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Cu₁₅Si₄ (D8₆)

Cubic · space group I-43d (No. 220) · Pearson cI76 · Strukturbericht D86

Symmetry elements and Wyckoff positions (interactive)

Cu₁₅Si₄ (D8₆) in I-43d

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

Unit cell

Lattice constants
a = 9.718 Å, b = 9.718 Å, c = 9.718 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
917.8 ų
Atoms in the conventional cell
76 (Cu 60, Si 16)
Formula units Z
4
Pearson symbol
cI76 — cubic, body-centred lattice, 76 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu12a120.37500.00000.2500
Si3Si16c160.45800.45800.4580
Cu2Cu48e480.12000.16000.9600

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 76 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

A15B4_cI76_220_ae_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI76, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Cu: 12a; Si: 16c; Cu: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Cu₁₅As₄, Li₁₅Au₄, Li₁₅Ge₄, Li₁₅Si₄, Na₁₅Pb₄ <!--beginning with an

Note: D8₆.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A15B4_cI76_220_ae_c-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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