Abstract
Exact impedance expressions are derived for thin layers of supported electrolyte between either identical redox electrodes or nonidentical electrodes of the parent metal type. While the symmetry of the former allows one to treat the system as two identical half-cells in series, the asymmetric concentration perturbation set up in the latter precludes such a separation. The impedance result obtained in the asymmetric case can be represented by an equivalent linear electrical circuit consisting of capacitances, resistances, an inductance, and several lengths of uniform transmission line, one of which exhibits an inductance per unit length. The general impedance result and the corresponding circuit reduce to the expected forms if the electrodes are identical or one electrode is kinetically reversible or ideally polarizable. Representative impedance results are displayed in the complex plane.
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