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Pt₃Zn₁₀

Cubic · space group F-43m (No. 216) · Pearson cF392

Symmetry elements and Wyckoff positions (interactive)

Pt₃Zn₁₀ in F-43m

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

Unit cell

Lattice constants
a = 18.113 Å, b = 18.113 Å, c = 18.113 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
5942.3 ų
Atoms in the conventional cell
392 (Pt 112, Zn 280)
Formula units Z
56
Pearson symbol
cF392 — cubic, face-centred lattice, 392 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pt1Pt16e160.66040.66040.6604
Pt2Pt16e160.18500.18500.1850
Pt3Pt16e160.91110.91110.9111
Pt4Pt16e160.41550.41550.4155
Zn10Zn16e160.57510.57510.5751
Zn7Zn16e160.80770.80770.8077
Zn8Zn16e160.30060.30060.3006
Zn9Zn16e160.05240.05240.0524
Pt5Pt24f240.17960.00000.0000
Zn11Zn24f240.67630.00000.0000
Pt6Pt24g240.43060.25000.2500
Zn12Zn48h480.40500.40500.7716
Zn13Zn48h480.39990.39990.2704
Zn14Zn48h480.65650.65650.0201
Zn15Zn48h480.66120.66120.5091

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 392 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

A2B5_cF392_216_4efg_4ef4h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF392, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Pt: 16e; Pt: 16e; Pt: 16e; Pt: 16e; Zn: 16e; Zn: 16e; Zn: 16e; Zn: 16e; Pt: 24f; Zn: 24f; Pt: 24g; Zn: 48h; Zn: 48h; Zn: 48h; Zn: 48h). 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 A2B5_cF392_216_4efg_4ef4h-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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