The self-diffusion coefficient of crystalline solids as a function of density and temperature may derive from thermodynamics concepts and an earlier elastic thermodynamic point defect model of Varotsos and Alexopoulos (1977, 1978). Compensation laws ruling self-diffusion parameters in carbon-subgroup crystals obtained from theoretical calculations were predicted, as well.

Self-Diffusivity as a Function of Density and Temperature in Crystalline Solids and Compensating Rules for Self-Diffusion Parameters in Carbon Subgroup Crystals. A.N.Papathanassiou, I.Sakellis, J.Grammatikakis: Applied Physics Letters, 2010, 97[4], 041913