1980
DOI: 10.1063/1.439151
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On band shapes of electronic transitions in the multimode weak coupling limit

Abstract: The influence of multidimensional Franck-Condon (FC) active vibrational subspace on the band shapes of electronic transitions is explored in the linear weak coupling limit. Given a constant (weak) coupling coefficient, computer calculated band shapes are seen to fall into three classes depending on the number of active vibrational modes, N. For large N, the electronic band of a polyatomic molecule will have a relatively weak zero-zero absorption compared to the "side-band" absorption, which arises from a rapid… Show more

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Cited by 48 publications
(20 citation statements)
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(4 reference statements)
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“…For film deposition, 2 mg of the polymer were dissolved in 5 mL of freshly distilled spectrophotometric grade THF, the spinner was run at 1 500 rpm for 15 s at room temperature in clean room conditions and then the thickness of the samples was measured with a profilometer. The SHG experimental setup involved a Quantel Brilliant Q-switched Nd:YAG laser (frequency up to 10 Hz, 400 mJ Á pulse performing a Maker fringes reference experiment [6] with a quartz crystal slab (110) (d 33 …”
Section: Equipmentmentioning
confidence: 99%
See 1 more Smart Citation
“…For film deposition, 2 mg of the polymer were dissolved in 5 mL of freshly distilled spectrophotometric grade THF, the spinner was run at 1 500 rpm for 15 s at room temperature in clean room conditions and then the thickness of the samples was measured with a profilometer. The SHG experimental setup involved a Quantel Brilliant Q-switched Nd:YAG laser (frequency up to 10 Hz, 400 mJ Á pulse performing a Maker fringes reference experiment [6] with a quartz crystal slab (110) (d 33 …”
Section: Equipmentmentioning
confidence: 99%
“…Table 1 shows spectral reconstruction data for both monomers, which are taken here as the chromophorized components of the whole copolymeric spectral profiles, while the reconstructed profile of M2 is shown by way of example in Figure 4a. The Huang-Rhys parameters S for the first three vibronic terms were calculated [31][32][33][34] on the basis of the resulting intensity distributions of the simulated vibronic modes (Franck-Condon factors), yielding average S values of 1.98 and 1.96 for M1 and M2 , respectively. The first p-p* transition takes up about 79% of the intensity of the whole low energy spectrum, while the higher neighbouring p-p* ones take up about 14%, and n-p* about 7%.…”
Section: The Chromophoric Componentsmentioning
confidence: 99%
“…Only the typically dominant Franck-Condon contribution will be accounted for, and no hot bands are considered (i.e., we assume that the initial state is the vibrational ground state, even though a generalization of this assumption is straightforward). In this case, the absorption cross section for the transition from electronic state m (usually the ground state) in the vibrational ground state with energy E m, 0 to the vibrational levels {l n,i } of electronic state n, averaged over all possible orientations of the molecule can be written as (Hartree atomic units are used), 4 …”
Section: Theorymentioning
confidence: 99%
“…Applications to chemically interesting molecules typically require a number of approximations if the vibronic structure shall be calculated. [1][2][3] Rather approximate schemes, such as the "independent mode, displaced harmonic oscillator" (IMDHO) model, also denoted as the multidimensional separable harmonic approximation, 4,5 are applicable to sizable systems. 6,7 Methods for more extensive and more accurate analyses of the vibronic structure of absorption spectra have been developed in the past years, but are also considerably more demanding in terms of computational effort (see, e.g., Refs.…”
Section: Introductionmentioning
confidence: 99%
“…Typically, the summation over intermediate states |ν〉 is restricted to vibrational levels of a single resonant electronic state, and the Condon approximation is imposed such that the dipole moment matrix elements separate into products of a purely electronic transition moment and a vibrational overlap. Still, even if the simplest possible model for the potential energy surfaces (separable harmonic oscillators) is assumed such that each vibrational overlap is easy to calculate, a very large number of levels must typically be included in the sum 32. An additional difficulty with Eq.…”
Section: Resonance Raman Intensities and Excited‐state Structure: mentioning
confidence: 99%