Crystal Lab › Prototype structures › Cubic
Si₄₆ Clathrate
Cubic · space group Pm-3n (No. 223) · Pearson cP46 · mineral: clathrate
Symmetry elements and Wyckoff positions (interactive)
Si₄₆ Clathrate in Pm-3n
SettingUnit cell
- Lattice constants
- a = 10.355 Å, b = 10.355 Å, c = 10.355 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1110.3 ų
- Atoms in the conventional cell
- 46 (Si 46)
- Formula units Z
- 46
- Pearson symbol
- cP46 — cubic, primitive lattice, 46 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Si1 | Si | 6c | 6 | 0.2500 | 0.0000 | 0.5000 |
| Si2 | Si | 16i | 16 | 0.1837 | 0.1837 | 0.1837 |
| Si3 | Si | 24k | 24 | 0.0000 | 0.3077 | 0.1172 |
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 46 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
A_cP46_223_cik-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP46, then the space-group number 223, then the Wyckoff letters occupied by each element in turn (Si: 6c; Si: 16i; Si: 24k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Clathrate.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_cP46_223_cik-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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