Document Type

Article

Date

1978

Embargo Period

4-15-2013

Keywords

chemistry

Disciplines

Chemistry

Description/Abstract

A definition of the ideally polarisable electrode which allows a general statistical mechanical treatment is given, comparisons with the usual thermodynamic approach being made. It is shown that, with this definition, the system behaves as a pure capacitance to an imposed alternating potential of sufficiently low frequency. The equilibrium states of the system are described by the grand canonical distribution. Thermodynamic functions, given in terms of the grand canonical partition function, can be computed in molecular terms: In particular, general expressions for the surface tension and the pressure are obtained, and compared to those proposed by various authors. The separation of the pressure into electrical and nonelectrical parts is analyzed. Expressions are given for the electrochemical potentials of charged and of dipolar species. With these microscopic definitions, the Gibbs adsorption isotherms and the Lippmann equation are derived. For several simple models, including that of Gouy and Chapman for an ionic solution and a metal electrode, these relations are explicitly considered. The inadmissability, in a coherent model, of reducing the solvent to a medium of fixed dielectric constant, is emphasized.

Additional Information

Copyright 1978 Journal of Electroanalytical Chemistry and Interfacial Electrochemistry. This article may be downloaded for personal use only. Any other use requires prior permission of the author and Journal of Electroanalytical Chemistry and Interfacial Electrochemistry.

The article may be found at

http://www.sciencedirect.com/science/article/pii/S0022072878800977

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