Skip to content

Crystal Lab › Prototype structures › Trigonal

CaSi₂ (C12)

Trigonal · space group R-3m (No. 166) · Pearson hR6 · Strukturbericht C12

Symmetry elements and Wyckoff positions (interactive)

CaSi₂ (C12) in R-3m

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

Unit cell

Lattice constants
a = 3.855 Å, b = 3.855 Å, c = 30.661 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
394.6 ų
Atoms in the conventional cell
18 (Ca 6, Si 12)
Formula units Z
6
Pearson symbol
hR6 — hexagonal / trigonal, rhombohedral lattice, 6 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca6c60.00000.00000.5830
Si2Si6c60.00000.00000.6830
Si3Si6c60.00000.00000.8500

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 18 atoms drawn above are these sites multiplied by all 36 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

AB2_hR6_166_c_2c-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR6, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ca: 6c; Si: 6c; Si: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CaGe₂ <!--beginning with an

Note: C12.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hR6_166_c_2c-002 (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.

← CdCl₂  ·  Space group R-3m (75 prototypes)  ·  All prototypes  ·  Y₂Rh₃Ga →