Diffusion mechanisms of vacancy and doped Si in Al3Ti from first-principles calculations

First-principles calculations were employed to study the migration of vacancy in clean and Si-doped Al₃Ti. The effect of Si doping on the formation of vacancy and the diffusion of doped-Si atom in the Al₃Ti were also investigated. It is found that, under Al-rich condition, the formation energies of Al vacancies in Al₃Ti with Si doping are decreased compared with those in clean Al₃Ti. The preferred migration paths of vacancies are not changed when Si occupies Al site, but the migration energy barriers for the majority of paths are decreased after Si doping. The doped-Si atom on Al site prefers to diffuse via the nearest Al vacancy.