Crystal Lab › Prototype structures › Cubic
Al(PO₃)₃ (G5₂)
Cubic · space group I-43d (No. 220) · Pearson cI208 · Strukturbericht G52
Symmetry elements and Wyckoff positions (interactive)
Al(PO₃)₃ (G5₂) in I-43d
SettingUnit cell
- Lattice constants
- a = 13.630 Å, b = 13.630 Å, c = 13.630 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2532.1 ų
- Atoms in the conventional cell
- 208 (Al 16, O 144, P 48)
- Formula units Z
- 16
- Pearson symbol
- cI208 — cubic, body-centred lattice, 208 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 16c | 16 | 0.1170 | 0.1170 | 0.1170 |
| O2 | O | 48e | 48 | 0.0900 | 0.1100 | 0.8000 |
| O3 | O | 48e | 48 | 0.0950 | 0.1410 | 0.2450 |
| O4 | O | 48e | 48 | 0.1370 | 0.0960 | 0.9860 |
| P5 | P | 48e | 48 | 0.8400 | 0.5630 | 0.6240 |
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 208 atoms drawn above are these sites multiplied by all 48 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
AB9C3_cI208_220_c_3e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI208, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Al: 16c; O: 48e; O: 48e; O: 48e; P: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: G5₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB9C3_cI208_220_c_3e_e-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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