Crystal Lab › Prototype structures › Triclinic
Kyanite (Al₂SiO₅, S0₁)
Triclinic · space group P-1 (No. 2) · Pearson aP32 · Strukturbericht S01 · mineral: kyanite
Symmetry elements and Wyckoff positions (interactive)
Kyanite (Al₂SiO₅, S0₁) in P-1
SettingUnit cell
- Lattice constants
- a = 7.120 Å, b = 7.848 Å, c = 5.574 Å; α = 89.97°, β = 101.18°, γ = 106.00°
- Cell volume
- 293.2 ų
- Atoms in the conventional cell
- 32 (Al 8, O 20, Si 4)
- Formula units Z
- 4
- Pearson symbol
- aP32 — triclinic, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2i | 2 | 0.3253 | 0.7041 | 0.4581 |
| Al2 | Al | 2i | 2 | 0.2974 | 0.6988 | 0.9504 |
| Al3 | Al | 2i | 2 | 0.0998 | 0.3861 | 0.6404 |
| Al4 | Al | 2i | 2 | 0.1120 | 0.9175 | 0.1647 |
| O10 | O | 2i | 2 | 0.1219 | 0.6306 | 0.6394 |
| O11 | O | 2i | 2 | 0.2823 | 0.4451 | 0.4287 |
| O12 | O | 2i | 2 | 0.2916 | 0.9468 | 0.4657 |
| O13 | O | 2i | 2 | 0.5007 | 0.2752 | 0.2440 |
| O14 | O | 2i | 2 | 0.5015 | 0.2310 | 0.7560 |
| O5 | O | 2i | 2 | 0.1093 | 0.1469 | 0.1287 |
| O6 | O | 2i | 2 | 0.1229 | 0.6854 | 0.1811 |
| O7 | O | 2i | 2 | 0.2751 | 0.4544 | 0.9547 |
| O8 | O | 2i | 2 | 0.2835 | 0.9357 | 0.9357 |
| O9 | O | 2i | 2 | 0.1084 | 0.1521 | 0.6667 |
| Si15 | Si | 2i | 2 | 0.2963 | 0.0649 | 0.7066 |
| Si16 | Si | 2i | 2 | 0.2910 | 0.3317 | 0.1894 |
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 32 atoms drawn above are these sites multiplied by all 2 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
A2B5C_aP32_2_4i_10i_2i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP32, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Al: 2i; Al: 2i; Al: 2i; Al: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; Si: 2i; Si: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S0₁, Kyanite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B5C_aP32_2_4i_10i_2i-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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