Philosophical Magazine B · 1981 · 159 citations · 38 references
EngineeringSolid-state ChemistryModel PotentialsComputational ChemistryChemistryPhonon DispersionIon ProcessCalcium AluminateOxygen PolarizabilityMaterials SciencePhysicsCrystalline DefectsOxide ElectronicsAtomic PhysicsPhysical ChemistryDefect FormationOff-centre DisplacementsCrystallographySolid-state PhysicDefect EnergiesDivalent Substitutional IonsNatural SciencesCondensed Matter PhysicsApplied PhysicsChemical KineticsIon Structure
Abstract The problems of representing the polarizability of oxygen in potential models for oxides are discussed. Simple shell-model interionic potentials for MgO, CaO, SrO, BaO, MnO, FeO, CoO and NiO are proposed and the parameter fitted to the dielectric constants and lattice spacings. The oxygen polarizability and interactions are taken to be the same in all cases. Model predictions of cohesive energies, elastic constants and phonon dispersion are tested against experiment and found to be reasonably satisfactory for such an oversimplified model. Defect energies are calculated for Mg2+, Mn2+, Fe2+, Co2+ and Ni2+ substitutional impurities in CaO, SrO and BaO host crystals. Off-centre minima displaced in ⟨111⟩ directions are found in all cases in SrO and BaO, although SrO: Mn2+ is marginal: in CaO all the impurities studied remain on-centre. For systems which have been investigated experimentally these predictions show good agreement.
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Introduction to Solid State Physics
C. Kittel, Heng Fan · American Journal of Physics · 1957 · 22.4K citations
Electronic Polarizabilities of Ions in Crystals
Jack R. Tessman, Arnold H. Kahn, W. Shockley · Physical Review · 1953 · 1.4K citations
Crystals with the fluorite structure
W.N. Hayes · 1974 · 478 citations