Crystal Lab › Prototype structures › Orthorhombic
AlPO₄-8 AlO₄P
Orthorhombic · space group Cmcm (No. 63) · Pearson oC216
Symmetry elements and Wyckoff positions (interactive)
AlPO₄-8 in Cmcm
SettingUnit cell
- Lattice constants
- a = 33.290 Å, b = 14.704 Å, c = 8.386 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 4104.9 ų
- Atoms in the conventional cell
- 216 (O 144, Al 72)
- Formula units Z
- 72
- Pearson symbol
- oC216 — orthorhombic, base-centred lattice, 216 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O6 | O | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| O7 | O | 4c | 4 | 0.0000 | 0.9042 | 0.2500 |
| O8 | O | 8e | 8 | 0.6725 | 0.0000 | 0.0000 |
| O9 | O | 8e | 8 | 0.0876 | 0.0000 | 0.0000 |
| O10 | O | 8e | 8 | 0.7852 | 0.0000 | 0.0000 |
| Al1 | Al | 8f | 8 | 0.0000 | 0.0958 | 0.9356 |
| O11 | O | 8g | 8 | 0.1862 | 0.3999 | 0.2500 |
| O12 | O | 8g | 8 | 0.0819 | 0.1030 | 0.2500 |
| O13 | O | 8g | 8 | 0.2268 | 0.0984 | 0.2500 |
| O14 | O | 8g | 8 | 0.3436 | 0.2799 | 0.2500 |
| Al2 | Al | 16h | 16 | 0.1862 | 0.3999 | 0.0647 |
| Al3 | Al | 16h | 16 | 0.0819 | 0.1030 | 0.0637 |
| Al4 | Al | 16h | 16 | 0.2723 | 0.4016 | 0.9351 |
| Al5 | Al | 16h | 16 | 0.1564 | 0.2201 | 0.9352 |
| O15 | O | 16h | 16 | 0.0404 | 0.1437 | 0.0000 |
| O16 | O | 16h | 16 | 0.2297 | 0.3771 | 0.0000 |
| O17 | O | 16h | 16 | 0.1563 | 0.3227 | 0.0000 |
| O18 | O | 16h | 16 | 0.1954 | 0.1722 | 0.0000 |
| O19 | O | 16h | 16 | 0.1176 | 0.1653 | 0.0000 |
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 216 atoms drawn above are these sites multiplied by all 16 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_oC216_63_f4h_ac3e4g5h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC216, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4c; O: 8e; O: 8e; O: 8e; Al: 8f; O: 8g; O: 8g; O: 8g; O: 8g; Al: 16h; Al: 16h; Al: 16h; Al: 16h; O: 16h; O: 16h; O: 16h; O: 16h; O: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: AlPO₄-8.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_oC216_63_f4h_ac3e4g5h-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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