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Ga₃Ni₃Zn

Cubic · space group Ia-3d (No. 230) · Pearson cI112

Symmetry elements and Wyckoff positions (interactive)

Ga₃Ni₃Zn in Ia-3d

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

Unit cell

Lattice constants
a = 11.430 Å, b = 11.430 Å, c = 11.430 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1493.3 ų
Atoms in the conventional cell
112 (Zn 16, Ga 48, Ni 48)
Formula units Z
16
Pearson symbol
cI112 — cubic, body-centred lattice, 112 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zn3Zn16a160.00000.00000.0000
Ga1Ga48f480.01240.00000.2500
Ni2Ni48g480.12500.36660.8834

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 112 atoms drawn above are these sites multiplied by all 96 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

A3B3C_cI112_230_f_g_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI112, then the space-group number 230, then the Wyckoff letters occupied by each element in turn (Zn: 16a; Ga: 48f; Ni: 48g). 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 A3B3C_cI112_230_f_g_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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