Skip to main content

Evaluation of barium titanate polymorphs by Rietveld analysis

AppNote XRD1149: Evaluation of barium titanate polymorphs by Rietveld analysis


Barium titanate (BaTiO₃) is a representative ferroelectric material, used in capacitors and electronic components such as pyroelectrics and piezoelectrics. Barium titanate exists as tetragonal and cubic systems at room temperature. The mass fractions of these two phases affect its permittivity. In addition, the c/a ratio of the tetragonal phase also affects permittivity. Therefore, it is important to determine the mass fractions of the polymorphs and lattice constants to control the permittivity of barium titanate. Rietveld analysis allows you to easily calculate mass fractions and lattice constants based on the X-ray diffraction pattern. In this example, the X-ray diffraction pattern was obtained using a compact X-ray diffractometer, equipped with the high-resolution and high-speed one-dimensional detector D/teX Ultra250. We evaluated mass fractions and lattice constants of barium titanate by Rietveld analysis.

XRD products from Rigaku

Advanced state-of-the-art high-resolution XRD system powered by Guidance expert system software

Highly versatile multipurpose X-ray diffractometer with built-in intelligent guidance

New 6th-generation general purpose benchtop XRD system for phase i.d and phase quantification

Compact X-ray diffractometer for quality control of materials that is easy to use and is ideal for routine work

Windows®-based software suite for Rigaku's X-ray diffractometers

Laboratory micro-spot XRD residual stress analysis with both iso- and side-inclination methods

high energy resolution pixel detector capable of 0, 1, and 2D measurements

2D X-ray detector with latest semiconductor technology designed for home lab diffractometers