“…Therefore, we first optimize the cubic perovskite unit cell and build from the result a 2 × 2 × 2 supercell, which can encompass such distortions and is equivalent to a √ 2 × 1 × √ 2 supercell of orthorhombic CaHfO 3 . It contains 24 O atoms and thus is sufficient for simulating the experimentally observed low O vacancy concentrations (4-6%) in CaHfO 3 at ambient conditions [24]. Isolated vacancies are created by removing the (0, 0, 0) Ca atom (V Ca ), the (1/4, 1/4, 1/4) Hf atom (V Hf ), and the (1/2, 1/4, 1/4) O atom (V O ) from the supercell, see fig.…”