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Crystal Lab › Prototype structures › Orthorhombic

Topaz (Al₂SiO₄F₂, S0₅)

Orthorhombic · space group Pnma (No. 62) · Pearson oP36 · Strukturbericht S05 · mineral: topaz

Symmetry elements and Wyckoff positions (interactive)

Topaz (Al₂SiO₄F₂, S0₅) in Pnma

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

Unit cell

Lattice constants
a = 8.793 Å, b = 8.396 Å, c = 4.649 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
343.2 ų
Atoms in the conventional cell
36 (O 16, Si 4, Al 8, F 8)
Formula units Z
4
Pearson symbol
oP36 — orthorhombic, primitive lattice, 36 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O3O4c40.46800.25000.7957
O4O4c40.24360.25000.4566
Si6Si4c40.55950.25000.1022
Al1Al8d80.63100.58240.4036
F2F8d80.75270.55740.0981
O5O8d80.48930.59230.7110

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

A2B2C4D_oP36_62_d_d_2cd_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP36, then the space-group number 62, then the Wyckoff letters occupied by each element in turn (O: 4c; O: 4c; Si: 4c; Al: 8d; F: 8d; O: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Al₂SiO₄(F, OH)₂ <!--beginning with an

Note: S0₅, Topaz.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2C4D_oP36_62_d_d_2cd_c-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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