Crystal Lab › Prototype structures › Hexagonal
4H BaMnO₃
Hexagonal · space group P63/mmc (No. 194) · Pearson hP20
Symmetry elements and Wyckoff positions (interactive)
4H BaMnO₃ in P63/mmc
SettingUnit cell
- Lattice constants
- a = 5.637 Å, b = 5.637 Å, c = 9.223 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 253.8 ų
- Atoms in the conventional cell
- 20 (Ba 4, Mn 4, O 12)
- Formula units Z
- 4
- Pearson symbol
- hP20 — hexagonal / trigonal, primitive lattice, 20 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ba2 | Ba | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| Mn3 | Mn | 4f | 4 | 0.3333 | 0.6667 | 0.6131 |
| O4 | O | 6g | 6 | 0.5000 | 0.0000 | 0.0000 |
| O5 | O | 6h | 6 | 0.8091 | 0.6182 | 0.2500 |
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 20 atoms drawn above are these sites multiplied by all 24 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_hP20_194_ac_f_gh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP20, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Ba: 2c; Mn: 4f; O: 6g; O: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
BaRuO₃ <!--beginning with an
Note: 4H.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_hP20_194_ac_f_gh-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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