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A modified “Hole” theory for solute impurity diffusion in liquid metals

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Abstract

A modified “hole” theory for solute impurity diffusion in liquid metals is presented. The theory calculates an “effective” valence for the solute impurities by assuming that the bulk valences of the solvent and solute metals are those given by the Engel-Brewer theory (one for bcc structures, two for cph structures, and three for fcc structures). The effects of balancing the Fermi energy level of the solute with that of the solvent and differences in zero point energy are then considered in calculating the effective valence. The effective valence is then used to calculate a value of diffusional activation energy from a modified Lazarus-LeClaire approach. It is shown that the proposed theory works very well for solute impurity diffusion of a number of solutes in Al, Cu, Ga, Ag, Pb, and Sn, but the paucity of diffusion data is a hindrance to development of theoretical models.

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  1. the Metallurgical Sciences Laboratory, Department of Mechanical and Industrial Engineering, University of Manitoba, R3T 5V6, Winnipeg, MB, Canada

    J. R. Cahoon (Professor)

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  1. J. R. Cahoon
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Cahoon, J.R. A modified “Hole” theory for solute impurity diffusion in liquid metals. Metall Mater Trans A 28, 583–593 (1997). https://doi.org/10.1007/s11661-997-0044-3

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  • DOI: https://doi.org/10.1007/s11661-997-0044-3

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