2008•Applied Physics LettersRequires access

Theory of grain boundary diffusion induced by the Kirkendall effect

Hui-Chia Yu, Anton Van der Ven, Katsuyo Thornton

Abstract

A set of coupled diffusion equations is numerically solved to demonstrate that grain boundary diffusion is significantly enhanced when diffusing atomic species have dissimilar atomic hop frequencies in the bulk. The model is based on a rigorous treatment of two-component substitutional diffusion where vacancies are treated as an additional species. By examining the concentration fields and the eigenvalues of the diffusivity matrix, the origin of the enhanced grain boundary diffusion is explained in terms of the Kirkendall effect.

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Key concepts: Kirkendall effect, Grain boundary diffusion coefficient, Grain boundary, Effective diffusion coefficient, Diffusion, Lattice diffusion coefficient, Thermal diffusivity, Materials science