Acta Crystallographica Section B Structural Science · 1998 · 725 citations · 2 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsCrystal StructureSolid State PhysicsCrystal LatticeCrystal SymmetryCrystal SystemsGroup TheoryLattice SymmetryPerovskite MaterialsGroup SubgroupsIrreducible RepresentationsPerovskite Crystal Structure
A group‑theoretical analysis of cubic perovskite structures derived by tilting rigid octahedra, mediated by the R⁺₄ and M⁺₃ irreducible representations, is performed. The analysis identifies 15 distinct structures, fewer than the 23 previously proposed, and clarifies their group–subgroup relationships. Citation: Glazer, Acta Cryst.
A group-theoretical analysis is made of the structures derived from the aristotype cubic perovskite ( Pm 3¯ m ) by the simple tilting of rigid octahedral units. The tilting is mediated by the irreducible representations R^+_4 and M^+_3 or the two in combination. These result in 15 possible structures, compared with the 23 possibilities suggested previously by Glazer [ Acta Cryst. (1972), B 28 , 3384–3392]. The analysis makes the group–subgroup relationships apparent.
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<i>Crystal Structures: A Working Approach</i>
H. D. Megaw, David H. Templeton · Physics Today · 1974 · 426 citations