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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4a | 4 | 0.0000 | 0.0000 | 0.4275 |
| V6 | V | 4a | 4 | 0.0000 | 0.0000 | 0.1011 |
| O2 | O | 8c | 8 | 0.6518 | 0.1518 | 0.4690 |
| O3 | O | 8c | 8 | 0.1040 | 0.6040 | 0.2369 |
| P5 | P | 8c | 8 | 0.6934 | 0.1933 | 0.6204 |
| Zn7 | Zn | 8c | 8 | 0.6181 | 0.1181 | 0.2635 |
| O4 | O | 16d | 16 | 0.8271 | 0.1355 | 0.1548 |
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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