Skip to content

Crystal Lab › Prototype structures › Trigonal

β-CuZrF₆ CuF₆Zr

Trigonal · space group R-3 (No. 148) · Pearson hR8

Symmetry elements and Wyckoff positions (interactive)

β-CuZrF₆ in R-3

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

Unit cell

Lattice constants
a = 5.535 Å, b = 5.535 Å, c = 13.891 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
368.5 ų
Atoms in the conventional cell
24 (Cu 3, Zr 3, F 18)
Formula units Z
3
Pearson symbol
hR8 — hexagonal / trigonal, rhombohedral lattice, 8 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu3a30.00000.00000.0000
Zr3Zr3b30.00000.00000.5000
F2F18f180.55290.99910.7498

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 24 atoms drawn above are these sites multiplied by all 18 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

AB6C_hR8_148_a_f_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR8, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Cu: 3a; Zr: 3b; F: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-CuZrF₆.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C_hR8_148_a_f_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.

← BaMo₆S₈  ·  Space group R-3 (27 prototypes)  ·  All prototypes  ·  Trechmannite (AgAsS₂) →