Abstract
The 23 Glazer tilt systems describing octahedral tilting in perovskites have been investigated. It is shown that in tilt systems a
+
a
+
a
−, a
+
b
+
b
−, a
+
a
+
c
−, a
+
b
+
c
−, a
0
b
+
b
− and a
0
b
+
c
− it is not possible to link together a three-dimensional network of perfectly rigid octahedra. In these tilt systems small distortions of the octahedra must occur. The magnitude of the distortions in the a
+
a
+
a
− and a
0
b
+
b
− tilt systems are estimated. A table of predicted space groups for ordered perovskites, A
2
MM′O6, for all 23 tilt systems is also given.
Publisher
International Union of Crystallography (IUCr)
Subject
General Biochemistry, Genetics and Molecular Biology,General Medicine
Cited by
1030 articles.
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