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Bixbyite (Mn₂O₃, D5₃)
Cubic · space group Ia-3 (No. 206) · Pearson cI80 · Strukturbericht D53 · mineral: bixbyite
Symmetry elements and Wyckoff positions (interactive)
Bixbyite (Mn₂O₃, D5₃) in Ia-3
SettingUnit cell
- Lattice constants
- a = 9.400 Å, b = 9.400 Å, c = 9.400 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 830.6 ų
- Atoms in the conventional cell
- 80 (Fe 8, Mn 24, O 48)
- Formula units Z
- 8
- Pearson symbol
- cI80 — cubic, body-centred lattice, 80 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Fe1 | Fe | 8a | 8 | 0.0000 | 0.0000 | 0.0000 |
| Mn2 | Mn | 24d | 24 | 0.7844 | 0.0000 | 0.2500 |
| O3 | O | 48e | 48 | 0.6250 | 0.3500 | 0.0880 |
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 80 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
AB3C6_cI80_206_a_d_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI80, then the space-group number 206, then the Wyckoff letters occupied by each element in turn (Fe: 8a; Mn: 24d; O: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Am₂O₃, As₂Mg₃, As₂Zn₃, Cd₃P₂, Ce₂O₃, Dy₂O₃, Er₂O₃, Eu₂O₃, Fe₂O₃, Gd₂O₃, Ho₂O₃, In₂O₃, La₂O₃, Lu₂O₃, α-N₂Be₃, N₂Ca₃, N₂Cd₃, N₂Mg₃, N₂Zn₃, P₂Be₃, P₂Mg₃, P₂Zn₃, Pr₂O₃, Pu₂O₃, Sc₂O₃, Sm₂O₃, Tb₂O₃, TeCu₃O₆, Tl₂O₃, Tm₂O₃, U₂N₃, Y₂O₃ (yttria), Yb₂O₃ <!--beginning with an
Note: D5₃, Bixbyite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C6_cI80_206_a_d_e-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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