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γ-Fe₂O₃ (D5₇)

Cubic · space group P4332 (No. 212) · Pearson cP60 · Strukturbericht D57

Symmetry elements and Wyckoff positions (interactive)

γ-Fe₂O₃ (D5₇) in P4332

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

Unit cell

Lattice constants
a = 8.400 Å, b = 8.400 Å, c = 8.400 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
592.7 ų
Atoms in the conventional cell
60 (Fe 24, O 36)
Formula units Z
12
Pearson symbol
cP60 — cubic, primitive lattice, 60 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Fe1Fe4a40.12500.12500.1250
O4O4b40.62500.62500.6250
Fe2Fe8c80.50000.50000.5000
O5O8c80.37100.37100.3710
Fe3Fe12d120.12500.62500.6250
O6O24e240.87800.62900.1290

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 60 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

A2B3_cP60_212_acd_bce-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP60, then the space-group number 212, then the Wyckoff letters occupied by each element in turn (Fe: 4a; O: 4b; Fe: 8c; O: 8c; Fe: 12d; O: 24e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

γ-Al₂O₃ (γ-corundum) <!--beginning with an

Note: D5₇, \gamma-Fe₂O₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3_cP60_212_acd_bce-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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