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Crystal Lab › Prototype structures › Tetragonal

α-Cristobalite (SiO₂, low, C30)

Tetragonal · space group P41212 (No. 92) · Pearson tP12 · Strukturbericht C30 · mineral: low (α) cristobalite

Symmetry elements and Wyckoff positions (interactive)

α-Cristobalite (SiO₂, low, C30) in P41212

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

Unit cell

Lattice constants
a = 4.957 Å, b = 4.957 Å, c = 6.890 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
169.3 ų
Atoms in the conventional cell
12 (Si 4, O 8)
Formula units Z
4
Pearson symbol
tP12 — tetragonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si1Si4a40.30470.30470.0000
O2O8b80.23810.11090.1826

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 12 atoms drawn above are these sites multiplied by all 8 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_tP12_92_b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP12, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (Si: 4a; O: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BeF₂ <!--beginning with an

Note: C30 Cristobalite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tP12_92_b_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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