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In the context of quantum mechanical calculations, the properties of non-adiabatic coupling in a small system, the Shin-Metiu model, is investigated.
The transition from adiabatic to non-adiabatic dynamics is elucidated in modifying the electron-nuclear interaction. This allows the comparison of weakly correlated electron-nuclear motion with the case where the strong correlations determine the dynamics.
The studies of the model are extended to include spectroscopical transitions being present in two-dimensional and degenerate four-wave mixing spectroscopy.
Furthermore, the quantum and classical time-evolution of the coupled motion in the complete electron-nuclear phase space is compared for the two coupling cases.
Additionally, the numerically exact electron flux within the weak coupling case is compared to the Born-Oppenheimer treatment.
In the last part of the thesis, the model is extended to two dimensions.
The system then possesses potential energy surfaces which exhibit a typical 'Mexican hat'-like structure and a conical intersection in the adiabatic representation.
Thus, it is possible to map properties of the system onto a vibronic coupling (Jahn-Teller) hamiltonian. Exact wave-packet propagations as well as nuclear wave-packet dynamics in the adiabatic and diabatic representation are performed.
The aim of this thesis was to develop new automatic enhanced sampling methods by extending the idea of Parrinello’s metadynamics to multistate problems and by introducing new quantum-mechanical electronic collective variables. These methods open up a rich perspective for applications to the photophysical processes in complex molecular systems, which play a major role in many natural processes such as vision and photosynthesis, but also in the development of new materials for organic electronics, whose function depends on specific electronic properties such as biradicalicity.
The life of an exciton: From ultrafast nonradiative relaxation to high quantum yield fluorescence
(2023)
This thesis focuses on understanding and predicting processes in chromophores after electronic state excitation, particularly the impact on luminescence - the spontaneous emission of light. It considers the effect of processes preceding luminescence on emission properties, which are challenging to predict, especially in complex aggregates.
For example, excitation energy transfer is a crucial process in understanding luminescence, as it allows the emission to occur from different molecular units than where the absorption occurs. This can lead to significant shifts in emission wavelength and fluorescence quantum yields. The thesis offers solutions to model this process effectively, understanding the impact of excitation energy and exciton coupling disorder on energy transfer rates and linking simulated energy transfer to experimental measurements.
The work further explores excimer formation - an undesired luminescence loss channel due to its significant stabilization of the electronic state. Usually, the molecules obey a stacked conformation with parallel orientation to maximize the orbital overlap. This energetic lowering of the excited state can often result in trapping of the dimer in this state due to a deep minimum on the potential energy surface. The excimer formation dynamics, structural rearrangement, and its influence on singlet-correlated triplet pair states formation, critical for the singlet-fission process, have been extensively studied.
The thesis also focuses on another luminescence loss channel triggered by conical intersections between the electronic ground and the first excited states. A new model is introduced to overcome limitations in current simulation methods, considering the solvent's electrostatic and frictional effects on the barriers. The model accurately describes merocyanine dyes' solvent-dependent photoluminescence quantum yields and characterizes all relaxation channels in different BODIPY oligomer series.
Theory and simulation of ultrafast autodetachment dynamics and nonradiative relaxation in molecules
(2024)
In this thesis, theoretical approaches for the simulation of electron detachment processes in molecules following vibrational or electronic excitation are developed and applied. These approaches are based on the quantum-classical surface-hopping methodology, in which nuclear motion is treated classically as an ensemble of trajectories in the potential of quantum-mechanically described electronic degrees of freedom.