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Keatite (SiO₂)

Tetragonal · space group P43212 (No. 96) · Pearson tP36 · mineral: keatite

Symmetry elements and Wyckoff positions (interactive)

Keatite (SiO₂) in P43212

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

Unit cell

Lattice constants
a = 7.464 Å, b = 7.464 Å, c = 8.620 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
480.2 ų
Atoms in the conventional cell
36 (Si 12, O 24)
Formula units Z
12
Pearson symbol
tP36 — tetragonal, primitive lattice, 36 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si4Si4a40.41000.41000.0000
O1O8b80.44500.13200.4000
O2O8b80.11700.12300.2960
O3O8b80.34400.29700.1430
Si5Si8b80.32600.12000.2480

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 36 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_tP36_96_3b_ab-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP36, then the space-group number 96, then the Wyckoff letters occupied by each element in turn (Si: 4a; O: 8b; O: 8b; O: 8b; Si: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Keatite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tP36_96_3b_ab-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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