Crystal Lab › Prototype structures › Trigonal
Er₂Co₇
Trigonal · space group R-3m (No. 166) · Pearson hR18
Symmetry elements and Wyckoff positions (interactive)
Er₂Co₇ in R-3m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Co2 | Co | 6c | 6 | 0.0000 | 0.0000 | 0.2220 |
| Co3 | Co | 6c | 6 | 0.0000 | 0.0000 | 0.1120 |
| Er6 | Er | 6c | 6 | 0.0000 | 0.0000 | 0.4480 |
| Er7 | Er | 6c | 6 | 0.0000 | 0.0000 | 0.3540 |
| Co4 | Co | 9d | 9 | 0.5000 | 0.0000 | 0.5000 |
| Co5 | Co | 18h | 18 | 0.5000 | 0.5000 | 0.3890 |
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.
← Ce₇Ga₁₁Rh₁₈ · Space group R-3m (75 prototypes) · All prototypes · Fe₇W₆ (D8₅) μ-phase →