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Incorporation of Internal Coordinates Interpolation into the Freezing String Method.

Jonah Marks1, Joseph Gomes1

  • 1Department of Chemical and Biochemical Engineering University of Iowa, Iowa City, Iowa 52242, United States.

Journal of Chemical Theory and Computation
|November 22, 2025
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Summary
This summary is machine-generated.

This study introduces an enhanced freezing string method (FSM) for finding transition states in chemical reactions. The improved FSM significantly reduces computational cost by nearly 50% while achieving a 100% success rate.

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Area of Science:

  • Computational Chemistry
  • Chemical Reaction Dynamics

Background:

  • Accurate determination of transition states is crucial for understanding chemical reaction mechanisms.
  • Existing methods for generating initial guesses for transition state searches can be computationally expensive and may fail for complex systems.

Purpose of the Study:

  • To develop and validate an improved freezing string method (FSM) for more reliable and efficient transition state (TS) searches.
  • To reduce the computational cost associated with transition state calculations.

Main Methods:

  • Incorporation of internal coordinate interpolation into the freezing string method (FSM).
  • Testing the enhanced FSM on over 40 diverse chemical reactions across three benchmark datasets.
  • Comparison with methods using linear synchronous transit (LST) interpolation.

Main Results:

  • The enhanced FSM demonstrates improved reliability and enables larger interpolation step sizes.
  • A reduction in computational cost by nearly 50% was achieved due to fewer optimization steps per cycle.
  • A 100% success rate was maintained on benchmark chemical reaction test cases, including challenging systems where LST failed.

Conclusions:

  • The internal coordinate interpolation significantly enhances the performance and efficiency of the FSM for transition state searches.
  • The developed method offers a robust and computationally cheaper alternative for exploring reaction pathways.
  • An open-source Python implementation of the FSM and associated data are provided for community use.