Travels through perovskite space

Abstract
Perovskite and perovskite-related structures are organized in a diagrammatic form called Perovskite Space. The principal axes show variable oxygen content, variable A/B ratio, and compensated substitutions on either the A or B sites. In many cases, large excesses or deficiencies of a component relative to the ideal perovskite composition are accommodated in uniformly spaced layers separated by two-dimensional slabs of perovskite structure of various thicknesses. The defect chemistry of compositions along the axis of variable oxygen content is discussed in detail. There are homologous series of structures in the oxygen-deficient direction with the generic formula A n B n O3n-1, and in the oxygen-excess direction with the generic formula A m B m O3n+2. The defect chemistry is discussed in terms of the effects of forming ordered structures vs. the dispersal of the oxygen-excess or deficiency as randomly distributed point defects in the perovskite structure.

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