Crystal Lab › Prototype structures › Monoclinic
Monoclinic (II) Ba₃CoIr₂O₉
Monoclinic · space group P12/c1 (No. 13) · Pearson mP60
Symmetry elements and Wyckoff positions (interactive)
Monoclinic (II) Ba₃CoIr₂O₉ in P12/c1
SettingUnit cell
- Lattice constants
- a = 5.755 Å, b = 9.945 Å, c = 14.263 Å; α = 90.00°, β = 90.23°, γ = 90.00°
- Cell volume
- 816.4 ų
- Atoms in the conventional cell
- 60 (Co 4, Ba 12, O 36, Ir 8)
- Formula units Z
- 4
- Pearson symbol
- mP60 — monoclinic, primitive lattice, 60 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co5 | Co | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Co6 | Co | 2b | 2 | 0.5000 | 0.5000 | 0.0000 |
| Ba1 | Ba | 2e | 2 | 0.0000 | 0.9830 | 0.2500 |
| O9 | O | 2e | 2 | 0.0000 | 0.5210 | 0.2500 |
| Ba2 | Ba | 2f | 2 | 0.5000 | 0.5014 | 0.2500 |
| O10 | O | 2f | 2 | 0.5000 | 0.9920 | 0.2500 |
| Ba3 | Ba | 4g | 4 | 0.4951 | 0.1660 | 0.0844 |
| Ba4 | Ba | 4g | 4 | 0.0018 | 0.6676 | 0.0908 |
| Ir7 | Ir | 4g | 4 | 0.5011 | 0.1671 | 0.8446 |
| Ir8 | Ir | 4g | 4 | 0.0015 | 0.6654 | 0.8468 |
| O11 | O | 4g | 4 | 0.2710 | 0.2410 | 0.7370 |
| O12 | O | 4g | 4 | 0.8200 | 0.7480 | 0.7530 |
| O13 | O | 4g | 4 | 0.7230 | 0.0890 | 0.5858 |
| O14 | O | 4g | 4 | 0.2010 | 0.5636 | 0.5791 |
| O15 | O | 4g | 4 | 0.9810 | 0.1650 | 0.0838 |
| O16 | O | 4g | 4 | 0.5180 | 0.6740 | 0.0810 |
| O17 | O | 4g | 4 | 0.2720 | 0.0710 | 0.5382 |
| O18 | O | 4g | 4 | 0.7330 | 0.5620 | 0.5923 |
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 4 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
A3BC2D9_mP60_13_ef2g_ab_2g_ef8g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP60, then the space-group number 13, then the Wyckoff letters occupied by each element in turn (Co: 2a; Co: 2b; Ba: 2e; O: 2e; Ba: 2f; O: 2f; Ba: 4g; Ba: 4g; Ir: 4g; Ir: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g; O: 4g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Monoclinic (II).
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC2D9_mP60_13_ef2g_ab_2g_ef8g-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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