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An efficient algorithm for capturing quantum effects in classical reactive scattering: application to D + H+3 → H2D+

Matthew Braunstein1, Laurent Bonnet2

  • 1Spectral Sciences Incorporated, 4 Fourth Avenue, Burlington, MA 01824, USA. matthew.braunstein@spectral.com.

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We developed a new algorithm to include zero-point energy (ZPE) effects in classical reactive scattering simulations. This method accurately calculates rate constants for the D + H+3 reaction, matching experimental and other theoretical results.

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Area of Science:

  • * Chemical Physics
  • * Theoretical Chemistry
  • * Computational Chemistry

Background:

  • * Accurate calculation of reaction thresholds requires considering quantum effects like zero-point energy (ZPE).
  • * Previous methods for including ZPE in classical reactive scattering have limitations.
  • * The D + H+3 reaction is important in astrophysics and exhibits significant quantum effects.

Purpose of the Study:

  • * To present an efficient algorithm for incorporating ZPE effects into classical reactive scattering.
  • * To apply this new algorithm to the astrophysically relevant D + H+3 reaction.
  • * To validate the algorithm by comparing its results with experimental and other theoretical methods.

Main Methods:

  • * Extension of the quasi-classical trajectory (QCT) Gaussian binning method.
  • * Inclusion of zero-point energy (ZPE) effects in classical reactive scattering.
  • * Application to the D + H+3 reaction system.

Main Results:

  • * The developed algorithm efficiently includes ZPE effects in classical reactive scattering.
  • * Computed rate constants for the D + H+3 reaction closely match experimental data.
  • * Results also align well with Ring Polymer Molecular Dynamics (RPMD) calculations.

Conclusions:

  • * The new general algorithm provides an efficient way to include ZPE effects in classical reactive scattering.
  • * The method is accurate for systems with significant quantum effects, like D + H+3.
  • * This approach offers a reliable alternative for studying chemical reactions where other methods are problematic.