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Tafel equation : ウィキペディア英語版
Tafel equation

The Tafel equation is an equation in electrochemical kinetics relating the rate of an electrochemical reaction to the overpotential.〔Bard, A. J.; Faulkner, L. R. “Electrochemical Methods. Fundamentals and Applications” 2nd Ed. Wiley, New York. 2001. ISBN 0-471-04372-9〕 The Tafel equation was first deduced experimentally and was later shown to have a theoretical justification. The equation is named after Swiss chemist Julius Tafel.
On a single electrode the Tafel equation can be stated as
:\Delta V=A\times \ln\left(\frac\right)
where
* \Delta V is the overpotential, V (note that the graph uses η for this quantity)
* A is the so-called "Tafel slope", V
* i is the current density, A/m2 and
* i_0 is the so-called "exchange current density", A/m2.
==Overview of the terms==
The exchange current is the current at equilibrium, i.e. the rate at which oxidized and reduced species transfer electrons with the electrode. In other words, the exchange current density is the rate of reaction at the reversible potential (when the overpotential is zero by definition). At the reversible potential, the reaction is in equilibrium meaning that the forward and reverse reactions progress at the same rates. This rate is the exchange current density.
The Tafel slope is measured experimentally. It, however, can be shown theoretically that when the dominant reaction mechanism involves the transfer of a single electron that
: \frac < A
where A is defined as
: A = \frac
where
* k is Boltzmann's constant,
* T is the absolute temperature,
* e is the electron charge, and
* \alpha is the so-called "charge transfer coefficient", the value of which must be between 0 and 1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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