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Ideal β-Cristobalite (SiO₂, C9)

Cubic · space group Fd-3m (No. 227) · Pearson cF24 · Strukturbericht C9 · mineral: cristobalite

Symmetry elements and Wyckoff positions (interactive)

Ideal β-Cristobalite (SiO₂, C9) in Fd-3m

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

Unit cell

Lattice constants
a = 7.166 Å, b = 7.166 Å, c = 7.166 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
368.0 ų
Atoms in the conventional cell
24 (Si 8, O 16)
Formula units Z
8
Pearson symbol
cF24 — cubic, face-centred lattice, 24 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si2Si8a80.12500.12500.1250
O1O16c160.00000.00000.0000

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 24 atoms drawn above are these sites multiplied by all 192 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

A2B_cF24_227_c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF24, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Si: 8a; O: 16c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BeF₂, AlPO₄ <!--beginning with an

Note: C9, \beta-Cristobalite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_cF24_227_c_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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