Student Theses and Dissertations

Date of Award

1968

Document Type

Thesis

Degree Name

Doctor of Philosophy (PhD)

Thesis Advisor

E.G.D. Cohen

Keywords

cluster expansion, Mayer theory, thermodynamics, electron gas, ionic solutions, statistical mechanics

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.

Comments

A thesis presented to the faculty of The Rockefeller University in partial fulfillment of the requirements for the degree of Doctor of Philosophy

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