Isotope separation during diffusion along an edge dislocation in a simple cubic crystal

Abstract

During diffusion in crystalline lattices, isotope separation is well known to be proportional to the correlation factor. In a recently published analysis of vacancy-based transport along an edge dislocation in a simple cubic system, the expression for the diffusion coefficient takes on a much more complicated form than is found in the lattice, and it is uncertain whether the isotope separation factor is indeed proportional to the correlation factor. This effect is studied analytically and numerically, and shown to equal the correlation factor for diffusion along the dislocation. In addition, the isotope separation factor for electromigration is also determined to be proportional to the correlation factor for diffusion.