Analytical Relation Between the Concentration of Species at the Electrode Surface and Current for Quasi-Reversible Reactions
Applied and Computational Mathematics
Volume 6, Issue 2, April 2017, Pages: 83-87
Received: Feb. 23, 2017; Accepted: Mar. 14, 2017; Published: Mar. 27, 2017
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Authors
S. Pavithra, Department of Mathematics, SethuInistitute of Technology, Kariapatti, India
L. Rajendran, Department of Mathematics, SethuInistitute of Technology, Kariapatti, India
Sunil Kumar, Department of Mathematics, National Institute of Technology, Jamshedpur, India
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Abstract
Cyclic voltammetry take into account the mass transport of species and the kinetics at the electrode surface. Analytical solutions of these models are not well-known due to the complexity of the boundary conditions. In this study we present analytical relation between the concentration at the electrode surface and the current for quasi-reversible reaction.A new semi analytic description ofquasi-reversible cyclic voltammetry at a electrode is obtained, assuming equal diffusion coefficients. It provides rigorous and complete expression for the voltamettric current, in the form of the integral or the integral equation.This solution method can be extended to cases that are more general and may be useful for benchmarking purposes.
Keywords
Mathematical Modeling, Boundary Value Problems, Non Linear Equations, Quasi-Reversible
To cite this article
S. Pavithra, L. Rajendran, Sunil Kumar, Analytical Relation Between the Concentration of Species at the Electrode Surface and Current for Quasi-Reversible Reactions, Applied and Computational Mathematics. Vol. 6, No. 2, 2017, pp. 83-87. doi: 10.11648/j.acm.20170602.13
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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