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Crystal Lab › Prototype structures › Trigonal

β-CuI (Sakuma)

Trigonal · space group P3m1 (No. 156) · Pearson hP4

Symmetry elements and Wyckoff positions (interactive)

β-CuI (Sakuma) in P3m1

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

Unit cell

Lattice constants
a = 4.279 Å, b = 4.279 Å, c = 7.168 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
113.7 ų
Atoms in the conventional cell
4 (Cu 2, I 2)
Formula units Z
2
Pearson symbol
hP4 — hexagonal / trigonal, primitive lattice, 4 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu1a10.00000.00000.6360
I3I1a10.00000.00000.0000
Cu2Cu1b10.33330.66670.8960
I4I1b10.33330.66670.5000

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 4 atoms drawn above are these sites multiplied by all 6 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

AB_hP4_156_ab_ab-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP4, then the space-group number 156, then the Wyckoff letters occupied by each element in turn (Cu: 1a; I: 1a; Cu: 1b; I: 1b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-CuI (Sakuma).

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hP4_156_ab_ab-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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