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Crystal Lab › Prototype structures › Tetragonal

β-LiFeO₂ FeLiO₂

Tetragonal · space group I4/mmm (No. 139) · Pearson tI4

Symmetry elements and Wyckoff positions (interactive)

β-LiFeO₂ in I4/mmm

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

Unit cell

Lattice constants
a = 2.890 Å, b = 2.890 Å, c = 4.280 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
35.7 ų
Atoms in the conventional cell
4 (Fe 2, O 2)
Formula units Z
2
Pearson symbol
tI4 — tetragonal, body-centred lattice, 4 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Fe1Fe2a20.00000.00000.0000
O2O2b20.00000.00000.5000

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 4 atoms drawn above are these sites multiplied by all 32 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

AB_tI4_139_a_b-003: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI4, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (Fe: 2a; O: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-LiFeO₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_tI4_139_a_b-003 (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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