Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism

Vincent Michael Raj Margret PonRani, Lakshmanan Rajendren

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DOI: 10.4236/ns.2010.211160                

Abstract

The analytical solutions of the non-steady-state concentrations of species at a planar microelectrode are presented. These simple new approximate expressions of concentrations are valid for all values of time and possible values of rate constants. Analytical equations are given to describe the current when the homogeneous equilibrium position lies heavily in favour of the electroinactive species. Working surfaces are presented for the variation of limiting current with a homogeneous kinetic parameter and equilibrium constant. Moreover, in this work we employ the Homotopy perturbation method to solve the boundary value problem.

Keywords

Planar Electrode; CE Mechanism; Mathematical Modelling; Reaction/Diffusion Equation; Homotopy Perturbation Method

Conflicts of Interest

The authors declare no conflicts of interest.

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