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An exact solution of the Percus-Yevick equation for the correlation functions C₈₉ (r) appropriate to a binary mixture has been given by Lebowitz. We show that the Fourier transforms C₈₉ (K) lead directly to the structure factors S₈₉ (K), the latter being functions of a total packing parameter, the ratio of the hardsphere diameters and the concentration parameter x describing the relative amount of each component in the mixture. An expression for the compressibility is also given. The results are applied to a discussion of x-ray scattering from mixtures.
Ashcroft et al. (Sat,) studied this question.