Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions

The analytical solutions, approximate expressions and a Finite Element simulation of the steady-state currents arising from the diffusion of a regenerating electroactive species towards a disc electrode, either inlaid in an insulator or recessed, are discussed. The results are valid for any reversib...

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Autores: Galceran i Nogués, Josep, Taylor, S. L., Bartlett, P. N.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:1999
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/48895
Acceso en línea:https://doi.org/10.1016/S0022-0728(99)00378-2
http://hdl.handle.net/10459.1/48895
Access Level:acceso abierto
Palabra clave:Electroquímica
Anàlisi electroquímica
Electrochemistry
Electrochemical analysis
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spelling Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactionsGalceran i Nogués, JosepTaylor, S. L.Bartlett, P. N.ElectroquímicaAnàlisi electroquímicaElectrochemistryElectrochemical analysisThe analytical solutions, approximate expressions and a Finite Element simulation of the steady-state currents arising from the diffusion of a regenerating electroactive species towards a disc electrode, either inlaid in an insulator or recessed, are discussed. The results are valid for any reversible charge transfer, regardless of the applied potential (i.e. including limiting currents) and for an equal or unequal diffusion coefficient of the species. For the inlaid disc, derivation of the exact analytical solution, via a reformulation of the diffusion-reaction problem as a dual integral equation that can then be solved using a series of Bessel functions, allows us to assess and review the accuracy of existing approximate expressions. We present three new formulae for the steady-state current under these conditions, among which we highlight one with an accuracy better than 0.27% over the entire range of rate constants and we show that the accuracy of a recently presented two point Padé approximation (L. Rajendran and M.V. Sangaranarayanan, J. Phys. Chem. B 103 (1999) 1518) is better than 0.01%. The analytical solution also allows us to show that the accuracy of the simulation of the same problem using the Finite Element Method is better than 0.4%. For the recessed disc the exact analytical solution is derived, as an extension of the solution of the inlaid disc, by matching the series representing the concentration of the electroactive species and its derivative. Two approximate expressions are suggested, one of which yields at least 2% accuracy. Concentration profiles for the electroactive species provide physical insight into the processes involved.Elsevier2015201519992015info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1016/S0022-0728(99)00378-2http://hdl.handle.net/10459.1/48895http://hdl.handle.net/10459.1/48895reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.1016/S0022-0728(99)00378-2Journal of Electroanalytical Chemistry, 1999, vol. 476, num. 2, p. 132-147(c) Elsevier, 1999info:eu-repo/semantics/openAccessoai:recercat.cat:10459.1/488952026-05-29T05:05:01Z
dc.title.none.fl_str_mv Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
title Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
spellingShingle Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
Galceran i Nogués, Josep
Electroquímica
Anàlisi electroquímica
Electrochemistry
Electrochemical analysis
title_short Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
title_full Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
title_fullStr Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
title_full_unstemmed Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
title_sort Steady-state currents at inlaid and recessed microdisc electrodes for first-order EC′reactions
dc.creator.none.fl_str_mv Galceran i Nogués, Josep
Taylor, S. L.
Bartlett, P. N.
author Galceran i Nogués, Josep
author_facet Galceran i Nogués, Josep
Taylor, S. L.
Bartlett, P. N.
author_role author
author2 Taylor, S. L.
Bartlett, P. N.
author2_role author
author
dc.subject.none.fl_str_mv Electroquímica
Anàlisi electroquímica
Electrochemistry
Electrochemical analysis
topic Electroquímica
Anàlisi electroquímica
Electrochemistry
Electrochemical analysis
description The analytical solutions, approximate expressions and a Finite Element simulation of the steady-state currents arising from the diffusion of a regenerating electroactive species towards a disc electrode, either inlaid in an insulator or recessed, are discussed. The results are valid for any reversible charge transfer, regardless of the applied potential (i.e. including limiting currents) and for an equal or unequal diffusion coefficient of the species. For the inlaid disc, derivation of the exact analytical solution, via a reformulation of the diffusion-reaction problem as a dual integral equation that can then be solved using a series of Bessel functions, allows us to assess and review the accuracy of existing approximate expressions. We present three new formulae for the steady-state current under these conditions, among which we highlight one with an accuracy better than 0.27% over the entire range of rate constants and we show that the accuracy of a recently presented two point Padé approximation (L. Rajendran and M.V. Sangaranarayanan, J. Phys. Chem. B 103 (1999) 1518) is better than 0.01%. The analytical solution also allows us to show that the accuracy of the simulation of the same problem using the Finite Element Method is better than 0.4%. For the recessed disc the exact analytical solution is derived, as an extension of the solution of the inlaid disc, by matching the series representing the concentration of the electroactive species and its derivative. Two approximate expressions are suggested, one of which yields at least 2% accuracy. Concentration profiles for the electroactive species provide physical insight into the processes involved.
publishDate 1999
dc.date.none.fl_str_mv 1999
2015
2015
2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/S0022-0728(99)00378-2
http://hdl.handle.net/10459.1/48895
http://hdl.handle.net/10459.1/48895
url https://doi.org/10.1016/S0022-0728(99)00378-2
http://hdl.handle.net/10459.1/48895
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/S0022-0728(99)00378-2
Journal of Electroanalytical Chemistry, 1999, vol. 476, num. 2, p. 132-147
dc.rights.none.fl_str_mv (c) Elsevier, 1999
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Elsevier, 1999
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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