Group-Theoretical Analysis of Octahedral Tilting in Perovskites
- 1 December 1998
- journal article
- Published by International Union of Crystallography (IUCr) in Acta crystallographica Section B, Structural science, crystal engineering and materials
- Vol. 54 (6) , 782-789
- https://doi.org/10.1107/s0108768198004200
Abstract
A group-theoretical analysis is made of the structures derived from the aristotype cubic perovskite (Pm3¯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), B28, 3384–3392]. The analysis makes the group–subgroup relationships apparent.Keywords
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