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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O10 | O | 4a | 4 | 0.1572 | 0.7540 | 0.1990 |
| O1 | O | 4a | 4 | 0.1935 | 0.0580 | 0.9860 |
| O11 | O | 4a | 4 | 0.9893 | 0.4180 | 0.7270 |
| O12 | O | 4a | 4 | 0.9911 | 0.2510 | 0.2150 |
| O2 | O | 4a | 4 | 0.1403 | 0.5650 | 0.4900 |
| O3 | O | 4a | 4 | 0.0299 | 0.5680 | 0.0010 |
| O4 | O | 4a | 4 | 0.0825 | 0.5630 | 0.7430 |
| O5 | O | 4a | 4 | 0.0823 | 0.4280 | 0.2410 |
| O6 | O | 4a | 4 | 0.2484 | 0.9140 | 0.2340 |
| O7 | O | 4a | 4 | 0.1762 | 0.4120 | 0.7650 |
| O8 | O | 4a | 4 | 0.1754 | 0.2530 | 0.2750 |
| O9 | O | 4a | 4 | 0.1564 | 0.9100 | 0.7150 |
| Si13 | Si | 4a | 4 | 0.1390 | 0.6112 | 0.6786 |
| Si14 | Si | 4a | 4 | 0.1393 | 0.4957 | 0.3012 |
| Si15 | Si | 4a | 4 | 0.0278 | 0.6180 | 0.8118 |
| Si16 | Si | 4a | 4 | 0.0282 | 0.5019 | 0.1843 |
| Si17 | Si | 4a | 4 | 0.1946 | 0.1131 | 0.8013 |
| Si18 | Si | 4a | 4 | 0.1945 | 0.9954 | 0.1740 |
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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