Crystal Lab › Prototype structures › Cubic
Ca₃Al₂O₆ (E9₁)
Cubic · space group Pm-3m (No. 221) · Pearson cP33 · Strukturbericht E91
Symmetry elements and Wyckoff positions (interactive)
Ca₃Al₂O₆ (E9₁) in Pm-3m
SettingUnit cell
- Lattice constants
- a = 7.624 Å, b = 7.624 Å, c = 7.624 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 443.1 ų
- Atoms in the conventional cell
- 33 (Ca 9, Al 6, O 18)
- Formula units Z
- 3
- Pearson symbol
- cP33 — cubic, primitive lattice, 33 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca3 | Ca | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Al1 | Al | 3c | 3 | 0.0000 | 0.5000 | 0.5000 |
| Al2 | Al | 3d | 3 | 0.5000 | 0.0000 | 0.0000 |
| O5 | O | 6f | 6 | 0.3000 | 0.5000 | 0.5000 |
| Ca4 | Ca | 8g | 8 | 0.2000 | 0.2000 | 0.2000 |
| O6 | O | 12h | 12 | 0.2000 | 0.5000 | 0.0000 |
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 33 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
A2B3C6_cP33_221_cd_ag_fh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP33, then the space-group number 221, then the Wyckoff letters occupied by each element in turn (Ca: 1a; Al: 3c; Al: 3d; O: 6f; Ca: 8g; O: 12h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: E9₁.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C6_cP33_221_cd_ag_fh-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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