| Most exact quantum dynamical calculations aiming at studying the nonadiabatic processes occurring in fundamental chemical reactions were carried out within the time-independent framework and also focused on abstraction reactions such as F+H2 and Cl+H2 thus far. Based on the current status of the theoretical treatment in this field, we introduced an extended split-operator scheme to the quantum time-dependent wave packet method to deal with the multi-surface problems. By using this method, we further investigated the electronically nonadiabatic processes in three fundamental reactions: O(1D)+N2, O(3P, 1D)+H2 and D++H2, all of which are characterized by a deep potential well. To the best of our knowledge, no previous time-dependent wave packet method has been applied to these three reaction systems thus far.It is found that the calculated total electronic quenching cross sections for O(1D)+N2 have shown almost no resonances. The second excited state 13A"plays an equal role to the 13A'state in the quenching process. The type of the singlet 11A'potential surface has significant influence on the calculated results. The resonance structures in the calculated quenching probabilities are insensitive to the function form of spin-orbit couplings.The quantum study on the intersystem crossing in the O(3P, 1D)+H2 reaction indicated that the spin-orbit couplings between triplet states of different symmetries contribute most to the intersystem crossing. On the contrary, the spin-orbit couplings between singlet and triplet states play insignificant roles...
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