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Barium titanate (tetragonal) BaTiO₃

Ferroelectric perovskite · space group P4mm (No. 99) · Z = 1

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Symmetry elements and Wyckoff positions (interactive)

Barium titanate (tetragonal) in P4mm

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

Unit cell

Lattice constants
a = 3.991 Å, b = 3.991 Å, c = 4.025 Å; α = 90°, β = 90°, γ = 90°
Cell volume
64.1 ų
Atoms in the cell
5 (Ti 1, O 3, Ba 1)
Formula units Z
1
Calculated density
6.04 g cm⁻³
Shortest contact
1.884 Å

Coordination

Ti
CN 6 at 1.88 Å (6 O)
O
CN 2 at 2.00 Å (2 Ti)
Ba
CN 12 at 2.77 Å (12 O)

About the structure

  • The room-temperature form of BaTiO₃: the cubic perovskite cell is stretched along c (c/a = 1.01) and Ti⁴⁺ is displaced off the centre of its octahedron, giving a permanent dipole.
  • That dipole can be switched by a field — ferroelectricity — which is why BaTiO₃ is the dielectric of multilayer ceramic capacitors. Above 120 °C it becomes cubic (see the ideal perovskite entry).
  • Coordinates from the Crystallography Open Database, entry 1525437 (open data); hydrogen and water sites with partial occupancy below 0.5 are left out.

Atom positions (fractional, one cell)

Atomxyz
Ti0.50000.50000.5100
O0.50000.00000.4790
O0.00000.50000.4790
O0.50000.50000.9780
Ba0.00000.00000.0000

Z, coordination numbers, distances, density and packing on this page are computed from these coordinates.

Other oxides & frameworks

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