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Updated: Aug 29, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Performance of Multilevel Methods for Excited States
Bence Hégely1,2, Ádám B Szirmai3, Dávid Mester1,2
1Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3, H-1111 Budapest, Hungary.
Local domain-based ADC(2) [L-ADC(2)] offers the most reliable modeling of electronic excited states. Other methods like ONIOM-ME and ONIOM-EE are less robust, while PbE, FDE, and PCE show potential but lack precision.
Area of Science:
- Computational chemistry
- Quantum chemistry
- Theoretical chemistry
Background:
- Multilevel quantum chemical approaches are crucial for modeling electronic excited states.
- Atom-based system partitioning schemes are commonly used in these methods.
- Accurate modeling of excited states is essential for understanding chemical processes.
Purpose of the Study:
- To evaluate the performance of various atom-based multilevel quantum chemical methods for modeling electronic excited states.
- To compare the accuracy and robustness of different embedding techniques.
- To identify the most reliable and cost-efficient methods for high-accuracy excitation energy calculations.
Main Methods:
- The study employed the second-order algebraic-diagrammatic construction [ADC(2)] as the high-level method.
- Several embedding techniques were assessed: mechanical-embedding (ME) and electronic-embedding (EE) of ONIOM, point charge embedding (PCE), frozen density-embedding (FDE), and projector-based embedding (PbE).
- The XH-27 test set, featuring organic dyes interacting with solvent molecules, was used for the assessment.
Main Results:
- Local domain-based ADC(2) [L-ADC(2)] demonstrated the highest reliability for modeling excited states.
- ONIOM-ME and ONIOM-EE were found to be the least robust methods.
- PbE, FDE, and PCE techniques achieved accuracy comparable to L-ADC(2) but exhibited lower precision.
Conclusions:
- L-ADC(2) is the most reliable approach for modeling electronic excited states among the tested methods.
- Improvements in subsystem selection or the inclusion of charge-transfers are needed for atom-based methods to achieve high accuracy.
- Further development is required for cost-efficient methods to match the precision of L-ADC(2).
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