Group-theoretical analysis of octahedral tilting in perovskites

Authors
Howard, CJ Stokes, HT
Citation
Cj. Howard et Ht. Stokes, Group-theoretical analysis of octahedral tilting in perovskites, ACT CRYST B, 54, 1998, pp. 782-789
Citations number
29
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE
ISSN journal
01087681 → ACNP
Volume
54
Year of publication
1998
Part
6
Pages
782 - 789
Database
ISI
SICI code
0108-7681(199812)54:<782:GAOOTI>2.0.ZU;2-Q
Abstract
A group-theoretical analysis is made of the structures derived from the ari stotype cubic perovskite (Pm (3) over bar m) by the simple tilting of rigid octahedral units. The tilting is mediated by the irreducible representatio ns R-4(+) and M-3(+) or the two in combination. These result in 15 possible structures, compared with the 23 possibilities suggested previously by Gla zer [Acta Cryst. (1972), B28, 3384-3392]. The analysis makes the group-subg roup relationships apparent.