Crystal Lab › Prototype structures › Orthorhombic
High Temperature SmBaMn₂O₆ BaMn₂O₆Sm
Orthorhombic · space group Cmmm (No. 65) · Pearson oC40
Symmetry elements and Wyckoff positions (interactive)
High Temperature SmBaMn₂O₆ in Cmmm
SettingUnit cell
- Lattice constants
- a = 7.831 Å, b = 7.767 Å, c = 7.704 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 468.6 ų
- Atoms in the conventional cell
- 40 (Ba 4, Sm 4, O 24, Mn 8)
- Formula units Z
- 4
- Pearson symbol
- oC40 — orthorhombic, base-centred lattice, 40 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 4g | 4 | 0.2520 | 0.0000 | 0.0000 |
| Sm8 | Sm | 4h | 4 | 0.2567 | 0.0000 | 0.5000 |
| O3 | O | 4i | 4 | 0.0000 | 0.2371 | 0.0000 |
| O4 | O | 4j | 4 | 0.0000 | 0.2832 | 0.5000 |
| O5 | O | 4k | 4 | 0.0000 | 0.0000 | 0.2937 |
| O6 | O | 4l | 4 | 0.0000 | 0.5000 | 0.2518 |
| O7 | O | 8m | 8 | 0.2500 | 0.2500 | 0.2761 |
| Mn2 | Mn | 8n | 8 | 0.0000 | 0.2498 | 0.2549 |
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 40 atoms drawn above are these sites multiplied by all 16 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
AB2C6D_oC40_65_g_n_ijklm_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC40, then the space-group number 65, then the Wyckoff letters occupied by each element in turn (Ba: 4g; Sm: 4h; O: 4i; O: 4j; O: 4k; O: 4l; O: 8m; Mn: 8n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C6D_oC40_65_g_n_ijklm_h-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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