The scaled particle theory for particles of arbitrary shape

Abstract

The scaled particle theory of Reiss et al. has been extended to hard non-spherical particles and equations analogous to the Percus-Yevick equation have been obtained for mixtures of particles of the same shape but different sizes. The resulting equation of state produces exact second and third virial coefficients which are functions of the average radius, the surface area and the volume of the particle. The equations of state for several systems of hard non-spherical particles are compared with that for a system of hard spheres.