Table 1 Summary of literature studies on the structure of barium titanate.

From: Neutron Total Scattering Studies of Group II Titanates (ATiO3, A2+ = Mg, Ca, Sr, Ba)

Methodology

Conclusion

Date

Reference

X-ray Diffuse Scattering of Single Crystals

The rhombohedral phase is ordered, the other phases are partially ordered. The diffraction results are average structures

1968

Comes et al.15

Neutron Powder Diffraction

The structure was well fit with the average structure models and the anisotropic thermal parameters do not support the order-disorder model

1993

Kwei et al.14

Neutron Total Scattering

Local rhombohedral symmetry was found in rhombohedral and orthorhombic phases, but the average structure described the tetragonal and cubic phases well

1995

Kwei et al.34

Extended X-ray Absorption Fine Structure (EXAFS) and X-ray Absorption Near Edge Structure (XANES)

The local structure is rhombohedrally distorted at all temperatures, the average structures observed were explained by the disordering of domains

1998

Ravel et al.35

Nuclear Magnetic Resonance of Single Crystal

Satellite peaks were observed in the cubic phase that were attributed to tetragonal symmetry

2003

Zalar et al.36

Synchrotron Total Scattering of Nanocrystals

Tetragonal local symmetry with cubic average symmetry

2006

Petkov et al.17

RMC Modeling of Neutron PDF, EXAFS, and Diffuse Scattering

Tetragonal phase shows four displacements and cubic phase shows eight displacement directions for titanium atoms

2014

Levin et al.37

RMC Modeling of Neutron PDF

Local rhombohedral titanium distortions are correlated and lead to experimentally observed average structures

2016

Senn et al.16