Related Experiment Video
Updated: Jun 3, 2026

Chemical Synthesis of Porous Barium Titanate Thin Film and Thermal Stabilization of Ferroelectric Phase by Porosity-Induced Strain
Published on: March 27, 2018
Tetragonal tungsten bronze compounds: relaxor versus mixed ferroelectric-dipole glass behavior
1Institute of Physics, Opole University, Opole, 45-052, Poland. stef@math.uni.opole.pl
This study explains experimental data on a tungsten bronze compound, showing it transitions from ferroelectric to orientational glass behavior, not relaxor. This ferroelectric-to-glass crossover is modeled using the disordered Ising model.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Crystallography
Background:
- Tungsten bronze compounds (TBCs) exhibit complex dielectric properties.
- Distinguishing between ferroelectric, relaxor, and glass behaviors is crucial for materials applications.
- Recent experiments on Ba(2)Pr(x)Nd(1-x)FeNb(4)O(15) present new data on TBCs.
Purpose of the Study:
- To theoretically explain recent experimental findings on the Ba(2)Pr(x)Nd(1-x)FeNb(4)O(15) compound.
- To model the observed crossover in dielectric behavior.
- To differentiate between ferroelectric, orientational glass, and relaxor states in TBCs.
Main Methods:
- Utilizing a theoretical model based on the disordered Ising model.
- Applying the replica-symmetric solution for theoretical analysis.
- Comparing model predictions with experimental data from Castel et al. (2009).
Main Results:
- The proposed model successfully explains the experimental data for Ba(2)Pr(x)Nd(1-x)FeNb(4)O(15).
- A crossover from ferroelectric (at x=0) to orientational (dipole) glass (at x=1) behavior is predicted and supported.
- The presence of ferroelectric hysteresis loops confirms the transition, distinguishing it from typical relaxor behavior.
Conclusions:
- The compound Ba(2)Pr(x)Nd(1-x)FeNb(4)O(15) exhibits a ferroelectric to orientational glass phase transition.
- The disordered Ising model provides a valid framework for understanding this crossover.
- This work clarifies the nature of phase transitions in TBCs, differentiating them from perovskite relaxors.
Related Concept Videos
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Valence Bond Theory
Ferromagnetism
Colors and Magnetism
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human eye.
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Molecular Shape and Polarity

