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Crystal Lab › Prototype structures › Orthorhombic

Orthorhombic Tridymite (SiO₂)

Orthorhombic · space group P212121 (No. 19) · Pearson oP72 · mineral: tridymite

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic Tridymite (SiO₂) in P212121

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

Unit cell

Lattice constants
a = 26.163 Å, b = 4.987 Å, c = 8.199 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1069.8 ų
Atoms in the conventional cell
72 (O 48, Si 24)
Formula units Z
24
Pearson symbol
oP72 — orthorhombic, primitive lattice, 72 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O10O4a40.15720.75400.1990
O1O4a40.19350.05800.9860
O11O4a40.98930.41800.7270
O12O4a40.99110.25100.2150
O2O4a40.14030.56500.4900
O3O4a40.02990.56800.0010
O4O4a40.08250.56300.7430
O5O4a40.08230.42800.2410
O6O4a40.24840.91400.2340
O7O4a40.17620.41200.7650
O8O4a40.17540.25300.2750
O9O4a40.15640.91000.7150
Si13Si4a40.13900.61120.6786
Si14Si4a40.13930.49570.3012
Si15Si4a40.02780.61800.8118
Si16Si4a40.02820.50190.1843
Si17Si4a40.19460.11310.8013
Si18Si4a40.19450.99540.1740

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 72 atoms drawn above are these sites multiplied by all 4 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_oP72_19_12a_6a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP72, then the space-group number 19, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; Si: 4a; Si: 4a; Si: 4a; Si: 4a; Si: 4a; Si: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_oP72_19_12a_6a-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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