Ab initio nudged-elastic band (NEB) calculations58 were performed to estimate the activation energy for diffusion in expitaxially strained (001) at zero temperature. Our NEB calculations were performed for reasonably large or supercells containing several tens of atoms47. We used -point grids of or and an energy plane-wave cut-off of 650 eV. Six intermediate images were used to determine the energy barrier for oxygen diffusion along the most likely diffusion paths in the absence of thermal excitations. The geometry optimizations were halted when the total forces on the atoms were smaller than 0.01 eVÅ. The NEB calculations were performed for five epitaxial-strain equidistant points in the interval %.
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