Crystal Lab › Prototype structures › Trigonal
MoP₃SiO₁₁ (Rhombohedral Model)
Trigonal · space group R-3c (No. 167) · Pearson hR64
Symmetry elements and Wyckoff positions (interactive)
MoP₃SiO₁₁ (Rhombohedral Model) in R-3c
SettingUnit cell
- Lattice constants
- a = 8.418 Å, b = 8.418 Å, c = 39.962 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 2452.1 ų
- Atoms in the conventional cell
- 192 (O 132, Mo 12, Si 12, P 36)
- Formula units Z
- 12
- Pearson symbol
- hR64 — hexagonal / trigonal, rhombohedral lattice, 64 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O2 | O | 6b | 6 | 0.0000 | 0.0000 | 0.0000 |
| Mo1 | Mo | 12c | 12 | 0.0000 | 0.0000 | 0.1592 |
| Si8 | Si | 12c | 12 | 0.0000 | 0.0000 | 0.4602 |
| O3 | O | 18e | 18 | 0.2133 | 0.0000 | 0.2500 |
| O4 | O | 36f | 36 | 0.8643 | 0.4845 | 0.7799 |
| O5 | O | 36f | 36 | 0.1859 | 0.7418 | 0.7937 |
| O6 | O | 36f | 36 | 0.9079 | 0.7692 | 0.8102 |
| P7 | P | 36f | 36 | 0.9952 | 0.6998 | 0.7860 |
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 192 atoms drawn above are these sites multiplied by all 36 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
AB11C3D_hR64_167_c_be3f_f_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR64, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (O: 6b; Mo: 12c; Si: 12c; O: 18e; O: 36f; O: 36f; O: 36f; P: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Rhombohedral Model.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB11C3D_hR64_167_c_be3f_f_c-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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