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Theory of impurity diffusion in metals

Theory of impurity diffusion in metals Abstract In a previous paper (Le Claire 1962) a simple electrostatic model was proposed for calculating the difference ΔQ between the activation energy for diffusion of an impurity in a metal and that for self-diffusion in the pure metal. The model is extended in the present paper to deal with the diffusion of impurities having the same valency as the solvent (homovalent impurities). For such cases the impurity is represented by a square potential well of depth equal to the difference between the electron-ground state energies of solute and solvent. Values of the perturbation potential due to such an ‘impurity’, calculated in both a Thomas-Fermi approximation and from a first-order solution of the March and Murray equations, are used to calculate ΔQ. For all presently known cases of homovalent diffusion the calculations give values for ΔQ close to those observed and always of the correct sign. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics Taylor & Francis

Theory of impurity diffusion in metals

Theory of impurity diffusion in metals


Abstract

Abstract In a previous paper (Le Claire 1962) a simple electrostatic model was proposed for calculating the difference ΔQ between the activation energy for diffusion of an impurity in a metal and that for self-diffusion in the pure metal. The model is extended in the present paper to deal with the diffusion of impurities having the same valency as the solvent (homovalent impurities). For such cases the impurity is represented by a square potential well of depth equal to the difference between the electron-ground state energies of solute and solvent. Values of the perturbation potential due to such an ‘impurity’, calculated in both a Thomas-Fermi approximation and from a first-order solution of the March and Murray equations, are used to calculate ΔQ. For all presently known cases of homovalent diffusion the calculations give values for ΔQ close to those observed and always of the correct sign.

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References (23)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
0031-8086
DOI
10.1080/14786436408228484
Publisher site
See Article on Publisher Site

Abstract

Abstract In a previous paper (Le Claire 1962) a simple electrostatic model was proposed for calculating the difference ΔQ between the activation energy for diffusion of an impurity in a metal and that for self-diffusion in the pure metal. The model is extended in the present paper to deal with the diffusion of impurities having the same valency as the solvent (homovalent impurities). For such cases the impurity is represented by a square potential well of depth equal to the difference between the electron-ground state energies of solute and solvent. Values of the perturbation potential due to such an ‘impurity’, calculated in both a Thomas-Fermi approximation and from a first-order solution of the March and Murray equations, are used to calculate ΔQ. For all presently known cases of homovalent diffusion the calculations give values for ΔQ close to those observed and always of the correct sign.

Journal

The Philosophical Magazine: A Journal of Theoretical Experimental and Applied PhysicsTaylor & Francis

Published: Oct 1, 1964

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