Crystal Lab › Prototype structures › Hexagonal
AlPO₄-5 (Framework type AFI)
Hexagonal · space group P6cc (No. 184) · Pearson hP72
Symmetry elements and Wyckoff positions (interactive)
AlPO₄-5 (Framework type AFI) in P6cc
SettingUnit cell
- Lattice constants
- a = 13.718 Å, b = 13.718 Å, c = 8.453 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1377.5 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
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 12d | 12 | 0.4565 | 0.1205 | 0.0000 |
| O2 | O | 12d | 12 | 0.4200 | 0.2069 | 0.0710 |
| O3 | O | 12d | 12 | 0.1224 | 0.4519 | 0.2982 |
| O4 | O | 12d | 12 | 0.3629 | 0.0019 | 0.0649 |
| O5 | O | 12d | 12 | 0.1538 | 0.5737 | 0.0602 |
| P6 | P | 12d | 12 | 0.1230 | 0.4525 | 0.1275 |
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 12 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_184_d_4d_d-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 184, then the Wyckoff letters occupied by each element in turn (Al: 12d; O: 12d; O: 12d; O: 12d; O: 12d; P: 12d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: AlPO₄-5.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP72_184_d_4d_d-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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