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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Fe1Fe8a80.00000.00000.0000
Mn2Mn24d240.78440.00000.2500
O3O48e480.62500.35000.0880

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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