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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Quantum tunneling splittings from path-integral molecular dynamics.

Edit Mátyus1, David J Wales1, Stuart C Althorpe1

  • 1Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.

The Journal of Chemical Physics
|March 24, 2016
PubMed
Summary

Path-integral molecular dynamics calculates molecular tunnelling splittings using density matrix ratios. A thermodynamic integration scheme efficiently evaluates these elements, agreeing well with diffusion Monte Carlo methods.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Molecular dynamics

Background:

  • Calculating ground-state tunnelling splittings is crucial for understanding molecular behavior.
  • Accurate methods are needed for complex molecular systems.

Purpose of the Study:

  • To demonstrate path-integral molecular dynamics for ground-state tunnelling splittings.
  • To introduce a thermodynamic integration scheme for evaluating density matrix elements.

Main Methods:

  • Utilizing path-integral molecular dynamics.
  • Calculating tunnelling splittings from ratios of density matrix elements.
  • Employing a thermodynamic integration scheme.

Main Results:

  • The method successfully calculates ground-state tunnelling splittings.
  • Numerical tests on malonaldehyde show good agreement with diffusion Monte Carlo.
  • The proposed scheme efficiently evaluates necessary matrix elements.

Conclusions:

  • Path-integral molecular dynamics is a viable method for tunnelling splittings.
  • The thermodynamic integration scheme provides accurate and efficient calculations.
  • This approach offers a reliable tool for molecular quantum dynamics.