Crystal Lab › Prototype structures › Trigonal
YbFe₂O₄
Trigonal · space group R-3m (No. 166) · Pearson hR7
Symmetry elements and Wyckoff positions (interactive)
YbFe₂O₄ in R-3m
SettingUnit cell
- Lattice constants
- a = 3.455 Å, b = 3.455 Å, c = 25.054 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 259.0 ų
- Atoms in the conventional cell
- 21 (Yb 3, Fe 6, O 12)
- Formula units Z
- 3
- Pearson symbol
- hR7 — hexagonal / trigonal, rhombohedral lattice, 7 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Yb4 | Yb | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Fe1 | Fe | 6c | 6 | 0.0000 | 0.0000 | 0.2150 |
| O2 | O | 6c | 6 | 0.0000 | 0.0000 | 0.1292 |
| O3 | O | 6c | 6 | 0.0000 | 0.0000 | 0.2925 |
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 21 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
A2B4C_hR7_166_c_2c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR7, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Yb: 3a; Fe: 6c; O: 6c; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
LuFe₂O{4}, TmFe₂O{4}, InAlCuO₄, InFe₂O₄, InGaMgO₄, InGaMnO₄, InGaZnO₄, InMgMnO₄, LuGaMgO₄, ScAlCuO₄, ScGaCuO₄, ScGaZnO₄, TmGaMgO₄, YbGaMgO₄ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C_hR7_166_c_2c_a-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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