Steric effects in electrolytes: A modified poisson-boltzmann equation

Itamar Borukhov, David Andelman, Henri Orland

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)435-438
Number of pages4
JournalPhysical Review Letters
Issue number3
StatePublished - 1 Jan 1997


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