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Some Mathematical Reasoning on the Artificial Force Induced Reaction Method.

Wolfgang Quapp1, Josep Maria Bofill2

  • 1Leipzig University, Mathematisches Institut, Universität Leipzig, PF 100920, D-04009, Leipzig, Germany.

Journal of Computational Chemistry
|December 4, 2019
PubMed
Summary

This study theoretically examines the Artificial Force Induced Reaction (AFIR) method, clarifying its parameter understanding by comparing it with Newton trajectories. The research demonstrates AFIR

Keywords:
AFIRNewton trajectorybarrier breakdown pointeffective potential energy surfacemechanochemistrysaddle point

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Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Reaction Pathway Analysis

Background:

  • The Artificial Force Induced Reaction (AFIR) method, developed by the Maeda-Morokuma group, is a significant computational tool.
  • Existing understanding of AFIR parameters does not utilize the barrier breakdown point, typically halfway between a minimum and a transition state.

Purpose of the Study:

  • To theoretically investigate and enhance the understanding of the Artificial Force Induced Reaction (AFIR) method.
  • To clarify the role and application of AFIR parameters by comparing them with established theoretical frameworks.

Main Methods:

  • Theoretical analysis of the Artificial Force Induced Reaction (AFIR) method.
  • Comparison of AFIR with the theory of Newton trajectories.
  • Calculation of full AFIR pathways on well-known two-dimensional test surfaces.

Main Results:

  • A clearer theoretical understanding of the AFIR method is achieved through comparison with Newton trajectories.
  • The study confirms AFIR's capability to trace reaction pathways from minima to saddle points and vice versa.
  • Analysis of AFIR pathways on test surfaces provides insights into the method's behavior and ansatz.

Conclusions:

  • The theoretical investigation provides a refined understanding of the Artificial Force Induced Reaction (AFIR) method.
  • The comparison with Newton trajectories offers a valuable perspective on AFIR parameter interpretation.
  • AFIR is confirmed as a viable method for exploring reaction dynamics between critical points.