Crystal Lab › Prototype structures › Cubic
Cubic Perovskite (CaTiO₃, E2₁)
Cubic · space group Pm-3m (No. 221) · Pearson cP5 · Strukturbericht E21 · mineral: perovskite
Symmetry elements and Wyckoff positions (interactive)
Cubic Perovskite (CaTiO₃, E2₁) in Pm-3m
SettingUnit cell
- Lattice constants
- a = 3.795 Å, b = 3.795 Å, c = 3.795 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 54.7 ų
- Atoms in the conventional cell
- 5 (Ca 1, Ti 1, O 3)
- Formula units Z
- 1
- Pearson symbol
- cP5 — cubic, primitive lattice, 5 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Ti2 | Ti | 1b | 1 | 0.5000 | 0.5000 | 0.5000 |
| O3 | O | 3c | 3 | 0.0000 | 0.5000 | 0.5000 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 5 atoms drawn above are these sites multiplied by all 48 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
AB3C_cP5_221_a_c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP5, then the space-group number 221, then the Wyckoff letters occupied by each element in turn (Ca: 1a; Ti: 1b; O: 3c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
AlCFe₃, AlCMn₃, AlCTi₃, AlNMn₃, AuOCs₃, BaCeO₃, BaCrO₃, BaLiH₃, BaPuO₃, BaSnO₃, BaTiO₃, BaZrO₃, BaZrS₃, BiFeO₃, CeCRu₃, CeCrO₃, CuNMn₃, EuTiO₃, GaCMn₃, GaNMn₃, GeCMn₃, InCTi₃, InNTi₃, KCoF₃, KFeF₃, KMgF₃, KMnF₃, KNiO₃, KTaO₃, KZnO₃, LaAlO₃, LaCoO₃, LaGaO₃, MgCNi₃, MgNaF₃, NiNFe₃, NiNMn₃, PbTiO₃, PbZrO₃, PdNFe₃, PrCoO₃, PtNFe₃, RbFeF₃, SmCoO₃, SmCrO₃, SnCFe₃, SnNFe₃, SrLiH₃, SrRuO₃, SrTiO₃, SrTlO₃, TlCTi₃, TlNTi₃, YAlO₃, ZnCMn₃, Ba₃N₂, Ba₃P₂, Ba₃Sb₂ <!--beginning with an
Note: E2_1, Cubic Perovskite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_cP5_221_a_c_b-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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