Grüneisen parameter and its higher derivatives for pt, fe, v and nb using equations of state

We have calculated the high pressure properties, Grüneisen parameter and its volume derivatives of metals Platinum, Iron, Vanadium and Niobium using free volume theory. We have used some of the most reliable high pressure equation of state (EOS) to determine the thermo-elastic parameter and its higher order volume derivatives based on the generalized free volume theory. We have used two EOS`s (a) Stacey Reciprocal K-primed EOS, (b) Kushwah Logarithmic EOS to find the Gru ̈neisen parameter and its volume derivatives for metals at different values of compression from (1.0 to 0.5). The results for thermo-elastic parameters show systematic variations.