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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al2i20.32530.70410.4581
Al2Al2i20.29740.69880.9504
Al3Al2i20.09980.38610.6404
Al4Al2i20.11200.91750.1647
O10O2i20.12190.63060.6394
O11O2i20.28230.44510.4287
O12O2i20.29160.94680.4657
O13O2i20.50070.27520.2440
O14O2i20.50150.23100.7560
O5O2i20.10930.14690.1287
O6O2i20.12290.68540.1811
O7O2i20.27510.45440.9547
O8O2i20.28350.93570.9357
O9O2i20.10840.15210.6667
Si15Si2i20.29630.06490.7066
Si16Si2i20.29100.33170.1894

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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