Crystal Lab › Prototype structures › Monoclinic
Coesite (SiO₂)
Monoclinic · space group C12/c1 (No. 15) · Pearson mC48 · mineral: coesite
Symmetry elements and Wyckoff positions (interactive)
Coesite (SiO₂) in C12/c1
SettingUnit cell
- Lattice constants
- a = 7.136 Å, b = 12.369 Å, c = 7.118 Å; α = 90.00°, β = 119.56°, γ = 90.00°
- Cell volume
- 546.4 ų
- Atoms in the conventional cell
- 48 (O 32, Si 16)
- Formula units Z
- 16
- Pearson symbol
- mC48 — monoclinic, base-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 4e | 4 | 0.0000 | 0.6163 | 0.2500 |
| O3 | O | 8f | 8 | 0.2340 | 0.6234 | 0.0599 |
| O4 | O | 8f | 8 | 0.1886 | 0.6038 | 0.6718 |
| O5 | O | 8f | 8 | 0.4828 | 0.7117 | 0.5218 |
| Si6 | Si | 8f | 8 | 0.3597 | 0.6083 | 0.9277 |
| Si7 | Si | 8f | 8 | 0.9932 | 0.6580 | 0.4592 |
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 48 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_mC48_15_ae3f_2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC48, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4e; O: 8f; O: 8f; O: 8f; Si: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Coesite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_mC48_15_ae3f_2f-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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