Crystal Lab › Prototype structures › Hexagonal
AlPO₄-54 AlO₄P
Hexagonal · space group P63/mcm (No. 193) · Pearson hP108
Symmetry elements and Wyckoff positions (interactive)
AlPO₄-54 in P63/mcm
SettingUnit cell
- Lattice constants
- a = 18.549 Å, b = 18.549 Å, c = 8.404 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 2504.1 ų
- Atoms in the conventional cell
- 108 (O 72, Al 36)
- Formula units Z
- 36
- Pearson symbol
- hP108 — hexagonal / trigonal, primitive lattice, 108 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 6f | 6 | 0.5000 | 0.0000 | 0.0000 |
| O2 | O | 6g | 6 | 0.5858 | 0.0000 | 0.2500 |
| O3 | O | 12i | 12 | 0.5930 | 0.1860 | 0.0000 |
| O4 | O | 12i | 12 | 0.2465 | 0.4930 | 0.0000 |
| O5 | O | 12j | 12 | 0.8372 | 0.3428 | 0.2500 |
| Al6 | Al | 12k | 12 | 0.5815 | 0.0000 | 0.0533 |
| Al7 | Al | 24l | 24 | 0.1739 | 0.6603 | -0.0486 |
| O8 | O | 24l | 24 | 0.0843 | 0.6536 | -0.0227 |
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 108 atoms drawn above are these sites multiplied by all 24 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
AB2_hP108_193_kl_fg2ijl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP108, then the space-group number 193, then the Wyckoff letters occupied by each element in turn (O: 6f; O: 6g; O: 12i; O: 12i; O: 12j; Al: 12k; Al: 24l; O: 24l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP108_193_kl_fg2ijl-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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