Skip to content

Crystal Lab › Prototype structures › Cubic

γ-Brass (Cu₅Zn₈, D8₂)

Cubic · space group I-43m (No. 217) · Pearson cI52 · Strukturbericht D82 · mineral: gamma-brass

Symmetry elements and Wyckoff positions (interactive)

γ-Brass (Cu₅Zn₈, D8₂) in I-43m

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

Unit cell

Lattice constants
a = 8.866 Å, b = 8.866 Å, c = 8.866 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
697.0 ų
Atoms in the conventional cell
52 (Cu 20, Zn 32)
Formula units Z
4
Pearson symbol
cI52 — cubic, body-centred lattice, 52 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu8c80.32770.32770.3277
Zn3Zn8c80.10780.10780.1078
Cu2Cu12e120.64420.00000.0000
Zn4Zn24g240.18840.18840.5367

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 52 atoms drawn above are these sites multiplied by all 48 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

A5B8_cI52_217_ce_cg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI52, then the space-group number 217, then the Wyckoff letters occupied by each element in turn (Cu: 8c; Zn: 8c; Cu: 12e; Zn: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Cu_{x}Zn_{1-x}, Cu_{x}Cd_{1-x}, Fe_{x}Zn_{1-x} <!--beginning with an

Note: D8₂, \gamma-Brass.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B8_cI52_217_ce_cg-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.

← SiF₄ (D1₂)  ·  Space group I-43m (8 prototypes)  ·  All prototypes  ·  Theoretical cI16 AlN →