Energy and equation-of-state relations for amorphous matter

A four-parameter analytic form for the radial distribution function g(r) fo r amorphous media is constructed in terms of transcendental functions. Comb ining this form of g(r) with well-known integral relations and a model pote ntial that includes a weakly attractive component and a repulsive core yiel ds integral forms for the equation of state and the energy equation for an amorphous medium in terms of the interparticle potential of the given sampl e. Appropriate choice of parameter values in our construct gives very good agreement of g(r) with experiment for both liquid argon and liquid sodium.