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Updated: Oct 29, 2025

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Method for Calculating Excited Electronic States Using Density Functionals and Direct Orbital Optimization with Real
Aleksei V Ivanov1, Gianluca Levi1, Elvar Ö Jónsson1
1Science Institute and Faculty of Physical Sciences, University of Iceland, VR-III, 107 Reykjavík, Iceland.
A new direct orbital optimization method accurately calculates excited electronic states using density functional theory. This approach enhances convergence for challenging calculations, including charge-transfer and metal-centered excitations.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Materials Science
Background:
- Accurate calculation of excited electronic states is crucial for understanding photochemistry and photophysics.
- Traditional methods often struggle with convergence for complex systems and specific excitation types.
Purpose of the Study:
- To present a direct orbital optimization method for calculating excited electronic states.
- To enable accurate computation of atomic forces in excited states.
- To apply the method to various challenging chemical systems.
Main Methods:
- A variational direct orbital optimization approach using real space grids or plane-wave basis sets.
- Implementation involves nested loops for Kohn-Sham (KS) and orbital-density-dependent (ODD) functionals.
- Combines with the maximum overlap method for improved convergence.
Main Results:
- Demonstrates convergence in challenging cases where conventional methods fail.
- Successfully calculates charge-transfer excitations, excitations to degenerate orbitals, and metal-centered excited states.
- Analyzes the impact of self-interaction correction on excited states.
Conclusions:
- The developed method offers a robust and accurate approach for excited state calculations.
- It provides reliable atomic forces, crucial for dynamics simulations.
- Applicable to a wide range of systems, including photosensitizers and molecules with self-interaction errors.
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