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This study confirms that chemical ratios in trajectory calculations converge across various periodic orbit dividing surface radii. This validates a method for detecting dynamical matching in chemical reactions, applicable to other models.

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Area of Science:

  • Chemical Dynamics
  • Computational Chemistry
  • Physical Chemistry

Background:

  • Previous work utilized periodic-orbit dividing surfaces (PODS) to analyze reactive and nonreactive trajectories on a 3D Caldera potential-energy surface.
  • The phenomenon of dynamical matching was previously observed for a specific PODS radius (r=0.25).

Purpose of the Study:

  • To demonstrate the convergence of chemical ratios for reactive and nonreactive trajectories across a range of PODS radii.
  • To validate the robustness of the PODS method in detecting dynamical matching.
  • To explore the applicability of the PODS method to other Hamiltonian systems.

Main Methods:

  • Extension of the periodic-orbit dividing surfaces (PODS) method.
  • Analysis of trajectory data on a 3D Caldera potential-energy surface.
  • Calculation of chemical ratios (reactive/nonreactive trajectories to total trajectories).

Main Results:

  • Chemical ratios demonstrated convergence for a range of PODS radii (r).
  • Dynamical matching was confirmed to be detectable independently of the chosen PODS radius.
  • The findings support the general applicability of the PODS method.

Conclusions:

  • The periodic-orbit dividing surfaces method reliably detects dynamical matching across various radii.
  • This validates previous findings and supports the method's use in diverse chemical reaction models.
  • The study enhances confidence in applying PODS to new Hamiltonian systems.