Electric Double Layer at the Membrane/Solution Interface: Distribution of Electric Potential and Estimation of the Charge Stored

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Abstract
The classical equations for the equilibrium electric double layer (EDL) at the charged membrane/solution interface have been solved and distributions of the electric potential and estimations of the charge stored are presented for some typical situations. The theoretical treatment is based on the full, non‐linearized Poisson‐Boltzmann equation, and includes partition coefficients and an adsorption isotherm for the concentration‐dependent fixed charge in a membrane immersed in a ternary electrolyte system. The physical trends observed for the Donnan and surface potentials and for the charge stored when the characteristics parameters of the EDL are varied have been discussed. Finally, the results obtained with the depleted layer model with concentration‐dependent fixed charge are compared to those resulting from the diffuse double layer model.