The temperature dependence of the Brillouin frequency and the linewidth of the LA mode is studied for the concentration of x=0.45 in the ferroelectric phase of PbZr 1-x Ti x O 3 (PZT-x) within the temperature range of 443 to 656 K (T C =657 K). Using the experimental data for the Brillouin frequency of the LA mode as an order parameter below T C the temperature dependence of the linewidth (FWHM) is calculated by the pseudospin-phonon coupled model and the energy fluctuation model for the lead titanate zirconate (x=0.45). Additionally, the activation energies are compared from the damping constant (linewidth) using both models for the temperature range of 443 to 656 K in the ferroelectric phase of PbZr 1-x Ti x O 3 . Our calculated values for the damping constant are in agreement with the observed data for the ferroelectric phase of PbZr 1-x Ti x O 3 single crystals. The activation energies calculated from both models are much higher in the ferroelectric phase than the value of k B T C =0.056 eV at the transition temperature for PbZr 1-x Ti x O 3 (x=0.45). Index Terms-: Ferroelectricity, Brillouin frequency, order parameter, damping constant (FWHM), PbZr 1-x Ti x O 3 . 978-1-4799-9974-3/15/$31.00 ©2015 IEEE