Crystal Lab › Prototype structures › Hexagonal
CrSi₂ (C40)
Hexagonal · space group P6222 (No. 180) · Pearson hP9 · Strukturbericht C40
Symmetry elements and Wyckoff positions (interactive)
CrSi₂ (C40) in P6222
SettingUnit cell
- Lattice constants
- a = 4.428 Å, b = 4.428 Å, c = 6.368 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 108.1 ų
- Atoms in the conventional cell
- 9 (Cr 3, Si 6)
- Formula units Z
- 3
- Pearson symbol
- hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 3c | 3 | 0.5000 | 0.0000 | 0.0000 |
| Si2 | Si | 6i | 6 | 0.1656 | 0.3312 | 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 9 atoms drawn above are these sites multiplied by all 12 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_hP9_180_c_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 180, then the Wyckoff letters occupied by each element in turn (Cr: 3c; Si: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
HfSn₂, MoSi₂, NbGe₂, TaGe₂, TaSi₂, VGe₂, VSi₂, WSi₂ <!--beginning with an
Note: C40.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP9_180_c_i-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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