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Temperature dependences of the damping constant (half width at half maximum), dielectric susceptibility, inverse relaxation time and the activation energy using the 110 cm -1 and 125 cm -1 Raman modes are calculated in the ferroelectric phase (T<T C ) of BaCeO 3 .  Raman frequencies of these modes are related to the order parameter (spontaneous polarization) to calculate their damping constants using the pseudospin-phonon coupled model and the energy fluctuation model for the orthorhombic-tetragonal transition in BaCeO 3 (T C = 427 K).  Our calculated values of the damping constant from both models are in good agreement with the observed data. The inverse relaxation time of the studied Raman modes is predicted using the calculated values of the damping constant from both models (PS and EF) and the values of the order parameter (squared).  Dielectric susceptibility is also predicted through the observed frequencies of those Raman modes by using the Landau phenomenological theory. The values of the activation energy are also extracted from the damping constant as calculated from both models using the Raman modes studied in the ferroelectric phase of BaCeO 3 .

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Damping constant, dielectric susceptibility, inverse relaxation time and the activation energy calculated as a function of temperature from the Raman frequency for the rhombohedral-tetragonal phase transition in BaCeO3