Vibronic coupling in indole: I. Theoretical description of the 1La-1Lb interaction and the electronic spectrum

• Published in: Physical chemistry chemical physics : PCCP Vol. 12; no. 19; pp. 4968 - 4979
• Main Authors: BRAND, Christian, KÜPPER, Jochen, PRATT, David W, MEERTS, W. Leo, KRÜGLER, Daniel, TATCHEN, Jörg, SCHMITT, Michael
• Format: Journal Article
• Language: English
• Published: Cambridge Royal Society of Chemistry 21.05.2010
• Subjects: Chemistry; Computer Simulation; Electrons; Exact sciences and technology; General and physical chemistry; Indoles - chemistry; Quantum Theory; Vibration; Theory; Indole; Reference; Prediction; Theoretical study; Vibronic interaction; Singlet state; Electron correlation; Configuration interaction; Emission spectrum; Absorption spectrum; Density functional; Energy; Transition moment; Density functional method; Electronic transition; Indole derivatives; Structure; Coupled cluster method; Dipole moment
• ISSN: 1463-9076; 1463-9084
• DOI: 10.1039/c001776k

The properties of the three lowest singlet electronic states (ground, (1)L(b), and (1)L(a) states) of indole (C(8)H(7)N) have been calculated with second-order approximate coupled-cluster theory (CC2) within the resolution-of-the-identity approximation. Refined electronic energies at the CC2 optimized structures and transition dipole moments were calculated using a density functional theory multi-reference configuration-interaction (DFT/MRCI) approach. Structures, energies, and dipole moments are reported for all three states and compared to experimental values. From the optimized structures and calculated transition dipole moments, we predict that pure (1)L(b) bands will have positive signs for both the axis reorientation angle theta(T) and the angle theta of the transition dipole moment with respect to the inertial a axis. For (1)L(a) bands the signs of both angles will be reversed. Vibronically coupled bands can exhibit opposite signs for theta and theta(T). The absorption and emission spectra of indole are calculated based on the Franck-Condon Herzberg-Teller approximation using numerical transition dipole moment derivatives at the DFT/MRCI level of theory. Implications for the experimentally observed vibronic spectra are discussed. Predictions are made for rotationally resolved spectra of various rovibronic bands. A conical intersection, connecting the (1)L(b) and (1)L(a) states, which can be accessed to varying extents via different Herzberg-Teller active modes is found approximately 2000 cm(-1) above the (1)L(b) minimum.