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Crystal Lab › Prototype structures › Tetragonal

β-LiIO₃ ILiO₃

Tetragonal · space group P42/n (No. 86) · Pearson tP40

Symmetry elements and Wyckoff positions (interactive)

β-LiIO₃ in P42/n

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

Unit cell

Lattice constants
a = 9.733 Å, b = 9.733 Å, c = 6.157 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
583.2 ų
Atoms in the conventional cell
40 (I 8, Li 8, O 24)
Formula units Z
8
Pearson symbol
tP40 — tetragonal, primitive lattice, 40 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
I1I8g80.03430.75760.1150
Li2Li8g80.42600.23600.4260
O3O8g80.83600.12100.9500
O4O8g80.09400.20900.0940
O5O8g80.84700.55200.1720

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 40 atoms drawn above are these sites multiplied by all 8 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

ABC3_tP40_86_g_g_3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP40, then the space-group number 86, then the Wyckoff letters occupied by each element in turn (I: 8g; Li: 8g; O: 8g; O: 8g; O: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-LiIO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_tP40_86_g_g_3g-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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