Crystal Lab › Prototype structures › Trigonal
Calcined AlPO₄-34 AlO₄P
Trigonal · space group R-3 (No. 148) · Pearson hR36
Symmetry elements and Wyckoff positions (interactive)
Calcined AlPO₄-34 in R-3
SettingUnit cell
- Lattice constants
- a = 14.108 Å, b = 14.108 Å, c = 15.294 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 2636.2 ų
- Atoms in the conventional cell
- 108 (Al 18, O 72, P 18)
- Formula units Z
- 18
- Pearson symbol
- hR36 — hexagonal / trigonal, rhombohedral lattice, 36 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 18f | 18 | 0.2256 | 0.2289 | 0.3967 |
| O2 | O | 18f | 18 | 0.2391 | 0.1154 | 0.3663 |
| O3 | O | 18f | 18 | 0.3108 | 0.9863 | 0.3337 |
| O4 | O | 18f | 18 | 0.2610 | 0.0037 | 0.4909 |
| O5 | O | 18f | 18 | 0.1067 | 0.9095 | 0.3747 |
| P6 | P | 18f | 18 | 0.2292 | 0.0036 | 0.3919 |
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 18 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_hR36_148_f_4f_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR36, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Al: 18f; O: 18f; O: 18f; O: 18f; O: 18f; P: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: AlPO₄-34.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hR36_148_f_4f_f-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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