Crystal Lab › Prototype structures › Trigonal
Ba₃Cr₂O₈
Trigonal · space group R-3m (No. 166) · Pearson hR13
Symmetry elements and Wyckoff positions (interactive)
Ba₃Cr₂O₈ in R-3m
SettingUnit cell
- Lattice constants
- a = 5.739 Å, b = 5.739 Å, c = 21.376 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 609.7 ų
- Atoms in the conventional cell
- 39 (Ba 9, Cr 6, O 24)
- Formula units Z
- 3
- Pearson symbol
- hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Ba2 | Ba | 6c | 6 | 0.0000 | 0.0000 | 0.2061 |
| Cr3 | Cr | 6c | 6 | 0.0000 | 0.0000 | 0.4079 |
| O4 | O | 6c | 6 | 0.0000 | 0.0000 | 0.3336 |
| O5 | O | 18h | 18 | 0.1656 | 0.8344 | 0.5666 |
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 39 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
A3B2C8_hR13_166_ac_c_ch-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ba: 3a; Ba: 6c; Cr: 6c; O: 6c; O: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Sr₃Cr₂O₈ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C8_hR13_166_ac_c_ch-002 (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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