Transformation-Induced Twinning: The 90° and 180° Ferroelectric Domains in Tetragonal Barium Titanate

Ferroelectric twin domains resulting from the cubic ( c ) to tetragonal ( t ) phase transformation at the Curie point T _C≈130°C in pressureless-sintered BaTiO₃ ceramics, using TiO₂-excess powder, have been investigated using scanning and transmission electron microscopy. Both 90° and 180° domains were identified by spot splitting along characteristic crystallographic directions in the selected-area diffraction patterns and/or from the shape of domain boundaries. Lamellar domains were found predominantly with the 90° types. The 180° domain boundaries mostly appeared wavy in shape, while the 90° ones, having sharpened ends, attained a dagger shape. Failure of Friedel's law in the non-centrosymmetric t -BaTiO₃ was adopted to validate the existence of the 180° domains. The 90° domains with boundaries lying in     are reflection–inversion twins, and the 180° domains lying in {100) _t and }220) _t are inversion twins. Convergent-beam electron diffraction was performed to ensure that changing of the polar direction 001] _t across the 90° and the 180° domain boundaries was consistent with the domain type. It was also used to confirm whether the 180°-type walls are inversion domain boundaries produced by the loss of an inversion center when the cubic phase transforms into tetragonal symmetry. The formation of such ferroelectric domains is discussed with reference to the crystal symmetry reduction from     ( c -phase) to P 4 mm ( t -phase) with a loss of mirror plane (m) and roto-inversion axis     upon c → t phase transformation.