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A growing string method for the reaction pathway defined by a Newton trajectory.

Wolfgang Quapp1

  • 1Mathematical Institute, University of Leipzig, Germany. quapp@rz.uni-leipzig.de

The Journal of Chemical Physics
|May 25, 2005
PubMed
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This study introduces a novel computational method combining Newton trajectory (NT) following with the growing string (GS) technique for efficient reaction path calculations in theoretical chemistry. This approach significantly reduces iterations needed to find reaction pathways over saddle points.

Area of Science:

  • Theoretical Chemistry
  • Computational Chemistry
  • Chemical Dynamics

Background:

  • Reaction path calculations are crucial for understanding chemical transformations.
  • Traditional methods for finding reaction pathways can be computationally intensive.
  • The Newton trajectory (NT) and growing string (GS) methods are established techniques for exploring potential energy surfaces.

Purpose of the Study:

  • To develop and present a novel computational method for determining reaction paths.
  • To improve the efficiency of finding reaction pathways, especially over saddle points.
  • To combine the strengths of Newton trajectory following and the growing string method.

Main Methods:

  • A new computational scheme combining a projection operator for Newton trajectory (NT) following with the growing string (GS) method is proposed.

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  • The numerical scheme adapts the growing string proposal by Peters et al. (2004).
  • Two corrector methods are employed: projected gradient steps and a generalized conjugated gradient (CG+) method.

    • Main Results:

    • The combined growing string-Newton trajectory (GS-NT) method significantly reduces the number of iterations required to find reaction pathways.
    • The method was successfully applied to Lennard-Jones clusters (LJ(7) and LJ(22)).
    • The GS-NT method was interfaced with the GAUSSIAN03 quantum chemical software package for calculations on alanine dipeptide.

    Conclusions:

    • The novel GS-NT method offers an improved and efficient approach for reaction path calculations.
    • This method provides a significant computational saving in terms of iterations.
    • The successful application to molecular systems demonstrates the practical utility of the developed technique.