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  1. Home
  3. Fully Analytic Nuclear Gradients For The Bethe-salpeter Equation.
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  3. Fully Analytic Nuclear Gradients For The Bethe-salpeter Equation.

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Fully Analytic Nuclear Gradients for the Bethe-Salpeter Equation.

Johannes Tölle1, Marios-Petros Kitsaras2, Pierre-François Loos2

  • 1Department of Chemistry, University of Hamburg; The Hamburg Centre for Ultrafast Imaging (CUI), Hamburg 22761, Germany.

The Journal of Physical Chemistry Letters
|October 17, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

This study introduces analytic nuclear gradients for the Bethe-Salpeter equation (BSE) at the G0W0 level, enhancing computational efficiency for predicting molecular optical excitations. The new method offers accurate excited-state properties, improving molecular electronic structure calculations.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Theoretical Physics

Background:

  • The Bethe-Salpeter equation (BSE) formalism combined with the GW approximation is a powerful tool for calculating molecular optical excitations.
  • Accurate prediction of excited-state properties is crucial for understanding molecular behavior and designing new materials.

Purpose of the Study:

  • To derive and implement fully analytic nuclear gradients for the BSE@G0W0 method.
  • To enhance the efficiency and accuracy of calculating optical excitations in molecules.
  • To provide a robust computational tool for excited-state geometry optimizations and property predictions.

Main Methods:

  • Derivation of analytic nuclear gradients for various BSE@G0W0 variants.
  • Implementation of the derived gradients within a computational chemistry framework.
  • Validation of the implementation using numerical gradients.
  • Comparison with state-of-the-art wave function methods for accuracy assessment.

    • Main Results:

    • Successful derivation and implementation of the first fully analytic nuclear gradients for BSE@G0W0.
    • Validation of the analytic gradients against numerical counterparts, showing good agreement.
    • Comparison of excited-state geometries and adiabatic excitation energies from different BSE@G0W0 variants.

    Conclusions:

    • The developed analytic nuclear gradients for BSE@G0W0 offer an efficient and accurate approach for predicting molecular optical excitations.
    • This advancement facilitates more reliable excited-state geometry optimizations and property calculations.
    • The method provides a valuable tool for theoretical investigations in computational chemistry and materials science.