Oxygen
vacancy formation energies and migration barriers in (001)
surfaces of CaTiO<sub>3</sub>, SrTiO<sub>3</sub>, and BaTiO<sub>3</sub> have been investigated using first principles density functional
theory. The degree of distortion within the TiO<sub>2</sub> sublattice
in the presence of defects and consequently the defect formation energies
in these titanate surfaces are determined by the size of the A-site
cation (Ca<sup>2+</sup> < Sr<sup>2+</sup> < Ba<sup>2+</sup>).
This is notably the case for CaTiO<sub>3</sub>, in which the presence
of a vacancy defect leads to a heavily distorted local orthorhombic
structure within the (001) slab depending on the defect position,
despite the overall cubic symmetry of the material modelled. This
effectively leads to the TiO<sub>2</sub> sublattice acting as a thermodynamic
trap for oxygen vacancy defects in CaTiO<sub>3</sub>. By contrast,
calculated vacancy diffusion pathways in SrTiO<sub>3</sub> and BaTiO<sub>3</sub> indicate that vacancy diffusion with these larger A-site
cations is kinetically and not thermodynamically controlled