Analytical Approach to the Shock Compressibility of 18 Cubic‐Lattice Metals

An average value of 11 / 6 is taken to represent the Gruneisen constant of these eighteen metals: Li, Na, K, Rb, Cs, Fe, Mo, Ta, W, Al, Co, Ni, Cu, Pd, Ag, Pt, Au, and Pb. An analytical model is formulated for the interpretation of shock‐wave behavior of the_e metals. The model is shown to be as heuristic as the classical model of gas dynamics, and the adiabatic indices and compression ratios of both models at shock infinity may now be arranged as orderly spectra (53, 32, 75, 43) and (4, 5, 6, 7), respectively. The investigation seeks to emphasize the interrelation between shock and isentropic compressibilities, and it also provides favorable evidence for the use of Slater formula to evaluate γ at high pressure.