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Direct Imaging of Laser-driven Ultrafast Molecular Rotation
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Published on: February 4, 2017

Excited state radiationless decay process with Duschinsky rotation effect: formalism and implementation.

Qian Peng1, Yuanping Yi, Zhigang Shuai

  • 1Key Laboratory of Organic Solids, Beijing National Laboratory for Molecular Sciences (BNLMS), Institute of Chemistry, Chinese Academy of Sciences, 100080 Beijing, People's Republic of China.

The Journal of Chemical Physics
|March 27, 2007
PubMed
Summary

This study introduces a new analytic method to calculate internal conversion rates in complex molecules, accounting for the Duschinsky rotation effect. The approach provides a more accurate understanding of excited-state dynamics and molecular processes.

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Area of Science:

  • Physical Chemistry
  • Theoretical Chemistry
  • Computational Chemistry

Background:

  • Characterizing differences between ground and excited state potential energy surfaces is crucial for understanding molecular dynamics.
  • The harmonic oscillator model is a practical approach for describing excited-state dynamics in complex molecules.
  • The Duschinsky rotation effect describes the difference in vibrational modes between electronic states.

Purpose of the Study:

  • To derive an analytic formalism for calculating internal conversion rates.
  • To incorporate the Duschinsky rotation effect into the calculation of internal conversion rates.
  • To provide a method applicable to multimode mixing in complex molecules.

Main Methods:

  • Application of first-order perturbation theory (Fermi's golden rule).
  • Utilizing path integrals of Gaussian type for the correlation function.
  • Development of an analytic formalism for internal conversion rate calculations.

Main Results:

  • An analytic expression for calculating internal conversion rates with Duschinsky rotation was derived.
  • The formalism was validated by comparison with previous analytical and numerical studies.
  • The method was successfully applied to ethylene molecules with two-mode mixing.

Conclusions:

  • The developed formalism accurately calculates internal conversion rates, including the Duschinsky rotation effect.
  • This method offers a practical and effective way to study excited-state dynamics in complex molecular systems.
  • The approach is suitable for multimode mixing scenarios, enhancing theoretical chemistry capabilities.