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Extended method for adiabatic mode reordering.

Christofer S Tautermann1, Andreas F Voegele, Thomas Loerting

  • 1Institute of General, Inorganic and Theoretical Chemistry, University of Innsbruck, Innrain 52a, A-6020 Innsbruck, Austria.

Journal of Computational Chemistry
|January 28, 2003
PubMed
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This study presents an improved algorithm for adiabatic mode reordering, crucial for reaction valley studies. The new method reliably resolves frequency crossings using perturbation theory, enhancing computational accuracy.

Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Vibrational mode reordering is essential for reaction valley studies and tunneling effect calculations.
  • Existing algorithms, like Konkoli et al.'s, face numerical challenges at frequency crossings.

Purpose of the Study:

  • To develop an extended adiabatic mode reordering algorithm.
  • To address and overcome numerical instabilities in previous methods, particularly at frequency crossings.

Main Methods:

  • Utilizing cubic splines for interpolating force constant matrices to enable larger step sizes.
  • Employing perturbation theory to accurately resolve frequency crossings and avoided crossings.

Main Results:

  • The enhanced algorithm demonstrates reliable resolution of mode crossings and avoided crossings, irrespective of system symmetry.

Related Experiment Videos

  • Larger step sizes are feasible along the minimum energy path, improving computational efficiency.
  • The limitations of the maximal overlap method at nearby eigenvalues are theoretically explained.

    • Conclusions:

    • The new perturbative procedure offers a more robust solution for adiabatic mode reordering.
    • Caution is advised when handling eigenvectors associated with nearby eigenvalues in computational chemistry.
    • This advancement improves the accuracy and efficiency of vibrational analysis in chemical reaction studies.