Role of Solvent on Charge Transfer in 7-Aminocoumarin Dyes: New Hints from TD-CAM-B3LYP and State Specific PCM Calculations

Time-dependent B3LYP and CAM-B3LYP calculations have been used to investigate the absorption and emission energies as well as to shed light on the formation of the twisted, intramolecular charge transfer state (TICT) in Coumarin-152 (C152) embedded in cyclohexane, acetonitrile, and water solvents. The bulk solvent effects have been included by using the linear-response (LR) and State-Specific (SS) models in the framework of the so-called polarizable continuum method (PCM). The results demonstrate that the choice of the exchange-correlation functional and of the PCM model is critical to reproduce the experimental data in the most accurate way. In particular, it has been observed that both the solvatochromic and Stokes' shifts are well reproduce by CAM-B3LYP/SSPCM calculations performed on the S-0 and S-1 geometries of C152 optimized at the B3LYP/LRPCM level of theory, whereas not accurate Stokes' shifts are computed with CAM-B3LYP/SSPCM calculations carried out on the CAM-B3LYP/LRPCM optimized structures. This is attributed to the incorrect (underestimated) solvation energy provided by LRPCM, which could lead to misleading results especially for charge-transfer excited state structures in polar solvents. Instead, B3LYP/LRPCM excited state optimizations seem to provide a reasonable geometry for a simple 'error cancellation' effect due to the balance among the B3LYP overstabilization of charge transfer states and the LRPCM underestimation of the solute-solvent binding energy when the former is in a polar solvent. Finally, CAM-B3LYP/SSPCM calculations, in very good agreement with experimental evidence, show that the formation of an accessible TICT state is possible for C152 and that the crossing between S-0 and S-1 states at a dihedral angle of around 70 degrees occurs only in polar solvents.