Crystal Lab › Prototype structures › Tetragonal
ZrO₂ (High-temperature)
Tetragonal · space group P42/nmc (No. 137) · Pearson tP6
Symmetry elements and Wyckoff positions (interactive)
ZrO₂ (High-temperature) in P42/nmc
SettingUnit cell
- Lattice constants
- a = 3.640 Å, b = 3.640 Å, c = 5.270 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 69.8 ų
- Atoms in the conventional cell
- 6 (Zr 2, O 4)
- Formula units Z
- 2
- Pearson symbol
- tP6 — tetragonal, primitive lattice, 6 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zr2 | Zr | 2a | 2 | 0.7500 | 0.2500 | 0.7500 |
| O1 | O | 4d | 4 | 0.2500 | 0.2500 | 0.5650 |
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 6 atoms drawn above are these sites multiplied by all 16 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
A2B_tP6_137_d_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP6, then the space-group number 137, then the Wyckoff letters occupied by each element in turn (Zr: 2a; O: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tP6_137_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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