Symmetry elements and Wyckoff positions (interactive)
NaMn₇O₁₂ in Im-3
SettingUnit cell
- Lattice constants
- a = 7.312 Å, b = 7.312 Å, c = 7.312 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 390.9 ų
- Atoms in the conventional cell
- 40 (Na 2, Mn 14, O 24)
- Formula units Z
- 2
- Pearson symbol
- cI40 — cubic, body-centred lattice, 40 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na3 | Na | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Mn1 | Mn | 6b | 6 | 0.0000 | 0.5000 | 0.5000 |
| Mn2 | Mn | 8c | 8 | 0.2500 | 0.2500 | 0.2500 |
| O4 | O | 24g | 24 | 0.0000 | 0.3128 | 0.1829 |
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 48 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
A7BC12_cI40_204_bc_a_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI40, then the space-group number 204, then the Wyckoff letters occupied by each element in turn (Na: 2a; Mn: 6b; Mn: 8c; O: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
SrMn₇O₁₂ <!--beginning with an
Note: Quadruple Perovskite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7BC12_cI40_204_bc_a_g-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.
← High Pressure Phase II (CH₃)(NH₃)PbBr₃ · Space group Im-3 (11 prototypes) · All prototypes · Modern C26 (NO₂) →