On the third dielectric virial coefficient for dipolar hard spheres

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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.