New Formulation of Equation of State and Study of Elastic Properties of Alkaline Earth Oxides under High Pressure

S.P. Singha, D. Singha, b aDepartment of Physics, Dr. B.R. Ambedkar Govt. Degree College, Mainpuri (UP)-205001, India bDepartment of Physics, R.B.S. College, Agra (UP)-282007, India

Full Text PDF

A new analytical equation of state based on the Eulerian finite strain scheme has been formulated. The n-th power of edge length by compression has been used. This equation correctly evaluates models of the high-pressure theory and corresponds well to the experimental data of geophysical minerals. The new equation of state is capable of producing other prominent equations of state such as the Birch-Murnaghan equation of state, the third-power Eulerian equation of state, etc. The derived equation has been used to develop the expression of the pressure dependence of bulk modulus and its pressure derivative. The developed expressions have been used to test and investigate the pressure dependence of bulk modulus and its pressure derivative of alkaline earth oxides viz. MgO, CaO. It is found that the computed results using the present models show a better agreement with available experimental results. It is concluded that new expressions are capable of predicting the elastic properties of earth's minerals under high-pressure conditions. It can be used in geophysical applications.

DOI:10.12693/APhysPolA.140.131 topics: equation of state (EOS), n-th power of edge length, pressure dependence of bulk moduli, high pressure