General approach to structural categorization

3 ‚ Anion-deficient structures

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1 ‚ Perovskites
2 ‚ Cation-deficient structures
3 ‚ Anion-deficient structures
3.1 ‚ Disordered X-vacancies
3.2 ‚ Ordered X-vacancies
3.3 ‚ Vacancies in isolated rows
3.4 ‚ Vacancies in (001)c
3.5 ‚ Vacancies in [100]c and (001)c
4 ‚ Polytypes AmBnX3m
5 ‚ Layered structures
6 ‚ Ruddlesden-Popper-phases
7 ‚ Aurivillius phases
8 ‚ Other Homological Series

Anion vacancies can be introduced into the perovskite structure due to variable oxidation states of the cations (mostly the B-cations) or by introducing differently charged cations (A- and B-cations). The structure supports X-vacancies up to a nominal stoichiometry of ABX2.
Ordering of vacancies can introduce superstructures characterized by their alignment/distribution:
  • statistically distributed (no superstructure; 3.1)
  • ordered distrubution in 3 dimensions (3.2)
  • ordered distribution in 2 dimensions (3.4)
  • ordered distribution in 1 dimension (3.3)
  • in a combination of 1D and 2D distribution (3.5)
All of these variants derive from the cubic structures.

Adapted from "Hierarchies of perovskite-like crystals" by K. S. Aleksandrow and V. V. Beznosikov in Physics of the Solid State 39, 695-715 (1997).


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last changed: Jul 16, 1998. © 1997‚1998 Carsten Schinzer.