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Algorithms for sampling a quantum microcanonical ensemble of harmonic oscillators at potential minima and conical
Kyoyeon Park1, Joshua Engelkemier, Maurizio Persico
1Department of Chemistry and Biochemistry, Texas Tech University, Lubbock, Texas 79409-1061, United States.
New algorithms enable sampling quantum microcanonical ensembles for chemical dynamics simulations. This approach models non-adiabatic dynamics and allows comparison with quantum Rice-Ramsperger-Kassel-Marcus theory.
Area of Science:
- Quantum Chemistry
- Chemical Dynamics
- Computational Chemistry
Background:
- Quantum Rice-Ramsperger-Kassel-Marcus (RRKM) theory is a standard model for unimolecular reaction dynamics.
- Simulating chemical dynamics requires accurate initialization of quantum ensembles.
- Understanding non-adiabatic dynamics is crucial for complex chemical reactions.
Purpose of the Study:
- To develop algorithms for sampling quantum microcanonical ensembles.
- To provide initial conditions for chemical dynamics simulations.
- To enable comparison between simulated dynamics and RRKM theory.
Main Methods:
- Algorithms for sampling quantum microcanonical ensembles at potential energy minima.
- Algorithms for sampling ensembles at conical intersections.
- Trajectory surface-hopping approach for non-adiabatic dynamics.
Main Results:
- Ensembles can initialize trajectories for chemical dynamics simulations.
- Allows comparison of unimolecular dynamics with quantum RRKM theory.
- Models non-adiabatic dynamics at conical intersections, including zero-point energy.
Conclusions:
- The developed algorithms facilitate accurate initialization of quantum dynamics simulations.
- The approach allows for the investigation of non-RRKM dynamics and long-lived states.
- Provides a robust model for studying electronic non-adiabatic dynamics at conical intersections.
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