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

K. Indira, L. Rajendran

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The analytical solutions of the non-steady-state concentrations of species at a planar microelectrode are discussed. The analytical expression of the kinetics of CE mechanism under first or pseudo-first order conditions with equal diffusion coefficients at planar electrode under non-steady-state conditions are obtained by using Homotopy perturbation method. These simple new approximate expressions 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. In this work we employ the Homotopy perturbation method to solve the boundary value problem. Furthermore, in this work the numerical simulation of the problem is also reported using Scilab program. The analytical results are found to be in excellent agreement with the numerical results.

Original languageEnglish
Pages (from-to)1277-1288
Number of pages12
JournalJournal of Mathematical Chemistry
Volume50
Issue number5
DOIs
Publication statusPublished - 01-05-2012

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Microelectrodes
Equilibrium constants
Kinetic parameters
Boundary value problems
Electrode
Rate constants
Homotopy Perturbation Method
Electrodes
Kinetics
Computer simulation
Order Conditions
Rate Constant
Diffusion Coefficient
Analytical Solution
Limiting
Boundary Value Problem
Valid
First-order
Numerical Simulation
Numerical Results

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Applied Mathematics

Cite this

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Analytical expression of non steady-state concentration for the CE mechanism at a planar electrode. / Indira, K.; Rajendran, L.

In: Journal of Mathematical Chemistry, Vol. 50, No. 5, 01.05.2012, p. 1277-1288.

Research output: Contribution to journalArticle

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