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A Theory of X‐Ray Diffraction from an Ordered Alloy Containing Antiphase Domains
Author(s) -
Roessler B.,
Flinn P. A.
Publication year - 1967
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19670240125
Subject(s) - diffraction , superlattice , fourier transform , alloy , distribution (mathematics) , domain (mathematical analysis) , distribution function , intensity (physics) , materials science , fourier analysis , x ray crystallography , fourier series , x ray , function (biology) , crystallography , condensed matter physics , derivative (finance) , mathematics , optics , physics , mathematical analysis , chemistry , quantum mechanics , composite material , evolutionary biology , financial economics , economics , biology
Abstract The theory of X‐ray diffraction from an ordered alloy containing antiphase domains is developed by expressing the Fourier coefficients that represent the diffracted intensity in a powder pattern in terms of a domain size distribution function. The size distribution function is expressed in terms of the second derivative of the Fourier coefficients and, hence, can be determined from experimental measurements of the superlattice peak shape. A comparison of these results to those of previous treatments of this problem shows that valuable additional information about the domain size distribution is accessible by means of the procedures presented here.