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Ilmenite (FeTiO₃, E2₂)

Trigonal · space group R-3 (No. 148) · Pearson hR10 · Strukturbericht E22 · mineral: ilmenite

Symmetry elements and Wyckoff positions (interactive)

Ilmenite (FeTiO₃, E2₂) in R-3

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

Unit cell

Lattice constants
a = 5.088 Å, b = 5.088 Å, c = 14.085 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
315.8 ų
Atoms in the conventional cell
30 (Fe 6, Ti 6, O 18)
Formula units Z
6
Pearson symbol
hR10 — hexagonal / trigonal, rhombohedral lattice, 10 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Fe1Fe6c60.00000.00000.3554
Ti3Ti6c60.00000.00000.1464
O2O18f180.64330.01590.5784

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 30 atoms drawn above are these sites multiplied by all 18 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

AB3C_hR10_148_c_f_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR10, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Fe: 6c; Ti: 6c; O: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

NiCrO₃, CoTiO₃, CrTiO₃, CrVO₃, CuVO₃, MnTiO₃, CoMnO₃, NiMnO₃, α-Na₂(GeTe)O₆, Na₂(TiTe)O₆ <!--beginning with an

Note: E2₂, Ilmenite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_hR10_148_c_f_c-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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