Crystal Lab › Prototype structures › Tetragonal
Keatite (SiO₂)
Tetragonal · space group P43212 (No. 96) · Pearson tP36 · mineral: keatite
Symmetry elements and Wyckoff positions (interactive)
Keatite (SiO₂) in P43212
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Si4 | Si | 4a | 4 | 0.4100 | 0.4100 | 0.0000 |
| O1 | O | 8b | 8 | 0.4450 | 0.1320 | 0.4000 |
| O2 | O | 8b | 8 | 0.1170 | 0.1230 | 0.2960 |
| O3 | O | 8b | 8 | 0.3440 | 0.2970 | 0.1430 |
| Si5 | Si | 8b | 8 | 0.3260 | 0.1200 | 0.2480 |
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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