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Room Temperature Tetragonal BaTiO₃ BaO₃Ti

Tetragonal · space group P4mm (No. 99) · Pearson tP5

Symmetry elements and Wyckoff positions (interactive)

Room Temperature Tetragonal BaTiO₃ in P4mm

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

Unit cell

Lattice constants
a = 3.986 Å, b = 3.986 Å, c = 4.026 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
64.0 ų
Atoms in the conventional cell
5 (O 3, Ti 1, Ba 1)
Formula units Z
1
Pearson symbol
tP5 — tetragonal, primitive lattice, 5 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O1a10.00000.00000.9770
Ti4Ti1a10.00000.00000.5150
Ba1Ba1b10.50000.50000.0000
O3O2c20.50000.00000.4860

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

AB3C_tP5_99_b_ac_a-001: 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; Ti: 1a; Ba: 1b; O: 2c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CsEuCl₃, CsPbBr₃, CsPbCl₃, CsSrCl₃, EuTiO₃, GdCoO₃, KNbO₃, NaNbO₃, PbTiO₃ <!--beginning with an

Note: Tetragonal BaTiO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_tP5_99_b_ac_a-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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