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Si₄₆ Clathrate

Cubic · space group Pm-3n (No. 223) · Pearson cP46 · mineral: clathrate

Symmetry elements and Wyckoff positions (interactive)

Si₄₆ Clathrate in Pm-3n

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

Unit cell

Lattice constants
a = 10.355 Å, b = 10.355 Å, c = 10.355 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1110.3 ų
Atoms in the conventional cell
46 (Si 46)
Formula units Z
46
Pearson symbol
cP46 — cubic, primitive lattice, 46 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si1Si6c60.25000.00000.5000
Si2Si16i160.18370.18370.1837
Si3Si24k240.00000.30770.1172

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 46 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

A_cP46_223_cik-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP46, then the space-group number 223, then the Wyckoff letters occupied by each element in turn (Si: 6c; Si: 16i; Si: 24k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Clathrate.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_cP46_223_cik-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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