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Simultaneous Measurement of Tracer and Interdiffusion Coefficients: An Isotopic Phenomenological Diffusion Formalism for the Binary Alloy

by Irina Belova, Nagraj S Kulkarni, Yong Ho Sohn, Graeme Murch
Publication Type
Journal
Journal Name
Philosophical Magazine
Publication Date
Page Numbers
3515 to 3526
Volume
93
Issue
26

In this paper, a new development of the classic Onsager phenomenological formalism is derived using relations based on linear response theory. The development concerns the correct description of the fluxes of the atomic isotopes. The resulting expressions in the laboratory frame are surprisingly simple and consist of terms coming from the standard interdiffusion expressions and from Fick’s first law where the tracer diffusion coefficient is involved thus providing a better understanding of the relationship between the two approaches - Fick’s first law and the Onsager phenomenological formalism. From an experimental application perspective, the new development is applied to the binary alloy case. The formalism provides the means to obtain the interdiffusion coefficient and tracer diffusion coefficients simultaneously from analysis of the interdiffusion concentration profiles in a single experiment.