On the third dielectric virial coefficient for dipolar hard spheres

Abstract

We have calculated the next term in Joslin's high temperature expansion of the third dielectric virial coefficient for dipolar hard spheres. The expansion now reads

where λ = μ²/d ³ kT. This series has been examined by various Padé approximant methods. We conclude that the extended series almost certainly sets an upper limit to the absolute magnitude of C*_ϵ, whose true value may well lie close to the estimates provided by Joslin's terms. The opportunity is taken to present a number of mathematical lemmas useful in calculations of this type.