In this paper, we study the optimal alignment and anti-alignment of O2 molecules induced by the femtosecond laser pulse under different input energies. The results show that there exists an energy limit for the molecular alignment. The optimal molecular alignment and anti-alignment degree will never increase with the increase of the laser energy when the input laser energy exceeds the energy limit. Besides, below the energy limit, the molecular optimal alignment (or anti-alignment) degree by using a shorter pulse (its duration is shorter than 100 fs) will be about the same when keeping the input laser energy constant (different pulse duration and the peak power are chosen), especially at a lower temperature of the molecular assembly.
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