An exact analysis of diffusion coefficients and correlation factors in crystals

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Abstract
A previous analysis of the diffusion coefficient in crystals, based on the concept of uncorrelated segments in the displacements of the atoms (Kidson 1975) is refined and made mathematically rigorous. A general expression for the correlation factor f, valid for all mechanisms, is obtained and applied to several specific cases. It is shown that the traditional derivation of f for the vacancy mechanism contains two compensating errors so that the final expression used to obtain numerical results remains correct.

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