Crystal Lab › Prototype structures › Tetragonal
BaRu₆O₁₂
Tetragonal · space group P4/n (No. 85) · Pearson tP76
Symmetry elements and Wyckoff positions (interactive)
BaRu₆O₁₂ in P4/n
SettingUnit cell
- Lattice constants
- a = 9.838 Å, b = 9.838 Å, c = 9.368 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 906.7 ų
- Atoms in the conventional cell
- 76 (Ba 4, O 48, Ru 24)
- Formula units Z
- 4
- Pearson symbol
- tP76 — tetragonal, primitive lattice, 76 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2c | 2 | 0.2500 | 0.2500 | 0.2911 |
| Ba2 | Ba | 2c | 2 | 0.2500 | 0.2500 | 0.8790 |
| O3 | O | 8g | 8 | 0.3939 | 0.4435 | 0.0892 |
| O4 | O | 8g | 8 | 0.7946 | 0.4118 | 0.0770 |
| O5 | O | 8g | 8 | 0.8964 | 0.9465 | 0.2420 |
| O6 | O | 8g | 8 | 0.2960 | 0.9084 | 0.2568 |
| O7 | O | 8g | 8 | 0.3984 | 0.4477 | 0.4229 |
| O8 | O | 8g | 8 | 0.7973 | 0.4084 | 0.4114 |
| Ru10 | Ru | 8g | 8 | 0.4178 | 0.8996 | 0.7474 |
| Ru11 | Ru | 8g | 8 | 0.5817 | 0.0973 | 0.9205 |
| Ru9 | Ru | 8g | 8 | 0.5811 | 0.1022 | 0.5860 |
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 76 atoms drawn above are these sites multiplied by all 8 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
AB12C6_tP76_85_2c_6g_3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP76, then the space-group number 85, then the Wyckoff letters occupied by each element in turn (Ba: 2c; Ba: 2c; O: 8g; O: 8g; O: 8g; O: 8g; O: 8g; O: 8g; Ru: 8g; Ru: 8g; Ru: 8g). 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 AB12C6_tP76_85_2c_6g_3g-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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