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Octahedral tilting in cation-ordered perovskites--a group-theoretical analysis
Christopher J Howard1, Harold T Stokes
1Australian Nuclear Science and Technology Organisation, Private Mail Bag 1, Menai, NSW 2234, Australia, and School of Physics, University of Sydney, NSW 2006, Australia. cjh@ansto.gov.au
Acta Crystallographica. Section B, Structural Science
|November 10, 2004
Summary
Group-theoretical methods reveal new ordered perovskite structures. This study identifies ten 1:2 and eleven 1:3 ordered perovskite structures by analyzing cation ordering and octahedral tilting.
Area of Science:
- Materials Science
- Crystallography
- Solid-State Chemistry
Background:
- Ordered perovskites exhibit complex structures crucial for various applications.
- Understanding cation ordering and octahedral tilting is key to predicting perovskite properties.
Purpose of the Study:
- To systematically enumerate and classify the possible structures of ordered perovskites.
- To investigate the interplay between cation ordering (1:2 and 1:3) and octahedral tilting.
Main Methods:
- Utilized group-theoretical methods and irreducible representations of the Pm3 m space group.
- Analyzed specific irreducible representations (Lambda1, M1+) for cation ordering patterns.
- Incorporated irreducible representations (M3+, R4+) describing octahedral tilting.
Main Results:
- Identified distinct cation ordering patterns for 1:2 (A3BB2'X9) and 1:3 (A4BB3'X12) compounds.
- Determined ten unique structures for the 1:2 ordering case.
- Discovered eleven unique structures for the 1:3 ordering case.
Conclusions:
- Group theory provides a powerful framework for predicting ordered perovskite structures.
- The combination of cation ordering and octahedral tilting leads to a rich diversity of perovskite structures.