| 无标样X射线定量分析最小二乘法方程的稳定解 |
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| 引用本文： | 郭常霖,黄月鸿. 无标样X射线定量分析最小二乘法方程的稳定解[J]. 物理学报, 1993, 42(7): 1106-1111. DOI: 10.7498/aps.42.1106 |
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| 作者姓名： | 郭常霖 黄月鸿 |
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| 作者单位： | 中国科学院上海硅酸盐研究所,上海200050 |
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| 摘 要： | 无标样法是X射线定量分析的重要方法。无标样定量联立方程中经常出现的病态方程使定量结果出现很大的误差。最小二乘法方程组在某些组合情况下也会出现严重的病态方程。本文提出可以获得可靠的稳定解的无标样X射线定量最小二乘法。指出不同样品数及组合条件下获得稳定解的计算方法:直接最小二乘法、算术平均法、稳定性因子判别法。关键词：
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| 关 键 词： | X射线衍射 定量分析 最小二乘法 |
| 收稿时间： | 1992-09-25 |
STABLE SOLUTIONS OF THE LEAST SQUARE SIMULTANEOUS EQUATIONS IN QUANTITATIVE X-RAY PHASE ANALYSIS WITHOUT STANDARDS |
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| GUO CHANG-LIN and HUANG YUE-HONG. STABLE SOLUTIONS OF THE LEAST SQUARE SIMULTANEOUS EQUATIONS IN QUANTITATIVE X-RAY PHASE ANALYSIS WITHOUT STANDARDS[J]. Acta Physica Sinica, 1993, 42(7): 1106-1111. DOI: 10.7498/aps.42.1106 |
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| Authors: | GUO CHANG-LIN and HUANG YUE-HONG |
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| Abstract: | The X-ray phase analysis without standards is an important quantitative method. The problem of the abnormal state equation lead to the results of composition with large error. The least square simultaneous equations in some cases of combination also have the problem of the abnormal state equation. The least square simultaneous equations method in the quantitative X-ray phase analysis without standards has been proposed, from which the stable solutions can be found. The calculating methods of the stable solutions in different sample number and combination conditions are indicated. |
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