2020
DOI: 10.1063/5.0022760
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Doubly resonant SFG and DFG spectroscopies: An analytic model for data analysis including distorted and rotated vibronic levels. I. Theory

Abstract: We present an analytic description of doubly resonant infrared-visible sum (SFG) and difference frequency generation (DFG) spectroscopies. Within the Born–Oppenheimer and Condon approximations for harmonic oscillators, we extend the usual theory, limited to linear electron–vibration coupling, and introduce the quadratic coupling phenomena (mode distortion and mode mixing) in the excited state. The excitation spectra of vibrations in SFG and DFG experiments are calculated in integral form for arbitrary mode dis… Show more

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Cited by 10 publications
(17 citation statements)
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“…This validates this methodology for the first time on DR-SFG. This also shows that the assumptions made in this study are indeed fulfilled: separability in DR-SFG between molecular amplitudes and energy lineshapes; Franck-Condon nature of the 1655 cm −1 mode; neglect of the higher order contributions to the excitation profile 47 and of the interference effects with neighbouring vibration modes. The experimental shape in Fig.…”
Section: Modeling Of the Excitation Spectrasupporting
confidence: 66%
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“…This validates this methodology for the first time on DR-SFG. This also shows that the assumptions made in this study are indeed fulfilled: separability in DR-SFG between molecular amplitudes and energy lineshapes; Franck-Condon nature of the 1655 cm −1 mode; neglect of the higher order contributions to the excitation profile 47 and of the interference effects with neighbouring vibration modes. The experimental shape in Fig.…”
Section: Modeling Of the Excitation Spectrasupporting
confidence: 66%
“…As discussed in Ref. 47, expressing the doubly resonant hyperpolarizability into Lorentzian sum-over-states or in integral form requires an explicit decomposition over the vibronic structure. The required parameters (vibronic energies, Huang-Rhys factors, coupling constants) start becoming accessible through quantum chemistry calculations.…”
Section: A Advantages and Limitations Of The Methodsmentioning
confidence: 99%
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“…The above-mentioned description of the SFG response of an interface is phenomenological and easy to use for data fitting. In addition, it is worth noting that recent theoretical and analytical models developed for doubly resonant SFG and DFG spectroscopies give a quantified description of complex phenomena related to vibronic couplings inside molecules [75,76].…”
Section: Ir Absorptionmentioning
confidence: 99%