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Crystal Lab › Prototype structures › Cubic

η-carbide (Fe₃W₃C, E9₃)

Cubic · space group Fd-3m (No. 227) · Pearson cF112 · Strukturbericht E93 · mineral: eta-carbide

Symmetry elements and Wyckoff positions (interactive)

η-carbide (Fe₃W₃C, E9₃) in Fd-3m

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

Unit cell

Lattice constants
a = 11.087 Å, b = 11.087 Å, c = 11.087 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1362.8 ų
Atoms in the conventional cell
112 (C 16, Fe 48, W 48)
Formula units Z
16
Pearson symbol
cF112 — cubic, face-centred lattice, 112 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C16c160.00000.00000.0000
Fe2Fe16d160.50000.50000.5000
Fe3Fe32e320.70470.70470.7047
W4W48f480.32300.12500.1250

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 112 atoms drawn above are these sites multiplied by all 192 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

AB3C3_cF112_227_c_de_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF112, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (C: 16c; Fe: 16d; Fe: 32e; W: 48f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Cr₃Nb₃C, Fe₃Mo₃C, Fe₄Mo₂C, Fe₆W₆C, Hf₅Zn₃C, Mn₃Mo₃C, Mn₃Ni₃Si, Mn₃Ti₃O, Mn₃W₃C, Mo₃Ni₃C, Mo₄Co₂C, Mo₄Co₂C, Mo₄Ni₂C, Nb₂ZnC_{x}, Nb₂ZnC_{x}, Nb₄Rh₂C_{x}, Ni₃W₃C, Ni₅W₆C, Ti₂ZnC_{x}, Ti₂ZnC_{x}, Ti₄Pt₂O, Ti₄Rh₂O, V₃Zr₃C, W₃Co₃C, W₄Co₂C, Zn₂ZnN_{x}, Zr₂ZnC_{x}, Zr₄Pt₂O <!--beginning with an

Note: E9₃, \eta-Carbide.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C3_cF112_227_c_de_f-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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