Radial Distribution Functions for a Binary Mixture of Gaussian Molecules

We assume as an idealized model of a fluid a binary mixture of equal numbers of particles of type a and b such that the Mayer f function for similar particles is given by $f_{\mathrm{aa}}{\mathrm{=f}}_{\mathrm{bb}}\text{=0}$ , and for unlike particles it is given by $f_{\mathrm{ab}}\mathrm{=-}\exp {\mathrm{(-r}}^2{\mathrm{/\alpha }}^2)$ . That is, the force between similar particles is taken to be zero, while the force between unlike particles is taken to be repulsive. Numerical solutions of the Percus—Yevick and hypernetted‐chain integral equations are obtained. These radial distribution function solutions are than represented by Padé approximants.