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Acta Crystallogr B. 2002 Dec;58(Pt 6):934-8. Epub 2002 Nov 28.

Group-theoretical analysis of octahedral tilting in ferroelectric perovskites.

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Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA.


Group-theoretical methods are used to analyze perovskite structures where both ferroelectric cation displacements and simple tilting of octahedral units are present. This results in a list of 40 different structures, each with a unique space-group symmetry. The list is compared with that of Aleksandrov & Bartolomé [Phase Transit. (2001), 74, 255-335] and a number of differences are found. The group-subgroup relationships between the structures are also determined, along with an indication of those phase transitions that must be first order by Landau theory.

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