Crystal Lab › Prototype structures › Monoclinic
Monoclinic tridymite (473K) AlPO₄
Monoclinic · space group P1211 (No. 4) · Pearson mP12
Symmetry elements and Wyckoff positions (interactive)
Monoclinic tridymite (473K) AlPO₄ in P1211
SettingUnit cell
- Lattice constants
- a = 5.075 Å, b = 8.301 Å, c = 5.080 Å; α = 90.00°, β = 119.63°, γ = 90.00°
- Cell volume
- 186.0 ų
- Atoms in the conventional cell
- 12 (Al 2, O 8, P 2)
- Formula units Z
- 2
- Pearson symbol
- mP12 — monoclinic, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2a | 2 | 0.3639 | 0.0625 | 0.6461 |
| O2 | O | 2a | 2 | 0.3327 | 0.2621 | 0.6654 |
| O3 | O | 2a | 2 | 0.0220 | 0.9774 | 0.4550 |
| O4 | O | 2a | 2 | 0.5490 | 0.9837 | 0.9930 |
| O5 | O | 2a | 2 | 0.5590 | 0.0247 | 0.4650 |
| P6 | P | 2a | 2 | 0.3018 | 0.4371 | 0.6863 |
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 12 atoms drawn above are these sites multiplied by all 2 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_mP12_4_a_4a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP12, then the space-group number 4, then the Wyckoff letters occupied by each element in turn (Al: 2a; O: 2a; O: 2a; O: 2a; O: 2a; P: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Tridymite 473K.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mP12_4_a_4a_a-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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