Herein, we present a simplistic theoretical model for the calculation of bulk modulus, shear modulus and Young’s modulus. These parameters indicates that investigated materials show stability or instability in nature. A stable material may be used in many applications like thermoelectric, photovoltaic, etc. In this paper, we have found all the materials have good stability. We have proposed a simple relation with plasmon oscillation theory. The calculated values are in better agreement with their experimental and reported values, and even for many pyrochlore compounds, these are revealed for the first time, and have great potential for technological applications of thermal barrier coatings (TBC) in aerospace, construction, nuclear reactors, and supercritical boiler industries.