#### Document Type

Article

#### Publication Date

10-1-1972

#### Subjects

Dielectrics, Dipole moments, Fluid dynamics

#### Abstract

The question of whether the dielectric constant ε exists (is well defined) for a finite fluid system of rigid dipolar molecules is reconsidered and reformulated. It is found that this question can most simply be expressed in terms of the behavior of the position‐ and orientation‐dependent *direct *correlation function c(r_{1},ω_{1}; r_{2}, ω_{2}). It is shown that ε exists if *c* satisfies the following two conditions: (a) c~–φ/kT for |r_{1}–r_{2}|>σ, where φ is the dipole‐dipole potential and σ is a length which is large microscopically but small macroscopically. (b) c(r_{1},ω_{1}; r_{2}, ω_{2}) is of the form c_{8}(|r_{1}–r_{2}|)+F(r_{1}–r_{2}):e(ω_{1})e(ω_{2}) for |r_{1}–r_{2}| < *σ*, where e(ω) is the unit vector with orientation ω. An explicit (and new) expression for ε in terms of *c* is automatically obtained; its applicability is ensured if the above conditions are satisfied. These results lend new intuition and insight into the question of the existence of ε, and suggest a promising approach for future investigations of this question.

#### DOI

10.1063/1.1678651

#### Persistent Identifier

http://archives.pdx.edu/ds/psu/7916

#### Citation Details

J.D. Ramshaw, "Existence of the Dielectric Constant in Rigid‐Dipole Fluids: The Direct Correlation Function," J. Chem. Phys. 57, 2684 (1972)

## Description

Article appears in the Journal of Chemical Physics (http://jcp.aip.org/) and is copyrighted (1972) by the American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

*At the time of publication John Ramshaw was affiliated with The University of Utah