Crystal Lab › Prototype structures › Tetragonal
Tetragonal PZT [Pb(Zr_{x}Ti_{1-x})O₃]
Tetragonal · space group P4mm (No. 99) · Pearson tP5 · mineral: `PZT'
Symmetry elements and Wyckoff positions (interactive)
Tetragonal PZT [Pb(Zr_{x}Ti_{1-x})O₃] in P4mm
SettingUnit cell
- Lattice constants
- a = 4.046 Å, b = 4.046 Å, c = 4.139 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 67.8 ų
- Atoms in the conventional cell
- 5 (O 3, Zr 1, Pb 1)
- Formula units Z
- 1
- Pearson symbol
- tP5 — tetragonal, primitive lattice, 5 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 1a | 1 | 0.0000 | 0.0000 | 0.8973 |
| Zr4 | Zr | 1a | 1 | 0.0000 | 0.0000 | 0.4517 |
| Pb3 | Pb | 1b | 1 | 0.5000 | 0.5000 | 0.0000 |
| O2 | O | 2c | 2 | 0.5000 | 0.0000 | 0.3785 |
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 5 atoms drawn above are these sites multiplied by all 8 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
A3BC_tP5_99_ac_b_a-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP5, then the space-group number 99, then the Wyckoff letters occupied by each element in turn (O: 1a; Zr: 1a; Pb: 1b; O: 2c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: ``PZT''.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC_tP5_99_ac_b_a-002 (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.
· Space group P4mm (2 prototypes) · All prototypes · Room Temperature Tetragonal BaTiO₃ — BaO₃Ti →