Distance distribution function of interacting uniform spheres

Abstract

The scattering intensity equals the Fourier-transform of the distance distribution function p´tµ t 2 ∆˜ 2´t µ of the sample, where ∆˜ 2´t µ is the autocorrelation function of the scattering contrast ∆ ´rµ. ∆˜ 2´t µ carries information both on the structure of the elementary scatterers and on their spatial distribution. In the present paper a method is described how to separate the two types of information in a system of interacting hard spheres.