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Sum-Rule Relations among Phenomenological Coefficients: Application to Segregation and Chemical Diffusion in Multicomponent Alloys and Mixed Ceramic Oxides

Journal Defect and Diffusion Forum (Volume 249)
Volume Diffusion in Solids - Past, Present and Future
Edited by B.S. Bokstein and B.B. Straumal
Pages 17-26
DOI 10.4028/www.scientific.net/DDF.249.17
Citation Irina V. Belova et al., 2006, Defect and Diffusion Forum, 249, 17
Online since January, 2006
Authors Irina V. Belova, Graeme E. Murch
Keywords Chemical Diffusion, Mixed Oxides, Multicomponent Alloys, Phenomenological Coefficients, Segregation
Abstract

In this overview, we discuss the sum-rule relating phenomenological coefficients in randomly mixed systems and consider several applications to collective diffusion problems. These applications include intrinsic diffusion multicomponent alloys, chemical diffusion in strongly ionic mixed cation crystals and demixing of cations in randomly mixed quaternary transition metal oxides. In each case a substantial simplification is possible as a result of the sum-rule.

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