Journal of Applied Crystallography

Volume 32, Part 6 (December 1999)

research papers

J. Appl. Cryst. (1999). 32, 1100-1104 [ doi:10.1107/S0021889899010869 ]

The small-angle scattering correlation function of the cuboid

W. Gille

Abstract: The analytical expression of the correlation function [gamma] (r) for the cuboid with edges a, b and c is established. The calculation is based on the chord-length distribution. Details of these structure functions at essential r positions are analysed, including higher derivatives of the correlation function at the maximum chord length. The result was checked on closer analysis of the corresponding scattering intensity I(h) and its asymptotic behaviour I(h).