Crystal Lab › Prototype structures › Hexagonal
Computational AlPO₄-5 AlO₄P
Hexagonal · space group P6 (No. 168) · Pearson hP72
Symmetry elements and Wyckoff positions (interactive)
Computational AlPO₄-5 in P6
SettingUnit cell
- Lattice constants
- a = 13.760 Å, b = 13.760 Å, c = 8.390 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1375.7 ų
- Atoms in the conventional cell
- 72 (Al 12, O 48, P 12)
- Formula units Z
- 12
- Pearson symbol
- hP72 — hexagonal / trigonal, primitive lattice, 72 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 6d | 6 | 0.4498 | 0.1130 | 0.6253 |
| Al2 | Al | 6d | 6 | 0.1278 | 0.4660 | 0.1246 |
| O3 | O | 6d | 6 | 0.4154 | 0.2053 | 0.0456 |
| O4 | O | 6d | 6 | 0.2066 | 0.4189 | 0.5576 |
| O5 | O | 6d | 6 | 0.4218 | 0.0894 | 0.8248 |
| O6 | O | 6d | 6 | 0.1514 | 0.4907 | 0.3249 |
| O7 | O | 6d | 6 | 0.3746 | 0.0106 | 0.0948 |
| O8 | O | 6d | 6 | 0.0083 | 0.3667 | 0.4879 |
| O9 | O | 6d | 6 | 0.5693 | 0.1616 | 0.0357 |
| O10 | O | 6d | 6 | 0.1505 | 0.5625 | 0.5943 |
| P11 | P | 6d | 6 | 0.4451 | 0.1173 | 0.0000 |
| P12 | P | 6d | 6 | 0.1291 | 0.4589 | 0.4993 |
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 72 atoms drawn above are these sites multiplied by all 6 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
AB4C_hP72_168_2d_8d_2d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP72, then the space-group number 168, then the Wyckoff letters occupied by each element in turn (Al: 6d; Al: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; P: 6d; P: 6d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Comp. AlPO₄-5.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP72_168_2d_8d_2d-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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