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Er₂Co₇

Trigonal · space group R-3m (No. 166) · Pearson hR18

Symmetry elements and Wyckoff positions (interactive)

Er₂Co₇ in R-3m

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

Unit cell

Lattice constants
a = 4.973 Å, b = 4.973 Å, c = 36.110 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
773.4 ų
Atoms in the conventional cell
54 (Co 42, Er 12)
Formula units Z
6
Pearson symbol
hR18 — hexagonal / trigonal, rhombohedral lattice, 18 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co3a30.00000.00000.0000
Co2Co6c60.00000.00000.2220
Co3Co6c60.00000.00000.1120
Er6Er6c60.00000.00000.4480
Er7Er6c60.00000.00000.3540
Co4Co9d90.50000.00000.5000
Co5Co18h180.50000.50000.3890

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 54 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

A7B2_hR18_166_a2cdh_2c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR18, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Co: 3a; Co: 6c; Co: 6c; Er: 6c; Er: 6c; Co: 9d; Co: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Dy₂Co₇, Er₂Ni₇, Gd₂Co₇, Gd₂Ni₇, Ho₂Co₇, La₂Ni₇, Lu₂Co₇, Tb₂Co₇, Th₂Fe₇, Th₂Ni₇, Tm₂Co₇, Y₂Co₇, Y₂Ni₇ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B2_hR18_166_a2cdh_2c-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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