Counterion Accumulation in Rod‐Like Polyelectrolyte Solutions with Added Salt and Manning's Condensation Theory
作者:
A. R. Bizzarri,
G. Cametti,
A. Di Biasio,
期刊:
Berichte der Bunsengesellschaft für physikalische Chemie
(WILEY Available online 1988)
卷期:
Volume 92,
issue 1
页码: 17-21
ISSN:0005-9021
年代: 1988
DOI:10.1002/bbpc.198800004
出版商: Wiley‐VCH Verlag GmbH&Co. KGaA
关键词: Colloides;Electrical Properties;Liquids;Polyelectrolytes;Solutions
数据来源: WILEY
摘要:
AbstractThe Poisson‐Boltzmann equation in the cylindrical cell model is solved numerically for charged polyelectrolyte solutions containing mono‐ or di‐valent counterions and mono‐valent coions. The results, which describe the ion distribution around the polyion, are compared with those derived from the Poisson‐Boltzmann equation for salt‐free solutions in the limit of infinite dilution and with the Manning counterion condensation theory. This approach generalizes the results of Le Bret and Zimm for the dependence of the condensation radius on the polyion concentration to polyelectrolyte solutions containing added salt and shows how counterion condensation occurs even at finite concentration. The general conclusion drawn not only supports further evidences that the Manning condensation theory can be deduced from the Poisson‐Boltzmann equation but also suggests that counterion binding changes progressively from a free to condensed phase, as the polyion charge density parame
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