#### Document Type

Article

#### Publication Date

1-1-1982

#### Subjects

Dielectrics, Dipole moments, Polarizability (Electricity), Mathematical physics

#### Abstract

The existence of the dielectric constant epsilon is investigated for fluids composed of classical deformable (polarizable) molecules. The development is based upon generalized functional-derivative relations which involve joint distributions in molecular positions r/sub k/ and dipole moments ..mu../sub k/. Sufficient conditions for the existence of epsilon are expressed in terms of the generalized direct correlation function c(12) = c(r/sub 1/, ..mu../sub 1/; r/sub 2/, ..mu../sub 2/). It is found that epsilon exists if -kTc(12) depends only on relative positions and dipole moment directions (in addition to Vertical Bar..mu../sub 1/Vertical Bar and Vertical Bar..mu../sub 2/Vertical Bar), and becomes asymptotic to the dipole--dipole potential at long range. An expression for epsilon in terms of a short-ranged total correlation function h/sub 0/(12) emerges automatically from the development. An expression for epsilon in terms of c(12) is also derived. The latter expression involves an inverse kernel in (Vertical Bar..mu../sub 1/Vertical Bar, Vertical Bar..mu../sub 2/Vertical Bar) space. The case of rigid polar molecules is reconsidered as a special case of the present formulation.

#### DOI

10.1063/1.443244

#### Persistent Identifier

http://archives.pdx.edu/ds/psu/7776

#### Citation Details

J.D. Ramshaw, "Existence of the dielectric constant in fluids of classical deformable molecules," J. Chem. Phys. 76, 2635 (1982)

## Description

This is the publisher's final pdf. Article appears in Journal of Chemical Physics (http://jcp.aps.org/) and is copyrighted by APS Journals (http://publish.aps.org/)

*At the time of publication John Ramshaw was affiliated with University of California, Los Alamos National Laboratory