Mathematical aspects of electrochemical kinetics

Greenhalgh, Winsome Jill. (1968). Mathematical aspects of electrochemical kinetics M.Sc Thesis, School of Physical Sciences, The University of Queensland.

       
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Author Greenhalgh, Winsome Jill.
Thesis Title Mathematical aspects of electrochemical kinetics
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
Publication date 1968-01-01
Thesis type M.Sc Thesis
Supervisor Dr. L. Bass
Total pages 93
Language eng
Subjects 02 Physical Sciences
Formatted abstract
The usual theory of diffusion-controlled ionic reactions in electrolytic solutions as developed by Smoluchowski and Debye is outlined and discussed. The electrostatic potential in the neighbourhood of a stationary ion is determined by use of Poisson's equation. This leads to a non-linear integro-differential equation on the elimination of the concentrations of the species of ions present. Approximate solutions of the resulting equation are obtained in two particular cases.  

The attempt to extend the theory to include movement of the central ion is found to result in a self-contradiction, which may be removed by the description of the problem in terms of joint probability functions. An approximate solution of Poisson's equation is found for the electrostatic potential around a moving ion in the new formulation of the problem, and the corresponding rate of reaction has been calculated.  

In the course of the thesis I have indicated which parts are original and given the appropriate references for the parts which are not.

Keyword Electrochemistry -- Mathematical models.

Document type: Thesis
Collection: UQ Theses (non-RHD) - UQ staff and students only
 
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Created: Fri, 29 Apr 2011, 22:04:38 EST by Ning Jing on behalf of The University of Queensland Library