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VOLUME 79, NUMBER 3 P H Y S I C A L R E V I E W L E T T E R S 21 JULY 1997 Steric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
 

Summary: VOLUME 79, NUMBER 3 P H Y S I C A L R E V I E W L E T T E R S 21 JULY 1997
Steric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
Itamar Borukhov and David Andelman
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences,
Tel Aviv University, Tel Aviv 69978, Israel
Henri Orland
Service de Physique Théorique, CE-Saclay, 91191 Gif-sur-Yvette, Cedex, France
(Received 14 April 1997)
The adsorption of large ions from solution to a charged surface is investigated theoretically.
A generalized Poisson-Boltzmann equation which takes into account the finite size of the ions is
presented. We obtain analytical expressions for the electrostatic potential and ion concentrations at
the surface, leading to a modified Grahame equation. At high surface charge densities the ionic
concentration saturates to its maximum value. Our results are in agreement with recent experiments.
[S0031-9007(97)03612-0]
PACS numbers: 61.20.Qg, 68.10.­m, 82.60.Lf, 82.65.Dp
The interaction between charged objects (interfaces,
colloidal particles, membranes, etc.) in solution is
strongly affected by the presence of an electrolyte (salt)
and is of great importance in biological systems and
industrial applications [1,2]. The main effect is screening

  

Source: Andelman, David - School of Physics and Astronomy, Tel Aviv University

 

Collections: Materials Science; Physics