Open AccessA METHOD OF DETERMINATION OF CRYSTALLITE SIZE FROM LINE PROFILES FITTED BY THE WEIGHTED GAUSS-CAUCHY COMBINATION FUNCTIONS
Author(s) -
Liu Yun-Ji,
Chucai Guo
Publication year - 1985
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.34.1156
Subject(s) - cauchy distribution , gauss , crystallite , diffraction , fourier transform , line (geometry) , simple (philosophy) , function (biology) , cauchy's integral formula , mathematical analysis , mathematics , physics , initial value problem , materials science , optics , cauchy problem , quantum mechanics , geometry , philosophy , epistemology , evolutionary biology , metallurgy , biology
In this paper, a new method for determining the crystallite size from line profile analysis is presented. The diffraction line profiles are fitted by weighted Gauss-Cau-chy combination functions. By using Fourier transform method, the integral width of pure physical brodening function f(x) can be obtained directly without assumption about the profile f(x). The method is more accurate, simple and convenient than the usually used methods of approximate functions, and the artificial and arbitrary nature of the assumption about function f(x) are avoided.