Perovskite zirconates have been suggested as potential next generation thermal barrier materials. SrZrO3 is particularly promising as it has an extremely low thermal conductivity comparable to materials currently used. However, it has a number of structural phase transitions which cause abrupt changes in the lattice parameters and make it flake off from the turbine blades. BaZrO3 meanwhile has a somewhat higher thermal conductivity but it is structurally stable. This experiment aims to explore the lattice dynamics in these materials and determine if the structural instabilities in SrZrO3 is vital for its low thermal conductivity.