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The activation energy for lattice Self-Diffusion and the Engel-Brewer Theory

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Abstract

A phenomenological formula for the calculation of the activation energy for lattice self-diffusion is proposed. Use of the Engel-Brewer theory to determine the valence of an element provides an unambiguous means of calculating the activation energy from the formulaQ = RTm(16 +V), where R is the gas constant,T m the melting temperature, andV the Engel-Brewer valence [1 for body-centered cubic (bcc) structures, 2 for close-packed hexagonal (cph) structures and 3 for face-centered cubic (fcc) structures]. The approach works well for the great majority of metals and correctly predicts the activation energy for diffusion in fcc argon and xenon. Dif-fusion coefficients for elements with other structures, elements with anomalous diffusion coef-ficients and semiconductors, are also discussed.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, University of Manitoba, MB R3T 2N2, Winnipeg, Canada

    J. R. Cahoon (Professor is with the Metallurgical Sciences Laboratory)

  2. Department of Materials Science and Engineering, Stanford University, 94305-2205, Stanford, CA

    Oleg D. Sherby (Professor Emeritus)

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  1. J. R. Cahoon
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  2. Oleg D. Sherby
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Cahoon, J.R., Sherby, O.D. The activation energy for lattice Self-Diffusion and the Engel-Brewer Theory. Metall Trans A 23, 2491–2500 (1992). https://doi.org/10.1007/BF02658053

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