Abstract

Abstract Based on phenomenological equations and atomistic diffusion theory, general equations have been derived for vacancy diffusion in solids. The normally used diffusion equations are found to be special forms of the general equations under the assumption of low vacancy concentration or homogenous vacancy distribution. The general equations should be used to describe diffusion in solids that have high vacancy gradients, such as in barrier passive films. However, in the presence of a high electric field, vacancy gradient effects are considerably muted and the classical Nernst–Planck equations appear to be adequate for describing the transport of vacancies through the barrier layer.

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