Skip to content

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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
O1O1a10.00000.00000.8973
Zr4Zr1a10.00000.00000.4517
Pb3Pb1b10.50000.50000.0000
O2O2c20.50000.00000.3785

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 →