Crystal Lab › Prototype structures › Hexagonal
LiKSO₄ (H1₄)
Hexagonal · space group P63 (No. 173) · Pearson hP14 · Strukturbericht H14
Symmetry elements and Wyckoff positions (interactive)
LiKSO₄ (H1₄) in P63
SettingUnit cell
- Lattice constants
- a = 5.146 Å, b = 5.146 Å, c = 8.636 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 198.1 ų
- Atoms in the conventional cell
- 14 (K 2, Li 2, O 8, S 2)
- Formula units Z
- 2
- Pearson symbol
- hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K1 | K | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 2b | 2 | 0.3333 | 0.6667 | 0.3146 |
| O3 | O | 2b | 2 | 0.3333 | 0.6667 | 0.5358 |
| S5 | S | 2b | 2 | 0.3333 | 0.6667 | 0.7045 |
| O4 | O | 6c | 6 | 0.3446 | 0.4031 | 0.7583 |
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 14 atoms drawn above are these sites multiplied by all 6 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
ABC4D_hP14_173_a_b_bc_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP14, then the space-group number 173, then the Wyckoff letters occupied by each element in turn (K: 2a; Li: 2b; O: 2b; S: 2b; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: H1₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4D_hP14_173_a_b_bc_b-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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