Crystal Lab › Prototype structures › Monoclinic
α-LiSn
Monoclinic · space group P12/m1 (No. 10) · Pearson mP6
Symmetry elements and Wyckoff positions (interactive)
α-LiSn in P12/m1
SettingUnit cell
- Lattice constants
- a = 8.161 Å, b = 3.180 Å, c = 5.170 Å; α = 90.00°, β = 113.33°, γ = 90.00°
- Cell volume
- 123.2 ų
- Atoms in the conventional cell
- 6 (Li 3, Sn 3)
- Formula units Z
- 3
- Pearson symbol
- mP6 — monoclinic, primitive lattice, 6 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 1b | 1 | 0.0000 | 0.5000 | 0.0000 |
| Sn3 | Sn | 1c | 1 | 0.0000 | 0.0000 | 0.5000 |
| Sn4 | Sn | 2m | 2 | 0.3400 | 0.0000 | 0.0740 |
| Li2 | Li | 2n | 2 | 0.6640 | 0.5000 | 0.4270 |
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 6 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
AB_mP6_10_bn_cm-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP6, then the space-group number 10, then the Wyckoff letters occupied by each element in turn (Li: 1b; Sn: 1c; Sn: 2m; Li: 2n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-LiSn.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_mP6_10_bn_cm-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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