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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| I1 | I | 8g | 8 | 0.0343 | 0.7576 | 0.1150 |
| Li2 | Li | 8g | 8 | 0.4260 | 0.2360 | 0.4260 |
| O3 | O | 8g | 8 | 0.8360 | 0.1210 | 0.9500 |
| O4 | O | 8g | 8 | 0.0940 | 0.2090 | 0.0940 |
| O5 | O | 8g | 8 | 0.8470 | 0.5520 | 0.1720 |
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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