We present a simple theoretical model to calculate shock and detonation properties of solid explosives. A solid equation of state of the Mie–Gruneisen form based on interatomic potential of the Lennard-Jones type with a soft repulsive part is used to calculate the shock properties of solid explosives. In conjunction with the Chapman–Jouguet condition, a reliable dense fluid equation of state and a simple mixing rule are used to calculate detonation properties of solid explosives with gaseous products. Calculations show a satisfactory agreement with experimental data and with results obtained from other theoretical modes