Crystal Lab › Prototype structures › Monoclinic
Monoclinic AlPO₄-53(C)
Monoclinic · space group C121 (No. 5) · Pearson mC72
Symmetry elements and Wyckoff positions (interactive)
Monoclinic AlPO₄-53(C) in C121
SettingUnit cell
- Lattice constants
- a = 16.444 Å, b = 5.107 Å, c = 13.485 Å; α = 90.00°, β = 88.26°, γ = 90.00°
- Cell volume
- 1132.0 ų
- Atoms in the conventional cell
- 72 (Al 12, O 48, P 12)
- Formula units Z
- 12
- Pearson symbol
- mC72 — monoclinic, base-centred lattice, 72 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4c | 4 | 0.5446 | 0.0478 | 0.7651 |
| Al2 | Al | 4c | 4 | 0.6735 | 0.6033 | 0.0809 |
| Al3 | Al | 4c | 4 | 0.8534 | 0.0864 | 0.5358 |
| O4 | O | 4c | 4 | 0.6349 | 0.0711 | 0.6963 |
| O5 | O | 4c | 4 | 0.5138 | 0.7092 | 0.7546 |
| O6 | O | 4c | 4 | 0.9580 | 0.7281 | 0.7539 |
| O7 | O | 4c | 4 | 0.5733 | 0.1236 | 0.8966 |
| O8 | O | 4c | 4 | 0.6328 | 0.6291 | 0.1969 |
| O9 | O | 4c | 4 | 0.5805 | 0.6367 | 0.3735 |
| O10 | O | 4c | 4 | 0.6254 | 0.3573 | 0.5493 |
| O11 | O | 4c | 4 | 0.6303 | 0.9071 | 0.5123 |
| O12 | O | 4c | 4 | 0.7587 | 0.0748 | 0.5905 |
| O13 | O | 4c | 4 | 0.6330 | 0.8209 | 0.0003 |
| O14 | O | 4c | 4 | 0.6421 | 0.2643 | 0.0622 |
| O15 | O | 4c | 4 | 0.7772 | 0.6215 | 0.0998 |
| P16 | P | 4c | 4 | 0.5631 | 0.5297 | 0.2636 |
| P17 | P | 4c | 4 | 0.6660 | 0.0941 | 0.5898 |
| P18 | P | 4c | 4 | 0.8556 | 0.6198 | 0.0387 |
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 72 atoms drawn above are these sites multiplied by all 4 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_mC72_5_3c_12c_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC72, then the space-group number 5, then the Wyckoff letters occupied by each element in turn (Al: 4c; Al: 4c; Al: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; P: 4c; P: 4c; P: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: AlPO₄-53(C).
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mC72_5_3c_12c_3c-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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