffraction line, that is, the diffraction angle 2θ and the diffraction line intensity. Is a function connecting the vertices of the diffraction line. FIG. 1C is data of standard data of a candidate substance to be collated, and curve C in FIG. 1C is a function connecting the vertices of each diffraction line of this data. FIG. 1D
Is the difference between the functions B and C. The present invention searches for a substance in which this difference is the smallest as a whole. Between the measured X-ray diffraction image of a substance and the data in the standard data, there is a slight difference in the position and intensity between the corresponding peaks due to the temperature at the time of the measurement and the slight internal strain of the sample. Therefore, even if the bar-shaped patterns shown in FIGS. 1B and 1C are overlapped, perfect coincidence is usually not found. Many substances show similar arrangement of diffraction lines. It is not clear how well they match as a whole when compared book by book. Since the present invention compares the curves connecting the vertices of the diffraction lines, if the sample and the reference substance are the same, the slightest difference in the position or intensity of the individual diffraction lines is offset as a whole, and the difference between the two curves is Will be minimal. In this comparison operation, the difference between the two curves is obtained not continuously for each diffraction line position but continuously in the direction of the variable 2θ (when using a computer, at an appropriately small interval irrelevant to the diffraction line position). The operation is greatly simplified, it is the most suitable method for automatic calculation, and the efficiency of the overall diffraction pattern Since the identification is performed with a good match, the accuracy of the identification is also increased.
(実施例) 第2図に本発明方法を実行する作業のフローチャート
を示す。ステップ(イ)で試料のX線回折像の実測を行
い第1図Aのようなデータを得る。次にこの実測データ
よりバックグラウンドを引算し、照射X線のKα1,Kα
2両線に基くピークを分離し、ピーク中心を検出する等
のデータ処理を行って第1図Bの回折線パターンを求め
(ロ)、この回折線の頂点を結ぶ連続関数第1図Bのカ
ーブBを作る(ハ)。この関数の作り方は、個々の回折
ピークを回折線の位置2θ=xを中心とし、その高さh
を頂点とするガウス分布関数で表わし、この関数の総和
として一つの連続曲線を作るものである。こゝで利用す
る関数はガウス分布関数である必然性はなくて、スプラ
イン関数のような他の適当な関数でもよい。次に種々な
物質の回折像データを集積した標準資料データベースよ
り、試料に対して予想されるいくつかの候補物質を選ん
で、その回折像のデータを取出し(ニ)、それら各候補
物質について、(ハ)のステップと同様にして回折線頂
点を連ねる連続関数を作成(ホ)する。次に(ハ)のス
テップで求まった関数第1図Bの曲線関数B(x)と、
(ホ)のステップで求まった第1図C(x)の曲線関
数)との差の2乗の積分I を算出する(へ)。積分範囲は回折像の存在する範囲で
ある。各候補物質について(ヘ)の動作を行い、求めら
れた積分Iのうち最も小さい値を与える候補物質を試料
物質と同定(ト)して動作を終わる。上記(ヘ)の動作
は云うまでもなく、試料の関数と候補物質の関数との一
致度を最小自乗法で求めているのである。(Embodiment) FIG. 2 shows a flowchart of an operation for executing the method of the present invention. In step (a), an X-ray diffraction image of the sample is actually measured to obtain data as shown in FIG. 1A. Next, the background is subtracted from the measured data, and Kα1, Kα
The peaks based on the two lines are separated and data processing such as detection of the center of the peak is performed to obtain the diffraction line pattern of FIG. 1B (b), and a continuous function connecting the vertices of this diffraction line is obtained. Make curve B (c). The method of creating this function is as follows. Each diffraction peak is centered on the diffraction line position 2θ = x, and its height h
Is represented by a Gaussian distribution function having the vertex as a vertex, and one continuous curve is created as the sum of the functions. The function used here need not be a Gaussian distribution function, but may be any other suitable function such as a spline function. Next, several candidate substances expected for the sample are selected from the standard data base that accumulates the diffraction image data of various substances, and the data of the diffraction images are extracted (d). In the same manner as in the step (c), a continuous function connecting the diffraction line vertices is created (e). Next, the function obtained in step (c), the curve function B (x) in FIG. 1B,
(E) the squared integral of the difference I from the curve function of FIG. Is calculated (to). The integration range is a range where the diffraction image exists. The operation (f) is performed for each candidate substance, the candidate substance giving the smallest value of the obtained integral I is identified (g) as the sample substance, and the operation is completed. Needless to say, the above operation (f) determines the degree of coincidence between the function of the sample and the function of the candidate substance by the least square method.
なお上述(ハ),(ホ)の各ステップにおいて回折線
頂点を連ねる連続曲線を作る際、回折線の強度は相対強
度を用いるので、各回折像で一番強いピークの強度を1
として他の回折線強度を決めるようにする。また候補物
質としては或るグループに属する物質を全部取上げ、上
述積分Iの値の小さいものから50件位を順に並べてプリ
ントアウトし、他の種々なデータを参照することによ
り、最終的な同定作業を終るのである。When making a continuous curve connecting the diffraction line vertices in each of the steps (c) and (e), the relative intensity is used as the intensity of the diffraction line.
To determine other diffraction line intensities. Also, as a candidate substance, all substances belonging to a certain group are collected, and the 50 substances are arranged and printed out in order from the one with the smaller value of the integral I, and the final identification work is performed by referring to various other data. It ends.
(発明の効果) 本発明はX線回折線の比較が定量的に行われて主観の
入る余地が全くなく、回折像を全体的に比較するので、
個々の回折線の位置とか強度のずれの影響が少く、回折
線が多数存在する場合、個々の回折線毎に照合するのに
比し著るしく能率的で、定性を高速に行うことができる
から、同定候補として多数の物質を扱うことが可能とな
り、同定の確度が著るしく高くなる。(Effect of the Invention) In the present invention, since the comparison of X-ray diffraction lines is performed quantitatively and there is no room for subjectivity at all, and the diffraction images are compared as a whole,
The influence of the position of each diffraction line or the deviation of the intensity is small, and when there are many diffraction lines, it is remarkably efficient and qualitative at high speed as compared with collation for each individual diffraction line. Therefore, it becomes possible to handle a large number of substances as identification candidates, and the accuracy of identification becomes extremely high.
第1図は本発明の概要を説明する図、第2図は本発明方
法を実行する操作の手順を示すフローチャートである。FIG. 1 is a diagram for explaining the outline of the present invention, and FIG. 2 is a flowchart showing the procedure of an operation for executing the method of the present invention.
Claims (1)
点を連ねる関数表示を作成し、標準資料によって同定候
補物質の各回折線の頂点を連ねる関数表示を作成し、両
関数表示の差が全体的に最も小さくなるような候補物質
を検索することを特徴とするX線回折による分析方法。1. A function display that connects the peaks of each diffraction line of an actually measured X-ray diffraction image of a sample is prepared, and a function display that connects the peaks of each diffraction line of the candidate substance for identification is prepared based on standard data. An analysis method by X-ray diffraction, which searches for a candidate substance having the smallest difference as a whole.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2021422A JP2792175B2 (en) | 1990-01-30 | 1990-01-30 | Analysis method by X-ray diffraction |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2021422A JP2792175B2 (en) | 1990-01-30 | 1990-01-30 | Analysis method by X-ray diffraction |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH03225265A JPH03225265A (en) | 1991-10-04 |
| JP2792175B2 true JP2792175B2 (en) | 1998-08-27 |
Family
ID=12054563
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2021422A Expired - Lifetime JP2792175B2 (en) | 1990-01-30 | 1990-01-30 | Analysis method by X-ray diffraction |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP2792175B2 (en) |
-
1990
- 1990-01-30 JP JP2021422A patent/JP2792175B2/en not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| JPH03225265A (en) | 1991-10-04 |
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