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Crystal Lab › Prototype structures › Tetragonal

Zn₂VO(PO₄)₂

Tetragonal · space group I4cm (No. 108) · Pearson tI56

Symmetry elements and Wyckoff positions (interactive)

Zn₂VO(PO₄)₂ in I4cm

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

Unit cell

Lattice constants
a = 8.923 Å, b = 8.923 Å, c = 9.039 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
719.6 ų
Atoms in the conventional cell
56 (O 36, V 4, P 8, Zn 8)
Formula units Z
4
Pearson symbol
tI56 — tetragonal, body-centred lattice, 56 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O4a40.00000.00000.4275
V6V4a40.00000.00000.1011
O2O8c80.65180.15180.4690
O3O8c80.10400.60400.2369
P5P8c80.69340.19330.6204
Zn7Zn8c80.61810.11810.2635
O4O16d160.82710.13550.1548

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 56 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

A9B2CD2_tI56_108_a2cd_c_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI56, then the space-group number 108, then the Wyckoff letters occupied by each element in turn (O: 4a; V: 4a; O: 8c; O: 8c; P: 8c; Zn: 8c; O: 16d). 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 A9B2CD2_tI56_108_a2cd_c_a_c-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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