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Theory of counter-ion condensation on flexible polyelectrolytes: Adsorption mechanism

Muthukumar, M.·2004·The Journal of Chemical Physics

Abstract

A new model is presented for counterion distribution around flexible polyelectrolytes by considering (i) free energy of the polyelectrolyte chain, (ii) translational entropy of adsorbed counterions, (iii) adsorption energy, (iv) translational entropy of unadsorbed counterions, (v) fluctuations of dissociated ions, and (vi) correlation among ion-pairs formed by adsorbed counterions on the polymer. The effective charge and size of the polymer are calculated self-consistently. The degree of ionization f of the polymer decreases continuously with 1/εT (ε and T are the dielectric constant of the solvent and temperature, respectively), depending sensitively on local dielectric heterogeneity. Further, f decreases with an increase in salt concentration, monomer concentration, or chain flexibility. The polymer size, accompanying the changes in f, depends nonmonotonically on 1/εT. The predictions of the model are consistent with all trends observed previously in simulations and are distinctly different from the Manning argument for rodlike chains.

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Metadata

Authors
Muthukumar, M.
Venue
The Journal of Chemical Physics
Published
2004-05-15
Volume
120
Issue
19
Pages
9343-9350
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2070380156
Cited by
391
References
10
FWCI
10.46
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Theory of counter-ion condensation on flexible polyelectrolytes: Adsorption mechanism. https://app.cochat.ai/papers/10.1063/1.1701839
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Muthukumar, M. (2004). Theory of counter-ion condensation on flexible polyelectrolytes: Adsorption mechanism. The Journal of Chemical Physics. https://doi.org/10.1063/1.1701839

Data sources

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.