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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Sb2Sb1a10.00000.00000.0000
K1K1b10.00000.00000.5000
V4V3f30.50000.00000.0000
Sb3Sb4h40.33330.66670.7468

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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