Role of the Molecular Environment in Flavoprotein Color and Redox Tuning: QM Cluster versus QM/MM Modeling

We investigate the origin of the excitation energy shifts induced by the apoprotein in the active site of the bacterial photoreceptor BLUF (<u>B</u>lue <u>L</u>ight sensor <u>U</u>sing <u>F</u>lavin adenine dinucleotide). In order to compute the vertical excitation energies of three low-lying electronic states, including two π–π* states of flavin (S₁ and S₂) and a π–π* tyrosine-flavin electron-transfer state (ET), with respect to the energy of the closed-shell ground state (S₀), we prepared alternative quantum mechanical (QM) cluster and quantum mechanics/molecular mechanics (QM/MM) models. We found that the excitation energies computed with both types of models correlate with the magnitude of the charge transfer character of the excitation. Accordingly, we conclude that the small charge transfer character of the light absorbing S₀–S₁ transition and the substantial charge transfer character of the nonabsorbing but redox active S₀–ET transition explain the small color changes but substantial redox tuning in BLUF and also in other flavoproteins. Further analysis showed that redox tuning is governed by the electrostatic interaction in the QM/MM model and transfer of charge between the active site and its environment in the QM cluster. Moreover, the wave function polarization of the QM subsystem by the MM subsystem influences the magnitude of the charge transfer, resulting in the QM/MM and QM excitation energies that are not entirely consistent