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Boropollucite [Cs(Si₂B)O₆]

Cubic · space group Ia-3d (No. 230) · Pearson cI160 · mineral: boropollucite

Symmetry elements and Wyckoff positions (interactive)

Boropollucite [Cs(Si₂B)O₆] in Ia-3d

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

Unit cell

Lattice constants
a = 13.009 Å, b = 13.009 Å, c = 13.009 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2201.6 ų
Atoms in the conventional cell
160 (Cs 16, Si 48, O 96)
Formula units Z
16
Pearson symbol
cI160 — cubic, body-centred lattice, 160 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cs1Cs16b160.12500.12500.1250
Si3Si48g480.12500.33830.9117
O2O96h960.10440.13370.7195

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 160 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

AB6C3_cI160_230_b_h_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI160, then the space-group number 230, then the Wyckoff letters occupied by each element in turn (Cs: 16b; Si: 48g; O: 96h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Boropollucite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C3_cI160_230_b_h_g-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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