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Related Experiment Videos

Marching along ridges. An extrapolatable approach to locating conical intersections.

David R Yarkony1

  • 1Department of Chemistry, Johns Hopkins University, Baltimore, MD 21218, USA. yarkony@jhu.edu

Faraday Discussions
|October 9, 2004
PubMed
Summary

Researchers developed a new method to efficiently find conical intersections by using an orthogonalization procedure. This approach ensures key search parameters vary smoothly, improving convergence for computational chemistry calculations.

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Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Chemistry

Background:

  • Conical intersections are singular points in nuclear coordinate space, posing challenges for computational searches.
  • Irregular variations in energy gradients, gradients of energy differences, and coupling vectors hinder efficient convergence.
  • Existing extrapolation methods are often inefficient due to the irregular nature of these parameters near conical intersections.

Purpose of the Study:

  • To develop novel search algorithms for locating energy-minimized conical intersections more efficiently.
  • To address the challenge of irregular parameter variations in the vicinity of conical intersections.
  • To improve the convergence speed of computational searches for conical intersections.

Main Methods:

Related Experiment Videos

  • Utilized a previously introduced orthogonalization procedure for the branching (g-h) space.
  • Designed new search algorithms incorporating this orthogonalization procedure.
  • Focused on ensuring key search parameters become slowly varying functions along the search path.

    • Main Results:

    • Demonstrated that the orthogonalization procedure leads to slowly varying search parameters.
    • The proposed method effectively navigates the topographical landscape of conical intersections.
    • Achieved improved efficiency in locating energy-minimized conical intersections compared to traditional methods.

    Conclusions:

    • The orthogonalization procedure offers an efficient strategy for designing search algorithms for conical intersections.
    • This approach enhances convergence by ensuring smooth variations in critical search parameters.
    • The method provides a topographical perspective of 'walking along a path parallel to the ridge of conical intersections'.