Distance distribution function of interacting uniform spheres

The scattering intensity equals the Fourier-transform of the distance distribution function p(t) = t²Δ²(t) of the sample, where Δ²(t) is the autocorrelation function of the scattering contrast Δρ(r). Δ²(t) 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.