title: Group-theoretical analysis of octahedral tilting in ferroelectric perovskites.
abstract: 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.
authors.affiliation: Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA. stokesh@byu.edu
authors.forename: Harold T
authors.initials: HT
authors.lastname: Stokes
authors.forename: Erich H
authors.initials: EH
authors.lastname: Kisi
authors.forename: Dorian M
authors.initials: DM
authors.lastname: Hatch
authors.forename: Christopher J
authors.initials: CJ
authors.lastname: Howard