Crystal Lab › Prototype structures › Hexagonal
KV₃Sb₅
Hexagonal · space group P6/mmm (No. 191) · Pearson hP9
Symmetry elements and Wyckoff positions (interactive)
KV₃Sb₅ in P6/mmm
SettingUnit cell
- Lattice constants
- a = 5.472 Å, b = 5.472 Å, c = 8.944 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 231.9 ų
- Atoms in the conventional cell
- 9 (Sb 5, K 1, V 3)
- Formula units Z
- 1
- Pearson symbol
- hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Sb2 | Sb | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| K1 | K | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| V4 | V | 3f | 3 | 0.5000 | 0.0000 | 0.0000 |
| Sb3 | Sb | 4h | 4 | 0.3333 | 0.6667 | 0.7468 |
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 9 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
AB5C3_hP9_191_b_ah_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (Sb: 1a; K: 1b; V: 3f; Sb: 4h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CsTi₃Bi₅, CsV₃Sb₅, RbV₃Sb₅ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB5C3_hP9_191_b_ah_f-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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