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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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
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.
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.
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.
Group Southampton Electrochemistry, Instrumental methods in electrochemistry (Ellis Horwood, Chichester, (2001)).
D. Britz and B. Kastening, “On the electrochemical observation of a second-order decay of radicals generated by flash photolysis or pulse radiolysis,” Journal of Electroanalytical Chemistry, 56(1), 73-90 (1974).
F. Lantelme and E. Cherrat, “Application of cyclic voltammetry to the study of and metalliding processes,” Journal of Electroanalytical Chemistry 244(1-2), 61-68(1988).
N. White and F. Lawson, “Potential sweep voltammetry of metal deposition and dissolution Part I. Theoretical analysis,” Journal of Electroanalytical Chemistry 25(3), 409-419 (1970).
R. S. Nicholson and Irving Shain, “Theory of stationary electrode polarography. single scan and cyclic methods applied to reversible, irreversible, and kinetic systems,” Anal. Chem. Analytical Chemistry 36(4), 706-723 (1964).
Allen J. Bard and Larry R. Faulkner, Electrochemical methods : Fundamentals and Applications (Wiley, New York, 2001).
L. Bortels, B. Van Den Bossche, and J. Deconinck, “Analytical solution for the steady-state and migration. Application to the identification of Butler-Volmer electrode reaction parameters,” Journal of electroanalytical chemistry 422(1/2), 161-167 (1997).
A. Molina, E. Torralba, C. Serna, and J. A. Ortuno, “Analytical solution for the facilitated ion transfer at the interface between two immiscible electrolyte solutions via successive complexation reactions in any voltammetric technique: Application to square wave voltammetry and cyclic voltammetry,” Electrochim Acta Electrochimica Acta 106, 244-257 (2013).
TalivaldisBerzins and Paul Delahay, “Oscillographicpolarographic waves for the reversible deposition of metals on solid electrodes,” Journal of the American Chemical Society 75(3), 555-559 (1953).
Jan C. Myland and Keith B. Oldham, “Quasireversible cyclic voltammetry of a surface confined redox system: a mathematical treatment,” Electrochemistry Communications 7(3), 282-287 (2005).
Keith B. Oldham and Jan C. Myland, “Modelling cyclic voltammetry without digital simulation,” Electrochimica Acta Electrochimica Acta 56(28), 10612-10625 (2011).
A. Eswari and L. Rajendran, “Mathematical modeling of cyclic voltammetry for EC reaction,” Russian Journal of Electrochemistry 47(2), 181-190 (2011).
A. Eswari and L. Rajendran, “Mathematical modeling of cyclic voltammetry for EC2 reaction,” Russian Journal of Electrochemistry 47(2), 191-199 (2011).
Adib J. Samin, and Jinsuo Zhang, “Analytical solutions of the plannar cyclic voltammetry process for two soluable species with equal diffusivities and fast electron transfer using the method of eigen function expansion”, AIP Advances, 5 087141,(2015).
Tanja R. Vidakovic-Koch,Vladimir V. Panic, Milan AndriMenkaPetkovska, Kai Sundmacher, “Nonlinear frequency response analysis of the ferrocyanideoxidation kinetics. part i. a theoretical analysis”, J. Phys. Chem. C 2011, 115, 17341–17351.
G. Moutiers, M. Cassir, J. Devynck, “A thermodynamic, voltammetric and convolution potential sweep characterization”, J. Electronal. Chem. 324(1992) 175-189.