Deducing equation of state under high pressure from Hugoniot data

Based on Hugoniot data, deformation Morse potential and Grüneisen model, a new method is introduced to determine the equation of state of solid material under high pressure. Physical significance of the method is specific and expression form is concise. The equation of state of Au calculated by this method agrees well with that of Sesame equation of state database. The relative error is in the 0~10% range when the density of Au is within 20~28 g/cm3.