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Separation of the particle size and microstrain components in the Fourier coefficients of a single diffraction profile
Author(s) -
Gangulee A.
Publication year - 1974
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/s0021889874010089
Subject(s) - diffraction , fourier transform , materials science , particle size , residual , constant (computer programming) , particle (ecology) , fourier series , fourier analysis , crystallography , analytical chemistry (journal) , physics , chemistry , mathematics , mathematical analysis , optics , algorithm , chromatography , oceanography , computer science , programming language , geology
The particle size and the microstrain components in the Fourier coefficients of a single diffraction profile can be separated, if the functional form of the dependence of the average microstrain on the averaging distance is known. It is shown that if this functional form is approximated as 〈ɛ n 2 〉 = C / n , where C is a constant, acceptable separation of the two components can be obtained. In the presence of mean residual strains or peak‐shifts due to faulting, the alternative approximation 〈ɛ n 2 〉 = C 1 + C 2 / n may be used.