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Article: Dielectric enhancement and electrophoresis due to an electrochemical double layer: A uniform approximation

TitleDielectric enhancement and electrophoresis due to an electrochemical double layer: A uniform approximation
Authors
Issue Date1984
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, 1984, v. 80 n. 9, p. 4541-4552 How to Cite?
AbstractWe present here a method to calculate the response of a charged, insulating sphere immersed in an electrolytic solution in the presence of an externally applied electric field. Due to the charge on the sphere, it acquires a layer of counterions on the outside known as the electrochemical double layer. Since this double layer is complex, the response of the sphere to an externally applied electric field is complicated. In the past, ad hoc models have been proposed to circumvent the difficulty in the analysis of this problem. Recently, we presented a rigorous analysis of this problem using the technique of matched asymptotic expansions commonly used in boundary layer theory. Our previous solution was not valid for high zeta potential that corresponded to a highly charged sphere. In this paper, we present an analysis where this restriction is removed, and incorporate the effect of induced solvent osmotic flow. Our solutions is valid for larger value of the zeta potential compared to previous works. When the zeta potential is zero, corresponding to an uncharged sphere, we reproduce the classical result of an insulating sphere in a conducting medium. When the zeta potential is high, we reproduce a correction to the result of Fixman and O'Brien. With the response of one sphere known, we can use it to calculate the dielectric response of an ensemble of spheres, for example, in a colloidal suspension. © 1984 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/182443
ISSN
2015 Impact Factor: 2.894
2015 SCImago Journal Rankings: 0.959

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:15:22Z-
dc.date.available2013-05-02T05:15:22Z-
dc.date.issued1984en_US
dc.identifier.citationThe Journal Of Chemical Physics, 1984, v. 80 n. 9, p. 4541-4552en_US
dc.identifier.issn0021-9606en_US
dc.identifier.urihttp://hdl.handle.net/10722/182443-
dc.description.abstractWe present here a method to calculate the response of a charged, insulating sphere immersed in an electrolytic solution in the presence of an externally applied electric field. Due to the charge on the sphere, it acquires a layer of counterions on the outside known as the electrochemical double layer. Since this double layer is complex, the response of the sphere to an externally applied electric field is complicated. In the past, ad hoc models have been proposed to circumvent the difficulty in the analysis of this problem. Recently, we presented a rigorous analysis of this problem using the technique of matched asymptotic expansions commonly used in boundary layer theory. Our previous solution was not valid for high zeta potential that corresponded to a highly charged sphere. In this paper, we present an analysis where this restriction is removed, and incorporate the effect of induced solvent osmotic flow. Our solutions is valid for larger value of the zeta potential compared to previous works. When the zeta potential is zero, corresponding to an uncharged sphere, we reproduce the classical result of an insulating sphere in a conducting medium. When the zeta potential is high, we reproduce a correction to the result of Fixman and O'Brien. With the response of one sphere known, we can use it to calculate the dielectric response of an ensemble of spheres, for example, in a colloidal suspension. © 1984 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 and electrophoresis due to an electrochemical double layer: A uniform 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-s2.0-0001586058en_US
dc.identifier.volume80en_US
dc.identifier.issue9en_US
dc.identifier.spage4541en_US
dc.identifier.epage4552en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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