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Updated: Sep 16, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Excited-state methods based on state-averaged long-range CASSCF short-range DFT
Benjamin Helmich-Paris1, Erik Rosendahl Kjellgren2, Hans Jørgen Aa Jensen2
1Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany. helmichparis@kofo.mpg.de.
Two new methods, SA-CAS-srDFT and CI-srDFT, calculate excited states using density functional theory. CI-srDFT shows improved accuracy for organic molecules, offering a more reliable approach for electronic excitation energy calculations.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Theoretical Chemistry
Background:
- Accurate calculation of excited states is crucial for understanding molecular properties and reactions.
- Existing methods like CASSCF-DFT have limitations in accuracy and applicability, especially for complex systems.
Purpose of the Study:
- To develop and evaluate novel state-averaging (SA)-based methodologies for calculating excited states.
- To compare the performance of these new methods against existing approaches for various molecular systems.
Main Methods:
- Proposed two distinct state-averaging (SA)-based methodologies: SA-CAS-srDFT and CI-srDFT.
- Utilized a long-range complete active space self-consistent field (CASSCF) short-range density functional theory (DFT) approach (CAS-srDFT).
- Employed total one-body and on-top pair density (OTPD) for final energy evaluation and benchmarked against multiconfiguration pair-density functional theory (MC-PDFT).
Main Results:
- CI-srDFT provides physically correct potential curves for ethylene, unlike SA-CAS-srDFT.
- CI-srDFT exhibits reduced dependence of excitation energies on the number of states averaged.
- CI-srDFT achieved a mean absolute error of 0.17 eV for singlet excitation energies of organic chromophores using the sr-ctPBE functional.
- The developed methods showed impressive accuracy for organic molecules but were not transferable to transition-metal complexes.
Conclusions:
- CI-srDFT is a more accurate and reliable method for calculating excited states of organic molecules compared to SA-CAS-srDFT.
- Current CASSCF-DFT and MC-PDFT methods do not consistently improve upon CASSCF excitation energies, particularly for transition-metal complexes.
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