Crystal Lab › Prototype structures › Tetragonal
β-LiSn
Tetragonal · space group I41/amd (No. 141) · Pearson tI24
Symmetry elements and Wyckoff positions (interactive)
β-LiSn in I41/amd
SettingUnit cell
- Lattice constants
- a = 4.387 Å, b = 4.387 Å, c = 25.511 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 491.0 ų
- Atoms in the conventional cell
- 24 (Li 12, Sn 12)
- Formula units Z
- 12
- Pearson symbol
- tI24 — tetragonal, body-centred lattice, 24 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 4a | 4 | 0.0000 | 0.7500 | 0.1250 |
| Sn3 | Sn | 4b | 4 | 0.0000 | 0.2500 | 0.3750 |
| Li2 | Li | 8e | 8 | 0.0000 | 0.2500 | 0.7070 |
| Sn4 | Sn | 8e | 8 | 0.0000 | 0.2500 | 0.5467 |
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 24 atoms drawn above are these sites multiplied by all 32 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_tI24_141_ae_be-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI24, then the space-group number 141, then the Wyckoff letters occupied by each element in turn (Li: 4a; Sn: 4b; Li: 8e; Sn: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
LiGe <!--beginning with an
Note: \beta-LiSn.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_tI24_141_ae_be-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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