Crystal Lab › Prototype structures › Hexagonal
BaLi₄
Hexagonal · space group P63/mmc (No. 194) · Pearson hP30
Symmetry elements and Wyckoff positions (interactive)
BaLi₄ in P63/mmc
SettingUnit cell
- Lattice constants
- a = 10.936 Å, b = 10.936 Å, c = 8.943 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 926.3 ų
- Atoms in the conventional cell
- 30 (Li 24, Ba 6)
- Formula units Z
- 6
- Pearson symbol
- hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li2 | Li | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Li3 | Li | 4f | 4 | 0.3333 | 0.6667 | 0.5850 |
| Ba1 | Ba | 6h | 6 | 0.4719 | 0.9438 | 0.2500 |
| Li4 | Li | 6h | 6 | 0.0986 | 0.1972 | 0.2500 |
| Li5 | Li | 12k | 12 | 0.1645 | 0.3290 | 0.5660 |
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 30 atoms drawn above are these sites multiplied by all 24 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
AB4_hP30_194_h_afhk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Li: 2a; Li: 4f; Ba: 6h; Li: 6h; Li: 12k). 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 AB4_hP30_194_h_afhk-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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