Crystal Lab › Prototype structures › Cubic
Mayenite (12 CaOcdot7Al₂O₃, K7_4, C12A7)
Cubic · space group I-43d (No. 220) · Pearson cI152 · Strukturbericht K74 · mineral: mayenite
Symmetry elements and Wyckoff positions (interactive)
Mayenite (12 CaOcdot7Al₂O₃, K7_4, C12A7) in I-43d
SettingUnit cell
- Lattice constants
- a = 11.979 Å, b = 11.979 Å, c = 11.979 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1719.1 ų
- Atoms in the conventional cell
- 152 (Al 28, O 76, Ca 48)
- Formula units Z
- 4
- Pearson symbol
- cI152 — cubic, body-centred lattice, 152 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 12a | 12 | 0.3750 | 0.0000 | 0.2500 |
| O5 | O | 12b | 12 | 0.8750 | 0.0000 | 0.2500 |
| Al2 | Al | 16c | 16 | 0.9812 | 0.9812 | 0.9812 |
| O6 | O | 16c | 16 | 0.5648 | 0.5648 | 0.5648 |
| Ca3 | Ca | 24d | 24 | 0.1068 | 0.0000 | 0.2500 |
| Ca4 | Ca | 24d | 24 | 0.0633 | 0.0000 | 0.2500 |
| O7 | O | 48e | 48 | 0.9429 | 0.8495 | 0.0367 |
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 152 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
A7B12C19_cI152_220_ac_2d_bce-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI152, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Al: 12a; O: 12b; Al: 16c; O: 16c; Ca: 24d; Ca: 24d; O: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: K7₄, Mayenite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B12C19_cI152_220_ac_2d_bce-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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