Premium
X‐ray line‐profile analysis. II. Determination of the crystallite‐diameter distribution function
Author(s) -
Moraweck B.,
De Montgolfier Ph.,
Renouprez A. J.
Publication year - 1977
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889877013223
Subject(s) - crystallite , cauchy distribution , diffraction , polynomial , mathematical analysis , distribution function , mathematics , function (biology) , truncation (statistics) , distribution (mathematics) , materials science , optics , physics , chemistry , crystallography , thermodynamics , statistics , evolutionary biology , biology
A new procedure for solving the integral equation which connects the crystallite‐diameter distribution function p ν( D ) to the pure diffraction profile is presented here. The representation of p ν( D ) is based on a polynomial expansion modulated by a generalized Cauchy function. The influence of the truncation of the diffraction profile and of the number of coefficients of the polynomial expansion is studied. This procedure has been applied with success to some catalysts, the granulometry of which is known by other experimental approaches.