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A new diabatization scheme for direct quantum dynamics: Procrustes diabatization.

Gareth W Richings1, Scott Habershon1

  • 1Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom.

The Journal of Chemical Physics
|April 24, 2020
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We introduce Procrustes diabatization, a new computational method for electronic potential energy surfaces. This approach accurately models non-adiabatic dynamics by generating smooth surfaces and precise interstate couplings.

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Area of Science:

  • Computational chemistry
  • Quantum dynamics
  • Theoretical chemistry

Background:

  • Accurate modeling of molecular systems requires diabatization of electronic potential energy surfaces.
  • Existing methods for diabatization have limitations in generating smooth surfaces and accurately reproducing interstate couplings.

Purpose of the Study:

  • To present a novel diabatization scheme, Procrustes diabatization, for computational nuclear quantum dynamics.
  • To evaluate the performance of Procrustes diabatization against established methods.

Main Methods:

  • Implementation of Procrustes diabatization within direct-dynamics grid-based computational nuclear quantum dynamics methods.
  • Comparative calculations on LiF and the butatriene cation using Procrustes diabatization, propagation, and projection diabatization schemes.

Main Results:

  • Procrustes diabatization generates smooth potential energy surfaces that correctly cross at molecular geometries.
  • The new method accurately reproduces interstate couplings, outperforming older approaches.
  • Successful modeling of non-adiabatic dynamics was achieved using Procrustes diabatization.

Conclusions:

  • Procrustes diabatization offers a superior approach for diabatizing electronic potential energy surfaces.
  • This method effectively combines the advantages of previous diabatization techniques.
  • The accurate modeling of non-adiabatic dynamics is crucial for understanding chemical reactions.