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Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism
Author(s) -
Vincent Michael Raj Margret PonRani,
Lakshmanan Rajendren
Publication year - 2010
Publication title -
natural science
Language(s) - English
Resource type - Journals
eISSN - 2150-4105
pISSN - 2150-4091
DOI - 10.4236/ns.2010.211160
Subject(s) - steady state (chemistry) , microelectrode , planar , thermodynamics , work (physics) , homogeneous , chemistry , position (finance) , perturbation (astronomy) , kinetic energy , constant (computer programming) , limiting , boundary value problem , mathematical analysis , electrode , mathematics , physics , classical mechanics , computer science , mechanical engineering , computer graphics (images) , finance , quantum mechanics , engineering , economics , programming language
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

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