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Article: Dielectric enhancement due to electrochemical double layer: Thin double layer approximation

TitleDielectric enhancement due to electrochemical double layer: Thin double layer approximation
Authors
Issue Date1982
PublisherAmerican Institute of Physics. The Journal's web site is located at http://jcp.aip.org/jcp/staff.jsp
Citation
The Journal Of Chemical Physics, 1982, v. 77 n. 9, p. 4683-4693 How to Cite?
AbstractThe dielectric constant and conductivity of a dilute ensemble of immobile, spherical particles with fixed surface (zeta) potential Φo, immersed in an electrolytic solution, is obtained in the thin double layer approximation δ≪α, δ being the thickness of the double layer, and α the radius of the particles. Equations of motion for coions and counter-ions are solved by the method of matched asymptotics. The equations of motions, linearized in the applied electric field Eo and with coefficients that are functions of the unperturbed potential (zeroth order in Eo), are solved to second order in (δ/α). The term giving enhancement in the real part of the effective dielectric constant of the ensemble ε′e, is second order in δ/α; but the series converges if (δ/α)t2/(1-t2)≪1, where t = tanh(eΦo/kBT), e being the ionic charge, k B the Boltzmann constant, and T the absolute temperature. The static value of ε′e to this order, is ε′ e∼36fε′t2/(1-t2)2, where f is the volume fraction of particles, ε′ the real part of the dielectric constant of the solution. When Φo→∞, therefore, t→1, ε′e diverges as ε′ e∼9/4fε′ exp[eΦo/kBT). The present treatment is free from the approximations of previous analytical results. When applicable, the theory agrees well with experiments over three decades in frequency, with one adjustable parameter Φo. Comparison with other theories are made. © 1982 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/182438
ISSN
2015 Impact Factor: 2.894
2015 SCImago Journal Rankings: 0.959

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorSen, PNen_US
dc.date.accessioned2013-05-02T05:15:21Z-
dc.date.available2013-05-02T05:15:21Z-
dc.date.issued1982en_US
dc.identifier.citationThe Journal Of Chemical Physics, 1982, v. 77 n. 9, p. 4683-4693en_US
dc.identifier.issn0021-9606en_US
dc.identifier.urihttp://hdl.handle.net/10722/182438-
dc.description.abstractThe dielectric constant and conductivity of a dilute ensemble of immobile, spherical particles with fixed surface (zeta) potential Φo, immersed in an electrolytic solution, is obtained in the thin double layer approximation δ≪α, δ being the thickness of the double layer, and α the radius of the particles. Equations of motion for coions and counter-ions are solved by the method of matched asymptotics. The equations of motions, linearized in the applied electric field Eo and with coefficients that are functions of the unperturbed potential (zeroth order in Eo), are solved to second order in (δ/α). The term giving enhancement in the real part of the effective dielectric constant of the ensemble ε′e, is second order in δ/α; but the series converges if (δ/α)t2/(1-t2)≪1, where t = tanh(eΦo/kBT), e being the ionic charge, k B the Boltzmann constant, and T the absolute temperature. The static value of ε′e to this order, is ε′ e∼36fε′t2/(1-t2)2, where f is the volume fraction of particles, ε′ the real part of the dielectric constant of the solution. When Φo→∞, therefore, t→1, ε′e diverges as ε′ e∼9/4fε′ exp[eΦo/kBT). The present treatment is free from the approximations of previous analytical results. When applicable, the theory agrees well with experiments over three decades in frequency, with one adjustable parameter Φo. Comparison with other theories are made. © 1982 American Institute of Physics.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://jcp.aip.org/jcp/staff.jspen_US
dc.relation.ispartofThe Journal of Chemical Physicsen_US
dc.titleDielectric enhancement due to electrochemical double layer: Thin double layer approximationen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0000690705en_US
dc.identifier.volume77en_US
dc.identifier.issue9en_US
dc.identifier.spage4683en_US
dc.identifier.epage4693en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridSen, PN=7402920655en_US

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