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Crystal Lab › Prototype structures › Orthorhombic

Zr₂Al₃

Orthorhombic · space group Fdd2 (No. 43) · Pearson oF40

Symmetry elements and Wyckoff positions (interactive)

Zr₂Al₃ in Fdd2

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

Unit cell

Lattice constants
a = 13.906 Å, b = 9.601 Å, c = 5.570 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
743.7 ų
Atoms in the conventional cell
40 (Al 24, Zr 16)
Formula units Z
8
Pearson symbol
oF40 — orthorhombic, face-centred lattice, 40 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al8a80.00000.00000.8750
Al2Al16b160.36600.68500.0000
Zr3Zr16b160.44600.68200.5000

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 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

A3B2_oF40_43_ab_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oF40, then the space-group number 43, then the Wyckoff letters occupied by each element in turn (Al: 8a; Al: 16b; Zr: 16b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ga₂Al₃, Ga₂Zr₃, Hf₂Al₃ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2_oF40_43_ab_b-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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