#### Published In

Journal of Chemical Physics

#### Document Type

Article

#### Publication Date

5-1-1976

#### Subjects

Kinetic theory of liquids, Electrochemistry, Statistical mechanics

#### Abstract

The dipolar analog of classical linearized Debye–Hückel theory is formulated for a finite fluid system of arbitrary shape composed of rigid polar molecules. In contrast to the ionic case, the dipolar Debye–Hückel (DDH) theory is nonunique due to an inherent arbitrariness in the choice of a local field E*. This nonuniqueness is expressed in terms of a parameter ϑ related to the ellipticity of the spheroidal cavity used to define E*. The theory then leads to an expression for the direct correlation function *c* (ϑ) as a function of ϑ. Only the short‐range part of *c* (ϑ) depends upon ϑ; the long‐range part equals −φ_{ d }/*k* *T* for all ϑ, where φ_{ d }is the bare dipole–dipole potential. This result for *c* (ϑ) implies the existence of the dielectric constant ε for all ϑ and leads to a formula for ε (ϑ). The DDH results for *c* (ϑ) and ε (ϑ) are formally identical to the ’’mean‐field’’ results of Ho/ye and Stell (obtained for an infinite system by a γ→0 limiting procedure) in which ϑ represents a ’’core parameter.

#### DOI

10.1063/1.432730

#### Persistent Identifier

http://archives.pdx.edu/ds/psu/7912

#### Citation Details

J.D. Ramshaw, "Debye–Hückel theory for rigid‐dipole fluids," J. Chem. Phys. 64, 3666 (1976)

## Description

Article appears in the Journal of Chemical Physics (http://jcp.aip.org/) and is copyrighted (1976) 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.