Carbonyl Stretch as a Franck–Condon Active Mode and Driving Force for Excited-State Decay of 8-Methoxy-4-methyl-2H-benzo[g]chromen-2-one from nπ* State

The fluorescence of most organic chromophore is emitted from the ππ* state, whereas the nπ* state, as a dark state, plays an important role in quenching the fluorescence when its energy is close to the ππ* state. Herein, we report a theoretical study on the fluorescence quenching of 8-methoxy-4-methyl-2H-benzo[g]chromen-2-one by the nπ* state and propose a new mechanism for describing the vibronic coupling between the ππ* and nπ* states. By applying extended multistate complete-active-space second-order perturbation theory (XMS-CASPT2) to optimize the geometries, the geometry distortion of the ππ* state along the out-of-plane mode is observed. This geometry distortion causes the stretching vibration of the carbonyl group to be coupled with the C-C bonds of the pyran ring, which become a Franck-Condon active mode upon photoexcitation and provides a driving force for nonradiative decay from the nπ* state, even if it is energetically unfavorable. This mechanism is significantly different from the previously proposed "proximity effect" and cannot be captured by the popularly used time-dependent density functional theory (TDDFT) and complete-active-space self-consistent field (CASSCF) methods.