Crystal Lab › Prototype structures › Hexagonal
LiScI₃
Hexagonal · space group P-6c2 (No. 188) · Pearson hP10
Symmetry elements and Wyckoff positions (interactive)
LiScI₃ in P-6c2
SettingUnit cell
- Lattice constants
- a = 7.286 Å, b = 7.286 Å, c = 6.768 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 311.2 ų
- Atoms in the conventional cell
- 10 (Li 2, Sc 2, I 6)
- Formula units Z
- 2
- Pearson symbol
- hP10 — hexagonal / trigonal, primitive lattice, 10 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li2 | Li | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Sc3 | Sc | 2c | 2 | 0.3333 | 0.6667 | 0.0000 |
| I1 | I | 6k | 6 | 0.3292 | 0.3398 | 0.2500 |
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 10 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
A3BC_hP10_188_k_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP10, then the space-group number 188, then the Wyckoff letters occupied by each element in turn (Li: 2a; Sc: 2c; I: 6k). 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 A3BC_hP10_188_k_a_c-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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