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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O3 | O | 4c | 4 | 0.4680 | 0.2500 | 0.7957 |
| O4 | O | 4c | 4 | 0.2436 | 0.2500 | 0.4566 |
| Si6 | Si | 4c | 4 | 0.5595 | 0.2500 | 0.1022 |
| Al1 | Al | 8d | 8 | 0.6310 | 0.5824 | 0.4036 |
| F2 | F | 8d | 8 | 0.7527 | 0.5574 | 0.0981 |
| O5 | O | 8d | 8 | 0.4893 | 0.5923 | 0.7110 |
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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