Corrections to the Debye-Hückel Theory
type: CreativeWork
description: The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n3/2 in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.
abstract: The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n3/2 in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.
author: Murphy, Thomas James
keywords: cluster expansion, Mayer theory, thermodynamics, electron gas, ionic solutions, statistical mechanics, Physical Sciences and Mathematics
date published: 1968-01-01T08:00:00Z
date modified: 2026-07-24T04:11:21Z
provider: Rockefeller
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Rockefeller