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Basic Aspects of X-Ray Absorption In Quantitative Diffraction Analysis of Powder Mixtures*

Published online by Cambridge University Press:  10 January 2013

Leroy Alexander  and
Harold P. Klug
Leroy Alexander
Affiliation:
Mellon Institute, Pittsburgh 13, Pa., U.S.A.
Harold P. Klug
Affiliation:
Mellon Institute, Pittsburgh 13, Pa., U.S.A.
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Abstract

The mathematical relationships are developed which are pertinent to the quantitative analysis of powder mixtures for the case of diffraction from the surface of a flat powder specimen. These formulas relate the diffracted intensity to the absorptive properties of the sample. Three important cases are treated: (1) Mixture of n components; absorbing powder of the unknown equal to that of the matrix; concentration proportional to intensity. Direct analysis is permitted. (2) Binary mixture; absorbing powder of the unknown not equal to that of the diluent; concentration not proportional to intensity. Direct analysis is possible by means of calibration curves prepared from synthetic mixtures. (3) Mixture of n components; absorbing power of the unknown not equal to that of the matrix; general case. Analysis is accomplished by the addition of an internal standard. Concentration is proportional to the ratio of the intensity of a selected reflection from the unknown to the intensity of a reflection from the internal standard.

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Type
Research Article
Information
Powder Diffraction , Volume 4 , Issue 2 , June 1989 , pp. 66 - 69
Copyright
Copyright © Cambridge University Press 1989

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