Crystal Lab › Prototype structures › Trigonal
LaLi₃Sb₂
Trigonal · space group P-3m1 (No. 164) · Pearson hP6
Symmetry elements and Wyckoff positions (interactive)
LaLi₃Sb₂ in P-3m1
SettingUnit cell
- Lattice constants
- a = 4.619 Å, b = 4.619 Å, c = 7.445 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 137.6 ų
- Atoms in the conventional cell
- 6 (La 1, Li 3, Sb 2)
- Formula units Z
- 1
- Pearson symbol
- hP6 — hexagonal / trigonal, primitive lattice, 6 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| La1 | La | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Li3 | Li | 2d | 2 | 0.3333 | 0.6667 | 0.6580 |
| Sb4 | Sb | 2d | 2 | 0.3333 | 0.6667 | 0.2577 |
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 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
AB3C2_hP6_164_a_bd_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP6, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (La: 1a; Li: 1b; Li: 2d; Sb: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CeLi₃Bi₂, CeLi₃Sb₂, DyLi₃Sb₂, GdLi₃Bi₂, HoLi₃Sb₂, LaLi₃As₂, LaLi₃Bi₂, LaLi₃P₂, NdLi₃As₂, NdLi₃Bi₂, NdLi₃Sb₂, PrLi₃Bi₂, PrLi₃Sb₂, SmLi₃Bi₂, SmLi₃Sb₂, TbLi₃Bi₂, YLi₃Bi₂, YLi₃Sb₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2_hP6_164_a_bd_d-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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