2003
DOI: 10.1063/1.1609979
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Dynamics of radiationless transitions in large molecular systems: A Franck–Condon-based method accounting for displacements and rotations of all the normal coordinates

Abstract: An efficient method to study the dynamics of radiationless transition in large molecular systems is proposed. It is based on the use of the whole set of normal coordinates of vibration and allows for taking properly into account both the displacements and the mix of the normal modes upon transition between two electronic states. The Hamiltonian matrix elements are written in terms of generalized Franck-Condon integrals and are analytically evaluated by recursion formulae. Applications to the S 2 → S 1 internal… Show more

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Cited by 126 publications
(130 citation statements)
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“…48,49 In such cases a quantitative agreement can only be obtained by using a more sophisticated model including the non-adiabatic coupling between the two electronic states. 5,70 The assignment of the electronic transitions in the high energy region of the absorption spectrum poses several problems. According to TD-DFT results a significant number of transitions fall in that spectral region though only a few of them have a significant oscillator strength.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…48,49 In such cases a quantitative agreement can only be obtained by using a more sophisticated model including the non-adiabatic coupling between the two electronic states. 5,70 The assignment of the electronic transitions in the high energy region of the absorption spectrum poses several problems. According to TD-DFT results a significant number of transitions fall in that spectral region though only a few of them have a significant oscillator strength.…”
Section: Discussionmentioning
confidence: 99%
“…1,2 Fast growing research fields such as organic LED technology 3 and dye-sensitized solar cells (DSSC), 4 would strongly benefit from the application of robust and easy-to-use methodologies for the simulation of spectral lineshapes of organic dyes. The research in this field is quickly growing [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] (see also Borrelli et al 22 for a recent review) but standardize procedures have not yet been established, and specific computational strategies must be carefully designed and require validation and testing on several class of molecules. [23][24][25][26] In this paper we apply state of the art tools of computational spectroscopy to simulate the absorption and emission lineshapes of squaraine dyes in solution.…”
Section: Introductionmentioning
confidence: 99%
“…The FC profiles are calculated using the MolFC program, which uses the optimized geometry and normal modes of the anion and neutral from BLYP/cc-pVDZ calculations as described above. MolFC 34 calculates the FC factors for selected active vibrational modes of the anion and neutral. The Duschinsky transformation is used to determine the rotation matrix J and the displacement vector K between the normal modes of the anion and neutral.…”
Section: Analysis and Discussionmentioning
confidence: 99%
“…Franck-Condon overlap integrals using the Duschinsky transformation 24 are calculated with a code developed by Peluso and co-workers. 25,26 Optimized structures and normal-mode frequencies are used as inputs for both neutral and cationic states.…”
Section: Methodsmentioning
confidence: 99%