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Dynamical properties of materials determined using force constant expansions in the HIPHIVE package and density functional theory as implemented in the Gpaw code. Thermal conductivity of alkaline earth tellurides was determined, and the narrower width between amplitudons and electrical modes exhibited supersonic cooling and heat transportation, and our findings are in perfect agreement with experimental research. When compared to the other binary crystals, BaTe appears to offer the dual advantage of prolonged photon lifetime at normal temperature as well as a speedier thermo-electric converter due to the tiny gap between amplitudons and electric modes.