Weighted-Strain-Breadth Equation for Imperfect Materials

Author(s): Cong Qiuzi, Yu Xiang and He Li

Pp: 105-111 (7)

Abstract

INTRODUCTION

All lattice imperfections, including finite sizes and strains/stress of grains or crystallites of the material, give rise to broadening of X-ray diffracted-line profiles.

The application of powder diffraction techniques for the determination of micro-strains of imperfect materials dated from 1940 when the pioneering work showed that the desired function of strain distribution can be obtained from the measurable functions of intensities by making use of Fourier series method. Luland reported the breadths of several curves of interest in the diffractometry. However, the earliest functions to be used and ones still widely employed in this field were Cauchy and Gaussian. In these cases, function was necessarily a good approximation to broaden line and there was evidence that a better representation can be obtained from the convolution of one or more Cauchy and Gaussian functions.....

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