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Electric Double Layers at Metals

  • Chapter
Quantum Electrochemistry

Abstract

Gouy1 and Chapman2 gave equations for the excess net charge in a solution per unit area of an electrode as a function of the metal-solution potential difference, assuming only electrical interaction with the electrode, and for point ions. The corresponding equation that arises for the diffuse-layer capacitance is

$$C_{{\text{2 - b}}} = \left( {\frac{{z^2 e_0^2 n\varepsilon }} {{2\pi kT}}} \right)^{1/2} \cosh \frac{{ze_0 \varphi _{2 - b} }} {{2kT}}$$
(1.1)

φ2−b is the potential of the layer of ions in the outer Helmholtz plane (OHP) with respect to that of the solution, in which the concentration is n ions/cm3.

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Bockris, J.O., Khan, S.U.M. (1979). Electric Double Layers at Metals. In: Quantum Electrochemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2493-5_1

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