Quantum mechanical techniques based on density functional theory have been used to investigate the mechanism and energetics of proton transport in the perovskite-structured CaZrO 3 . The calculations demonstrate that the observed orthorhombic crystal structure (comprised of tilting [ZrO 6 ] octahedra) is reproduced accurately. Quantum mechanical molecular dynamics simulations confirm that the diffusion mechanism involves proton transfer from one oxygen ion to the next (Grötthuss-type mechanism) and also indicate the importance of the vibrational dynamics of the oxygen sublattice. For each hopping event, the oxygen−oxygen distance contracts to about 2.4−2.5 Å so as to assist proton transfer. By exploration of the energy profiles for proton transfer, a very low energy barrier is found for the O(1)−O(1) interoctahedra path. However, long-range proton conduction may involve O(1)−O(2) proton transfer as the rate-limiting step with a calculated energy barrier of 0.74 eV. Binding energies for hydroxyl−dopant pairs involving Ga 3+, Sc 3+, and In 3+ dopant ions are predicted to be favorable and are compatible with observed proton “trapping” energies from previous muon spin relaxation and quasi-elastic neutron scattering experiments.
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Islam et al. (2001) studied this question.
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