Estimating Diffuseness for the Non-Relaxor Type Ferroelectric to Paraelectric Phase Transition in BaTiO3

Barium titanate has been extensively studied for a long time as a model ferroelectric material. However, the Ferro-Paraelectric phase transition of this material is a complex problem to analyse when it becomes diffuse. This has attracted significant research attention over the past few decades, primarily because of their intriguing and not yet fully understood physical properties. Bearing in mind the essential practical applications of ferroelectric materials and the great interest in having a simple functional form, describing the temperature dependence of the dielectric permittivity near the diffuse phase transition, scientists have been trying to figure out a proper model for a long time. In this work, such an investigation has been done to understand the diffusion dynamics, following a distribution of transition temperatures and the temperature-dependent dipole density. The transition is then revisited in the light of a temperature-dependent differential plot. Through which, distinct dielectric regimes are demarcated with improved insight into the progression from ferroelectric to paraelectric phase. Following the establishment, a simple yet effective new measure is being proposed, offering a more accurate and physically meaningful estimation of the diffuse phase transition dynamics.