Statistical parameter of thermodynamic equation of state

Based on the crystal lattices oscillator model, a thermodynamic equation of state is derived using a statistical dynamics method. The new parameter R of this equation of state is independent of the Gruneisen parameter, as com pared with its predecessor, which was given by Q. Wu and F. Q. Jing. The ca lculated shock Hugoniot loci based on this new parameter are in good agreem ent with those calculated by the original parameter over a wide pressure ra nge. This validates the new form of the R parameter.