Skip to content

Crystal Lab › Prototype structures › Trigonal

Rhombohedral CuPt (L1₁)

Trigonal · space group R-3m (No. 166) · Pearson hR2 · Strukturbericht L11

Symmetry elements and Wyckoff positions (interactive)

Rhombohedral CuPt (L1₁) in R-3m

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

Unit cell

Lattice constants
a = 3.130 Å, b = 3.130 Å, c = 14.980 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
127.1 ų
Atoms in the conventional cell
6 (Cu 3, Pt 3)
Formula units Z
3
Pearson symbol
hR2 — hexagonal / trigonal, rhombohedral lattice, 2 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu3a30.00000.00000.0000
Pt2Pt3b30.00000.00000.5000

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 6 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

AB_hR2_166_a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR2, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Cu: 3a; Pt: 3b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: L1₁.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hR2_166_a_b-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.

← YOF  ·  Space group R-3m (75 prototypes)  ·  All prototypes  ·  KSH (B22) →