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Crystal Lab › Prototype structures › Hexagonal

CsCuCl₃

Hexagonal · space group P6122 (No. 178) · Pearson hP30

Symmetry elements and Wyckoff positions (interactive)

CsCuCl₃ in P6122

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

Unit cell

Lattice constants
a = 7.218 Å, b = 7.218 Å, c = 18.183 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
820.4 ų
Atoms in the conventional cell
30 (Cu 6, Cl 18, Cs 6)
Formula units Z
6
Pearson symbol
hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu4Cu6a60.06440.00000.0000
Cl1Cl6b60.88960.77920.2500
Cs3Cs6b60.35500.71000.2500
Cl2Cl12c120.35760.21190.2424

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 30 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_hP30_178_bc_b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 178, then the Wyckoff letters occupied by each element in turn (Cu: 6a; Cl: 6b; Cs: 6b; Cl: 12c). 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_hP30_178_bc_b_a-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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