Crystal Lab › Prototype structures › Trigonal
AgRuO₃
Trigonal · space group R-3c (No. 167) · Pearson hR20
Symmetry elements and Wyckoff positions (interactive)
AgRuO₃ in R-3c
SettingUnit cell
- Lattice constants
- a = 5.226 Å, b = 5.226 Å, c = 32.358 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 765.4 ų
- Atoms in the conventional cell
- 60 (Ag 12, Ru 12, O 36)
- Formula units Z
- 12
- Pearson symbol
- hR20 — hexagonal / trigonal, rhombohedral lattice, 20 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 12c | 12 | 0.0000 | 0.0000 | 0.9304 |
| Ru3 | Ru | 12c | 12 | 0.0000 | 0.0000 | 0.6684 |
| O2 | O | 36f | 36 | 0.0511 | 0.3382 | 0.3004 |
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 60 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
AB3C_hR20_167_c_f_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR20, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Ag: 12c; Ru: 12c; O: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_hR20_167_c_f_c-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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