Crystal Lab › Prototype structures › Monoclinic
Baddeleyite (ZrO₂, C43)
Monoclinic · space group P121/c1 (No. 14) · Pearson mP12 · Strukturbericht C43 · mineral: baddeleyite
Symmetry elements and Wyckoff positions (interactive)
Baddeleyite (ZrO₂, C43) in P121/c1
SettingUnit cell
- Lattice constants
- a = 5.151 Å, b = 5.212 Å, c = 5.317 Å; α = 90.00°, β = 99.23°, γ = 90.00°
- Cell volume
- 140.9 ų
- Atoms in the conventional cell
- 12 (O 8, Zr 4)
- Formula units Z
- 4
- Pearson symbol
- mP12 — monoclinic, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4e | 4 | 0.9300 | 0.3317 | 0.6553 |
| O2 | O | 4e | 4 | 0.5504 | 0.7569 | 0.5208 |
| Zr3 | Zr | 4e | 4 | 0.7246 | 0.0395 | 0.7917 |
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 12 atoms drawn above are these sites multiplied by all 4 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_mP12_14_2e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP12, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (O: 4e; O: 4e; Zr: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CoSb₂, HfO₂, TeAg₂, VO₂ <!--beginning with an
Note: C43, Baddeleyite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_mP12_14_2e_e-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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