Crystal Lab › Prototype structures › Hexagonal
(AlPO₄)₉(O₂)₉O [AlPO₄-17 Framework]
Hexagonal · space group P63/m (No. 176) · Pearson hP146
Symmetry elements and Wyckoff positions (interactive)
(AlPO₄)₉(O₂)₉O [AlPO₄-17 Framework] in P63/m
SettingUnit cell
- Lattice constants
- a = 13.118 Å, b = 13.118 Å, c = 15.246 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 2272.0 ų
- Atoms in the conventional cell
- 146 (O 110, Al 18, P 18)
- Formula units Z
- 2
- Pearson symbol
- hP146 — hexagonal / trigonal, primitive lattice, 146 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 2a | 2 | 0.0000 | 0.0000 | 0.2500 |
| Al2 | Al | 6h | 6 | 0.0931 | 0.4245 | 0.2500 |
| O3 | O | 6h | 6 | 0.2376 | 0.4600 | 0.2500 |
| O4 | O | 6h | 6 | 0.4644 | 0.9195 | 0.2500 |
| P5 | P | 6h | 6 | 0.5742 | 0.9070 | 0.2500 |
| Al6 | Al | 12i | 12 | 0.7628 | 0.9981 | 0.1014 |
| O7 | O | 12i | 12 | 0.0254 | 0.3423 | 0.1581 |
| O8 | O | 12i | 12 | 0.6469 | 0.9667 | 0.1679 |
| O9 | O | 12i | 12 | 0.0906 | 0.1990 | 0.1160 |
| O10 | O | 12i | 12 | 0.1331 | 0.2550 | 0.6280 |
| O11 | O | 12i | 12 | 0.2730 | 0.0031 | 0.0060 |
| O12 | O | 12i | 12 | 0.2570 | 0.5100 | 0.7810 |
| O13 | O | 12i | 12 | 0.4271 | 0.8580 | 0.9678 |
| O14 | O | 12i | 12 | 0.4160 | 0.8250 | 0.0270 |
| P15 | P | 12i | 12 | 0.9978 | 0.2358 | 0.1019 |
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 146 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
A9B55C9_hP146_176_hi_a2h8i_hi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP146, then the space-group number 176, then the Wyckoff letters occupied by each element in turn (O: 2a; Al: 6h; O: 6h; O: 6h; P: 6h; Al: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; P: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: AlPO₄-17.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B55C9_hP146_176_hi_a2h8i_hi-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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