Some simple results for the properties of polar fluids

TL;DR

This paper reviews the properties of polar fluids, focusing on dipolar hard sphere models, correlation functions, and dielectric constant relations, providing a comprehensive summary of known and new results in the field.

Contribution

It consolidates and presents known and new results on the thermodynamics and correlation functions of polar fluids, especially the dipolar hard sphere model, using the mean spherical approximation.

Findings

Relations between correlation functions and dielectric properties

New insights into the mean spherical approximation for polar fluids

Compilation of less-known results for polar fluid thermodynamics

Abstract

The author's lecture notes concerning the correlation functions and the thermodynamics of a simple polar fluid are summarized. The emphasis is on the dipolar hard sphere fluid and the mean spherical approximation and on the relation of these results to the Clausius-Mossotti and Onsager formulae for the dielectric constant. Previous excerpts from these lecture notes, Condens. Matter Phys., 2009, 12, 127; ibid., 2010, 13, 13002, have contained results that were not widely known. It is hoped that this third, and likely final, excerpt will prove equally helpful by gathering several results together and making these more widely available and recording a few new results.