“…22) It is shown from these calculations that the separation between the neighbouring oxygen ions fluctuate by thermal vibrations, and the shortening of the separations by the bending mode (e.g., the O-Ce-O bending mode in BaCeO 3 18) ) lowers the energetic barrier for proton transfer from one oxygen site to the adjacent site. 17,18) In views of chemical bonding, the activation energy for proton transfer maybe affected by the repulsive interaction of the proton with the metal cation such as Ce, Zr and Ti in BaCeO 3 , BaZrO 3 , SeTiO 3 and CaTiO 3 . 19) Most of previous simulations are, however, concerned with the cubic phase, but not the orthorhombic phase where protonic conduction is observed experimentally.…”