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The correlation function, intersect distribution and scattering from a cube
Author(s) -
Goodisman J.
Publication year - 1980
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/s0021889880011739
Subject(s) - cube (algebra) , scattering , correlation function (quantum field theory) , fourier transform , function (biology) , physics , distribution function , distribution (mathematics) , small angle scattering , range (aeronautics) , inversion (geology) , radial distribution function , mathematical analysis , optics , mathematics , geometry , materials science , quantum mechanics , geology , paleontology , structural basin , evolutionary biology , dielectric , composite material , biology , molecular dynamics
A calculation of γ( r ), the correlation function which gives the X‐ray scattering of a cubic object of uniform density, is given for the full range of r . A new method, which can be applied to other systems, is used. The function γ( r ) and its first derivative are everywhere continuous, but γ′′( r ) is discontinuous at r = L and r = L □2 ( L = cube edge length). This leads to an intersect distribution of unexpected shape. The scattering intensity as a function of angle is calculated by Fourier inversion of γ( r ).