Crystal Lab › Prototype structures › Hexagonal
High-temperature LiBH₄ structure: AB4C_hP12_186_b_bc_b-002 BH₄Li
Hexagonal · space group P63mc (No. 186) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
High-temperature LiBH₄ structure: AB4C_hP12_186_b_bc_b-002 in P63mc
SettingUnit cell
- Lattice constants
- a = 4.276 Å, b = 4.276 Å, c = 6.984 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 110.6 ų
- Atoms in the conventional cell
- 12 (B 2, H 8, Li 2)
- Formula units Z
- 2
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 2b | 2 | 0.3333 | 0.6667 | 0.5530 |
| H2 | H | 2b | 2 | 0.3333 | 0.6667 | 0.3700 |
| Li3 | Li | 2b | 2 | 0.3333 | 0.6667 | 0.0000 |
| H4 | H | 6c | 6 | 0.1720 | 0.8280 | 0.6420 |
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 12 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
AB4C_hP12_186_b_bc_b-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (B: 2b; H: 2b; Li: 2b; H: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP12_186_b_bc_b-002 (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.
← Hexagonal high-temperature tridymite AlPO₄: AB4C_hP12_186_b_bc_b-001 — AlO₄P · Space group P63mc (26 prototypes) · All prototypes · LiClO₄cdot3H₂O (H4₁₈) →