Density functional calculation of activation energies for lattice and grain boundary diffusion in alumina

Abstract

To acquire knowledge on the lattice and grain boundary diffusion processes in alumina, we have determined the activation energies of elementary O and Al diffusive jumps in the bulk crystal, \ensuremath{\Sigma}3(0001) grain boundaries, and \ensuremath{\Sigma}3($10\overline{1}0$) grain boundaries of \ensuremath{\alpha}-Al${}_{2}$O${}_{3}$ using the first-principles density functional theory method. Specifically, we calculated the activation energies for four elementary jumps of both O and Al lattice diffusion in alumina. It was predicted that the activation energy of O lattice diffusion varied from 3.58 to 5.03 eV, while the activation energy of Al lattice diffusion ranged from 1.80 to 3.17 eV. As compared with experimental measurements, the theoretical predictions of the activation energy for lattice diffusion were lower and thus implied that there might be other high-energy diffusive jumps in the experimental alumina samples. Moreover, our results suggested that the Al lattice diffusion was faster than the O lattice diffusion in alumina, in agreement with experiment observations. Furthermore, it was found from our calculations for \ensuremath{\alpha}-Al${}_{2}$O${}_{3}$ that the activation energies of O and Al grain boundary diffusion in the high-energy \ensuremath{\Sigma}3(0001) grain boundaries were significantly lower than those of the lattice diffusion. In contrast, the activation energies of O and Al grain boundary diffusion in the low-energy \ensuremath{\Sigma}3($10\overline{1}0$) grain boundaries could be even higher than those of the lattice diffusion.