Crystal Lab › Prototype structures › Monoclinic
Calcined AlPO₄-18 AlO₄P
Monoclinic · space group C12/c1 (No. 15) · Pearson mC144
Symmetry elements and Wyckoff positions (interactive)
Calcined AlPO₄-18 in C12/c1
SettingUnit cell
- Lattice constants
- a = 13.711 Å, b = 12.731 Å, c = 23.086 Å; α = 90.00°, β = 126.45°, γ = 90.00°
- Cell volume
- 3241.7 ų
- Atoms in the conventional cell
- 144 (Al 24, O 96, P 24)
- Formula units Z
- 24
- Pearson symbol
- mC144 — monoclinic, base-centred lattice, 144 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 8f | 8 | 0.4740 | 0.7910 | 0.8340 |
| Al2 | Al | 8f | 8 | 0.1940 | 0.0230 | 0.0620 |
| Al3 | Al | 8f | 8 | 0.9310 | 0.6530 | 0.9510 |
| O4 | O | 8f | 8 | 0.7990 | 0.6970 | 0.8710 |
| O5 | O | 8f | 8 | 0.3900 | 0.0830 | 0.9980 |
| O6 | O | 8f | 8 | 0.3010 | 0.9910 | 0.0540 |
| O7 | O | 8f | 8 | 0.0770 | 0.0820 | 0.9800 |
| O8 | O | 8f | 8 | 0.4480 | 0.7040 | 0.8800 |
| O9 | O | 8f | 8 | 0.6040 | 0.7520 | 0.8440 |
| O10 | O | 8f | 8 | 0.2530 | 0.3870 | 0.8670 |
| O11 | O | 8f | 8 | 0.0120 | 0.5800 | 0.9300 |
| O12 | O | 8f | 8 | 0.3520 | 0.7840 | 0.7430 |
| O13 | O | 8f | 8 | 0.1410 | 0.9090 | 0.0750 |
| O14 | O | 8f | 8 | 0.5050 | 0.0880 | 0.1270 |
| O15 | O | 8f | 8 | 0.0140 | 0.7620 | 0.0020 |
| P16 | P | 8f | 8 | 0.4690 | 0.6550 | 0.9460 |
| P17 | P | 8f | 8 | 0.4210 | 0.0190 | 0.0620 |
| P18 | P | 8f | 8 | 0.7030 | 0.7800 | 0.8360 |
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 144 atoms drawn above are these sites multiplied by all 8 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_mC144_15_3f_12f_3f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC144, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Al: 8f; Al: 8f; Al: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; P: 8f; P: 8f; P: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Calcined AlPO₄-18.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mC144_15_3f_12f_3f-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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