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Efficient and Adaptive Methods for Computing Accurate Potential Surfaces for Quantum Nuclear Effects: Applications to
Nicole DeGregorio1, Srinivasan S Iyengar1
1Department of Chemistry and Department of Physics, Indiana University , 800 E. Kirkwood Avenue, Bloomington, Indiana 47405, United States.
New sampling measures efficiently map potential energy surfaces for quantum dynamics. This method accurately models hydrogen-transfer reactions and hydrogen-bonded systems, reducing computational costs.
Area of Science:
- Computational Chemistry
- Quantum Dynamics
- Theoretical Chemistry
Background:
- Accurate potential energy surfaces (PES) are crucial for understanding molecular behavior.
- Efficient sampling of complex PES, especially in anharmonic systems, remains a challenge.
Purpose of the Study:
- To develop novel sampling measures for efficient and accurate characterization of potential energy surfaces.
- To apply these measures to study quantum nuclear effects in hydrogen-transfer reactions and hydrogen-bonded systems.
Main Methods:
- Utilized quantum wavepacket density, PES, gradients, and Shannon information entropy for directed sampling.
- Developed a tessellation scheme for discretizing multidimensional space.
- Employed Hermite, Lagrange, Monomial Symmetrization Approximation (MSA), and Shepard interpolation methods.
Main Results:
- Successfully computed potential surfaces for anharmonic hydrogen-bonded systems.
- Investigated hydrogen-transfer reactions in isoprene, revealing significant quantum nuclear effects.
- Demonstrated accurate modeling of local oscillation frequencies (Nyquist frequency) of PES.
Conclusions:
- The proposed sampling method significantly reduces computational effort for quantum dynamics studies.
- The approach provides accurate potential surfaces, facilitating the study of quantum nuclear dynamics.
- The method shows great utility for investigating hydrogen-transfer reactions and hydrogen-bonded systems.
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