Self-diffusivity as a function of density and temperature in crystalline solids and compensating rules for self-diffusion parameters in Carbon - Subgroup crystals

TL;DR

This paper explores how self-diffusivity in crystalline solids varies with density and temperature, using thermodynamics and defect models, and predicts compensation laws for diffusion parameters in carbon subgroup crystals.

Contribution

It introduces a theoretical framework linking self-diffusivity to thermodynamics and predicts compensation laws for diffusion parameters in carbon crystals.

Findings

Self-diffusivity depends on density and temperature in crystalline solids.

Compensation laws for self-diffusion parameters in carbon subgroup crystals are predicted.

Theoretical calculations support the proposed relationships.

Abstract

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 [P. Varotsos and K. Alexopoulos, Phys. Rev. B 15, 4111 (1977); Phys. Rev. B 18, 2683 (1978)]. Compensation laws ruling self-diffusion parameters in carbon-subgroup crystals obtained from theoretical calculations are predicted, as well.