Crystal Lab › Prototype structures › Trigonal
Mn₃Si₂Te₆
Trigonal · space group P-31c (No. 163) · Pearson hP22
Symmetry elements and Wyckoff positions (interactive)
Mn₃Si₂Te₆ in P-31c
SettingUnit cell
- Lattice constants
- a = 7.029 Å, b = 7.029 Å, c = 14.255 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 609.9 ų
- Atoms in the conventional cell
- 22 (Mn 6, Si 4, Te 12)
- Formula units Z
- 2
- Pearson symbol
- hP22 — hexagonal / trigonal, primitive lattice, 22 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mn1 | Mn | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| Si3 | Si | 4e | 4 | 0.0000 | 0.0000 | 0.0815 |
| Mn2 | Mn | 4f | 4 | 0.3333 | 0.6667 | 0.0007 |
| Te4 | Te | 12i | 12 | 0.6587 | 0.0036 | 0.1279 |
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 22 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
A3B2C6_hP22_163_cf_e_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP22, then the space-group number 163, then the Wyckoff letters occupied by each element in turn (Mn: 2c; Si: 4e; Mn: 4f; Te: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C6_hP22_163_cf_e_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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