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An X-ray analysis of stacking disorder in kaolinite by fourth moment

Published online by Cambridge University Press:  09 July 2018

A. K. De  and
S. Bhattacherjee
A. K. De
Affiliation:
Department of Physics, Indian Institute of Technology, Kharagpur, W.B., India721 302
S. Bhattacherjee
Affiliation:
Department of Physics, Indian Institute of Technology, Kharagpur, W.B., India721 302
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Extract

Mathematically, it is well established that besides the Fourier coefficients, the natural characteristics of any distribution are its moments. The use of the second moment, called variance, as a measure of line broadening has already gained wide popularity because of its several merits relative to other empirically devised parameters. In recent decades, the fourth moment has been recognized as an important parameter; its theoretical significance has been discussed by Mitra (1964), who developed the moment range function for the estimation of crystallite size and distortion in cold-worked metal. However, owing to the requirements of high degree of accuracy of intensity measurement coupled with cumbersome calculations, this parameter did not find much general application. Modern diffractometers and sophisticated computers have helped ease the problem and in recent years several workers (Kagan & Snovidov, 1965; Kulshreshtha et al., 1971; Mukherjee, 1981) have successfully used this parameter for defect analysis in various non-ideal forms of materials.

Type
Notes
Information
Clay Minerals , Volume 20 , Issue 2 , June 1985 , pp. 249 - 253
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1985

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