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Updated: May 28, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Communication: orbital instabilities and triplet states from time-dependent density functional theory and long-range
John S Sears1, Thomas Koerzdoerfer, Cai-Rong Zhang
1School of Chemistry and Biochemistry and Center for Organic Photonics and Electronics, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA.
Long-range corrected hybrid functionals are not recommended for time-dependent density functional theory (TDDFT) triplet excited states due to instabilities. These density functional theory (DFT) methods show high sensitivity to range-separation parameters, impacting triplet energy accuracy.
Area of Science:
- Quantum Chemistry
- Computational Chemistry
- Theoretical Chemistry
Background:
- Long-range corrected (LRC) hybrid functionals are widely used in density functional theory (DFT) for chemical applications.
- These functionals have shown success in describing various electronic properties.
Purpose of the Study:
- To evaluate the performance of LRC hybrid functionals for time-dependent DFT (TDDFT) calculations of triplet excited states.
- To identify potential issues and limitations of these functionals in describing triplet states.
Main Methods:
- Utilized TDDFT framework to investigate triplet excited states.
- Employed various LRC hybrid functionals with different range-separation parameters.
- Analyzed the sensitivity of triplet energies to the range-separation parameter.
Main Results:
- Triplet energies calculated using LRC functionals are highly sensitive to the range-separation parameter.
- This sensitivity arises from ground-state triplet instabilities inherent in these functionals.
- Large amounts of Hartree-Fock exchange in LRC functionals contribute to these instabilities.
Conclusions:
- Standard LRC hybrid functionals are not recommended for TDDFT descriptions of triplet excited states.
- Careful consideration of functional choice and parameterization is needed for accurate triplet state calculations.
- Further development of DFT functionals may be required for reliable triplet state predictions.
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