Symmetry elements and Wyckoff positions (interactive)
ZrTe₃O₈ in Ia-3
SettingUnit cell
- Lattice constants
- a = 11.308 Å, b = 11.308 Å, c = 11.308 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1446.0 ų
- Atoms in the conventional cell
- 96 (Zr 8, O 64, Te 24)
- Formula units Z
- 8
- Pearson symbol
- cI96 — cubic, body-centred lattice, 96 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zr4 | Zr | 8a | 8 | 0.0000 | 0.0000 | 0.0000 |
| O1 | O | 16c | 16 | 0.1707 | 0.1707 | 0.1707 |
| Te3 | Te | 24d | 24 | 0.2064 | 0.0000 | 0.2500 |
| O2 | O | 48e | 48 | 0.1035 | 0.0621 | 0.3620 |
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 96 atoms drawn above are these sites multiplied by all 48 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
A8B3C_cI96_206_ce_d_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI96, then the space-group number 206, then the Wyckoff letters occupied by each element in turn (Zr: 8a; O: 16c; Te: 24d; O: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B3C_cI96_206_ce_d_a-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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