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Padé approach to potential transients: Part 1. Electron transfer without and with coupling to first-order homogeneous reactions at planar electrodes

Kant, Rama and Rangarajan, SK (1990) Padé approach to potential transients: Part 1. Electron transfer without and with coupling to first-order homogeneous reactions at planar electrodes. In: Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 277 (1-2). pp. 19-42.

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Official URL: http://dx.doi.org/10.1016/0022-0728(90)85089-N

Abstract

Potential transients are obtained by using “Padé approximants” (an accurate approximation procedure valid globally — not just perturbatively) for all amplitudes of concentration polarization and current densities. This is done for several mechanistic schemes under constant current conditions. We invert the non-linear current-potential relationship in the form (using the Lagrange or the Ramanujan method) of power series appropriate to the two extremes, namely near reversible and near irreversible. Transforming both into the Pad́e expressions, we construct the potential-time profile by retaining whichever is the more accurate of the two. The effectiveness of this method is demonstrated through illustrations which include couplings of homogeneous chemical reactions to the electron-transfer step.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Depositing User: Ms TV Yashodha
Date Deposited: 27 Apr 2011 06:19
Last Modified: 27 Apr 2011 06:19
URI: http://eprints.iisc.ac.in/id/eprint/34990

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