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Updated: May 4, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Excited states using the simplified Tamm-Dancoff-Approach for range-separated hybrid density functionals: development
Tobias Risthaus1, Andreas Hansen, Stefan Grimme
1Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Universität Bonn, Beringstr. 4, D-53115 Bonn, Germany. grimme@thch.uni-bonn.de.
The screened Tamm-Dancoff Approximation (sTDA) method now computes excitation spectra for large molecules using range-separated hybrid (RSH) functionals. This advancement offers accurate results for complex systems in materials and biomolecular science.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Spectroscopy
Background:
- Accurate computation of electronic excitation spectra is crucial for understanding molecular properties.
- Existing methods struggle with large molecular systems and specific types of electronic transitions.
- Range-separated hybrid (RSH) density functionals offer improved accuracy for certain electronic properties.
Purpose of the Study:
- To extend the screened Tamm-Dancoff Approximation (sTDA) methodology to range-separated hybrid (RSH) functionals.
- To enable accurate computation of excitation spectra for large molecular systems.
- To assess the performance of the new sTDA-RSH method against theoretical benchmarks.
Main Methods:
- Empirical parameters for screened two-electron interaction were fitted for common RSH functionals (e.g., CAM-B3LYP, ωB97 family).
- Method was validated using theoretical SCS-CC2 reference vertical excitation energies.
- Cross-validation performed on charge transfer states and valence transitions in various molecular systems.
Main Results:
- The sTDA-RSH method achieved small deviations (0.2-0.4 eV) from reference data.
- CAM-B3LYP and ωB97X-D3 functionals showed the best performance.
- Successfully computed 11,000+ excited states for a 330-atom system, demonstrating scalability.
Conclusions:
- The extended sTDA-RSH methodology provides accurate excitation spectra for large molecules.
- This approach offers superior results compared to global hybrid functionals for excited states.
- Opens new avenues for computational studies in materials science and biomolecular systems.
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