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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
O1O4e40.93000.33170.6553
O2O4e40.55040.75690.5208
Zr3Zr4e40.72460.03950.7917

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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