Crystal Lab › Oxides & frameworks
Barium titanate (tetragonal) BaTiO₃
Ferroelectric perovskite · space group P4mm (No. 99) · Z = 1
Symmetry elements and Wyckoff positions (interactive)
Barium titanate (tetragonal) in P4mm
SettingLoading 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)
| Atom | x | y | z |
|---|---|---|---|
| Ti | 0.5000 | 0.5000 | 0.5100 |
| O | 0.5000 | 0.0000 | 0.4790 |
| O | 0.0000 | 0.5000 | 0.4790 |
| O | 0.5000 | 0.5000 | 0.9780 |
| Ba | 0.0000 | 0.0000 | 0.0000 |
Z, coordination numbers, distances, density and packing on this page are computed from these coordinates.
Other oxides & frameworks
Perovskite (ideal cubic)SrTiO₃ · ABO₃Rhenium trioxideReO₃ · AB₃SpinelMgAl₂O₄ · AB₂O₄CorundumAl₂O₃ · A₂B₃CupriteCu₂O · A₂BPyriteFeS₂ · AB₂ with S₂²⁻ pairsCalciteCaCO₃ · CarbonateMolybdeniteMoS₂ · Layered AB₂, 6:3ScheeliteCaWO₄ · ABO₄ tetrahedral oxo-anionMagnetite (inverse spinel)Fe₃O₄ · Inverse spinel AB₂O₄Ice Ih (oxygen framework)H₂O · Hydrogen-bonded networkYBCO superconductorYBa₂Cu₃O₇ · Oxygen-deficient triple perovskite
Open Barium titanate (tetragonal) in the 3D viewer → · All structures