Abstract

A model for anomalous self-difussion in the Group IV B transition metals Ti. Zr and Hf. is proposed. It is an extension of a previous model which was based on the identity of the activated complex for diffusion and the elementary ω-embryo of the low-temperature ω-phase. The diffusion coefficient is calculated as a function of temperature by means of an expression for the free energy based on Kikuchi's cluster variation method. The calculated self-diffusion coefficient in Zr is found to be in excellent agreement with experiment. Furthermore, diffusional anomalies observed in β-stabilized alloys of the Group IV B transition metals and, in particular, the increase of the apparent activation energy with solute concentration are readily explained by the model.

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