Group-theoretical analysis of octahedral tilting in perovskites

被引:651
作者
Howard, CJ
Stokes, HT
机构
[1] Australian Nucl Sci & Technol Org, Menai, NSW 2234, Australia
[2] Brigham Young Univ, Dept Phys & Astron, Provo, UT 84602 USA
来源
ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE | 1998年 / 54卷
关键词
D O I
10.1107/S0108768198004200
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
A group-theoretical analysis is made of the structures derived from the aristotype cubic perovskite (Pm (3) over bar 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.
引用
收藏
页码:782 / 789
页数:8
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