Study of the isothermal equation of state and elastic properties for hcp-transition metals at high pressure

A theoretical model of the equation of state based on Eulerian finite theory for high pressure has recently been reported by Singh et al. The adopted model successfully predicted the elastic properties of geophysical minerals and prototype solids and the results were also found favourable with experimental data. We have derived the expression for pressure dependence elastic moduli using the proposed model of the equation of state. In this study, the elastic constants of two hcp-transition metals ∼ Co and Re as function of pressure are computed using these formulated expressions. The obtained high-pressure elastic constants are found to be well consistent with the previous theoretical results and show a good agreement with the experimental results. As a result, the present study may play a vital role in geophysical applications.