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We study the influence of nodal structures in two-dimensional quantum mechanical densities on wave packet entanglement. This is motivated by our recent study [Entropy, 25, 970 (2023)], which showed that the mutual information derived from the momentum-space probability density of a coupled two-particle system exhibits an unusual time dependence, which is not encountered if the position-space density is employed in the calculation. In studying a model density, here, we identify cases where the mutual information increases with the number of nodes in the wave function and approaches a finite value, whereas in this limit, the linear correlation vanishes. The results of the analytical model are then applied to interpret the correlation measures for coupled electron-nuclear dynamics, which are treated by numerically solving the time-dependent Schrödinger equation.
In the present report, well-defined WO3 nanorods (NRs) and a rGO–WO\(_3\) composite were successfully synthesized using a one-pot hydrothermal method. The crystal phase, structural morphology, shape, and size of the as-synthesized samples were studied using X-ray diffraction (XRD) and transmission electron microscopy (TEM) measurements. The optical properties of the synthesized samples were investigated by Raman, ultraviolet-visible (UV-Vis) and photoluminescence (PL) spectroscopy. Raman spectroscopy and TEM results validate the formation of WO\(_3\) (NRs) on the rGO sheet. The value of the dielectric constant (ε′) of WO3 NRs and rGO–WO\(_3\) composite is decreased with an increase in frequency. At low frequency (2.5 to 3.5 Hz), the value of ε′ for the rGO–WO3 composite is greater than that of pure WO\(_3\) NRs. This could be due to the fact that the induced charges follow the ac signal. However, at higher frequency (3.4 to 6.0), the value of ε′ for the rGO–WO\(_3\) composite is less compared to that of the pure WO3 NRs. The overall decrease in the value of ε′ could be due to the occurrence of a polarization process at the interface of the rGO sheet and WO3 NRs. Enhanced interfacial polarization in the rGO–WO\(_3\) composite is observed, which may be attributed to the presence of polar functional groups on the rGO sheet. These functional groups trap charge carriers at the interface, resulting in an enhancement of the interfacial polarization. The value of the dielectric modulus is also calculated to further confirm this enhancement. The values of the ac conductivity of the WO\(_3\) NRs and rGO–WO\(_3\) composite were calculated as a function of the frequency. The greater value of the ac conductivity in the rGO–WO\(_3\) composite compared to that of the WO\(_3\) NRs confirms the restoration of the sp:\(^{++}\) network during the in situ synthesis of the rGO–WO\(_3\) composite, which is well supported by the results obtained by Raman spectroscopy.
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.
This work aims at elucidating chemical processes involving homogeneous catalysis and photo–physical relaxation of excited molecules in the solid state. Furthermore, compounds with supposedly small singlet–triplet gaps and therefore biradicaloid character are investigated with respect to their electro–chemical behavior. The work on hydroboration catalysis via a reduced 9,10–diboraanthracene (DBA) was preformed in collaboration with the Wagner group in Frankfurt, more specifically Dr. Sven Prey, who performed all laboratory experiments. The investigation of delayed luminescence properties in arylboronic esters in their solid state was conducted in collaboration with the Marder group in Würzburg. The author of this work took part in the synthesis of the investigated compounds while being supervised by Dr. Zhu Wu. The final project was a collaboration with the group of Anukul Jana from Hyderabad, India who provided the experimental data.
In this thesis, we apply the information-theoretic approach in the context of quantum dynamics and wave packet motion: Information-theoretic measures are calculated from position and momentum densities, which are obtained from time-dependent quantum wave functions. The aim of this thesis is to benchmark, analyze and interpret these quantities and relate their features to the wave packet dynamics. Firstly, this is done for the harmonic oscillator (HO) with and without static disorder. In the unperturbed HO, the analytical study of coherent and squeezed states reveals time-dependent entropy expressions related to the localization of the wave function. In the disordered HO, entropies from classical and quantum dynamics are compared for short and long times. In the quantum case, imprints of wave packet revivals are found in the entropy. Then, the energy dependence of the entropy for very long times is discussed. Secondly, this is donefor correlated electron-nuclear motion. Here, entropies derived from the total, electronic and nuclear density, respectively, are calculated in position and momentum space for weak and strong adiabatic electronic coupling. The correlation between electron and nucleus is investigated using different correlation measures, where some of these functions are sensitive to the nodal structure of the wave function. An analytic ansatz to interpret the information-theoretical quantities is applied as well.
Excitons in atomically thin transition-metal dichalcogenides (TMDs) have been established as an attractive platform to explore polaritonic physics, owing to their enormous binding energies and giant oscillator strength. Basic spectral features of exciton polaritons in TMD microcavities, thus far, were conventionally explained via two-coupled-oscillator models. This ignores, however, the impact of phonons on the polariton energy structure. Here we establish and quantify the threefold coupling between excitons, cavity photons, and phonons. For this purpose, we employ energy-momentum-resolved photoluminescence and spatially resolved coherent two-dimensional spectroscopy to investigate the spectral properties of a high-quality-factor microcavity with an embedded WSe\(_2\) van-der-Waals heterostructure at room temperature. Our approach reveals a rich multi-branch structure which thus far has not been captured in previous experiments. Simulation of the data reveals hybridized exciton-photon-phonon states, providing new physical insight into the exciton polariton system based on layered TMDs.
Plasmonic nanostructures are considered promising candidates for essential components of integrated quantum technologies because of their ability to efficiently localize broad-band electromagnetic fields on the nanoscale. The resulting local near field can be understood as a spatial superposition of spectrally different plasmon-polariton modes due to the spectrally broad optical excitation, and thus can be described as a classical wave packet. Since plasmon polaritons, in turn, can transmit and receive non-classical light states, the exciting question arises to what extent they have to be described as quantum mechanical wave packets, i.e. as a superposition of different quantum states.
But how to probe, characterize and eventually manipulate the quantum state of such plasmon polaritons? Up to now, probing at room temperatures relied completely on analyzing quantum optical properties of the corresponding in-going and out-going far-field photon modes. However, these methods so far only allow a rather indirect investigation of the plasmon-polariton quantum state by means of transfer into photons. Moreover, these indirect methods lack spatial resolution and therefore do not provide on-site access to the plasmon-polariton quantum state. However, since the spectroscopic method of coherent two-dimensional (2D) nanoscopy offers the capability to follow the plasmon-
polariton quantum state both in Hilbert space and in space and time domain a complete characterization of the plasmon polariton is possible.
In this thesis a versatile coherent 2D nanoscopy setup is presented combining spectral tunability and femtosecond time resolution with spatial resolution on the nanometer scale due to the detection of optically excited nonlinear emitted electrons via photoemission electron microscopy (PEEM). Optical excitation by amplitude- and phase-shaped, systematically-modified and interferometric-stable multipulse sequences is realized, and characterized via Fourier-transform spectral interferometry (FTSI). This linear technique enables efficient data acquisition in parallel to a simultaneously performed experiment. The full electric-field reconstruction of every generated multipulse sequence is used to analyze the effect of non-ideal pulse sequences on the two-dimensional spectral data of population-based multidimensional spectroscopy methods like, e.g., the coherent 2D nanoscopy applied in this thesis. Investigation of the spatially-resolved nonlinear electron emission yield from plasmonic gold nanoresonators by coherent 2D nanoscopy requires a quasi-particle treatment of the addressed plasmon-polariton mode and development of a quantum model to adequately describe the plasmon-assisted multi-quantum electron emission from nanostructures. Good agreement between simulated and experimental data enables to connect certain spectral features to superpositions of non-adjacent plasmon-polariton quantum states, i.e, non-adjacent occupation-number states of the underlying quantized, harmonic oscillator, thus direct probing of the plasmon-polariton quantum wave packet at the location of the nanostructure.
This is a necessary step to locally control and manipulate the plasmon-polariton quantum state and thus of general interest for the realization of nanoscale quantum optical devices.
Covalent peptidomimetic protease inhibitors have gained a lot of attention in drug development in recent years. They are designed to covalently bind the catalytically active amino acids through electrophilic groups called warheads. Covalent inhibition has an advantage in terms of pharmacodynamic properties but can also bear toxicity risks due to non-selective off-target protein binding. Therefore, the right combination of a reactive warhead with a well-suited peptidomimetic sequence is of great importance. Herein, the selectivities of well-known warheads combined with peptidomimetic sequences suited for five different proteases were investigated, highlighting the impact of both structure parts (warhead and peptidomimetic sequence) for affinity and selectivity. Molecular docking gave insights into the predicted binding modes of the inhibitors inside the binding pockets of the different enzymes. Moreover, the warheads were investigated by NMR and LC-MS reactivity assays against serine/threonine and cysteine nucleophile models, as well as by quantum mechanics simulations.
The goal of this thesis was the development and application of higher-order spectroscopic techniques. In contrast to ordinary pump–probe (PP) and two-dimensional (2D) spectroscopy, higher-order coherently detected spectroscopic methods measure a polarization that has an order of nonlinearity higher than three. The key idea of the techniques in this thesis is to isolate the higher-order signals from the lower-order signals either by their excitation frequency or by their excitation intensity dependence. Due to the increased number of interactions in higher-order spectroscopy, highly excited states can be probed. For excitonic systems such as aggregates and polymers, the fifth-order signal allows one to directly measure exciton–exciton annihilation (EEA). In polymers and aggregates, the exciton transport is not connected to a change of the absorption and can therefore not be investigated with conventional third-order techniques. In contrast, EEA can be used as a probe to study exciton diffusion in these isonergetic systems. As a part of this thesis, anisotropy in fifth-order 2D spectroscopy was investigated and was used to study geometric properties in polymers.
In 2D spectroscopy, the multi-quantum signals are separated from each other by their spectral position along the excitation axis. This concept can be extended systematically to higher signals. Another approach to isolate multi-quantum signals in PP spectroscopy utilizes the excitation intensity. The PP signal is measured at specific excitation intensities and linear combinations of these measurements result in different signal contributions. However, these signals do not correspond to clean nonlinear signals because the higher-order signals contaminate the lower-order multi-quantum signals. In this thesis, a correction protocol was derived that uses the isolated multiquantum signals, both from 2D spectroscopy and from PP spectroscopy, to remove the contamination of higher-order signals resulting in clean nonlinear signals. Using the correction on the third-order signal allows one to obtain annihilation-free signals at high excitation intensities, i.e., with high signal-to-noise ratio. Isolation and correction in PP and 2D spectroscopy were directly compared by measuring the clean third-order signals of squaraine oligomers at high excitation intensities. Furthermore, higher-order PP spectroscopy was used to isolate up to the 13th nonlinear order of squaraine polymers.
The demonstrated spectroscopic techniques represent general procedures to isolate clean signals in terms of perturbation theory. The technique of higher-order PP spectroscopy needs only small modifications of ordinary PP setups which opens the field of higher-order spectroscopy to the broad scientific community. The technique to obtain clean nonlinear signals allows one to systematically increase the number of interacting (quasi)particles in a system and to characterize their interaction energies and dynamics.
Fulminic acid, HCNO, was first synthesized in the year 1800 and has since then been used numerous times to develop new chemical theories and concepts. Nowadays, research on HCNO is mainly motivated due to its detection in interstellar space in the year 2009. In this thesis, we investigated the interaction of fulminic acid with VUV- and soft X-ray radiation, i.e., radiation that is also present in the interstellar medium. In our study using VUV radiation, we were able to record the photoelectron spectrum of HCNO with high resolution and we were able to simulate the Renner-Teller distorted ground state of the cation using simulation of wavepacket dynamics. We also elucidated the mechanism of the dissociative photoionisation up to 15.3 eV binding energy. Using soft X-ray radiation enables us to ionise or excite the 1s electrons of HCNO. The created state can decay via an Auger-Meitner process, which produces an Auger electron. We measured the kinetic energy of these auger electron and were able to analyse the observed signals using quantum chemical calculations. We also investigated how the ion fragments after the Auger-Meitner process. We observed a site-selectivity, where the initial ionisation/excitation site influenced the product distribution. We were able to explain this observation with a simple thermodynamic argument. This thesis provides a comprehensive description of the interaction of HCNO with ionising radiation. The obtained data may be valuable for the description of the behaviour of HCNO in interstellar space.
We report the synthesis and spectroscopic analysis of RNA containing the barbituric acid merocyanine rBAM2 as a nucleobase surrogate. Incorporation into RNA strands by solid-phase synthesis leads to fluorescence enhancement compared to the free chromophore. In addition, linear absorption studies show the formation of an excitonically coupled H-type dimer in the hybridized duplex. Ultrafast third- and fifth-order transient absorption spectroscopy of this non-fluorescent dimer suggests immediate (sub-200 fs) exciton transfer and annihilation due to the proximity of the rBAM2 units.
The first is via direct dissociation and the second likely involves a barrier slowing down dissociation.
Chlorine-containing hydrocarbons pose a great risk for the environment and especially for the atmosphere. In this thesis I present the photodissociation dynamics of multiple chlorine-containing molecules. The method of velocity map imaging was utilized for gaining information on the kinetic energy distribution of the fragments generated in the photodissociation reactions.
First, the photodissociation of benzoyl chloride after excitation to the S1, S2 and the S3 state between 279 nm and 237 nm was studied. This stable molecule was an ideal candidate for demonstrating a new ionization scheme for chlorine atoms. It was shown that benzoyl chloride dissociates statistically from the ground state.
Afterwards, the results from experiments on the radicals trichloromethyl and dichlorocarbene are presented in the range of 230 to 250 nm. These radicals remain after the dissociation of carbon tetrachloride and have not been studied in detail because of their instability. Trichlormethyl dissociates via two paths: The loss of a chlorine atom to dichlorocarbene and by decaying to CCl and a chlorine molecule. The dissociation to dichlorocarbene involves a barrier. If the photon exciting the molecule has enough energy to surpass the barrier, which is the case starting at around 235 nm, trichlormethyl dissociates rapidly resulting in an anisotropic VMI. However, if the the excitation energy is lower, the dissociation takes longer than a rotational period and the anisotropy is lost.The path to CCl is a statistical dissociation.
Dichlorocarbene dissociates to CCl and Cl via to separate channels. The first is via direct dissociation and the second likely involves a barrier slowing down dissociation.
This work presents excited state investigations on several systems with respect to experimental
spectroscopic work. The majority of projects covers the temporal evolution of
excitations in thin films of organic semiconductor materials. In the first chapters, thinfilm
and interface systems are build from diindeno[1,2,3-cd:1’,2’,3’-lm]perylene (DIP)
and N,N’-bis-(2-ethylhexyl)-dicyanoperylene-3,4:9,10-bis(dicarboximide) (PDIR-CN2)
layers, in the third chapter bulk systems consist of 4,4’,4”-tris[(3-methylphenyl)phenylamino]
triphenylamine (m-MTDATA), 4,7-diphenyl-1,10-phenanthroline (BPhen) and
tris-(2,4,6-trimethyl-3-(pyridin-3-yl)phenyl)borane (3TPYMB). These were investigated
by aggregate-based calculations. Careful selection of methods and incorporation
of geometrical relaxation and environmental effects allows for a precise energetical assignment
of excitations. The biggest issue was a proper description of charge-transfer
excitations, which was resolved by the application of ionization potential tuning on
aggregates. Subsequent characterization of excitations and their interplay condenses
the picture. Therefore, we could assign important features of the experimental spectroscopic
data and explain differences between systems.
The last chapter in this work covers the analysis of single molecule spectroscopy on
methylbismut. This poses different challenges for computations, such as multi-reference
character of low-lying excitations and an intrinsic need for a relativistic description.
We resolved this by combining complete active space self-consistent field based methods
with scalarrelativistic density-functional theory. Thus we were able to confidently
assign the spectroscopic features and explain underlying processes.
We have investigated the photoionization of ammonia borane (AB) and determined adiabatic ionization energy to be 9.26±0.03 eV for the X\(^{+}\) \(^{2}\)E←X \(^{1}\)A\(_{1}\) transition. Although the threshold photoelectron spectrum appears at first glance to be similar to the one of the isosteric ethane, the electronic situation differs markedly, due to different orbital energies. In addition, an appearance energy AE\(_{0K}\)-(NH\(_{3}\)BH\(_{3}\), NH\(_{3}\)BH\(_{2}\)\(^{+}\))= 10.00±0.03 eV has been determined, corresponding to the loss of a hydrogen atom at the BH\(_{3}\)-site. From the data, a 0 K bond dissociation energy for the B−H bond in the cation of 71.5±3 kJ mol\(^{-1}\) was derived, whereas the one in the neutral compound has been estimated to be 419±10 kJ mol\(^{-1}\).
Disentangling the Formation of PAHs in Extreme Environments by IR/UV Double Resonance Spectroscopy
(2023)
Polycyclic Aromatic Hydrocarbons (PAHs) are considered as key building blocks in the formation of carbonaceous particles such as soot. In our immediate surroundings, they are mainly generated in incomplete combustion processes and are further considered as carriers of the Unidentified Infrared Bands which are detected in a wide variety of astrophysical envelopes in the interstellar medium. Currently, astrochemical as well as combustion related models favour small resonance stabilized radicals (RSR) as major contributors to PAHs in sequential reactions. Therefore, we generated two RSR under well-defined conditions to investigate their contribution to PAH formation in a pyrolysis microreactor. The various reaction products were identified by IR/UV ion dip spectroscopy which combines the mass-selectivity of UV light with the structural sensitivity of IR radiation. Finally, we investigated the intermolecular interactions in azaphenanthrene dimers in combination with high-level theoretical calculations and found a preferential formation of pi-stacked van der Waals cluster in a molecular jet expansion.
The development of ligands capable of effectively stabilizing highly reactive main‐group species has led to the experimental realization of a variety of systems with fascinating properties. In this work, we computationally investigate the electronic, structural, energetic, and bonding features of proximity‐enforced group 13–15 homodimers stabilized by a rigid expanded pincer ligand based on the 1,8‐naphthyridine (napy) core. We show that the redox‐active naphthyridine diimine (NDI) ligand enables a wide variety of structural motifs and element‐element interaction modes, the latter ranging from isolated, element‐centered lone pairs (e.g., E = Si, Ge) to cases where through‐space π bonds (E = Pb), element‐element multiple bonds (E = P, As) and biradical ground states (E = N) are observed. Our results hint at the feasibility of NDI‐E2 species as viable synthetic targets, highlighting the versatility and potential applications of napy‐based ligands in main‐group chemistry.
Isolated 2‐phenylallyl radicals (2‐PA), generated by pyrolysis from a nitrite precursor, have been investigated by IR/UV ion dip spectroscopy using free electron laser radiation. 2‐PA is a resonance‐stabilized radical that is considered to be involved in the formation of polycyclic aromatic hydrocarbons (PAH) in combustion, but also in interstellar space. The radical is identified based on its gas‐phase IR spectrum. Furthermore, a number of bimolecular reaction products are identified, showing that the self‐reaction as well as reactions with unimolecular decomposition products of 2‐PA form several PAH efficiently. Possible mechanisms are discussed and the chemistry of 2‐PA is compared with the one of the related 2‐methylallyl and phenylpropargyl radicals.
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.
Radiationless energy transfer is at the core of diverse phenomena, such as light harvesting in photosynthesis\(^1\), energy-transfer-based microspectroscopies\(^2\), nanoscale quantum entanglement\(^3\) and photonic-mode hybridization\(^4\). Typically, the transfer is efficient only for separations that are much shorter than the diffraction limit. This hampers its application in optical communication and quantum information processing, which require spatially selective addressing. Here, we demonstrate highly efficient radiationless coherent energy transfer over a distance of twice the excitation wavelength by combining localized and delocalized\(^5\) plasmonic modes. Analogous to the Tavis-Cummings model, two whispering-gallery-mode antennas\(^6\) placed in the foci of an elliptical plasmonic cavity\(^7\) fabricated from single-crystal gold plates act as a pair of oscillators coupled to a common cavity mode. Time-resolved two-photon photoemission electron microscopy (TR 2P-PEEM) reveals an ultrafast long-range periodic energy transfer in accordance with the simulations. Our observations open perspectives for the optimization and tailoring of mesoscopic energy transfer and long-range quantum emitter coupling.
We introduce fluorescence-detected pump–probe microscopy by combining a wavelength-tunable ultrafast laser with a confocal scanning fluorescence microscope, enabling access to the femtosecond time scale on the micrometer spatial scale. In addition, we obtain spectral information from Fourier transformation over excitation pulse-pair time delays. We demonstrate this new approach on a model system of a terrylene bisimide (TBI) dye embedded in a PMMA matrix and acquire the linear excitation spectrum as well as time-dependent pump–probe spectra simultaneously. We then push the technique towards single TBI molecules and analyze the statistical distribution of their excitation spectra. Furthermore, we demonstrate the ultrafast transient evolution of several individual molecules, highlighting their different behavior in contrast to the ensemble due to their individual local environment. By correlating the linear and nonlinear spectra, we assess the effect of the molecular environment on the excited-state energy.
This thesis includes measurements that were recorded by cooperation partners. The EPR spec‐ trosa mentioned in section 5.2 were recorded by Michael Auth from the Dyakonov Group (Ex‐ perimental Physics VI, Julius‐Maximilians‐Universität, Würzburg). The TREFISH experiments and transient absorption in section 5.4 spectra were performed by Jašinskas et al. from the V. Gulbi‐ nas group (Center for Physical Sciences and Technology, Vilnius, Lithuania). This dissertation investigated the interactions of semiconducting single‐walled carbon nanotubes (SWNTs) of (6,5) chirality with their environment. Shear‐mixing provided high‐quality SWNT sus‐ pensions, which was complemented by various film preparation techniques. These techniques were in turn used to prepare heterostructures with MoS2 and hBN, which were examined with a newly constructed photoluminescence microscope specifically for this purpose. Finally, the change of spectral properties of SWNTs upon doping was investigated in more detail, as well as the behaviour of charge carriers in the tubes themselves. To optimise the SWNT sample preparation techniques that supplied the other experiments, the sample quality of shear‐mixed preparations was compared with that of sonicated samples. It was found that the quantum efficiency of sheared suspensions exceeds that of sonicated suspensions as soon as the sonication time exceeds 30 min. The higher PLQY is due to the lower defect concentration in shear‐mixed samples. Via transient absorption, a mean lifetime of 17.3 ps and a mean distance between defects of 192.1 nm could be determined. Furthermore, it was found that the increased efficiency of horn sonication is probably not only due to higher shear forces acting on the SWNT bundles but also that the shortening of PFO‐BPy strands plays a significant role. Sonication of very long polymer strands significantly increased their effectiveness in shear mixing. While previous approaches could only achieve very low concentrations of SWNTs in suspensions, pre‐sonicated polymer yielded results which were comparable with much shorter PFO‐BPy batches. Reference experiments also showed that different aggregation processes are relevant during production and further processing. Initial reprocessing of carbon nanotube raw material requires 7 h sonication time and over 24 h shear mixing before no increase in carbon nano concentration is detectable. However, only a few minutes of sonication or shear mixing are required when reprocessing the residue produced during the separation of the slurry. This discrepancy indicates that different aggregates are present, with markedly different aggregation properties. To study low‐dimensional heterostructures, a PL microscope was set up with the ability to ob‐ serve single SWNTs as well as monolayers of other low‐dimensional systems. Furthermore, sam‐ ples were prepared which bring single SWNTs into contact with 2D materials such as h‐BN andMoS2 layers and the changes in the photoluminescence spectrum were documented. For h‐BN, it was observed whether previous methods for depositing SWNTs could be transferred for photo‐ luminescence spectroscopy. SWNTs were successfully deposited on monolayers via a modified drip coating, with the limitation that SWNTs aggregate more at the edges of the monolayers. Upon contact of SWNTs with MoS2, significant changes in the emission properties of the mono‐ layers were observed. The fluorescence, which was mainly dominated by excitons, was shifted towards trion emission. Reference experiments excluded PFO‐BPy and toluene as potential causes. Based on the change in the emission behaviour of MoS2, the most plausible explanation is a photoinduced charge transfer leading to delocalised charge carriers on MoS2. In contrast, on SWNTs, the introduction of additional charges would constitute a quenching centre, which would quench their PL emission, making them undetectable in the PL image. In the last chapter, the electronic properties of doped SWNTs and the behaviour of charge carri‐ ers inside the tubes should be investigated. First, the change in the conductivity of SWNT films with increasing doping levels was docu‐ mented. The resistance of the films drops drastically at minimum doping. After the initial in‐ troduction of charges, the resistance drops with increasing dopant concentration according to a double logarithmic curve. The initial drop could be due to a reduction of contact resistances within the SWNT network film, but this could not be further investigated within the scope of this PhD thesis. In cooperation with Andreas Sperlich and Michael Auth, the spin concentration of SWNTs at different doping levels was determined. The obtained concentrations were compared with the carrier concentrations determined from PL and absorption spectra. At low spin densities, good agreement with previous models was found. Furthermore, the presence of isolated spins strongly suggests a localised charge carrier distribution at temperatures around 10 K. When the charge density is increased, the spin density deviates significantly from the charge carrier con‐ centration. This discrepancy is attributed to the increasing delocalisation of charge carriers at high charge densities and the interactions of neighbouring spins. These results strongly indicate the existence of localised charge carriers in SWNTs at low temperatures. Next, the effect of doping on the Raman spectra of SWNT suspensions was investigated. In gen‐ eral, doping is expected to reduce the intensity of the Raman bands, i.e. a consequence of the reduced resonance gain due to bleaching of the S2 transition. However, similar to the resistivity measurements, the oscillator strength of the G+ band drops sharply in the first doping steps. It was also found that the G+ band decreases more than would be expected due to loss of reso‐ nance condition. Furthermore, the G‐ is bleached faster than the G+ band. All these anomalies suggest that resonance enhancement is not the only relevant effect. Another much faster deac‐ tivation path for the excitons may be introduced by doping. This would leave less time for the scattering process to occur and reduce the oscillator strength of the Raman bands. In cooperation with Vidmantas et al., the photoinduced charge carrier behaviour of SWNT/PCBM films was investigated. The required films were prepared by drop coating. The SWNT suspen‐ sions required for this were obtained from sheared SWNT preparations. Using transient absorp‐ tion and TREFISH, a number of charge transfer effects were identified and their dynamics in‐ vestigated: the recombination of neutral excitons (< 50 ps), the electron transfer from carbon nanotubes to PCBM molecules (< 1 ps), the decay of charge‐transfer excitons (∼200 ps), the recombination of charge carriers between charge‐transfer excitons (1 ns to 4 ns) and finally the propagation through the SWNT network (∼20 ns)
This thesis describes novel concepts for the measurement of the static and dynamic properties of the electronic structure of molecules and nanocrystals in the liquid phase by means of coherent fluorescence-detected spectroscopy in two and three frequency dimensions. These concepts are based on the systematic variation ("phase cycling") of a sequence of multiple time-delayed femtosecond excitation pulses in order to decode a multitude of novel nonlinear signals from the resulting phase-dependent fluorescence signal. These signals represent any permutation of correlations between zero-, one-, two-, and three-quantum coherences. To this end, two new phase-cycling schemes have been developed which can simultaneously resolve and discriminate several nonlinear signals of sixth order, including those of the fourth order of nonlinearity.
By means of the sixth-order signals recorded in this work, static properties of highly excited electronic states in molecules such as their energies, transition dipole moments, and relative displacement of electronic potential surfaces, as well as dynamic properties in terms of their relaxation kinetics, can be ascertained. Furthermore, it was shown that these signals are suitable for the characterization of exciton-exciton correlations in colloidal quantum dots and for the measurement of ultrafast exciton-exciton annihilation in molecular aggregates.
The experiments performed in this thesis mark an important step towards the complete characterization of the nonlinear response of quantum systems. In view of this, the concept of fluorescence-detected multiple-quantum coherence multidimensional spectroscopy introduced here offers a unified, systematic approach.
In virtue of the technical advantages such as the use of a single excitation beam and the absence of nonresonant contributions, the measurement protocols developed here can be directly transferred to other incoherent observables and to sample systems in other states of matter. Furthermore, the approaches presented here can be systematically extended to higher frequency dimensions and higher orders of nonlinearity.
In this thesis, several contributions to the understanding and modeling of chemical phenomena using computational approaches are presented. These investigations are characterized by the usage of non-standard computational modeling techniques, which is necessitated by the complex nature of the electronic structure or atomic fluctuations of the target molecules.
Multiple biradical-type molecules and their spectroscopic properties were modeled. In the course of the investigation, it is found that especially the impact of correct molecular geometries on the computationally predicted absorption properties may be critical. In order to find the correct minimum geometries, Multi-Reference methods may have to be invoked.
The impact of geometry relaxation on the excitonic properties of Perylene Bisimide dimers were investigated. Oftentimes, these geometry factors are neglected in Organic Semiconductor modeling as an approximation. This present investigation suggests that this approximation is not always valid, as certain regimes are identified where geometrical parameters have critical impact on the localization and energetic properties of excitons.
The mechanism of the Triazolinedione (TAD) tyrosine bioconjugation reaction is investigated using quantum-chemical methods. By comparison of different conceivable mechanisms and their energetic ordering, the TAD tyrosine bioconjugation is found to proceed by means of a base-mediated electrophilic aromatic substitution reaction.
The kth nearest neighbor entropy estimation protocol is investigated. This estimator promises accurate entropy estimates even for flexible molecules with multiple structural minima. Our granular investigation of formal and practical properties of the estimator suggests that the uneven variance of a molecule’s vibrational modes is the cause of the observed slow convergence of the estimator. A rescaling procedure to reestablish fast convergence is suggested and benchmarks are performed.
The facile synthesis and detailed investigation of a class of highly potent protease inhibitors based on 1,4-naphthoquinones with a dipeptidic recognition motif (HN-l-Phe-l-Leu-OR) in the 2-position and an electron-withdrawing group (EWG) in the 3-position is presented. One of the compound representatives, namely the acid with EWG = CN and with R = H proved to be a highly potent rhodesain inhibitor with nanomolar affinity. The respective benzyl ester (R = Bn) was found to be hydrolyzed by the target enzyme itself yielding the free acid. Detailed kinetic and mass spectrometry studies revealed a reversible covalent binding mode. Theoretical calculations with different density functionals (DFT) as well as wavefunction-based approaches were performed to elucidate the mode of action.
Electrophilic (het)arenes can undergo reactions with nucleophiles yielding π- or Meisenheimer (σ-) complexes or the products of the S\(_N\)Ar addition/elimination reactions. Such building blocks have only rarely been employed for the design of enzyme inhibitors. Herein, we demonstrate the combination of a peptidic recognition sequence with such electrophilic (het)arenes to generate highly active inhibitors of disease-relevant proteases. We further elucidate an unexpected mode of action for the trypanosomal protease rhodesain using NMR spectroscopy and mass spectrometry, enzyme kinetics and various types of simulations. After hydrolysis of an ester function in the recognition sequence of a weakly active prodrug inhibitor, the liberated carboxylic acid represents a highly potent inhibitor of rhodesain (K\(_i\) = 4.0 nM). The simulations indicate that, after the cleavage of the ester, the carboxylic acid leaves the active site and re-binds to the enzyme in an orientation that allows the formation of a very stable π-complex between the catalytic dyad (Cys-25/His-162) of rhodesain and the electrophilic aromatic moiety. The reversible inhibition mode results because the S\(_N\)Ar reaction, which is found in an alkaline solvent containing a low molecular weight thiol, is hindered within the enzyme due to the presence of the positively charged imidazolium ring of His-162. Comparisons between measured and calculated NMR shifts support this interpretation
We investigate NCl\(_{3}\) and the NCl\(_{2}\) radical by photoelectron-photoion coincidence spectroscopy using synchrotron radiation. The mass selected threshold photoelectron spectrum (ms-TPES) of NCl\(_{3}\) is broad and unstructured due to the large geometry change. An ionization energy of 9.7±0.1 eV is estimated from the spectrum and supported by computations. NCl2 is generated by photolysis at 213 nm from NCl\(_{3}\) and its ms-TPES shows an extended vibrational progression with a 90 meV spacing that is assigned to the symmetric N−Cl stretching mode in the cation. An adiabatic ionization energy of 9.94 ± 0.02 eV is determined.
A 1,8-naphthyridine diphosphine (NDP) reacts with boron-containing Lewis acids to generate complexes featuring a number of different naphthyridine bonding modes. When exposed to diborane B\(_{2}\)Br\(_{4}\), NDP underwent self-deprotonation to afford [NDP-B\(_{2}\)Br\(_{3}\)]Br, an unsymmetrical diborane comprised of four fused rings. The reaction of two equivalents of monoborane BBr\(_{3}\) and NDP in a non-polar solvent provided the simple phosphine-borane adduct [NDP(BBr\(_{3}\))\(_{2}\)], which then underwent intramolecular halide abstraction to furnish the salt [NDP-BBr\(_{2}\)][BBr\(_{4}\)], featuring a different coordination mode from that of [NDP-B\(_{2}\)Br\(_{3}\)]Br. Direct deprotonation of NDP by KHMDS or PhCH2K generates mono- and dipotassium reagents, respectively. The monopotassium reagent reacts with one or half an equivalent of B\(_{2}\)(NMe\(_{2}\))\(_{2}\)Cl\(_{2}\) to afford NDP-based diboranes with three or four amino substituents.
The development of complexes featuring low-valent, multiply bonded metal centers is an exciting field with several potential applications. In this work, we describe the design principles and extensive computational investigation of new organometallic platforms featuring the elusive manganese-manganese bond stabilized by experimentally realized N-heterocyclic carbenes (NHCs). By using DFT computations benchmarked against multireference calculations, as well as MO- and VB-based bonding analyses, we could disentangle the various electronic and structural effects contributing to the thermodynamic and kinetic stability, as well as the experimental feasibility, of the systems. In particular, we explored the nature of the metal-carbene interaction and the role of the ancillary η\(^{6}\) coordination to the generation of Mn\(_{2}\) systems featuring ultrashort metal-metal bonds, closed-shell singlet multiplicities, and positive adiabatic singlet-triplet gaps. Our analysis identifies two distinct classes of viable synthetic targets, whose electrostructural properties are thoroughly investigated.
A protecting group strategy was employed to synthesise a series of indolenine squaraine dye oligomers up to the nonamer. The longer oligomers show a distinct solvent dependence of the absorption spectra, that is, either a strong blue shift or a strong red shift of the lowest energy bands in the near infrared spectral region. This behaviour is explained by exciton coupling theory as being due to H- or J-type coupling of transition moments. The H-type coupling is a consequence of a helix folding in solvents with a small Hansen dispersity index. DOSY NMR, small angle neutron scattering (SANS), quantum chemical and force field calculations agree upon a helix structure with an unusually large pitch and open voids that are filled with solvent molecules, thereby forming a kind of clathrate. The thermodynamic parameters of the folding process were determined by temperature dependent optical absorption spectra.
Twisted boron-based biradicals featuring unsaturated C\(_2\)R\(_2\) (R=Et, Me) bridges and stabilization by cyclic (alkyl)(amino)carbenes (CAACs) were recently prepared. These species show remarkable geometrical and electronic differences with respect to their unbridged counterparts. Herein, a thorough computational investigation on the origin of their distinct electrostructural properties is performed. It is shown that steric effects are mostly responsible for the preference for twisted over planar structures. The ground-state multiplicity of the twisted structure is modulated by the σ framework of the bridge, and different R groups lead to distinct multiplicities. In line with the experimental data, a planar structure driven by delocalization effects is observed as global minimum for R=H. The synthetic elusiveness of C\(_2\)R\(_2\)-bridged systems featuring N-heterocyclic carbenes (NHCs) was also investigated. These results could contribute to the engineering of novel main group biradicals.
The NHC-stabilised diboryne (B\(_2\)(SIDep)\(_2\); SIDep=1,3-bis(2,6-diethylphenyl)imidazolin-2-ylidene) undergoes a high-yielding P−P bond activation with tetraethyldiphosphine at room temperature to form a B\(_2\)P\(_2\) heterocycle via a diphosphoryldiborene by 1,2-diphosphination. The heterocycle can be oxidised to a radical cation and a dication, respectively, depending on the oxidant used and its counterion. Starting from the planar, neutral 1,3-bis(alkylidene)-1,3-diborata-2,4-diphosphoniocyclobutane, each oxidation step leads to decreased B−B distances and loss of planarity by cationisation. X-ray analyses in conjunction with DFT and CASSCF/NEVPT2 calculations reveal closed-shell singlet, butterfly-shaped structures for the NHC-stabilised dicationic B\(_2\)P\(_2\) rings, with their diradicaloid, planar-ring isomers lying close in energy.
The dimethylbismuth cation: entry into dative Bi-Bi bonding and unconventional methyl exchange
(2021)
The dimethyl bismuth cation, [BiMe\(_2\)(SbF\(_6\))], has been isolated and characterized. Reaction with BiMe\(_3\) allows access to the first compound featuring Bi→Bi donor–acceptor bonding. In solution, dynamic behavior with methyl exchange via an unusual S\(_E\)2 mechanism is observed, underlining the unique properties of bismuth species as soft Lewis acids with the ability to undergo reversible Bi−C bond cleavage.
We introduce a new approach to transient spectroscopy, fluorescence‐detected pump–probe (F‐PP) spectroscopy, that overcomes several limitations of traditional PP. F‐PP suppresses excited‐state absorption, provides background‐free detection, removes artifacts resulting from pump–pulse scattering, from non‐resonant solvent response, or from coherent pulse overlap, and allows unique extraction of excited‐state dynamics under certain conditions. Despite incoherent detection, time resolution of F‐PP is given by the duration of the laser pulses, independent of the fluorescence lifetime. We describe the working principle of F‐PP and provide its theoretical description. Then we illustrate specific features of F‐PP by direct comparison with PP, theoretically and experimentally. For this purpose, we investigate, with both techniques, a molecular squaraine heterodimer, core–shell CdSe/ZnS quantum dots, and fluorescent protein mCherry. F‐PP is broadly applicable to chemical systems in various environments and in different spectral regimes.
Reactive hydrocarbon species are important in a multitude of different scientific areas. In this thesis, the vibrational spectra of hydrocarbon radicals, biradicals and their reaction product have been studied in a gas-phase environment. The specific molecules investigated here, are of particular importance in the field of combustion and astrochemistry. They were produced from suitable precursors in a pyrolytically heated micro-reactor and subsequently seeded in an appropriate carrier gas. As methodology, IR/UV ion dip spectroscopy has been utilized, which delivers massselected gas-phase IR spectra of all ionizable species detectable in the molecular beam. These, with the help of DFT calculations, allow for determination of the fingerprint IR spectra, identification of mass carriers and formulation of potential reaction mechanisms. All studies have been conducted in collaboration with the group of Prof. Dr. Anouk M. Rjis and the necessary potent IR radiation has been provided by the free-electron laser FELIX. Thus, the IR/UV measurements have been executed at the FELIX Laboratory of the Radboud University in Nijmegen. The first study presented in this thesis is the investigation of ortho-benzyne in Chapter 3.1. This molecule is of particular interest due to its uncommon electronic structure and its role in high-temperature reactions. Although, the infrared spectrum of o-C6H4 was not accessible, a number of reaction products were identified via their fingerprint spectra. Masses in the range from 78 - 228 were assigned to their respective carrier. The identified species include typical PAHs like naphthalene, phenanthrene, up to triphenylene. The identified masses further suggest a PAH growth heavily influenced by diradical 1,4-cycloaddition followed by fragmentation, as well as by classical HACA- and PAC-like mechanisms. These results were augmented by threshold photoionization measurements from Engelbert Reusch, who identified lighter reaction products, which have insufficient IR absorption or unsuitable ionization characteristics to be identified in the IR/UV experiment. An interesting observation is the identification of m/z = 152. This carrier has been assigned differently by the IR and TPES experiments. Whereas the IR spectrum clearly identifies the species as 2-ethynylnaphthalene, the TPES evidently is in great agreement with biphenylene. This is a good example how different experimental methodologies can benefit from each other to gain a deeper insight into the actual science of a particular system. Probably, the prime example for an aromatically resonance stabilized radical is benzyl. This radical is of high importance for many combustion studies, as it represents the primary high-temperature decomposition product of toluene. The goal of the study was the identification of the benzyl self reaction products and the results are discussed in Section 3.2. The radical was pyrolytically produced by its respective nitrite precursor. The mass spectrum showed that the benzyl self reaction formed two products with C11 and three with C14 constitution. All mass peaks were evenly spaced by two mass units, respectively, which suggests a close relation in formation. Indeed, the C11 products were identified as diphenylmethane and fluorene, which are simply connected via cyclization. The heaviest product was identified as phenanthrene, which is formed via the cyclization of bibenzyl to 9,10-dihydrophenanthrene and subsequent elimination of hydrogen. This result was quiet interesting as the intermediate of this reaction was often assumed to be stilbene, which was not observed in the study. Hence, the reaction seems to undergo cyclization first before phenanthrene is finally formed via hydrogen elimination. Expanding the molecular frame of benzyl by an additional methyl group leads to the xylyl radicals and its decomposition product the xylylenes. Also important in combustion research, xylyl radicals represent the preferred decomposition products of xylene, a frequently used anti-knock agent in modern gasoline blends. After further hydrogen elimination the xylyl radicals can then form their respective xylylenes. The results of the xylyl experiments are discussed in Section 3.3. Here the gas-phase vibrational spectrum in the fingerprint region for all three isomers has been recorded for the first time in isolation. Although, all isomers have a very similar structure and symmetry, and consequently similar vibrational bands, the resolution of the experimental data was exceedingly sufficient for a clear assignment. Additionally, the dimerization products of meta- and para-xylyl could also be identified. A similar approach was taken to determine the fingerprint spectra for the xylylenes. Here, only para-xylylene could be unambiguously identified as the carrier of mass 104. For both ortho- and meta-xylylene precursors, only isomerization products were observed as the carriers of mass 104; benzocyclobutene and styrene, respectively. A possible explanation is elaborated upon in the troubleshooting Sec- tion 3.4.3.5. In the final experimental section a study on the decomposition of phthalide is presented. The objective of this experiment was mainly focused around the formation of C7 species, particularly the fulvenallenyl radical C7H5. In fact, the first experimental fingerprint spectrum of isolated C7H5 in the gas-phase was measured and is displayed in Fig. 3.45. Furthermore, the experiment demonstrates that the pyrolysis products of phthalide are excellent soot precursors, as many heavier reaction products have been identified. These include typical PAH species like naphthalene and phenanthrene as well as their methylated isomers. A large number of molecules with terminal ethynyl moieties indicate a strong influence of HACA growth in the experimental environment. However, many formation pathways of products have been discussed, which are formed involving experiment specific species, like C5H5 and C7H5, and often include expansion steps from 5- to 6-membered rings.
We report the generation, spectroscopic characterization, and computational analysis of the first free (non-stabilized) organometallic bismuthinidene, BiMe. The title compound was generated in situ from BiMe\(_3\) by controlled homolytic Bi–C bond cleavage in the gas phase. Its electronic structure was characterized by a combination of photoion mass-selected threshold photoelectron spectroscopy and DFT as well as multi-reference computations. A triplet ground state was identified and an ionization energy (IE) of 7.88 eV was experimentally determined. Methyl abstraction from BiMe\(_3\) to give [BiMe(_2\)]• is a key step in the generation of BiMe. We reaveal a bond dissociation energy of 210 ± 7 kJ mol\(^{−1}\), which is substantially higher than the previously accepted value. Nevertheless, the homolytic cleavage of Me–BiMe\(_2\) bonds could be achieved at moderate temperatures (60–120 °C) in the condensed phase, suggesting that [BiMe\(_2\)]• and BiMe are accessible as reactive intermediates under these conditions.
The understanding of excimer formation and its interplay with the singlet-correlated triplet pair state \(^{1}\)(TT) is of high significance for the development of efficient organic electronics. Here, we study the photoinduced dynamics of the tetracene dimer in the gas phase by time-resolved photoionisation and photoion imaging experiments as well as nonadiabatic dynamics simulations in order to obtain mechanistic insight into the excimer formation dynamics. The experiments are performed using a picosecond laser system for excitation into the S\(_{2}\) state and reveal a biexponential time dependence. The time constants, obtained as a function of excess energy, lie in the range between ≈10 ps and 100 ps and are assigned to the relaxation of the excimer on the S\(_{1}\) surface and to its deactivation to the ground state. Simulations of the quantum-classical photodynamics are carried out in the frame of the semi-empirical CISD and TD-lc-DFTB methods. Both theoretical approaches reveal a dominating relaxation pathway that is characterised by the formation of a perfectly stacked excimer. TD-lc-DFTB simulations have also uncovered a second relaxation channel into a less stable dimer conformation in the S\(_{1}\) state. Both methods have consistently shown that the electronic and geometric relaxation to the excimer state is completed in less than 10 ps. The inclusion of doubly excited states in the CISD dynamics and their diabatisation further allowed to observe a transient population of the \(^{1}\)(TT) state, which, however, gets depopulated on a timescale of 8 ps, leading finally to the trapping in the excimer minimum.
The concepts of aromaticity and antiaromaticity have a long history, and countless demonstrations of these phenomena have been made with molecules based on elements from the p, d, and f blocks of the periodic table. In contrast, the limited oxidation‐state flexibility of the s‐block metals has long stood in the way of their participation in sophisticated π‐bonding arrangements, and truly antiaromatic systems containing s‐block metals are altogether absent or remain poorly defined. Using spectroscopic, structural, and computational techniques, we present herein the synthesis and authentication of a heterocyclic compound containing the alkaline earth metal beryllium that exhibits significant antiaromaticity, and detail its chemical reduction and Lewis‐base‐coordination chemistry.
Coherent two-dimensional (2D) optical spectroscopy has revolutionized our ability to probe many types of couplings and ultrafast dynamics in complex quantum systems. The dynamics and function of any quantum system strongly depend on couplings to the environment. Thus, studying coherent interactions for different environments remains a topic of tremendous interest. Here we introduce coherent 2D electronic mass spectrometry that allows 2D measurements on effusive molecular beams and thus on quantum systems with minimum system-bath interaction and employ this to identify the major ionization pathway of 3d Rydberg states in NO2. Furthermore, we present 2D spectra of multiphoton ionization, disclosing distinct differences in the nonlinear response functions leading to the ionization products. We also realize the equivalent of spectrally resolved transient-absorption measurements without the necessity for acquiring weak absorption changes. Using time-of-flight detection introduces cations as an observable, enabling the 2D spectroscopic study on isolated systems of photophysical and photochemical reactions.
We report infrared spectra of xylylene isomers in the gas phase, using free electron laser (FEL) radiation. All xylylenes were generated by flash pyrolysis. The IR spectra were obtained by monitoring the ion dip signal, using a IR/UV double resonance scheme. A gas phase IR spectrum of para‐xylylene was recorded, whereas ortho‐ and meta‐xylylene were found to partially rearrange to benzocyclobutene and styrene. Computations of the UV oscillator strength for all molecules were carried out and provde an explanation for the observation of the isomerization products.
Within this work, an additive and a subtractive QM/MM interface were implemented into CAST. The interactions between QM and MM system are described via electrostatic embedding. Link atoms are used to saturate dangling bonds originating from the separation of QM and MM system. Available energy evaluation methods to be combined include force fields (OPLSAA and AMBER), semi-empirical programs (Mopac and DFTB+), and quantum-chemical methods (from Gaussian, Orca, and Psi4). Both the additive and the subtractive interface can deal with periodic boundary conditions. The subtractive scheme was extended to enable QM/QM, three-layer, and multi-center calculations. Another feature only available within the subtractive interface is the microiteration procedure for local optimizations.
The novel QM/MM methods were applied to the investigation of the reaction path for the complex formation between rhodesain and K11777. Benchmark calculations show a very good agreement with results from Gaussian-ONIOM. When comparing the relative energies obtained with different options to a computation where the whole system was treated with the “QM method” DFTB3, the electrostatic embedding scheme with option “delM3” gives the best results. “delM3” means that atoms with up to three bonds distance to the QM region are ignored when creating the external charges. This is done in order to avoid a double counting of Coulomb interactions between QM and MM system. The embedding scheme for the inner system in a three-layer calculation, however, does not have a significant influence on the energies. The same is true for the choice of the coupling scheme: Whether the additive or the subtractive QM/MM interface is applied does not alter the results significantly. The choice of the QM region, though, proved to be an important factor. As can be seen from the comparison of two QM systems of different size, bigger is not always better here. Instead, one has to make sure not to separate important (polar) interactions by the QM/MM border.
After this benchmark study with singlepoint calculations, the various possibilities of CAST were used to approximate the solution of a remaining problem: The predicted reaction energy for the formation of the rhodesain-K11777 complex differs significantly depending on the starting point of the reaction path.
The reason for this is assumed to be an inadequate adjustment of the environment during the scans, which leads to a better stabilization of the starting structure in comparison to the final structure. The first approach to improve this adjustment was performing the relaxed scan with a bigger QM region instead of the minimal QM system used before. While the paths starting from the covalent complex do not change significantly, those starting from the non-covalent complex become more exothermic, leading to a higher similarity of the two paths. Nevertheless, the difference of the reaction energy is still around 15 kcal/mol, which is far from a perfect agreement. For this reason, Umbrella Samplings were run. Here, the adjustment of the environment is not done by local optimizations like in the scans, but by MD simulations. This has the advantage that the system can cross barriers and reach different local minima. The relative free energies obtained by Umbrella Samplings with suitable QM regions are nearly identical, independently of the starting point of the calculation. Thus, \(\Delta A\) evaluated by these computations can be assumed to reproduce the real energy change best. An MD simulation that was started from the transition state in order to mimic a “real-time” reaction indicates a very fast adjustment of the environment during the formation of the complex. This confirms that Umbrella Sampling is probably better suitable to describe the reaction path than a scan, where the environment can never move strong enough to leave the current local minimum.
Besides their widespread use in coordination chemistry, 2,2’‐bipyridines are known for their ability to undergo cis–trans conformational changes in response to metal ions and acids, which has been primarily investigated at the molecular level. However, the exploitation of such conformational switching in self‐assembly has remained unexplored. In this work, the use of 2,2’‐bipyridines as acid‐responsive conformational switches to tune supramolecular polymerization processes has been demonstrated. To achieve this goal, we have designed a bipyridine‐based linear bolaamphiphile, 1, that forms ordered supramolecular polymers in aqueous media through cooperative aromatic and hydrophobic interactions. Interestingly, addition of acid (TFA) induces the monoprotonation of the 2,2’‐bipyridine moiety, leading to a switch in the molecular conformation from a linear (trans) to a V‐shaped (cis) state. This increase in molecular distortion along with electrostatic repulsions of the positively charged bipyridine‐H\(^{+}\) units attenuate the aggregation tendency and induce a transformation from long fibers to shorter thinner fibers. Our findings may contribute to opening up new directions in molecular switches and stimuli‐responsive supramolecular materials.
Using Photoionization to Investigate Reactive Boron Species and the Kinetics of Hydrocarbon Radicals
(2021)
This thesis highlights the importance of isomer-selective approaches for the complete analysis of chemical processes. The method of choice is photoelectron/photoion coincidence spectroscopy, which allows simultaneous detection of electrons and ions coming from a single ionization event. Ionization techniques are sensitive and can record multiple species simultaneously, rendering them ideal tools to probe molecular transformations. Coupling these setups to synchrotron radiation allows one to analyze complex mixtures with isomer selectivity, based on ionization energies and vibrational structure in the cation, without any prior separation steps. Only few setups exist that can be used to gather these data, although their impact and applicability is growing steadily in various fields. For closed-shell species an easier and more widely used method is gas-chromatography, but most open shell species would not survive the separation process. Due to the reactivity of radicals they have to be created by selectively converting stable precursor molecules. Depending on the radical generation method different properties can be investigated ranging from thermodynamic data, over concentrations in high temperature environments, to chemical kinetics.
The first part of this thesis deals with the determination of bimolecular rate constants. Isomeric hydrocarbon radicals were generated by a high intense UV light pulses and their kinetics with oxygen was measured. The pressure dependence of different isomers in the falloff region was compared to theoretical models, and their reactivity could be explained.
The second part deals with boron containing compounds in various electronic situations. The corresponding precursors were successfully synthesized or could be bought. They were subjected to fluorine atoms in chemical reactors or destroyed pyrolytically at high temperatures. Most investigated species exhibited vibronic effects that could be elucidated using high level computations.
cAAC‐Stabilized 9,10‐diboraanthracenes—Acenes with Open‐Shell Singlet Biradical Ground States
(2020)
Narrow HOMO–LUMO gaps and high charge‐carrier mobilities make larger acenes potentially high‐efficient materials for organic electronic applications. The performance of such molecules was shown to significantly increase with increasing number of fused benzene rings. Bulk quantities, however, can only be obtained reliably for acenes up to heptacene. Theoretically, (oligo)acenes and (poly)acenes are predicted to have open‐shell singlet biradical and polyradical ground states, respectively, for which experimental evidence is still scarce. We have now been able to dramatically lower the HOMO–LUMO gap of acenes without the necessity of unfavorable elongation of their conjugated π system, by incorporating two boron atoms into the anthracene skeleton. Stabilizing the boron centers with cyclic (alkyl)(amino)carbenes gives neutral 9,10‐diboraanthracenes, which are shown to feature disjointed, open‐shell singlet biradical ground states.
Photochemical reactions in solution often proceed via competing reaction pathways
comprising intermediates that capture a solvent molecule. A disclosure of the underlying
reaction mechanisms is challenging due to the rapid nature of these processes and the
intricate identification of how many solvent molecules are involved. Here combining
broadband femtosecond transient absorption and quantum mechanics/molecular mechanics
simulations, we show for one of the most reactive species, diphenylcarbene, that the
decision-maker is not the nearest solvent molecule but its neighbour. The hydrogen bonding
dynamics determine which reaction channels are accessible in binary solvent mixtures at
room temperature. In-depth analysis of the amount of nascent intermediates corroborates
the importance of a hydrogen-bonded complex with a protic solvent molecule, in striking
analogy to complexes found at cryogenic temperatures. Our results show that adjacent
solvent molecules take the role of key abettors rather than bystanders for the fate of the
reactive intermediate.
Diplatinum A‐frame complexes with a bridging (di)boron unit in the apex position were synthesized in a single step by the double oxidative addition of dihalo(di)borane precursors at a bis(diphosphine)‐bridged Pt\(^{0}\)\(_{2}\) complex. While structurally analogous to well‐known μ‐borylene complexes, in which delocalized dative three‐center‐two‐electron M‐B‐M bonding prevails, theoretical investigations into the nature of Pt−B bonding in these A‐frame complexes show them to be rare dimetalla(di)boranes displaying two electron‐sharing Pt−B σ‐bonds. This is experimentally reflected in the low kinetic stability of these compounds, which are prone to loss of the (di)boron bridgehead unit.
The absence of fluorine from most biomolecules renders it an excellent probe for NMR spectroscopy to monitor inhibitor–protein interactions. However, predicting the binding mode of a fluorinated ligand from a chemical shift (or vice versa) has been challenging due to the high electron density of the fluorine atom. Nonetheless, reliable \(^{19}\)F chemical‐shift predictions to deduce ligand‐binding modes hold great potential for in silico drug design. Herein, we present a systematic QM/MM study to predict the \(^{19}\)F NMR chemical shifts of a covalently bound fluorinated inhibitor to the essential oxidoreductase tryparedoxin (Tpx) from African trypanosomes, the causative agent of African sleeping sickness. We include many protein–inhibitor conformations as well as monomeric and dimeric inhibitor–protein complexes, thus rendering it the largest computational study on chemical shifts of \(^{19}\)F nuclei in a biological context to date. Our predicted shifts agree well with those obtained experimentally and pave the way for future work in this area.
We employ transient absorption from the deep-UV to the visible region and fluorescence upconversion to investigate the photoinduced excited-state intramolecular proton-transfer dynamics in a biologically relevant drug molecule, 2-acetylindan-1,3-dione. The molecule is a ß-diketone which in the electronic ground state exists as exocyclic enol with an intramolecular H-bond. Upon electronic excitation at 300 nm, the first excited state of the exocyclic enol is initially populated, followed by ultrafast proton transfer (≈160 fs) to form the vibrationally hot endocyclic enol. Subsequently, solvent-induced vibrational relaxation takes place (≈10 ps) followed by decay (≈390 ps) to the corresponding ground state.
Nanoelectronics is an essential technology for down-scaling beyond the limit of silicon-based electronics. Single-Wall Carbon Nanotubes (SWNT) are semiconducting components that exhibit a large variety of properties that make them usable for sensing, telecommunication, or computational tasks. Due to their high surface to volume ratio, carbon nanotubes are strongly affected by molecular adsorptions, and almost all properties depend on surface adsorption. SWNT with smaller diameters (0.7-0.9nm) show a stronger sensitivity to surface effects. An optimized synthesis route was developed to produce these nanotubes directly. They were produced with a clean surface, high quality, and large lengths of 2 μ m. The results complement previous studies on larger diameters (0.9-1.4nm). They allow performing statistically significant assumptions for a perfect nanotube, which is selected from a subset of nanotubes with good emission intensity, and high mechanical durability. The adsorption of molecules on the surface of carbon nanotubes influences the motion and binding strength of chargeseparated states in this system. To gain insight into the adsorption processes on the surface with a minimum of concurrent overlapping effects, a microscopic setup, and a measurement technique were developed. The system was estimated to exhibit excellent properties like long exciton diffusion lengths (>350nm), and big exciton sizes (8.5(5)nm), which was substantiated by a simulation. We studied the adsorption processes at the surface of Single-Wall Carbon Nanotubes for molecules in the gas phase, solvent molecules, and surfactant molecules. The experiments were all carried out on suspended individualized carbon nanotubes on a silicon wafer substrate. The experiments in the gas-phase showed that the excitonic emission energy and intensity experiences a rapid blue shift during observation. This shift was associated with the spontaneous desorption of large clusters of gaseous molecules caused by laser heat up. The measurement of this desorption was essential for creating a reference to an initially clean surface and allows us to perform a comparison with previous measurements on this topic. Furthermore, the adsorption of hydrogen on the nanotube surface at high temperatures was investigated. It was found that a new emission mode arises slightly red-shifted to the excitonic emission in these systems. The new signal is almost equally strong as the main excitonic peak and was associated with the brightening of dark excitons at sp3-defects through a K-phonon assisted pathway. The finding is useful for the direct synthesis of spintronic devices as these systems are known to act as single-photon emitters. The suspended nanotubes were further studied to estimate the effect of solvent adsorption on the excitonic states during nanotube dispersion for each nanotube individually. A significant quantum yield loss is observable for hexane and acetonitrile, while the emission intensity was found to be the strongest in toluene. The reference to a clean surface allowed us to estimate the exact influence of the dielectric environment of adsorbing solvents on the excitonic emission energy. Solvent adsorption was found to lead to an energy shift that is almost twice as high as suggested in previous studies. The amount of this energy shift, however, was comparably similar for all solvents, which suggests that the influence of the distinct dielectric constant in the outer environment less significantly influences the energy shift than previously thought. An interesting phenomenon was found when using acetonitrile as a solvent, which leads to greatly enhanced emission properties. The emission is more than twice as high as in the same air-suspended nanotubes, which suggests a process that depends on the laser intensity. In this study, it was reasonably explained how an energy down-conversion is possible through the coupling of the excitonic states with solvent vibrations. The strength of this coupling, however, also suggests adsorptions to the inside of the tubular nanotube structure leading to a coupled vibration of linear acetonitrile molecules that are adsorbed to the inner surface. The findings are important for the field of nanofluidics and provide an excellent system for efficient energy down-conversion in the transmission window of biological tissue. Having separated the pure effect of solvent adsorption allowed us to study the undisturbed molecular adsorption of polymers in these systems. The addition of polyfluorene polymer leads to a slow but stepwise intensity increase. The intensity increase is overlapping with a concurrent process that leads to an intensity decrease. Unfortunately, observing the stepwise process has a low spacial resolution of only 100-250nm, which is in the range of the exciton diffusion length in these systems and hinders detailed analysis. The two competing and overlapping processes processes are considered to originate from slow π-stacking and fast side-chain binding. Insights into this process are essential for selecting suitably formed polymers. However, the findings also emphasize the importance of solvent selection during nanotube dispersion since solvent effects were proven to be far more critical on the quantum yield in these systems. These measurements can shed light on the ongoing debate on polymers adsorption during nanotube individualization and allow us to direct the discussion more towards the selection of suitable solvents. This work provides fundamental insights into the adsorption of various molecules on the surface of individually observed suspended Single-Wall Carbon Nanotubes. It allows observing the adsorption of individual molecules below the optical limit in the solid, liquid, and gas phases. Nanotubes are able to act as sensing material for detecting changes in their direct surrounding. These fundamental findings are also crucial for increasing the quantum yield of solvent-dispersed nanotubes. They can provide better light-harvesting systems for microscopy in biological tissue and set the base for a more efficient telecommunication infrastructure with nano-scale spintronics devices and lasing components. The newly discovered solvent alignment in the nanotube surrounding can potentially also be used for supercapacitors that are needed for caching the calculation results in computational devices that use polymer wrapped nanotubes as transistors. Although fundamental, these studies develop a strategy to enlighten this room that is barely only visible at the bottom of the nano-scale.
The reaction products of the picolyl radicals at high temperature were characterized by mass‐selective threshold photoelectron spectroscopy in the gas phase. Aminomethylpyridines were pyrolyzed to initially produce picolyl radicals (m /z =92). At higher temperatures further thermal reaction products are generated in the pyrolysis reactor. All compounds were identified by mass‐selected threshold photoelectron spectroscopy and several hitherto unexplored reactive molecules were characterized. The mechanism for several dissociation pathways was outlined in computations. The spectrum of m /z =91, resulting from hydrogen loss of picolyl, shows four isomers, two ethynyl pyrroles with adiabatic ionization energies (IE\(_{ad}\)) of 7.99 eV (2‐ethynyl‐1H ‐pyrrole) and 8.12 eV (3‐ethynyl‐1H ‐pyrrole), and two cyclopentadiene carbonitriles with IE′s of 9.14 eV (cyclopenta‐1,3‐diene‐1‐carbonitrile) and 9.25 eV (cyclopenta‐1,4‐diene‐1‐carbonitrile). A second consecutive hydrogen loss forms the cyanocyclopentadienyl radical with IE′s of 9.07 eV (T\(_0\)) and 9.21 eV (S\(_1\)). This compound dissociates further to acetylene and the cyanopropynyl radical (IE=9.35 eV). Furthermore, the cyclopentadienyl radical, penta‐1,3‐diyne, cyclopentadiene and propargyl were identified in the spectra. Computations indicate that dissociation of picolyl proceeds initially via a resonance‐stabilized seven‐membered ring.
Nowadays, computational-aided investigations become an essential part in the chemical, biochemical or pharmaceutical research. With increasing computing power, the calculation of larger biological systems becomes feasible. In this work molecular mechanical (MM) and quantum mechanical approaches (QM) and the combination of both (QM/MM) have been applied to study several questions which arose from different working groups. Thus, this work comprises eight different subjects which deals with chemical reactions or proton transfer in enzymes, conformational changes of ligands or proteins and verification of experimental data.
This work firstly deals with reaction mechanisms of aromatic inhibitors of cysteine proteases which can be found in many organisms. These enzymes are responsible for various cancer or diseases as for example Human African Trypanosomiasis (HAT) or the Chagas disease. Aromatic SNAr-type electrophiles might offer a new possibility to covalently modify these proteases. Quantum mechanical calculations have been performed to gain insights into the energetics and possible mechanisms.
The next chapter also deals with Trypanosomiasis but the focus was set on a different enzyme. The particularity of Trypanosomiasis is the thiol metabolism which can also be modified by covalent inhibitors. In this context, the wild type and point mutations of the enzyme tryparedoxin have been investigated via molecular dynamic (MD) simulations to examine the influence of specific amino acids in regard to the inhibitor. Experimental data showed that a dimerization of the enzyme occurs if the inhibitor is present. Simulations revealed that the stability of the dimer decreases in absence of the inhibitor and thus confirms these experiments.
Further investigations concerning cysteine proteases such as cruzain and rhodesain have been conducted with respect to experimental kinetic data of covalent vinylsulfone inhibitors. Several approaches such as QM or QM/MM calculations and docking, MD or MMPBSA/MMGBSA simulations have been applied to reproduce these data. The utilization of force field approaches resulted in a qualitatively accurate prediction.
The kinase AKT is involved in a range of diseases and plays an important role in the formation of cancer. Novel covalent-allosteric inhibitors have been developed and crystallized in complex with AKT. It was shown that depending on the inhibitor a different cysteine residue is modified. To investigate these differences in covalent modification computational simulations have been applied.
Enoyl-(acyl carrier) (ENR) proteins are essential in the last step of the fatty acid biosynthesis II (FAS) and represent a good target for inhibition. The diphenylether inhibitor SKTS1 which was originally designed to target the ENR’s of Staphylococcus aureus was also crystallized in InhA, the ENR of Mycobacterium tuberculosis (TB). Crystal structures indicate a change of the inhibitor's tautomeric form. This subject was investigated via MD simulations. Results of these simulations confirmed the tautomerization of the inhibitor.
This work also deals with the development of a covalent inhibitor originating from a non-covalent ligand. The target FadA5 is an essential enzyme for the degradation of steroids in TB and is responsible for chronic tuberculosis. This enzyme was crystallized in complex with a non-covalent ligand which served as starting point for this study. Computations on QM or QM/MM level and docking and MD simulations have been applied to evaluate potential candidates.
The next chapter focuses on the modification of the product spectrum of Bacillus megaterium levansucrase, a polymerase which catalyzes the biosynthesis of fructans. The covalent modification of the wild type or mutants of the enzyme lead to an accumulation of oligosaccharides but also to polymers with higher polymerization degree. To understand these changes in product spectra MD simulations have been performed.
Finally, the proton transfer in catalytic cysteine histidine dyads was investigated. The focus was set on the influence of the relaxation of the protein environment to the reaction. Calculations of the enzymes FadA5 and rhodesain revealed that the preferred protonation state of the dyade depends on the protein environment and has an impact on the reaction barrier. Furthermore, the adaptation of the environment to a fixed protonation state was analyzed via MD simulations.
Excitation energy transport in DNA modelled by multi-chromophoric field-induced surface hopping
(2020)
Absorption of ultraviolet light is known as a major source of carcinogenic mutations of DNA. The underlying processes of excitation energy dissipation are yet not fully understood. In this work we provide a new and generally applicable route for studying the excitation energy transport in multi-chromophoric complexes at an atomistic level. The surface-hopping approach in the frame of the extended Frenkel exciton model combined with QM/MM techniques allowed us to simulate the photodynamics of the alternating (dAdT)10 : (dAdT)10 double-stranded DNA. In accordance with recent experiments, we find that the excited state decay is multiexponential, involving a long and a short component which are due to two distinct mechanisms: formation of long-lived delocalized excitonic and charge transfer states vs. ultrafast decaying localized states resembling those of the bare nucleobases. Our simulations explain all stages of the ultrafast photodynamics including initial photoexcitation, dynamical evolution out of the Franck-Condon region, excimer formation and nonradiative relaxation to the ground state.
Tetraiododiborane(4) (B\(_2\)I\(_4\)) is a Polymer based on sp\(^3\) Boron in the Solid State
(2020)
Herein we present the first solid‐state structures of tetraiododiborane(4) (B\(_2\)I\(_4\)), which was long believed to exist in all phases as discrete molecules with planar, tricoordinate boron atoms, like the lighter tetrahalodiboranes(4) B\(_2\)F\(_4\), B\(_2\)Cl\(_4\), and B\(_2\)Br\(_4\). Single‐crystal X‐ray diffraction, solid‐state NMR, and IR measurements indicate that B\(_2\)I\(_4\) in fact exists as two different polymeric forms in the solid state, both of which feature boron atoms in tetrahedral environments. DFT calculations are used to simulate the IR spectra of the solution and solid‐state structures, and these are compared with the experimental spectra.
Iodine oxides appear as reactive intermediates in atmospheric chemistry. Here, we investigate IO and HOI by mass‐selective threshold photoelectron spectroscopy (ms‐TPES), using synchrotron radiation. IO and HOI are generated by photolyzing iodine in the presence of ozone. For both molecules, accurate ionization energies are determined, 9.71±0.02 eV for IO and 9.79±0.02 eV for HOI. The strong spin‐spin interaction in the 3Σ− ground state of IO+ leads to an energy splitting into the Ω=0 and Ω=±1 sublevels. Upon ionization, the I−O bond shortens significantly in both molecules; thus, a vibrational progression, assigned to the I−O stretch, is apparent in both spectra.
Herein we report a broad series of new trinuclear supramolecular Ru(bda) macrocycles bearing different substituents at the axial or equatorial ligands which enabled investigation of substituent effects on the catalytic activities in chemical and photocatalytic water oxidation. Our detailed investigations revealed that the activities of these functionalized macrocycles in water oxidation are significantly affected by the position at which the substituents were introduced. Interestingly, this effect could not be explained based on the redox properties of the catalysts since these are not markedly influenced by the functionalization of the ligands. Instead, detailed investigations by X-ray crystal structure analysis and theoretical simulations showed that conformational changes imparted by the substituents are responsible for the variation of catalytic activities of the Ru macrocycles. For the first time, macrocyclic structure of this class of water oxidation catalysts is unequivocally confirmed and experimental indication for a hydrogen-bonded water network present in the cavity of the macrocycles is provided by crystal structure analysis. We ascribe the high catalytic efficiency of our Ru(bda) macrocycles to cooperative proton abstractions facilitated by such a network of preorganized water molecules in their cavity, which is reminiscent of catalytic activities of enzymes at active sites.
Rapid multiple-quantum three-dimensional fluorescence spectroscopy disentangles quantum pathways
(2019)
Coherent two-dimensional spectroscopy is a powerful tool for probing ultrafast quantum dynamics in complex systems. Several variants offer different types of information but typically require distinct beam geometries. Here we introduce population-based three-dimensional (3D) electronic spectroscopy and demonstrate the extraction of all fourth- and multiple sixth-order nonlinear signal contributions by employing 125-fold (1⨯5⨯5⨯5) phase cycling of a four-pulse sequence. Utilizing fluorescence detection and shot-to-shot pulse shaping in single-beam geometry, we obtain various 3D spectra of the dianion of TIPS-tetraazapentacene, a fluorophore with limited stability at ambient conditions. From this, we recover previously unknown characteristics of its electronic two-photon state. Rephasing and nonrephasing sixth-order contributions are measured without additional phasing that hampered previous attempts using noncollinear geometries. We systematically resolve all nonlinear signals from the same dataset that can be acquired in 8 min. The approach is generalizable to other incoherent observables such as external photoelectrons, photocurrents, or photoions.
We present a theoretical study on exciton–exciton annihilation (EEA) in a molecular dimer. This process is monitored using a fifth-order coherent two-dimensional (2D) spectroscopy as was recently proposed by Dostál et al. [Nat. Commun. 9, 2466 (2018)]. Using an electronic three-level system for each monomer, we analyze the different paths which contribute to the 2D spectrum. The spectrum is determined by two entangled relaxation processes, namely, the EEA and the direct relaxation of higher lying excited states. It is shown that the change of the spectrum as a function of a pulse delay can be linked directly to the presence of the EEA process.
For the rational design of new fluorophores, reliable predictions of fluorescence quantum yields from first principles would be of great help. However, efficient computational approaches for predicting transition rates usually assume that the vibrational structure is harmonic. While the harmonic approximation has been used successfully to predict vibrationally resolved spectra and radiative rates, its reliability for non-radiative rates is much more questionable. Since non-adiabatic transitions convert large amounts of electronic energy into vibrational energy, the highly excited final vibrational states deviate greatly from harmonic oscillator eigenfunctions. We employ a time-dependent formalism to compute radiative and non-radiative rates for transitions and study the dependence on model parameters. For several coumarin dyes we compare different adiabatic and vertical harmonic models (AS, ASF, AH, VG, VGF, VH), in order to dissect the
importance of displacements, frequency changes and Duschinsky rotations. In addition we analyze the effect of different broadening functions (Gaussian, Lorentzian or Voigt). Moreover, to assess the qualitative influence of anharmonicity on the internal conversion rate, we develop a simplified anharmonic model. We adress the reliability of these models considering the potential errors introduced by the harmonic approximation and the phenomenological width of the broadening function.
The multistate metadynamics for automatic exploration of conical intersection seams and systematic location of minimum energy crossing points in molecular systems and its implementation into the software package metaFALCON is presented. Based on a locally modified energy gap between two Born–Oppenheimer electronic states as a collective variable, multistate metadynamics trajectories are driven toward an intersection point starting from an arbitrary ground state geometry and are subsequently forced to explore the conical intersection seam landscape. For this purpose, an additional collective variable capable of distinguishing structures within the seam needs to be defined and an additional bias is introduced into the off-diagonal elements of an extended (multistate) electronic Hamiltonian. We demonstrate the performance of the algorithm on the examples of the 1,3-butadiene, benzene, and 9H-adenine molecules, where multiple minimum energy crossing points could be systematically located using the Wiener number or Cremer–Pople parameters as collective variables. Finally, with the example of 9H-adenine, we show that the multistate metadynamics potential can be used to obtain a global picture of a conical intersection seam. Our method can be straightforwardly connected with any ab initio or semiempirical electronic structure theory that provides energies and gradients of the respective electronic states and can serve for systematic elucidation of the role of conical intersections in the photophysics and photochemistry of complex molecular systems, thus complementing nonadiabatic dynamics simulations.
Comparison of moving and fixed basis sets for nonadiabatic quantum dynamics at conical intersections
(2020)
We assess the performance of two different types of basis sets for nonadiabatic quantum dynamics at conical intersections. The basis sets of both types are generated using Ehrenfest trajectories of nuclear coherent states. These trajectories can either serve as a moving (time-dependent) basis or be employed to sample a fixed (time-independent) basis. We demonstrate on the example of two-state two-dimensional and three-state five-dimensional models that both basis set types can yield highly accurate results for population transfer at intersections, as compared with reference quantum dynamics. The details of wave packet evolutions are discussed for the case of the two-dimensional model. The fixed basis is found to be superior to the moving one in reproducing nonlocal spreading and maintaining correct shape of the wave packet upon time evolution. Moreover, for the models considered, the fixed basis set outperforms the moving one in terms of computational efficiency.
Comparison of moving and fixed basis sets for nonadiabatic quantum dynamics at conical intersections
(2020)
We assess the performance of two different types of basis sets for nonadiabatic quantum dynamics at conical intersections. The basis sets of both types are generated using Ehrenfest trajectories of nuclear coherent states. These trajectories can either serve as a moving (time-dependent) basis or be employed to sample a fixed (time-independent) basis. We demonstrate on the example of two-state two-dimensional and three-state five-dimensional models that both basis set types can yield highly accurate results for population transfer at intersections, as compared with reference quantum dynamics. The details of wave packet evolutions are discussed for the case of the two-dimensional model. The fixed basis is found to be superior to the moving one in reproducing true nonlocal spreading and maintaining correct shape of the wave packet upon time evolution. Moreover, for the models considered, the fixed basis set outperforms the moving one in terms of computational efficiency.
The origin of the solvent dependence of fluorescence quantum yields in dipolar merocyanine dyes
(2019)
Fluorophores with high quantum yields are desired for a variety of applications. Optimization of promising chromophores requires an understanding of the non-radiative decay channels that compete with the emission of photons. We synthesized a new derivative of the famous laser dye 4-dicyanomethylen-2-methyl-6-p-dimethylaminostyryl-4H-pyran (DCM),i.e., merocyanine 4-(dicyanomethylene)-2-tert-butyl-6-[3-(3-butyl-benzothiazol-2-ylidene)1-propenyl]-4H-pyran (DCBT). We measured fluorescence lifetimes and quantum yields in a variety of solvents and found a trend opposite to the energy gap law.This motivated a theoretical investigation into the possible non-radiative decay channels. We propose that a barrier to a conical intersection exists that is very sensitive to the solvent polarity. The conical intersection is characterized by a twisted geometry which allows a subsequent photoisomerization. Transient absorption measurements confirmed the formation of a photoisomer in unpolar solvents, while the measurements of fluorescence quantum yields at low temperature demonstrated the existence of an activation energy barrier.
Collective Response in DNA-Stabilized Silver Cluster Assemblies from First-Principles Simulations
(2019)
We investigate fluorescence resonant energy transfer and concurrent electron dynamics in a pair of DNA-stabilized silver clusters. For this purpose we introduce a methodology for the simulation of collective optoelectronic properties of coupled molecular aggregates starting from first-principles quantum chemistry, which can be further applied to a broad range of coupled molecular systems to study their electro-optical response. Our simulations reveal the existence of low-energy coupled excitonic states, which enable ultrafast energy transport between subunits, and give insight into the origin of the fluorescence signal in coupled DNA-stabilized silver clusters, which have been recently experimentally detected. Hence, we demonstrate the possibility of constructing ultrasmall energy transmission lines and optical converters based on these hybrid molecular systems.
The photophysics of a molecular triad consisting of a BODIPY dye and two pyrene chromophores attached in 2-position are investigated by steady state and fs-time resolved transient absorption spectroscopy as well as by field induced surface hopping (FISH) simulations. While the steady state measurements indicate moderate chromophore interactions within the triad, the time resolved measurements show upon pyrene excitation a delocalised excited state which localises onto the BODIPY chromophore with a time constant of 0.12 ps. This could either be interpreted as an internal conversion process within the excitonically coupled chromophores or as an energy transfer from the pyrenes to the BODIPY dye. The analysis of FISH-trajectories reveals an oscillatory behaviour where the excitation hops between the pyrene units and the BODIPY dye several times until finally they become localised on the BODIPY chromophore within 100 fs. This is accompanied by an ultrafast nonradiative relaxation within the excitonic manifold mediated by the nonadiabatic coupling. Averaging over an ensemble of trajectories allowed us to simulate the electronic state population dynamics and determine the time constants for the nonradiative transitions that mediate the ultrafast energy transfer and exciton localisation on BODIPY.
Excitons in the molecular aggregates of chromophores are key participants in important processes such as photosynthesis or the functioning of organic photovoltaic devices. Therefore, the exploration of exciton dynamics is crucial. Here we report on exciton localization during excited-state dynamics of the recently synthesized tetracene trimer [Liu et al., Org. Lett., 2017, 19, 580]. We employ the surface hopping approach to nonadiabatic molecular dynamics in conjunction with the long-range corrected time-dependent density functional tight binding (LC-TDDFTB) method [Humeniuk and Mitrić, Comput. Phys. Commun., 2017, 221, 174]. Utilizing a set of descriptors based on the transition density matrix, we perform comprehensive analysis of exciton dynamics. The obtained results reveal an ultrafast exciton localization to a single tetracene unit of the trimer during excited-state dynamics, along with exciton transfer between units.
Reactive hydrocarbon molecules like radicals, biradicals and carbenes are not only key players in combustion processes and interstellar and atmospheric chemistry, but some of them are also important intermediates in organic synthesis. These systems typically possess many low-lying, strongly coupled electronic states. After light absorption, this leads to rich photodynamics characterized by a complex interplay of nuclear and electronic motion, which is still not comprehensively understood and not easy to investigate both experimentally and theoretically. In order to elucidate trends and contribute to a more general understanding, we here review our recent work on excited-state dynamics of open-shell hydrocarbon species using time-resolved photoelectron spectroscopy and field-induced surface hopping simulations, and report new results on the excited-state dynamics of the tropyl and the 1-methylallyl radical. The different dynamics are compared, and the difficulties and future directions of time-resolved photoelectron spectroscopy and excited state dynamics simulations of open-shell hydrocarbon molecules are discussed.
In the last two decades, coherent multidimensional femtosecond spectroscopy has become a powerful and versatile tool to investigate chemical dynamics of a broad variety of quantum systems. The combination of transient information, equivalent to pumpprobe spectroscopy, with information about coupling between energetic states and the system environment allows an extensive insight into atomic and molecular properties. Many experimental 2D setups employ the coherence-detected approach, where nonlinear system responses are emitted as coherent electric _elds which are detected after spatial separation from the excitation pulses. As an alternative to this experimentally demanding approach, population-based 2D spectroscopy has been established. Here, the coherent information is encoded in the phases of a collinear excitation-pulse train and extracted from incoherent signals like uorescence via phase cycling. In principle, the use of uorescence as observable can boost the sensitivity down to the single-molecule level. The aim of this work was the realization of a pulse-shaper assisted fully collinear uorescence-detected 2D setup and the conducting of proof-of-principle experiments in the liquid phase. This inherently phase-stable and compact setup has been presented in chapter 3, with the utilized pulse shaper granting amplitude and phase modulation on a shot-to-shot basis. Two di_erent types of white-light sources have been applied and evaluated with regard to their respective advantages for 2D uorescence spectroscopy. A variety of artifact sources that can occur with the present setup have been discussed, and correction schemes and instructions for avoiding these artifacts have been provided. In chapter 4, the setup has been demonstrated by employing a four-pulse sequence on cresyl violet in ethanol. A detailed data-acquisition and data-analysis procedure has been presented, where phase cycling is used for extraction of the nonlinear contributions. Depending on the phase-cycling scheme, it is possible to recover all nonlinear contributions in a single measurement. Well-known quantum-beating behavior of cresyl violet during the population time could be reproduced. Due to measuring in a rotating-frame environment and 1 kHz shot-to-shot pulse incrementation, it was possible to obtain a 2D spectrum for one population time in 6 s. Via error evaluation it has been shown that 10_ averaging (1 min) is su_cient to obtain a root-mean-square error of < 0:05 compared to 400_ averaging, proving that the utilized acquisition scheme is well suited. The realization of the _rst experimental uorescence-detected 2Q 2D experiment and the _rst experimental access to the theoretically predicted 1Q-2Q contribution
An experimental setup for probing ultrafast dynamics at the diffraction limit was developed, characterized and demonstrated in the scope of the thesis, aiming for optical investigations while simultaneously approaching the physical limits on the length and timescale.
An overview of this experimental setup was given in Chapter 2, as well as the considerations that led to the selection of the individual components. Broadband laser pulses with a length of 9.3 fs, close to the transform limit of 7.6 fs, were focused in a NA = 1.4 immersion oil objective, to the diffraction limit of below 300 nm (FWHM).
The spatial focus shape was characterized with off-resonance gold nanorod scatterers scanned through the focal volume. For further insights into the functionality and limitations of the pulse shaper, its calibration procedure was reviewed. The deviations between designed and experimental pulse shapes were attributed to pulse-shaper artifacts, including voltage-dependent inter-layer as well as intra-layer LCD-pixel crosstalk, Fabry-Pérot-type reflections in the LCD layers, and space-time coupling. A pixel-dependent correction was experimentally carried out, which can be seen as an extension of the initial calibration to all possible voltage combinations of the two LCD layers.
The capabilities of the experimental setup were demonstrated in two types of experiments, targeting the nonlinearity of gold (Chapter 3) as well as two-dimensional spectroscopy at micro-structured surfaces (Chapter 4).
Investigating thin films, an upper bound for the absolute value for the imaginary part of the nonlinear refractive index of gold could be set to |n′′ 2 (Au)| < 0.6·10−16 m2/W, together with |n′ 2 (Au)| < 1.2·10−16 m2/W as an upper bound for the absolute value of the real part. Finite-difference time-domain simulations on y-shaped gold nanostructures indicated that a phase change of ∆Φ ≥ 0.07 rad between two plasmonic modes would induce a sufficient change in the spatial contrast of emission to the far-field to be visible in the experiment. As the latter could not be observed, this value of ∆Φ was determined as the upper bound for the experimentally induced phase change. An upper bound of 52 GW/cm2 was found for the damage threshold.
In Chapter 4, a novel method for nonlinear spectroscopy on surfaces was presented. Termed coherent two-dimensional fluorescence micro-spectroscopy, it is capable of exploring ultrafast dynamics in nanostructures and molecular systems at the diffraction limit. Two-dimensional spectra of spatially isolated hotspots in structured thin films of fluorinated zinc phthalocyanine (F16ZnPc) dye were taken with a 27-step phase-cycling scheme. Observed artifacts in the 2D maps were identified as a consequence from deviations between the desired and the experimental pulse shapes. The optimization procedures described in Chapter 2 successfully suppressed the deviations to a level where the separation from the nonlinear sample response was feasible.
The experimental setup and methods developed and presented in the scope of this thesis demonstrate its flexibility and capability to study microscopic systems on surfaces. The systems exemplarily shown are consisting of metal-organic dyes and metallic nanostructures, represent samples currently under research in the growing fields of organic semiconductors and plasmonics.
Space- and time-resolved UV-to-NIR surface spectroscopy and 2D nanoscopy at 1 MHz repetition rate
(2019)
We describe a setup for time-resolved photoemission electron microscopy (TRPEEM) with aberration correction enabling 3 nm spatial resolution and sub-20 fs temporal resolution. The latter is realized by our development of a widely tunable (215–970 nm) noncollinear optical parametric amplifier (NOPA) at 1 MHz repetition rate. We discuss several exemplary applications. Efficient photoemission from plasmonic Au nanoresonators is investigated with phase-coherent pulse pairs from an actively stabilized interferometer. More complex excitation fields are created with a liquid-crystal-based pulse shaper enabling amplitude and phase shaping of NOPA pulses with spectral components from 600 to 800 nm. With this system we demonstrate spectroscopy within a single plasmonic nanoslit resonator by spectral amplitude shaping and investigate the local field dynamics with coherent two-dimensional (2D) spectroscopy at the nanometer length scale (“2D nanoscopy”). We show that the local response varies across a distance as small as 33 nm in our sample. Further, we report two-color pump–probe experiments using two independent NOPA beamlines. We extract local variations of the excited-state dynamics of a monolayered 2D material (WSe2) that we correlate with low-energy electron microscopy (LEEM) and reflectivity (LEER) measurements. Finally, we demonstrate the in-situ sample preparation capabilities for organic thin films and their characterization via spatially resolved electron diffraction and dark-field LEEM.
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.
Doping plays a decisive role for the functionality of semiconductor-based (opto-)electronic
devices. Hence, the technological utilization of semiconductors necessitates control and a
fundamental understanding of the doping process. However, for low-dimensional systems like
carbon nanotubes, neither concentration nor distribution of charge carriers is currently well known.
The research presented in this thesis investigated the doping of semiconducting carbon nanotubes by spectroscopic methods. Samples of highly purified, intrinsic (6,5) single-wall carbon nanotubes were fabricated using polymer stabilization.
Chapter 4 showed that both electro- and redox chemical $p$-doping lead to identical bleaching,
blueshift, broadening and asymmetry of the S$_1$ exciton absorption band. The similar spectral changes induced by both doping schemes suggest that optical spectra can not be used to infer what process was used for doping. Perhaps more importantly, it also indicates that the distribution of charges and the character of the charge transfer states does not depend on the method by which doping was achieved.
The detailed analysis of the doping-induced spectral changes in chapter 5 suggests that surplus charges are distributed inhomogeneously. The hypothesis of carrier localization is consistent with the high sensitivity of the S$_1$ exciton photoluminescence to additional charge carriers and with the stretched-exponential decay of the exciton population following ultrafast excitation.
Both aspects are in good agreement with diffusion-limited contact quenching of excitons
at localized charges. Moreover, localized charges act – similar to structural defects – as
perturbations to the bandstructure as evidenced by a doping-induced increase of the D-band
antiresonance in the mid-infrared spectrum.
Quantum mechanical model calculations also suggest that counterions play a crucial role in
carrier localization. Counterion adsorption at the nanotube surface is thus believed to induce charge traps of more than 100 meV depth with a carrier localization length on the order of 3 - 4 nm. The doping-induced bleach of interband absorption is accompanied by an absorption increase in the IR region below 600 meV. The observed shift of the IR peak position indicates a continuous transition from localized to rather delocalized charge carriers. This transition is caused by the increase of the overlap of charge carrier wavefunctions at higher charge densities and was modeled by classical Monte-Carlo simulations of intraband absorption.
Chapter 6 discussed the spectroscopy of heavily (degenerately) doped nanotubes, which are
characterized by a Drude-response of free-carrier intraband absorption in the optical conductivity spectrum. In the NIR spectral region, the S$_1$ exciton and X$+^_1$ trion absorption is replaced by a nearly 1 eV broad and constant absorption signal, the so-called H-band. The linear and transient absorption spectra of heavily doped nanotubes suggest that the H-band can be attributed to free-carrier interband transitions.
Chapter 7 dealt with the quantification of charge carrier densities by linear absorption spectroscopy.
A particularly good measure of the carrier density is the S$_1$ exciton bleach. For a
bleach below about 50 %, the carrier density is proportional to the bleach. At higher doping
levels, deviations from the linear behavior were observed. For doping levels exceeding a
fully bleached S$_1$ band, the determination of the normalized oscillator strength f$\text{1st}$ over the
whole first subband region (trion, exciton, free e-h pairs) is recommended for quantification of carrier densities. Based on the nanotube density of states, the carrier density $n$ can be estimated using $n = 0.74\,\text{nm}^{−1} \cdot (1 − f_\text{1st})$.
In the last part of this thesis (chapter 8), the time-resolved spectroelectrochemistry was
extended to systems beyond photostable carbon nanotube films. The integration of a flowelectrolysis cell into the transient absorption spectrometer allows the investigation of in-situ electrochemically generated but photounstable molecules due to a continuous exchange of sample volume. First time-resolved experiments were successfully performed using the dye
methylene blue and its electrochemically reduced form leucomethylene blue.
Major advances in the chemistry of 5th and 6th row heavy p-block element compounds have recently uncovered intriguing reactivity patterns towards small molecules such as H\(_2\), CO\(_2\), and ethylene. However, well-defined, homogeneous insertion reactions with carbon monoxide, one of the benchmark substrates in this field, have not been reported to date. We demonstrate here, that a cationic bismuth amide undergoes facile insertion of CO into the Bi–N bond under mild conditions. This approach grants direct access to the first cationic bismuth carbamoyl species. Its characterization by NMR, IR, and UV/vis spectroscopy, elemental analysis, single-crystal X-ray analysis, cyclic voltammetry, and DFT calculations revealed intriguing properties, such as a reversible electron transfer at the bismuth center and an absorption feature at 353 nm ascribed to a transition involving σ- and π-type orbitals of the bismuth-carbamoyl functionality. A combined experimental and theoretical approach provided insight into the mechanism of CO insertion. The substrate scope could be extended to isonitriles.
We present a theoretical study on exciton–exciton annihilation (EEA) in a molecular dimer. This process is monitored using a fifth-order coherent two-dimensional (2D) spectroscopy as was recently proposed by Dostál et al. [Nat. Commun. 9, 2466 (2018)]. Using an electronic three-level system for each monomer, we analyze the different paths which contribute to the 2D spectrum. The spectrum is determined by two entangled relaxation processes, namely, the EEA and the direct relaxation of higher lying excited states. It is shown that the change of the spectrum as a function of a pulse delay can be linked directly to the presence of the EEA process.
Mechanistic Insights into the Inhibition of Cathepsin B and Rhodesain with Low-Molecular Inhibitors
(2019)
Cysteine proteases play a crucial role in medical chemistry concerning various fields reaching from more common ailments like cancer and hepatitis to less noted tropical diseases, namely the so-called African Sleeping Sickness (Human Arfican Trypanosomiasis). Detailed knowledge about the catalytic function of these systems is highly desirable for drug research in the respective areas. In this work, the inhibition mechanisms of the two cysteine proteases cathepsin B and rhodesain with respectively one low-molecular inhibitor class were investigated in detail, using computational methods. In order to sufficiently describe macromolecular systems, molecular mechanics based methods (MM) and quantum mechanical based method (QM), as well as hybrid methods (QM/MM) combining those two approaches, were applied.
For Cathespin B, carbamate-based molecules were investigated as potential inhibitors for the cysteine protease. The results indicate, that water-bridged proton-transfer reactions play a crucial role for the inhibition. The energetically most favoured pathway (according to the calculations) includes an elimination reaction following an E1cB mechanism with a subsequent carbamylation of the active site amino acid cysteine.
Nitroalkene derivatives were investigated as inhibitors for rhodesain. The investigation of structurally similar inhibitors showed, that even small steric differences can crucially influence the inhibition potential of the components. Furthermore, the impact of a fluorination of the nitroalkene inhibitors on the inhibition mechanism was investigated. According to experimental data measured from the working group of professor Schirmeister in Mainz, fluorinated nitroalkenes show – in contrast to the unfluorinated compounds – a time dependent inhibition efficiency. The calculations of the systems indicate, that the fluorination impacts the non-covalent interactions of the inhibitors with the enzymatic environment of the enzyme which results in a different inhibition behaviour.
We demonstrate two-quantum (2Q) coherent two-dimensional (2D)electronic spectroscopy using a shot-to-shot-modulated pulse shaper and fluorescence detection. Broadband collinear excitation is realized with the supercontinuum output of an argon-filled hollow-core fiber, enabling us to excite multiple transitions simultaneously in the visible range. The 2Q contribution is extracted via a three-pulse sequence with 16-fold phase cycling and simulated employing cresyl violet as a model system. Furthermore, we report the first experimental realization of one-quantum−two-quantum (1Q-2Q) 2D spectroscopy, offering less congested spectra as compared with the 2Q implementation. We avoid scattering artifacts and nonresonant solvent contributions by using fluorescence as the observable. This allows us to extract quantitative information about doubly excited states that agree with literature expectations. The high sensitivity and background-free nature of fluorescence detection allow for a general applicability of this method to many other systems.
Background: Cyclic aminals are core features of natural products, drug molecules and important synthetic intermediates. Despite their relevance, systematic investigations into their stability towards hydrolysis depending on the pH value are lacking.
Results: A set of cyclic aminals was synthesized and their stability quantified by kinetic measurements. Steric and electronic effects were investigated by choosing appropriate groups. Both molecular mechanics (MM) and density functional theory (DFT) based studies were applied to support and explain the results obtained. Rapid decomposition is observed in acidic aqueous media for all cyclic aminals which occurs as a reversible reaction. Electronic effects do not seem relevant with regard to stability, but the magnitude of the conformational energy of the ring system and pK a values of the N-3 nitrogen atom.
Conclusion: Cyclic aminals are stable compounds when not exposed to acidic media and their stability is mainly dependent on the conformational energy of the ring system. Therefore, for the preparation and work-up of these valuable synthetic intermediates and natural products, appropriate conditions have to be chosen and for application as drug molecules their sensitivity towards hydrolysis has to be taken into account.
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.
Molecules containing multiple bonds between atoms—most often in the form of olefins—are ubiquitous in nature, commerce, and science, and as such have a huge impact on everyday life. Given their prominence, over the last few decades, frequent attempts have been made to perturb the structure and reactivity of multiply-bound species through bending and twisting. However, only modest success has been achieved in the quest to completely twist double bonds in order to homolytically cleave the associated π bond. Here, we present the isolation of double-bond-containing species based on boron, as well as their fully twisted diradical congeners, by the incorporation of attached groups with different electronic properties. The compounds comprise a structurally authenticated set of diamagnetic multiply-bound and diradical singly-bound congeners of the same class of compound.
Molecules containing multiple bonds between atoms—most often in the form of olefins—are ubiquitous in nature, commerce, and science, and as such have a huge impact on everyday life. Given their prominence, over the last few decades, frequent attempts have been made to perturb the structure and reactivity of multiply-bound species through bending and twisting. However, only modest success has been achieved in the quest to completely twist double bonds in order to homolytically cleave the associated π bond. Here, we present the isolation of double-bond-containing species based on boron, as well as their fully twisted diradical congeners, by the incorporation of attached groups with different electronic properties. The compounds comprise a structurally authenticated set of diamagnetic multiply-bound and diradical singly-bound congeners of the same class of compound.
The invention of laser pulse shapers allowed for various quantum control experiments, where a chemical reaction is guided by specifically tailored laser pulses. However, despite of the prominent role of the liquid phase in chemistry, no successful attempt for controlling the selectivity of a bond-fission reaction has yet been reported in this state of matter. Promising candidates for such an experiment are C$_{\infty\mathrm{v}}$-symmetric trihalide anions with two different chemical bonds like $\ce{I2Cl-}$, because these molecules notionally offer the most simplest selectivity-control scenario of breaking either the one or the other bond and they are expected to dissociate under ultraviolet (UV) irradiation like it is known for the most-studied trihalide $\ce{I3-}$.
In order to investigate in this thesis the possibility that the dissociation reaction of such trihalides branches into two different photofragments, the ultrafast photodissociation dynamics of $\ce{I3-}$, $\ce{Br3-}$, $\ce{IBr2-}$ and $\ce{ICl2-}$ (point group D$_{\infty\mathrm{h}}$) as well as of $\ce{I2Br-}$ and $\ce{I2Cl-}$ (point group C$_{\infty\mathrm{v}}$) in dichloromethane solution were measured with broadband transient absorption spectroscopy in magic-angle configuration. The identification of the reaction pathway(s) relies on vibrational wavepacket oscillations, which survive the dissociation process and therefore carry not only informations about the reactant trihalides but also about the fragment dihalides.
These characteristic vibrational wavenumbers were extracted from the measured transient absorption spectra by globally fitting the population dynamics together with the wavepacket dynamics. Until recently, such a combined model function was not available in the well-established fitting tool Glotaran. This made it inevitable to develop a custom implementation of the underlying variable-projection fitting algorithm, for which the computer-algebra software Mathematica was chosen. Mathematica's sophisticated built-in functions allow not only for a high flexibility in constructing arbitrary model functions, but also offer the possibility to automatically calculate the derivative(s) of a model function. This allows the fitting procedure to use the exact Jacobian matrix instead of approximating it with the finite difference method.
Against the expectation, only one of the two thinkable photodissociation channels was found for each of the investigated C$_{\infty\mathrm{v}}$ trihalides. Since the photofragments recombine, their absorption signal as well as the reactant ground state bleach recover. This happens in a biexponential manner, which in the case of $\ce{I3-}$ was interpreted by Ruhman and coworkers with the direct formation of a neutral dihalogen fragment $\ce{I2}$ beside the negatively charged dihalide fragment $\ce{I2-}$. In this thesis, such a direct reaction channel was not found and instead the fast component of the biexponential decay is explained with vibrational excess energy mediating the recombination-preceding electron transfer process $\ce{I2- + I -> I2 + I-}$, while the slow component is attributed to cooled-down fragments.
In addition to the trihalide experiments, the possibility of a magic-angle configuration for polarization-shaping control experiments was theoretically investigated in this thesis by deriving magic-angle conditions for the third-order electric-dipole response signal of arbitrarily polarized laser pulses. Furthermore, the subtleties of anisotropy signals violating the well-known range of \numrange{-0.2}{0.4} were studied.
Energy Transfer Between Squaraine Polymer Sections: From helix to zig-zag and All the Way Back
(2015)
Joint experimental and theoretical study of the absorption spectra of squaraine polymers in solution provide evidence that two different conformations are present in solution: a helix and a zig-zag structure. This unique situation allows investigating ultrafast energy transfer processes between different structural segments within a single polymer chain in solution. The understanding of the underlying dynamics is of fundamental importance for the development of novel materials for light-harvesting and optoelectronic applications. We combine here femtosecond transient absorption spectroscopy with time-resolved 2D electronic spectroscopy showing that ultrafast energy transfer within the squaraine polymer chains proceeds from initially excited helix segments to zig-zag segments or vice versa, depending on the solvent as well as on the excitation wavenumber. These observations contrast other conjugated polymers such as MEH-PPV where much slower intrachain energy transfer was reported. The reason for the very fast energy transfer in squaraine polymers is most likely a close matching of the density of states between donor and acceptor polymer segments because of very small reorganization energy in these cyanine-like chromophores.
The mechanism of excimer formation: an experimental and theoretical study on the pyrene dimer
(2017)
The understanding of excimer formation in organic materials is of fundamental importance, since excimers profoundly influence their functional performance in applications such as light-harvesting, photovoltaics or organic electronics. We present a joint experimental and theoretical study of the ultrafast dynamics of excimer formation in the pyrene dimer in a supersonic jet, which is the archetype of an excimer forming system. We perform simulations of the nonadiabatic photodynamics in the frame of TDDFT that reveal two distinct excimer formation pathways in the gas-phase dimer. The first pathway involves local excited state relaxation close to the initial Franck–Condon geometry that is characterized by a strong excitation of the stacking coordinate exhibiting damped oscillations with a period of 350 fs that persist for several picoseconds. The second excimer forming pathway involves large amplitude oscillations along the parallel shift coordinate with a period of ≈900 fs that after intramolecular vibrational energy redistribution leads to the formation of a perfectly stacked dimer. The electronic relaxation within the excitonic manifold is mediated by the presence of intermolecular conical intersections formed between fully delocalized excitonic states. Such conical intersections may generally arise in stacked π-conjugated aggregates due to the interplay between the long-range and short-range electronic coupling. The simulations are supported by picosecond photoionization experiments in a supersonic jet that provide a time-constant for the excimer formation of around 6–7 ps, in good agreement with theory. Finally, in order to explore how the crystal environment influences the excimer formation dynamics we perform large scale QM/MM nonadiabatic dynamics simulations on a pyrene crystal in the framework of the long-range corrected tight-binding TDDFT. In contrast to the isolated dimer, the excimer formation in the crystal follows a single reaction pathway in which the initially excited parallel slip motion is strongly damped by the interaction with the surrounding molecules leading to the slow excimer stabilization on a picosecond time scale.
The mechanism of excimer formation: an experimental and theoretical study on the pyrene dimer
(2017)
The understanding of excimer formation in organic materials is of fundamental importance, since excimers profoundly influence their functional performance in applications such as light-harvesting, photovoltaics or organic electronics. We present a joint experimental and theoretical study of the ultrafast dynamics of excimer formation in the pyrene dimer in a supersonic jet, which is the archetype of an excimer forming system. We perform simulations of the nonadiabatic photodynamics in the frame of TDDFT that reveal two distinct excimer formation pathways in the gas-phase dimer. The first pathway involves local excited state relaxation close to the initial Franck–Condon geometry that is characterized by a strong excitation of the stacking coordinate exhibiting damped oscillations with a period of 350 fs that persist for several picoseconds. The second excimer forming pathway involves large amplitude oscillations along the parallel shift coordinate with a period of ≈900 fs that after intramolecular vibrational energy redistribution leads to the formation of a perfectly stacked dimer. The electronic relaxation within the excitonic manifold is mediated by the presence of intermolecular conical intersections formed between fully delocalized excitonic states. Such conical intersections may generally arise in stacked π-conjugated aggregates due to the interplay between the long-range and short-range electronic coupling. The simulations are supported by picosecond photoionization experiments in a supersonic jet that provide a time-constant for the excimer formation of around 6–7 ps, in good agreement with theory. Finally, in order to explore how the crystal environment influences the excimer formation dynamics we perform large scale QM/MM nonadiabatic dynamics simulations on a pyrene crystal in the framework of the long-range corrected tight-binding TDDFT. In contrast to the isolated dimer, the excimer formation in the crystal follows a single reaction pathway in which the initially excited parallel slip motion is strongly damped by the interaction with the surrounding molecules leading to the slow excimer stabilization on a picosecond time scale.
Most proteins work in aqueous solution and the interaction with water strongly affects their structure and function. However, experimentally the motion of a specific single water molecule is difficult to trace by conventional methods, because they average over the heterogeneous solvation structure of bulk water surrounding the protein. Here, we provide a detailed atomistic picture of the water rearrangement dynamics around the –CONH– peptide linkage in the two model systems formanilide and acetanilide, which simply differ by the presence of a methyl group at the peptide linkage. The combination of picosecond pump–probe time-resolved infrared spectroscopy and molecular dynamics simulations demonstrates that the solvation dynamics at the molecular level is strongly influenced by this small structural difference. The effective timescales for solvent migration triggered by ionization are mainly controlled by the efficiency of the kinetic energy redistribution rather than the shape of the potential energy surface. This approach provides a fundamental understanding of protein hydration and may help to design functional molecules in solution with tailored properties.
Immature or semi-mature dendritic cells (DCs) represent tolerogenic maturation stages that can convert naive T cells into Foxp3\(^{+}\) induced regulatory T cells (iTreg). Here we found that murine bone marrow-derived DCs (BM-DCs) treated with cholera toxin (CT) matured by up-regulating MHC-II and costimulatory molecules using either high or low doses of CT (CT\(^{hi}\), CT\(^{lo}\)) or with cAMP, a known mediator CT signals. However, all three conditions also induced mRNA of both isoforms of the tolerogenic molecule cytotoxic T lymphocyte antigen 2 (CTLA-2α and CTLA-2β). Only DCs matured under CT\(^{hi}\) conditions secreted IL-1β, IL-6 and IL-23 leading to the instruction of Th17 cell polarization. In contrast, CT\(^{lo}\)- or cAMP-DCs resembled semi-mature DCs and enhanced TGF-β-dependent Foxp3\(^{+}\) iTreg conversion. iTreg conversion could be reduced using siRNA blocking of CTLA-2 and reversely, addition of recombinant CTLA-2α increased iTreg conversion in vitro. Injection of CT\(^{lo}\)- or cAMP-DCs exerted MOG peptide-specific protective effects in experimental autoimmune encephalomyelitis (EAE) by inducing Foxp3\(^{+}\) Tregs and reducing Th17 responses. Together, we identified CTLA-2 production by DCs as a novel tolerogenic mediator of TGF-β-mediated iTreg induction in vitro and in vivo. The CT-induced and cAMP-mediated up-regulation of CTLA-2 also may point to a novel immune evasion mechanism of Vibrio cholerae.
We present a joint experimental and computational study of the nonradiative deactivation of the benzyl radical, C\(_7\)H\(_7\) after UV excitation. Femtosecond time-resolved photoelectron imaging was applied to investigate the photodynamics of the radical. The experiments were accompanied by excited state dynamics simulations using surface hopping. Benzyl has been excited at 265 nm into the D-band (\(\pi\pi^*\)) and the dynamics was probed using probe wavelengths of 398 nm or 798 nm. With 398 nm probe a single time constant of around 70-80 fs was observed. When the dynamics was probed at 798 nm, a second time constant \(\tau_2\)=1.5 ps was visible. It is assigned to further non-radiative deactivation to the lower-lying D\(_1\)/D\(_2\) states.
The design of ordered arrays of metal nanoclusters such as for example 2D cluster organic frameworks might open a new route towards the development of materials with tailored optical properties. Such systems could serve as plasmonically enhanced light-harvesting materials, sensors or catalysts. We present here a theoretical approach for the simulation of the optical properties of ordered arrays of metal clusters that is based on the ab initio parametrized Frenkel exciton model. We demonstrate that small atomically precise silver clusters can be assembled in one- and two-dimensional arrays on suitably designed porphyrin templates exhibiting remarkable optical properties. By employing explicit TDDFT calculations on smaller homologs, we show that the intrinsic optical properties of metal clusters are largely preserved but undergo J- and H-type excitonic coupling that results in controllable splitting of their excited states.
Furthermore, ab initio parameterized Frenkel exciton model calculations allow us to predict an energetic splitting of up to 0.77 eV in extended two-dimensional square arrays and 0.79 eV in tilted square aggregates containing up to 25 cluster-porphyrin subunits.
We present a theoretical approach for the simulation of the electric field and exciton propagation in ordered arrays constructed of molecular-sized noble metal clusters bound to organic polymer templates. In order to describe the electronic coupling between individual constituents of the nanostructure we use the ab initio parameterized transition charge method which is more accurate than the usual dipole-dipole coupling. The electronic population dynamics in the nanostructure under an external laser pulse excitation is simulated by numerical integration of the time-dependent Schrodinger equation employing the fully coupled Hamiltonian. The solution of the TDSE gives rise to time-dependent partial point charges for each subunit of the nanostructure, and the spatio-temporal electric field distribution is evaluated by means of classical electrodynamics methods. The time-dependent partial charges are determined based on the stationary partial and transition charges obtained in the framework of the TDDFT. In order to treat large plasmonic nanostructures constructed of many constituents, the approximate self-consistent iterative approach presented in (Lisinetskaya and Mitric in Phys Rev B 89:035433, 2014) is modified to include the transition-charge-based interaction. The developed methods are used to study the optical response and exciton dynamics of Ag-3(+) and porphyrin-Ag-4 dimers. Subsequently, the spatio-temporal electric field distribution in a ring constructed of ten porphyrin-Ag-4 subunits under the action of circularly polarized laser pulse is simulated. The presented methodology provides a theoretical basis for the investigation of coupled light-exciton propagation in nanoarchitectures built from molecular size metal nanoclusters in which quantum confinement effects are important.
We present a joint theoretical and experimental study of excited state dynamics in pure and hydrated anionic gold clusters Au\(^-_3\)[H\(_2\)O]\(_n\) (n = 0-2). We employ mixed quantum-classical dynamics combined with femtosecond time-resolved photoelectron spectroscopy in order to investigate the influence of hydration on excited state lifetimes and photo-dissociation dynamics. A gradual decrease of the excited state lifetime with the number of adsorbed water molecules as well as gold cluster fragmentation quenching by two or more water molecules are observed both in experiment and in simulations. Non-radiative relaxation and dissociation in excited states are found to be responsible for the excited state population depletion. Time constants of these two processes strongly depend on the number of water molecules leading to the possibility to modulate excited state dynamics and fragmentation of the anionic cluster by adsorption of water molecules.
We have investigated the photodynamics of \(\beta\)-D-glucose employing our field-induced surface hopping method (FISH), which allows us to simulate the coupled electron-nuclear dynamics, including explicitly nonadiabatic effects and light-induced excitation. Our results reveal that from the initially populated S\(_{1}\) and S\(_{2}\) states, glucose returns nonradiatively to the ground state within about 200 fs. This takes place mainly via conical intersections (CIs) whose geometries
in most cases involve the elongation of a single O-H bond, while in some instances ring-opening due to dissociation of a C-O bond is observed. Experimentally, excitation to a distinct excited electronic state is improbable due to the presence of a dense manifold of states bearing similar oscillator strengths. Our FISH simulations explicitly including a UV laser pulse of 6.43 eV photon energy reveals that after initial excitation the population is almost equally spread over several close-lying electronic states. This is followed by a fast nonradiative decay on the time scale of 100-200 fs, with the final return to the ground state proceeding via the S\(_{1}\) state through the same types of CIs as observed in the field-free simulations.
We introduce a general theoretical approach for the simulation of photochemical dynamics under the influence of circularly polarized light to explore the possibility of generating enantiomeric enrichment through polarized-light-selective photochemistry. The method is applied to the simulation of the photolysis of alanine, a prototype chiral amino acid. We show that a systematic enantiomeric enrichment can be obtained depending on the helicity of the circularly polarized light that induces the excited-state photochemistry of alanine. By analyzing the patterns of the photoinduced fragmentation of alanine we find an inducible enantiomeric enrichment up to 1.7%, which is also in good correspondence to the experimental findings. Our method is generally applicable to complex systems and might serve to systematically explore the photochemical origin of homochirality.
Coherent Multidimensional Spectroscopy in Molecular Beams and Liquids Using Incoherent Observables
(2018)
The aim of the present work was to implement an experimental approach that enables coherent two-dimensional (2D) electronic spectroscopy of samples in various states of matter. For samples in the liquid phase, a setup was realized that utilizes the sample fluorescence for the acquisition of 2D spectra. Whereas the liquid-phase approach has been established before, coherent 2D spectroscopy on gaseous samples in a molecular beam as developed in this work is in fact a new method. It employs for the first time cations in a time-of-flight mass spectrometer for signal detection and was used to obtain the first ion-selective 2D spectra of a molecular-beam sample. Additionally, a new acquisition concept was developed in this thesis that significantly decreases measurement times in 2D spectroscopy using optimized sparse sampling and a compressed-sensing reconstruction algorithm.
Characteristic for the variant of 2D spectroscopy presented in this work is the usage of a phase-coherent sequence of four laser pulses in a fully collinear geometry for sample excitation. The pulse sequence was generated by a custom-designed pulse shaper that is capable of rapid scanning by changing the pulse parameters such as time delays and phases with the repetition rate of the laser. The sample's response was detected by monitoring incoherent observables that arise from the final-state population, for instance fluorescence or cations. Phase cycling, i.e., signal acquisition with different combinations of the relative phases of the excitation pulses, was applied to extract nonlinear signal contributions from the full signal during data analysis.
Liquid-phase 2D fluorescence spectroscopy was established with the laser dye cresyl violet as a sample molecule, confirming coherent oscillations previously observed in literature that are originating from vibronic coherences in specific regions of the 2D spectrum.
The data set of this experiment was used subsequently to introduce optimized sparse sampling in 2D spectroscopy. An optimization algorithm was implemented in order to find the best sampling pattern while taking only one quarter of the regular time-domain sampling points, thereby reducing the acquisition time by a factor of four. Signal recovery was based on a new and compact representation of 2D spectra using the von Neumann basis, which required about six times less coefficients than the Fourier basis to retain the relevant information. Successful reconstruction was shown by recovering the coherent oscillations in cresyl violet from a reduced data set.
Finally, molecular-beam coherent 2D spectroscopy was introduced with an investigation of ionization pathways in highly-excited nitrogen dioxide, revealing transitions to discrete auto-ionizing states as the dominant contribution to the ion signal. Furthermore, the advantage of the time-of-flight approach to obtain reactant and product 2D spectra simultaneously enabled the observation of distinct differences in the multiphoton-ionization response functions of the nitrogen dioxide cation and the nitrogen oxide ionic fragment.
The developed experimental techniques of this work will facilitate fast acquisition of 2D spectra for samples in various states of matter and permit reliable direct comparison of results. Therefore, they pave the way to study the properties of quantum coherences during photophysical processes or photochemical reactions in different environments.
Describing the light-to-energy conversion in OSCs requires a multiscale understanding of the involved optoelectronic processes, i.e., an understanding from the molecular, intermolecular, and aggregate perspective. This thesis presents such a multiscale description to provide insight into the processes in the vicinity of the organic::organic interface, which are crucial for the overall performance of OSCs. Light absorption, exciton diffusion, photoinduced charge transfer at the donor-acceptor interface, and charge separation are included. In order to establish structure-property relationships, a variety of different molecular p-type semiconductors are combined at the organic donor-acceptor heterojunction with fullerene C60, one of the most common acceptors in OSCs. Starting with a comprehensive analysis of the accuracy of diverse ab initio, DFT, and semiempiric methods for the properties of the individual molecules, the intermolecular, and aggregate/device stage are subsequently addressed. At all stages, both methodological concepts and physical aspects in OSCs are discussed to extend the microscopic understanding of the charge generation processes.
Theory predicts peculiar features for excited-state dynamics in one dimension (1D) that are difficult to be observed experimentally. Single-walled carbon nanotubes (SWNTs) are an excellent approximation to 1D quantum confinement, due to their very high aspect ratio and low density of defects. Here we use ultrafast optical spectroscopy to probe photogenerated charge-carriers in (6,5) semiconducting SWNTs. We identify the transient energy shift of the highly polarizable S\(_{33}\) transition as a sensitive fingerprint of charge-carriers in SWNTs. By measuring the coherent phonon amplitude profile we obtain a precise estimate of the Stark-shift and discuss the binding energy of the S\(_{33}\) excitonic transition. From this, we infer that charge-carriers are formed instantaneously (<50 fs) even upon pumping the first exciton, S\(_{11}\). The decay of the photogenerated charge-carrier population is well described by a model for geminate recombination in 1D.
In this thesis the excited-state dynamics of radicals and biradicals were characterized with femtosecond pump-probe spectroscopy.
These open-shell molecules play important roles as combustion intermediates, in the formation of soot and polycyclic aromatic hydrocarbons, in atmospheric chemistry and in the formation of complex molecules in the interstellar medium and galactic clouds. In these processes molecules frequently occur in some excited state, excited either by thermal energy or radiation. Knowledge of the reactivity and dynamics of these excited states completes our understanding of these complex processes.
These highly reactive molecules were produced via pyrolysis from suitable precursors and examined in a molecular beam under collision-free conditions. A first laser now excites the molecule, and a second laser ionizes it. Time-of-flight mass spectrometry allowed a first identification of the molecule, photoelectron spectroscopy a complete characterization of the molecule - under the condition that the mass spectrum was dominated by only one mass. The photoelectron spectrum was obtained via velocity-map imaging, providing an insight in the electronic states involved. Ion velocity map imaging allowed separation of signal from direct ionization of the radical in the molecular beam and dissociative photoionization of the precursor. During this thesis a modified pBasex algorithm was developed and implemented in python, providing an image inversion tool without interpolation of data points. Especially for noisy photoelectron images this new algorithm delivers better results.
Some highlighted results:
• The 2-methylallyl radical was excited in the ππ*-state with different internal energies using three different pump wavelengths (240.6 , 238.0 and 236.0 nm). Ionized with 800 nm multi-photon probe, the photoelectron spectra shows a s-Rydberg fingerprint spectrum, a highly positive photoelectron anisotropy of 1.5 and a bi-exponential decay ( τ1= 141\pm43 fs, τ2= 4.0\pm0.2 ps for 240.6 nm pump), where the second time-constant shortens for lower wavelengths. Field-induced surface hopping dynamics calculations confirm that the initially excited ππ*-state relaxes very fast to an s-Rydberg state (first experimentally observed time-constant), and then more slowly to the first excited state/ground state (second time-constant). With higher excitation energies the conical intersection between the s-Rydberg-state and the first excited state is reached faster, resulting in shorter life-times.
• The benzyl radical was excited yith 265 nm and probed with two wavelengths, 798 nm and 398 nm. Probed with 798 nm it shows a bi-exponential decay (\tau_{1}=84\pm5 fs, \tau_{2}=1.55\pm0.12 ps), whereas with 398 nm probe only the first time-constant is observed (\tau_{1}=89\pm5 fs). The photoelectron spectra with 798 nm probe is comparable to the spectrum with 398 nm probe during the first 60 fs, at longer times an additional band appears. This band is due to a [1+3']-process, whereas with 398 nm only signal from a [1+1']-process can be observed. Non-adiabatic dynamic on the fly calculations show that the initially excited, nearly degenerate ππ/p-Rydberg-states relax very fast (first time-constant) to an s-Rydberg state. This s-Rydberg state can no longer be ionized with 398 nm, but with 798 nm ionization via intermediate resonances is still possible. The s-Rydberg state then decays to the first excited state (second time-constant), which is long-lived.
• Para-xylylene, excited with 266 nm into the S2-state and probed with 800 nm, shows a bi-exponential decay (\tau_{1}=38\pm7 fs, \tau_{2}=407\pm9 fs). The initially excited S2-state decays quickly to S1-state, which shows dissociative photoionization. The population of the S1-state is directly visible in the masses of the dissociative photoionization products, benzene and the para-xylylene -H.
• Ortho-benzyne, produced via pyrolysis from benzocyclobutendione, was excited with 266 nm in the S2 state and probed with 800 nm. In its time-resolved mass spectra the dynamic of the ortho-benzyne signal was superposed with the dynamics from dissociative photoionization of the precursor and of the ortho-benzyne-dimer. With time-resolved ion imaging gated on the ortho-benzyne these processes could be seperated, showing that the S2-state of ortho-benzyne relaxes within 50 fs to the S1-state.
Investigation of Nanostructure-Induced Localized Light Phenomena Using Ultrafast Laser Spectroscopy
(2017)
In recent years, the interaction of light with subwavelength structures, i.e., structures that are smaller than the optical wavelength, became more and more interesting to scientific research, since it provides the opportunity to manipulate light-induced dynamics below the optical diffraction limit. Specifically designed nanomaterials can be utilized to tailor the temporal evolution of electromagnetic fields at the nanoscale. For the investigation of strongly localized processes, it is essential to resolve both their spatial and their temporal behavior. The aim of this thesis was to study and/or control the temporal evolution of three nanostructure-induced localized light phenomena by using ultrafast laser spectroscopy with high spatial resolution.
In Chapter 4, the absorption of near-infrared light in thin-film a-Si:H solar cells was investigated. Using nanotextured instead of smooth interfaces for such devices leads to an increase of absorption from < 20% to more than 50% in the near-infrared regime. Time-resolved experiments with femtosecond laser pulses were performed to clarify the reason for this enhancement. The coherent backscattered radiation from nanotextured solar cell devices was measured as a function of the sample position and evaluated via spectral interferometry. Spatially varying resonance peaks in the recorded spectra indicated the formation of localized photonic modes within the nanotextured absorber layers. In order to identify the modes separately from each other, coherent two-dimensional (2D) nanoscopy was utilized, providing a high spatial resolution < 40 nm. In a nanoscopy measurement on a modified device with an exposed nanotextured a-Si:H absorber layer, hot-spot electron emission was observed and confirmed the presence of localized modes. Fitting the local 2D nanospectra at the hot-spot positions enabled the determination of the resonance frequencies and coherence lifetimes of the modes. The obtained lifetime values varied between 50 fs and 130 fs. Using a thermionic emission model allowed the calculation of the locally absorbed energy density and, with this, an estimation of the localization length of the photonic modes (≈1 μm). The localization could be classified by means of the estimated localization length and additional data evaluation of the backscattered spectra as strong localization ─ the so-called Anderson localization.
Based on the experimental results, it was concluded that the enhanced absorption of near-infrared light in thin-film silicon solar cells with nanotextured interfaces is caused by the formation of strongly localized photonic modes within the disordered absorber layers. The incoming near-infrared light is trapped in these long-living modes until absorption occurs.
In Chapter 5, a novel hybridized plasmonic device was introduced and investigated in both theory and experiment. It consists of two widely separated whispering gallery mode (WGM) nanoantennas located in an elliptical plasmonic cavity. The goal was to realize a periodic long-range energy transfer between the nanoantennas. In finite-difference time-domain (FDTD) simulations, the device was first optimized with respect to strong coupling between the localized antenna modes and the spatially-extended cavity mode. The geometrical parameters of the antennas and the cavity were adjusted separately so that the m="0" antenna mode and the cavity mode were resonant at λ="800 nm" . A high spatial overlap of the modes was achieved by positioning the two antennas in the focal spots of the cavity, leading to a distance between the antenna centers of more than twice the resonant wavelength of the modes. The spectral response of the optimized device revealed an energy splitting of the antenna and the cavity mode into three separated hybridized eigenmodes within an energy range of about 90 meV due to strong coupling. It could be well reproduced by a simple model of three coupled Lorentzian oscillators. In the time domain, an oscillatory energy transfer between both antennas with a period of 86 fs and an energy transfer efficiency of about 7% was observed for single-pulse excitation. For the experiments, devices with cavities and antennas of varying size were fabricated by means of focused-ion-beam (FIB) milling. Time-resolved correlation measurements were performed with high spatial and temporal resolution by using sequences of two femtosecond laser pulses for excitation and photoemission electron microscopy (PEEM) for detection. Local correlation traces at antennas in resonant devices, i.e., devices with enhanced electron emission at both antenna positions, were investigated and reconstructed by means of the coupled-oscillator model. The corresponding spectral response revealed separated peaks, confirming the formation of hybridized eigenmodes due to strong coupling. In a subsequent simulation for single-pulse excitation, one back-and-forth energy transfer between both antennas with an energy transfer efficiency of about 10% was observed.
Based on the theoretical and experimental results, it was demonstrated that in the presented plasmonic device a periodic long-range energy transfer between the two nanoantennas is possible. Furthermore, the coupled-oscillator model enables one to study in depth how specific device properties impact the temporal electric-field dynamics within the device. This can be exploited to further optimize energy transfer efficiency of the device. Future applications are envisioned in ultrafast plasmonic nanocircuitry. Moreover, the presented device can be employed to realize efficient SPP-mediated strong coupling between widely separated quantum emitters.
In Chapter 6, it was investigated in theory how the local optical chirality enhancement in the near field of plasmonic nanostructures can be optimized by tuning the far-field polarization of the incident light. An analytic expression was derived that enables the calculation of the optimal far-field polarizations, i.e., the two far-field polarizations which lead to the highest positive and negative local optical chirality, for any given nanostructure geometry. The two optimal far-field polarizations depend on the local optical response of the respective nanostructure and thus are functions of both the frequency ω and the position r. Their ellipticities differ only in their sign, i.e., in their direction of rotation in the time domain, and the angle between their orientations, i.e., the angle between the principal axes of their ellipses, is ±π/"2" . The handedness of optimal local optical chirality can be switched by switching between the optimal far-field polarizations. In numerical simulations, it was exemplarily shown for two specific nanostructure assemblies that the optimal local optical chirality can significantly exceed the optical chirality values of circularly polarized light in free space ─ the highest possible values in free space. The corresponding optimal far-field polarizations were different from linear and circular and varied with frequency. Using femtosecond polarization pulse shaping provides the opportunity to coherently control local optical chirality over a continuous frequency range. Furthermore, symmetry properties of nanostructures can be exploited to determine which far-field polarization is optimal.
The theoretical findings can have impact on future experimental studies about local optical chirality enhancement. Tuning the far-field polarization of the incident light offers a promising tool to enhance chirally specific interactions of local electromagnetic fields with molecular and other quantum systems in the vicinity of plasmonic nanostructures. The presented approach can be utilized for applications in chiral sensing of adsorbed molecules, time-resolved chirality-sensitive spectroscopy, and chiral quantum control.
In conclusion, each of the localized light phenomena that were investigated in this thesis ─ the enhanced local absorption of near-infrared light due to the formation of localized photonic modes, the periodic long-range energy transfer between two nanoantennas within an elliptical plasmonic cavity, and the optimization of local optical chirality enhancement by tuning the far-field polarization of the incident light ─ can open up new perspectives for a variety of future applications.
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Two thematic complexes were addressed within this work. One part is related to improvements and new implementations into the CAST program package. Thereby the main focus laid on the delivery of a tool which can be used to characterize complex reactions and their mechanisms. But also within the new force field (FF) method (SAPT-FF) within the CAST program, several improvements were made. The second topic is related to the description of dye molecules and their spectral properties. The main focus within these studies was set on the influence of the environment on these properties. In the first topic improvements of the local acting NEB (nudged elastic band) methods were included and the number of available methods was extended. The initial pathway generation was improved by implementing the IDPP (image dependent pair potential) method and a new method was implemented for describing temperature dependent pathways. Additionally, improvements have been made to the optimization routines (global NEB). As a second part the Pathopt (PO) method was considerably improved. In the beginning of the work the original PO idea was used. In this approach one starts with a global optimization on one n-1 dimensional hyperplane which divides the reaction into two sub-areas for obtaining guesses of TSs (transition states). These found TS guesses were used to optimize to the ”true” TS. Starting from the optimized ones a relaxation to the next connected minima is done. This idea has been automatically implemented and extended to several number of hyperplanes. In this manner a group of pathsegments is obtained which needs to be connected, but within this work it was realized that such a procedure might be not very efficient. Therefore, a new strategy was implemented which is founded on the same constrained global optimization scheme (MCM) for which the user defines the number of hyperplanes generated. The number of such generated hyperplanes should be large enough
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to describe the space between the concerning reactants in a sufficient way. The found minima are directly used to built up the reaction pathway. For this purpose a RMSD (root mean square deviation) criterion is used to walk along ways of minimal change from one to another hyperplane. To prove the implementations various test calculations were carried out and extensions included to prove the capabilities of the new strategy. Related to these tests a new strategy for applying the move steps in MCM (Monte Carlo with minimization) was realized which is also related to the question of the coordinates representation. We were able to show that the hopping steps in MCM can be improved by applying Cartesian steps in combination of random dihedral moves with respect to the constraint. In this way it was possible to show that a large variety of systems can be treated. An additional chapter shows the improvements of the SAPT-FF implementation and related test cases. It was possible to treat benzene dimer and cluster systems of different sizes consistently also in accordance with high level ab initio based approaches. Furthermore, we showed that the SAPT-FF with the right parameters outperforms the standard AMOEBA implementation which is the basis of the SAPT-FF implementation. In the last three chapters deal with the description of perlyene-based dyes. In the first smaller chapter ground state chemistry description of macro cycles of PBI (perylene bisimide) derivatives were investigated. Therefore, AFM (atomic force microscopy) based pictures were explained within our study. The methods to explain aggregation behavior in dependency of the ring size were MD simulations and configuration studies. The last two chapters deal with opto-electronic or photo-physical properties of PBI and PTCDA (perylene-3,4,9,10-tetracarboxylic dianhydride). In detail, we investigated the role of the environment and the aggregate or crystal surrounding by applying different models. In that way implicit and explicit solvation models, the size of aggregates and vibration motions were used. In the case of PBI the recent work is found on preliminary studies related to my bachelor thesis and extends it. It was shown that the direct influence of a polarizable surrounding, as well as explicit inclusion of solvent molecules on the overall description of the excitations and nature of the excited states is weaker as one might expect. However the inclusion of intra-molecular degrees of freedom showed a stronger influence on the state characteristics and can induce a change of the order of states within the dimer picture. For the PTCDA molecule the main focus was set on the description of the absorption spectrum of crystalline thin films. Related to this older works exist which already gave a description and assignment of the absorption band, but are based on different approaches compared to the one used in this work. We used the supermolecule ansatz, whereas the environment and different aggregate sizes were investigated. Within the dimer based approach we were able to show that using continuum solvation (IEFPCM/COSMO) based description for the environment the relative order of states remains unchanged. Similar to the PBI calculations the influence of the vibrational motions /distortions is larger. The simulation of the crystal environment by using QM/MM (quantum mechanics/molecular mechanics) approaches delivered that an asymmetric charge distribution might induce a localization of the excitation and a stronger mixing of states. For obtaining further insights we go beyond the dimer picture and aggregates of different sizes were used, whereas the simulations up to the octadecamer mono- and even dual-layer stack were carried out. Within these calculations it was shown that the H-coupling is dominating over a weaker J-coupling between different stacks. Additionally the calculations based on DFT (density functional theory) and semi-empirics showed that the lowest state in terms of energy are mostly of Frenkel type, whereas the higher lying states are CT ones which mix with embedded Frenkel type states. The first band of the absorption spectrum was explained by inclusion of vibrational motions within the stacks which induce an intensity gain of the first excited state. This intensity was not explainable by using the undistorted stacks. Also relaxations at the crystal surface might play a role, but are experimentally not explainable.
The controlled shaping of ultrashort laser pulses is a powerful technology and applied in many laser laboratories today. Most of the used pulse shapers are only able to produce linearly polarized pulses shaped in amplitude and phase. Some devices are also capable of producing limited time-varying polarization profiles, but they are not able to control the amplitude. However, for some state-of-the-art non-linear time-resolved methods, such as polarization-enhanced two-dimensional spectroscopy, the possibility of controlling the amplitude and the polarization simultaneously is desirable.
Over the last years, different concepts have been developed to overcome these restrictions and to manipulate the complete vector-field of an ultrashort laser pulse with independent control over all four degrees of freedom - phase, amplitude, orientation, and ellipticity. The aim of this work was to build such a vector-field shaper. While the basic concept used for our setup is based on previous designs reported in the literature, the goal was to develop an optimized optical design that minimizes artifacts, allowing for the generation of predefined polarization pulse sequences with the highest achievable accuracy.
In Chapter 3, different approaches reported in the literature for extended and unrestricted vector-field control were examined and compared in detail. Based on this analysis, we decided to follow the approach of modulating the spectral phase and amplitude of two perpendicularly polarized pulses independently from each other in two arms of an interferometer and recombining them to a single laser pulse to gain control over the complete vector field.
As described in Chapter 4, the setup consists of three functional groups: i) an optical component to generate and recombine the two polarized beams, ii) a 4f setup, and iii) a refracting telescope to direct the two beams under two different angles of incidence onto the grating of the 4f setup in a common-path geometry. This geometry was chosen to overcome potential phase instabilities of an interferometric vector-field shaper. Manipulating the two perpendicularly polarized pulses simultaneously within one 4f setup and using adjacent pixel groups of the same liquid-crystal spatial light modulator (LC SLM) for the two polarizations has the advantages that only a single dual-layer LC SLM is required and that a robust and compact setup was achieved. The shaping capabilities of the presented design were optimized by finding the best parameters for the setup through numerical calculations to adjust the frequency distributions for a broad spectrum of 740 – 880 nm. Instead of using a Wollaston prism as in previous designs, a thin-film polarizer (TFP) is utilized to generate and recombine the two orthogonally polarized beams. Artifacts such as angular dispersion and phase distortions along the beam profile which arise when a Wollaston prism is used were discussed. Furthermore, it was shown by ray-tracing simulations that in combination with a telescope and the 4f setup, a significant deformation of the beam profile would be present when using a Wollaston prism since a separation of the incoming and outgoing beam in height is needed. The ray-tracing simulations also showed that most optical aberrations of the setup are canceled out when the incoming and outgoing beams propagate in the exact same plane by inverting the beam paths. This was realized by employing a TFP in the so-called crossed-polarizer arrangement which has also the advantage that the polarization-dependent efficiencies of the TFP and the other optics are automatically compensated and that a high extinction ratio in the order of 15000:1 is reached. Chromatic aberrations are, however, not compensated by the crossed-polarizer arrangement. The ray-tracing simulations confirmed that these chromatic aberrations are mainly caused by the telescope and not by the cylindrical lens of the 4f setup. Nevertheless, in the experimentally used wavelength range of 780 – 816 nm, only minor distortions of the beam profile were observed, which were thus considered to be negligible in the presented setup.
The software implementation of the pulse shaper was reviewed in Chapter 5 of this thesis. In order to perform various experiments, five different parameterizations, accounting for the extended shaping capabilities of a vector-field shaper, were developed. The Pixel Basis, the Spectral Basis, and the Spectral Taylor Basis can generally be used in combination with an optimization algorithm and are therefore well suited for quantum control experiments. For multidimensional spectroscopy, the Polarized Four-Pulse Basis was established. With this parameterization pulse sequences with up to four subpulses can be created. The polarization state of each subpulse can be specified and the relative intensity, phase, and temporal delay between consecutive subpulses can be controlled. In addition, different software programs were introduced in Chapter 5 which are required to perform the experiments conducted in this work.
The experimental results were presented in Chapter 6. The frequency distribution across the LC SLM was measured proving that the optimal frequency distribution was realized experimentally. Furthermore, the excellent performance of the TFP was verified. In general, satellite pulses are emitted from the TFP due to multiple internal reflections. Various measurements demonstrated that these pulses are temporally separated by at least 4.05 ps from the main pulse and that they have vanishing intensity. The phase stability between the two arms of the presented common-path setup σ = 28.3 mrad (λ/222) over 60 minutes. To further improve this stability over very long measurement times, an on-the-fly phase reduction and stabilization (OPRAS) routine utilizing the pulse shaper itself was developed. This routine automatically produces a compressed pulse with a minimized relative phase between the two polarization components. A phase stability of σ = 31.9 mrad (λ/197) over nearly 24 hours was measured by employing OPRAS. Various pulse sequences exceeding the capabilities of conventional pulse shapers were generated and characterized. The experimental results proved that shaped pulses with arbitrary phase, amplitude, and polarization states can be created. In all cases very high agreement between the target parameters and the experimental data was achieved.
For the future use of the setup also possible modifications were suggested. These are not strictly required, but all of them could further improve the performance and flexibility of the setup. Firstly, it was illustrated how a “dual-output” of the setup can be realized. With this modification it would be possible to use the main intensity of the shaped pulse for an experiment while using a small fraction to characterize the pulse or to perform OPRAS simultaneously. Secondly, the basic idea of replacing the telescope by focusing mirrors in order to eliminate the chromatic aberrations was presented. Regarding the different parameterizations for vector-field shaping, some modifications increasing the flexibility of the implemented bases and the realization of a von Neumann Basis for the presented setup were proposed. In future experiments, the vector-field shaper will be used in conjunction with a photoemission electron microscope (PEEM). This approach combines the temporal resolution provided by ultrashort laser pulses with the high spatial resolution gained by electron microscopy in order to perform two-dimensional spectroscopy and coherent control on nanostructures with polarization-shaped femtosecond laser pulses. In combination with other chiral-sensitive experimental setups implemented earlier in our group, the vector-field shaper opens up new perspectives for chiral femtochemistry and chiral control.
The designed vector-field shaper meets all requirements to generate high-precision polarization-shaped multipulse sequences. These can be used to perform numerous polarization-sensitive experiments. Employing the OPRAS routine, a quasi-infinitely long phase stability is achieved and complex and elaborated long-term measurements can be carried out. The fact that OPRAS demands no additional hardware and that only a single dual-layer LC SLM and inexpensive optics are required allows the building of a vector-field shaper at comparatively low costs. We hope that with the detailed insights into the optical design process as well as into the software implementation given in this thesis, vector-field shaping will become a standard technique just as conventional pulse shaping in the upcoming years.
Time-resolved spectroscopy allows for analyzing light-induced energy conversion and
chromophore–chromophore interactions in molecular systems, which is a prerequisite in
the design of new materials and for improving the efficiency of opto-electronic devices.
To elucidate photo-induced dynamics of complex molecular systems, transient absorption
(TA) and coherent two-dimensional (2D) spectroscopy were employed and combined
with additional experimental techniques, theoretical approaches, and simulation models
in this work.
A systematic series of merocyanines, synthetically varied in the number of chromophores
and subsitution pattern, attached to a benzene unit was investigated in cooperation with
the group of Prof. Dr. Frank Würthner at the University of Würzburg. The global analysis
of several TA experiments, and additional coherent 2D spectroscopy experiments, provided
the basis to elaborate a relaxation scheme which was applicable for all merocyanine
systems under investigation. This relaxation scheme is based on a double minimum on the
excited-state potential energy surface. One of these minima is assigned to an intramolecular
charge-transfer state which is stabilized in the bis- and tris-chromophoric dyes by
chromphore–chromophore interactions, resulting in an increase in excited-state lifetime.
Electro-optical absorption and density functional theory (DFT) calculations revealed a
preferential chromophore orientation which compensates most of the dipole moment of
the individual chromophores. Based on this structural assignment the conformationdependent
exciton energy splitting was calculated. The linear absorption spectra of the
multi-chromophoric merocyanines could be described by a combination of monomeric and
excitonic spectra.
Subsequently, a structurally complex polymeric squaraine dye was studied in collaboration
with the research groups of Prof. Dr. Christoph Lambert and Prof. Dr. Roland Mitric
at the University of Würzburg. This polymer consists of a superposition of zigzag and
helix structures depending on the solvent. High-level DFT calculations confirmed the previous
assignment that zigzag and helix structures can be treated as J- and H-aggregates,
respectively. TA experiments revealed that in dependence on the solvent as well as the
excitation energy, ultrafast energy transfer within the squaraine polymer proceeds from
initially excited helix segments to zigzag segments or vice versa. Additionally, 2D spectroscopy
confirmed the observed sub-picosecond dynamics. In contrast to other conjugated
polymers such as MEH-PPV, which is investigated in the last chapter, ultrafast
energy transfer in squaraine polymers is based on the matching of the density of states
between donor and acceptor segments due to the small reorganization energy in cyanine-like
chromophores.
Finally, the photo-induced dynamics of the aggregated phase of the conjugated polymer
MEH-PPV was investigated in cooperation with the group of Prof. Dr. Anna Köhler at the University of Bayreuth. Our collaborators had previously described the aggregation of MEH-PPV upon cooling by the formation of so-called HJ-aggregates based on exciton
theory. By TA measurements and by making use of an affiliated band analysis distinct
relaxation processes in the excited state and to the ground state were discriminated. By
employing 2D spectroscopy the energy transfer between different conjugated segments
within the aggregated polymer was resolved. The initial exciton relaxation within the
aggregated phase indicates a low exciton mobility, in contrast to the subsequent energy
transfer between different chromophores within several picoseconds.
This work contributes by its systematic study of structure-dependent relaxation dynamics
to the basic understanding of the structure-function relationship within complex
molecular systems. The investigated molecular classes display a high potential to increase
efficiencies of opto-electronic devices, e.g., organic solar cells, by the selective choice of
the molecular morphology.
We present a fast and sensitive polarimeter combining common-path optical heterodyne interferometry and accumulative spectroscopy to detect rotatory power. The sensitivity of rotatory detection is determined to be 0.10 milli-degrees for a measurement time of only one second and an interaction length of 250 µm. Its suitability for femtosecond studies is demonstrated in a non-resonant two-photon photodissociation experiment.