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