[1] We present a detailed theoretical analysis of nonthermal escape of molecular hydrogen from Mars induced by collisions with hot atomic oxygen from the Martian corona. To accurately describe the energy transfer in O + H 2 (v, j) collisions, we performed extensive quantum-mechanical calculations of state-to-state elastic, inelastic, and reactive cross sections. The escape flux of H 2 molecules was evaluated using a simplified 1D column model of the Martian atmosphere with realistic densities of atmospheric gases and hot oxygen production rates for low solar activity conditions. An average intensity of the non-thermal escape flux of H 2 of 1.9 Â 10 5 cm À2 s À1 was obtained considering energetic O atoms produced in dissociative recombinations of O 2 + ions. Predicted ro-vibrational distribution of the escaping H 2 was found to contain a significant fraction of higher rotational states. While the non-thermal escape rate was found to be lower than Jeans rate for H 2 molecules, the non-thermal escape rates of HD and D 2 are significantly higher than their respective Jeans rates. The accurate evaluation of the collisional escape flux of H 2 and its isotopes is important for understanding non-thermal escape of molecules from Mars, as well as for the formation of hot H 2 Martian corona. The described molecular ejection mechanism is general and expected to contribute to atmospheric escape of H 2 and other light molecules from planets, satellites, and exoplanetary bodies. Citation: Gacesa, M., P. Zhang, and V. Kharchenko (2012), Non-thermal escape of molecular hydrogen from Mars,