Crystal Lab › Prototype structures › Monoclinic
β-BaIrO₃ Perovskite
Monoclinic · space group C12/m1 (No. 12) · Pearson mC50
Symmetry elements and Wyckoff positions (interactive)
β-BaIrO₃ Perovskite in C12/m1
SettingUnit cell
- Lattice constants
- a = 9.955 Å, b = 5.743 Å, c = 13.805 Å; α = 90.00°, β = 119.23°, γ = 90.00°
- Cell volume
- 688.8 ų
- Atoms in the conventional cell
- 50 (Ba 10, O 30, Ir 10)
- Formula units Z
- 10
- Pearson symbol
- mC50 — monoclinic, base-centred lattice, 50 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O7 | O | 2b | 2 | 0.0000 | 0.5000 | 0.0000 |
| Ir4 | Ir | 2c | 2 | 0.0000 | 0.0000 | 0.5000 |
| O8 | O | 4e | 4 | 0.2500 | 0.2500 | 0.0000 |
| Ba2 | Ba | 4i | 4 | 0.2530 | 0.0000 | 0.3886 |
| Ba3 | Ba | 4i | 4 | 0.8090 | 0.0000 | 0.2139 |
| Ir5 | Ir | 4i | 4 | 0.5471 | 0.0000 | 0.3215 |
| Ir6 | Ir | 4i | 4 | 0.3954 | 0.0000 | 0.0920 |
| O9 | O | 4i | 4 | 0.7030 | 0.0000 | 0.8030 |
| O10 | O | 4i | 4 | 0.2170 | 0.0000 | 0.5607 |
| O11 | O | 8j | 8 | 0.5530 | 0.2210 | 0.2002 |
| O12 | O | 8j | 8 | 0.4907 | 0.7290 | 0.6085 |
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 50 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
ABC3_mC50_12_a2i_c2i_be2i2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC50, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2b; Ir: 2c; O: 4e; Ba: 4i; Ba: 4i; Ir: 4i; Ir: 4i; O: 4i; O: 4i; O: 8j; O: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-BaIrO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_mC50_12_a2i_c2i_be2i2j-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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