Summary
The admittance of a membrane permeable only to ions of one kind has been derived using the time-dependent Poisson-Nernst-Planck formalism. The effects of double layer charges, of slow phase transfer kinetics, of adsorption and of diffusion in the aqueous phases adjacent to the membrane, have been included explicity. As numerical example, the admittance in the totally symmetrical case of zero direct voltage and zero direct current has been calculated. It is shown that an approximation based on the constant field assumption leads to perfectly acceptable results under conditions in which the usual steady-state constant field approximation is applicable. In the resulting equivalent circuit, ion transport through the membrane is represented by a single resistance only, which greatly facilitates the analysis. The admittance exhibits a striking analogy with that of the metal/solution interface.
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de Levie, R., Seidah, N.G. & Moreira, H. Transport of ions of one kind through thin membranes. J. Membrain Biol. 16, 17–42 (1974). https://doi.org/10.1007/BF01872405
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DOI: https://doi.org/10.1007/BF01872405