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Updated: May 19, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
A generalised 17-state vibronic-coupling Hamiltonian model for ethylene
Joaquim Jornet-Somoza1, Benjamin Lasorne, Michael A Robb
1Institut Charles Gerhardt Montpellier, Université Montpellier 2, CC 15001, Place Eugène Bataillon, 34095 Montpellier, France. j.jornet.somoza@gmail.com
This study models ethylene
Area of Science:
- Computational Chemistry
- Theoretical Chemistry
- Quantum Chemistry
Background:
- Previous work established 17 dominant configurations for ethylene's electronic structure.
- A strategy was developed for a 17-quasidiabatic-state Hamiltonian using dynamical symmetry.
Purpose of the Study:
- To develop a generalized vibronic-coupling Hamiltonian model for ethylene.
- To incorporate dynamic electron correlation for improved Rydberg state energetics.
- To validate the quasidiabatic states by comparing with experimental spectra.
Main Methods:
- Fitted potential energy surfaces using a generalized vibronic-coupling Hamiltonian model.
- Inclusion of dynamic electron correlation via multireference configuration interaction.
- Quantum dynamics calculations for the absorption spectrum.
Main Results:
- A two-dimensional model for CC bond stretching and torsion was developed.
- Improved energetics for Rydberg states were achieved.
- The calculated absorption spectrum shows good agreement with experimental data.
Conclusions:
- The chosen quasidiabatic states are validated by the model's accuracy.
- The 2D model provides a good approximation of ethylene's experimental absorption spectrum.
- This approach offers a robust framework for studying vibronic couplings in molecules.
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