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In this thesis, the influence of an environment on molecules and, in particular, on the quantum control of such systems is investigated. Different approaches to describe system-bath dynamics are implemented and applied. The inclusion of a dissipation term in the system Hamiltonian leads to energy loss and relaxation to the ground state. As a first application, the isomerisation reaction in an aromatic complex is treated. It is shown that this simple model is able to reproduce results of time-resolved spectroscopic measurements. Next, the influence of noise is investigated. The incorporation of fluctuations reveals that energy is not conserved and coherences are destroyed. As an example, the quantum control of a population transfer in Na2 is examined. The efficiency of control processes is studied in dependence on the strength of the noise and different system-bath couplings. Starting with the unperturbed system, Local Control Theory is applied to construct a field which selectively transfers population into a single excited electronic state. The coupling to the bath is then switched on to monitor the dependence of the coupling strength on the transfer efficiency. The perturbation of the bath effects the Na2 molecule in such a way that potential energy curves and transition dipole moments are distorted. An important result is that already elastic collisions lead to a substantial loss of control efficiency. The most promising approach used in this thesis is the stochastic Schrödinger equation. It is equivalent to the commonly employed descriptions of system-bath dynamics within the reduced density matrix formalism. It includes decoherences and dissipation caused by elastic and inelastic collisions. Our contribution is the incorporation of laser excitation into the kinetic Monte-Carlo scheme. Thus we are able to apply this stochastic approach to the quantum control of population transfer in the sodium dimer. Because within our description it is possible to separate pure dephasing, inelastic transitions, and coherent time-evolution, we can identify the relative influence of these processes on the control efficiency. This leads to a far more physical picture of the basic processes underlying the perturbations of an environment then what a reduced density matrix description can provide. In utilising the stochastic wave function approach instead of the density matrix formalism, the computations are quite efficient. The stochastic Schrödinger equation is realised by N independent runs, where, in our case, an ensemble size of N = 1000 gives converged results. The efficiency of the laser control process is studied as a function of temperature and collision rates. A rise in temperature (or collision rate) reeffects a stronger fluctuation and thus results in a less efficient transfer by the control field. Though the Gaussian fluctuations used here do not strictly represent 'white'- noise, since a deterministic machine is not able to produce uncorrelated random numbers, an acceptable distribution is achieved by simple procedures. An improvement of the here applied algorithms would, for instance, include a more sophisticated sampling of the dephasing rates. Only one example of a control process is studied here and an application of the developed approach to other problems of quantum control is to be performed. This thesis established a systematic approach to understand quantum control in the presence of an environment.
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 the context of this dissertation very long ranged exciton diffusion lengths (LD) were simulated for perylene-based materials under ideal conditions. This leads to the conclusion that the short LD values in existing materials result from an extrinsic and intrinsic immobilization. The latter, which is a specific material property, is based on a relaxation of the exciton into self-trapping states. An in-depth understanding of the atomistic processes defining self-trapping is essential to developing materials with long LD in the future, in which intrinsic immobilization is prevented. For the development of such a mechanistic understanding it is crucial that a clear relationship between molecular structure and LD is available. This is given by single crystals of diindeno perylene (DIP) and α-perylene tetracarboxylic anhydride (α-PTCDA). An extraordinary large LD of 90 nm was measured for the first one, while the latter possesses only 22 nm. Part of this thesis was to deliver reasons for this discrepancy. Only self-trapping comes into question to explain the different LD values. One reason for the different self-trapping in DIP and α-PTCDA could lie in the electronic structure. However, it was possible to demonstrate that a wide range of perylene-based materials possess no significant differences in their electronic structures. Consequently, such differences can be neglected for the explanation of immobilization mechanisms for the exciton. A further possible explanation could be polarization effects in the crystal, which influences the electronic structure of perylene based materials differently. Especially their influence on charge transfer (CT) states, which are located above the optically bright Frenkel state, was in question because such states could be stabilized by a polarizable surrounding. A significant influence of polarization effects on all considered states were excluded by using a polarizable continuum model. Hence, the small LD values in α-PTCDA are an evidence for self-trapping, which produces a crystal structure built up by π-stacks, while the one of DIP is of herringbone type. Since polarization effects can be neglected, is the dimer only via steric restrictions influenced by the crystal. Hence, a method describing self-trapping has to consider such effects, so that a mechanical embedding QM/MM approach is sufficient. Now, potential energy surfaces were calculated, on which wave packet dynamics were subsequently performed. In this way, atomistic mechanisms for the immobilization of excitons were described for the first time in organic materials. Self-trapping was studied in crystals of α-PTCDA by potential energy surfaces, which map an intermolecular shift motion of the dimer in the crystal. An immobilization of excitons occurs within 500 fs, which results from an irreversible energy loss together with a local deformation of the crystal lattice. This prevents a further transport of the exciton. In the case of DIP, this immobilization does not proceed due to high barriers. These barriers result from the herringbone type packing motif in the DIP crystal. This discrepancy in the dynamics explains the different LD values in DIP and α-PTCDA. In a further example, an exciton immobilization was found in helical π-aggregates of perylene tetracarboxylic bisimide (PBI) molecules. Self-trapping is caused by a relaxation mechanism, in which the exciton is transferred by asymmetric vibrations of the aggregate from the bright to a dark Frenkel state within 200 fs, whereby the transition is mediated by a CT state. However, the CT state is almost non-populated during the whole mechanism so that its participation could not yet be proven experimentally. This entire procedure is solely possible in helical aggregates, because only for such structures is there a CT state located next to the bright Frenkel state. At the final Frenkel state a torsional motion around the π-stacking axis is possible so that the loss in energy and the local rearrangement of the aggregate structure occurs, which means a self-trapping of the exciton. This mechanism is in perfect agreement with all available experimental data. These insights allow the conclusion that in future materials for organic solar cells an irreversible and ultrafast deformation of aggregates after photo-absorption must be avoided. Only in this way long LD values can be achieved and exciton self-trapping can be prevented. However, small LD values are always predicted in helical aggregates of perylene-based materials, because exciton immobilization occurs already due to small molecular motions. For this reason such aggregates are inappropriate for the use in organic solar cells. Long LD values are expected for aggregate structures with long intermolecular shifts or molecules with bulky substituents.
Pulse-Sequence Approaches for Multidimensional Electronic Spectroscopy of Ultrafast Photochemistry
(2014)
Observing chemical reactions in real time with femtosecond laser pulses has evolved into a very popular field of research since it provides fascinating insights into the nature of photochemical transformations. Nevertheless, many photochemical reactions are still too complex for which reason the underlying mechanisms and all engaged species cannot be identified thoroughly. In these cases, conventional time-resolved spectroscopy techniques reach their technical limits and advanced approaches are required to follow the conversion of reactants to their products including all reaction intermediates.
The aim of this work was therefore the development of novel methods for ultrafast spectroscopy of photoreactive systems. Though the concept of coherent multidimensional spectroscopy has so far exclusively been used to explore photophysical phenomena, it also offers great potential for the study of photochemical processes due to its capability of extracting spectroscopic information along several frequency dimensions. This allows resolving the photochemical connectivity between various interconvertible molecular species with ultrafast temporal resolution on the basis of their absorption and emission properties as the spectral correlations are explicitly visualized in the detected spectra.
The ring-open merocyanine form of the photochromic compound 6-nitro BIPS was studied in Chap. 4 of this work. Merocyanines and their associated ring-closed spiropyrans are promising candidates for future applications as, for instance, molecular electronics or optical data storage due to their unique property of being switchable between two stable congurations via light illumination. Transient absorption with sub-50 fs temporal resolution and broadband probing was employed to characterize the photodynamics of this system with variable excitation wavelengths. Using global data analysis, it could be inferred that two different merocyanine isomers with differing excited-state lifetimes exist in solution. These isomers differ in the cis/trans conguration in the last bond of the methine bridge. The minority of isomers exist in the all-trans conguration (TTT) while the isomer with a cis conguration of the third dihedral angle (TTC) is dominant. A characteristic band, detected after long pump-probe delays, was attributed to the unidirectional cis->trans photoisomerization reaction of the TTC to the TTT form. The quantum yield of the reaction was estimated to be (18+-4) %. In addition, pronounced coherent vibrational wave-packet oscillations were observed and it was concluded that these signatures are related to the product formation.
Coherent two-dimensional electronic spectroscopy was successfully implemented using a partially collinear pump-probe beam geometry in combination with a femtosecond pulse shaper. The use of a whitelight probe continuum enabled us to probe contributions far-off the diagonal over the complete visible range. By properly adjusting the relative phase between the first two laser pulses with the pulse shaper, the principle of phase-cycling was explained and it was demonstrated that the measurement can be carried out in the so-called "rotating frame" in which the observed frequencies detected during the coherence time are shifted to lower values. It was shown that these concepts allow the extraction of the desired background-free photon echo while the amount of necessary data points is highly reduced.
In order to put our proposal of multidimensional spectroscopy of photoreactive systems into practice, third-order two- and three-dimensional spectroscopy was then employed for an in-depth analysis of a photoreactive process, in which the photoisomerization of 6-nitro BIPS served as a model system. The measured two-dimensional spectra revealed the cis->trans photoisomerization after long population times. By collecting a large data set of two-dimensional spectra for short population times and by applying a Fourier transform along the population time axis, the third-order three-dimensional spectrum was obtained. The novelty of this approach compared to coherent two-dimensional spectroscopy is the introduction of a third axis associated with the vibrational frequencies of the molecular system. In this way, the formation of the reaction product was evidenced and it was shown that the product is formed in its first excited singlet state within 200 fs after excitation. This method hence visualizes the photochemical connections between different reactive molecular species in an intuitive manner and further exposes the normal modes connecting reactant and product. Such conclusions cannot be drawn with conventional third-order techniques such as transient absorption since they are
not capable of capturing the full third-order response, but only a subset of it. The reaction mechanism and the role of the observed vibrational modes were uncovered by comparing the experimental data with the results of high-level quantum-chemical calculations performed by our collaborators in the group of Prof. B. Engels from the
theoretical chemistry department at the University of Würzburg. Specific calculated molecular normal modes could be assigned to the experimentally observed vibrational frequencies and potential energy surfaces of the electronic ground state and of the first excited state were computed. The technique implemented in this chapter is general and is applicable for the time-resolved analysis of a wide range of chemical reaction networks.
In the first part of Chap. 5, coherent two-dimensional spectroscopy was employed to track the reaction paths of the related 6,8-dinitro BIPS after S1 excitation. Several differences to the photochemical properties of 6-nitro BIPS were found. From the 2D spectra, the cis-trans isomerization between the two merocyanine isomers could be excluded as a major reaction path for this compound. To explore the dynamics after reexcitation to higher-lying electronic states, pump-repump-probe spectroscopy was implemented and the formation of a new species, a radical cation, was observed. To identify the precursor isomer, triggered-exchange two-dimensional spectroscopy, a fifth-order technique previously only available in the infrared regime for vibrational transitions, was implemented for the first time for electronic excitations in the visible. This approach combines the properties of the pump-repump-probe technique with the potential of coherent two-dimensional spectroscopy. It correlates the absorption frequency of a reactive molecular species with the emission signatures of the product formed from this species after an additional absorption of a photon. Using this method, it was unambiguously proven that only the TTC isomer reacts to the radical cation thus forming the precursor species of the reaction. Electronic triggered-exchange two-dimensional spectroscopy is hence another improved technology for time-resolved spectroscopy with applications in the study of multistep photoreactions and higher-lying electronic states. While in the two preceding chapters third- and fifth-order experiments were discussed that neglect the vectorial character of light-matter interactions, Chap. 6 focused on a novel theoretical formalism enabling the description of light fields optimized for polarization-sensitive higher-order nonlinearities. This formalism is based on the von Neumann time-frequency representation of shaped femtosecond laser pulses which permits the definition of multipulse sequences on a discrete time-frequency lattice. Hence, not only the temporal spacing between subpulses is adjustable, but also the center frequencies may be adapted such that they fit the experimental requirements. This method was generalized to the description of pulse sequences with time-varying polarization states. It was shown that by using this description, the polarization ellipticity, orientation angle, relative phase and intensity, and the time-frequency location of each subpulse is explicitly controllable. The accuracy of the transformations from Fourier space to von Neumann domain and vice versa was demonstrated. Moreover, a strict accordance between the von Neumann polarization parameters with the conventional parameters in time domain was found for well separated subpulses. A potential future application of this approach is polarization-sensitive multidimensional spectroscopy in which hidden cross peaks may be isolated by defining the pulses in the von Neumann picture with suitable polarization sequences. This method could also be used in quantum control experiments in which the polarization of the light field is used as a major control knob.
This thesis summarizes our efforts to open the field of femtochemistry to the concept of coherent multidimensional electronic spectroscopy. Making use of femtosecond pulse shaping, sub-50 fs temporal resolution, broadband spectral probing, higher-order nonlinearities, and new types of laser pulse descriptions, the presented methods might stimulate further future advancements in this research area.
As organic semiconductors gain more importance for application, research into their properties has become necessary. This work investigated the exciton and charge transport properties of organic semiconducting crystals. Based on a hopping approach, protocols have been developed for the calculation of Charge mobilities and singlet exciton diffusion coefficients. The protocols do not require any input from experimental data except for the x-ray crystal structure, since all needed quantities can be taken from high-level quantum chemical calculations. Hence, they allow to predict the transport properties of yet unknown compounds for given packings, which is important for a rational design of new materials. Different thermally activated hopping models based on time-dependent perturbation theory were studied for the charge and exciton transport; i. e. the spectral overlap approach, the Marcus theory, and the Levich-Jortner theory. Their derivations were presented coherently in order to emphasize the different levels of approximations and their respective prerequisites. A short reference was made to the empirical Miller-Abrahams hopping rate. Rate equation approaches to calculate the stationary charge carrier mobilities and exciton diffusion coefficients have been developed, which are based on the master equation. The rate equation approach is faster and more efficient than the frequently used Monte Carlo method and, therefore, provides the possibility to study the anisotropy of the transport parameters and their three-dimensional representation in the crystal. The Marcus theory, originally derived for outer sphere electron transfer in solvents, had already been well established for charge transport in organic solids. It was shown that this theory fits even better for excitons than for charges compared with the experiment. The Levich-Jortner theory strongly overestimates the charge carrier mobilities and the results deviate even stronger from the experiment than those obtained with the Marcus theory. The latter contains larger approximations by treating all vibrational modes classically. The spectral overlap approach in combination with the developed rate equations leads to even quantitatively very good results for exciton diffusion lengths compared to experiment. This approach and the appendant rate equations have also been adapted to charge transport. The Einstein relation, which relates the diffusion coefficient with the mobility, is important for the rate equations, which have been developed here for transport in organic crystals. It has been argued that this relation does not hold in disordered organic materials. This was analyzed within the Framework of the Gaussian disorder model and the Miller-Abrahams hopping rate.
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 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 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.
We present polarimetry, i.e. the detection of optical rotation of light polarization, in a configuration suitable for femtosecond spectroscopy. The polarimeter is based on common-path optical heterodyne interferometry and provides fast and highly sensitive detection of rotatory power. Femtosecond pump and polarimeter probe beams are integrated into a recently developed accumulative technique that further enhances sensitivity with respect to single-pulse methods. The high speed of the polarimeter affords optical rotation detection during the pump-pulse illumination period of a few seconds. We illustrate the concept on the photodissociation of the enantiomers of methyl p-tolyl sulfoxide. The sensitivity of rotatory detection, i.e. the minimum rotation angle that can be measured, is determined experimentally including all noise sources to be 0.10 milli-degrees for a measurement time of only one second and an interaction length of 250 μm. The suitability of the presented setup for femtosecond studies is demonstrated in a non-resonant two-photon photodissociation experiment.
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)
The photoionization of several nitrogen-containing reactive intermediates relevant in combustion processes was investigated in the gas phase employing VUV synchrotron radiation. The intermediates were either freshly prepared and stored under cryogenic temperatures during the experiment or generated in situ by vacuum flash pyrolysis of suitable precursor molecules. The iPEPICO (imaging photoelectron photoion coincidence) setups of the VUV beamlines at the Swiss Light Source and Synchrotron SOLEIL were then used to record mass-selected threshold photoelectron (TPE) spectra. TPE spectra reveal the ionization energy and vibrational structure in the cationic states can often be resolved, which enables to distinguish different isomers. Accurate ionization energies for the radicals carbonyl amidogen, pyrrolyl, and 3-picolyl, and for the closed shell molecules isocyanic acid and cyanovinylacetylene were obtained. The analysis of the dissociative photoionization of the pyrolysis precursors enables in some cases to retrieve thermochemical data. Beyond, the absolute photoionization cross section of the cyclic carbene cyclopropenylidene was determined, NEXAFS and normal Auger spectra of isocyanic acid were recorded and analyzed at the O1s, N1s, and C1s edges, and the dissociative photoionization and pyrolysis of 1,4-di-tert-butyl-1,4-azaborinine was studied.
The studies presented in this thesis deal with resonant and non-resonant excitation of free variable size clusters using synchrotron radiation in the soft X-ray regime. The post collision interaction (PCI) effect is investigated in free variable size krypton and argon clusters near the Kr 3d and Ar 2p ionization energies. The core ionization energies of surface and bulk sites in variable size clusters can be clearly distinguished. This is mostly due to the polarization screening. It is found that the asymmetry, which is a consequence of PCI, is characteristically smaller for clusters than for isolated atoms. Moreover, there is less asymmetry for bulk sites than for surface sites in variable size rare gas clusters. We assign the results in terms of mechanisms that are based on quantum mechanical models of post collision interaction. Complementary experiments on the photoionization of free van der Waals clusters are performed by using zero kinetic energy (ZEKE) photoelectron spectroscopy in the Ar 2p-, Kr 3d-, Ne 1s-, and N2-regimes. The experimental approach is also suitable to detect cluster size dependent changes in electronic structure. This also allows us to study post collision interaction in variable size clusters. The parameters of the PCI profiles deduced for ZEKE experiments indicate that there are no significant changes in core ionization dynamics compared to near-threshold experiments. Results from model calculations in Kr 3d ionization energy indicate that different geometric sites can be clearly distinguished from each other by their substantial shift in Kr 3d ionization energy, though the dimer shows almost the same Kr 3d ionization energy as the free atom. A comparison with the experimental results indicates that there is resemblance with the model calculations, even though close-lying ionization energies are blended and require deconvolutions of the experimental spectra. It is evident from the present work that one can observe distinct shifts in core ionization energies in van der Waals clusters that are formed in wide size distributions of a jet expansion. The emission of ultraviolet fluorescence radiation from variable size argon clusters is investigated with high spectral resolution in the Ar 2p-excitation regime. The fluorescence excitation spectra reveal strong fluorescence intensity in the Ar 2p-continuum, but no evidence for the occurrence of discrete low-lying core-exciton states in the near-edge regime. This finding is different from the absorption and photoionization cross sections of argon clusters and the solid. The dispersed fluorescence shows a broad molecular band centered near 280 nm. The present results are consistent with the formation of singly charged, excited moieties within the clusters, which are assigned as sources of the radiative relaxation in the 280 nm regime. A fast energy transfer process (interatomic Coulombic decay, ICD) is assigned to be primarily the origin of these singly charged, excited cations besides intra-cluster electron impact ionization by Auger electrons. Our findings give possibly the first experimental evidence for ICD in the core level regime. Free, variable size nitrogen clusters are investigated in the N 1s excitation regime in comparison with the free molecule and solid nitrogen. The conversion of Rydberg states into core excitons, surface and bulk, was studied. The experimental results are simulated by ab initio calculations using (N2)13 as a reasonable prototype cluster structure that allows us to simulate both surface and bulk properties in comparison with the isolated molecule. The present results clearly show that there are specific properties, such as molecular orientation, in molecular van der Waals clusters, which do not exist in atomic van der Waals clusters. It is shown that inner and outer surface sites give rise to distinct energy shifts of the low lying surface core excitons.
We present a study on the photoionisation of the cycloheptatrienyl (tropyl) radical, \(C_7H_7\), using tunable vacuum ultraviolet synchrotron radiation. Tropyl is generated by flash pyrolysis from bitropyl. Ions and electrons are detected in coincidence, permitting us to record mass-selected photoelectron spectra. The threshold photoelectron spectrum of tropyl, corresponding to the
\(X^{+1}A1’ ← X^2E_2”\) transition, reveals an ionisation energy of 6.23 ± 0.02 eV, in good agreement with Rydberg extrapolations, but slightly lower than the value derived from earlier photoelectron spectra. Several vibrations can be resolved and are reassigned to the C–C stretch mode \(ν_{16}^+\) and to a combination of \(ν_{16}^+\) with the ring breathing mode \(ν_2^+\). Above 10.55 eV dissociative photoionisation of tropyl is observed, leading to the formation of \(C_5H_5^+\) and \(C_2H_2\).
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.
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.
Optimal open-loop control, i.e. the application of an analytically derived control rule, is demonstrated for nanooptical excitations using polarization-shaped laser pulses. Optimal spatial near-field localization in gold nanoprisms and excitation switching is realized by applying a shift to the relative phase of the two polarization components. The achieved near-field switching confirms theoretical predictions, proves the applicability of predefined control rules in nanooptical light–matter interaction and reveals local mode interference to be an important control mechanism.
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.
The present work presents investigations on energy and charge transport properties in organic crystals. Chapter 4 treats exciton transport in anthracene, which is an example for weakly coupled π-systems. The electronic coupling parameter is evaluated by the monomer transition density approach. With these and the reorganization energy hopping rates are calculated in the framework of the Marcus theory. Together with the knowledge of the crystal structure, these allow us to calculate the experimental accessible exciton diffusion lengths, whose isotropic part fits nicely within the scattering of experimental values found in the literature. Furthermore, the anisotropy of the exciton diffusion lengths is reproduced qualitatively and quantitatively correct. This chapter also contains studies about electron and hole transport in both polymorphs (α and β) of perylene. Reorganization energies as well as diffusion coefficients for both crystal structures and types of charge transport were calculated. The best transport is hole transport in β-perylene, but it is strongly isotropic. The preferred transport direction is along the b-axis of the unit cell with couplings of greater than 100 meV. However, there is no transport along the c-axis. The diffusion constant in b-direction is bigger by two orders of magnitude than in c-direction (62.7•10-6 m2/s vs. 0.4•10-6 m2/s). Charge transport is calculated to be strongly anisotropic for holes as well as electrons in both modifications. To verify these results experimental electron mobilities have been compared to the simulations. Good agreement was found with errors of less than 27%. As it was shown above, the calculation and measurement of transport properties between weakly coupled systems is possible. However, it is difficult to exactly determine the quality of the electronic coupling. For this reason a collaboration about strongly interacting π-systems was started between us and the research group of Prof. Ingo Fischer. There, [2.2]paracyclophanes and its derivates were investigated to show how hydroxyl substitution influences absorption properties. Overall, a combination of SCS-MP2 and SCS-CC2 performs best to address the description of geometric and electronic structures for both ground and excited states of these model systems as well as their parent compounds benzene and phenol. Only [2.2]paracyclophane shows a double minimum potential regarding a twist and shift motion between the benzene/phenol subunits towards each other. All other systems are less flexible due to their substitution pattern. Almost all [2.2]paracyclophanes display minor changes in their geometric structure upon excitation to the S1 state: The inter-ring distance shortens, but qualitatively they keep their shift and twist characteristics, although the extent of these deformations diminishes. The exception is p-DHPC, which turns from a shifted ground state structure into a twisted excited state structure. Consequently, the intensity of the 0-0 transition cannot be observed experimentally due to small Franck-Condon factors and impurities of o-DHPC. In the present thesis, the structures and their changes due to excitation are explained by electrostatic potentials as well as antibonding (bonding) HOMO (LUMO) orbitals. Adiabatic excitation energies have been corrected by ZPEs and result in accuracies with errors smaller than 0.1 eV. Note that corrections on the B3LYP level worsen the results and one has to apply SCS-CC2 to achieve this accuracy. These calculations allow an interpretation of the experimental [1+1]REMPI spectra. Band progressions of the twist, shift and breathing of the [2.2]paracyclophane skeleton vibrations have been identified and show good agreement to the experiment. This work shows that the substitution pattern in [2.2]paracyclophanes can have a significant impact on spectroscopic properties. Because these properties are directly linked to the transport properties of these materials, the hereby gained insight can be used to design materials with customized transport properties. It was shown that the SCS-CC2 method is very appropriate to predict the interaction between the π-systems
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.
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 visualization of energy functions is based on the possibility of separating different degrees of freedom. The most important one is the Born-Oppenheimer-approximation, which separates nucleus and electron movements. This allows the illustration of the potential energy as a function of the nuclei coordinates. Minima of the surface correspond to stable points like isomers or conformers. They are important for predicting the stability or thermodynamical of a system. Stationary points of first order correspond to transition points. They describe phase transitions, chemical reaction, or conformational changes. Furthermore, the partition function connects the potential hypersurface to the free energy of the system. The aim of the present work is the development and application of new approaches for the efficient exploration of multidimensional hypersurfaces. Initially, the Conformational Analysis and Search Tool (CAST) program was developed to create a basis for the new methods and algorithms. The development of CAST in object oriented C++ included, among other things, the implementation of a force field, different interfaces to external programs, analysis tools, and optimization libraries. Descriptions of an energy landscape require knowledge about the most stable minima. The Gradient Only Tabu Search (GOTS) has been shown to be very efficient in the optimization of mathematical test functions. Therefore, GOTS was taken as a starting point. Tabu-Search is based on the steepest descent - modest ascent strategy. The steepest descent is used for finding local minima, while the modest ascent is taken for leaving a minimum quickly. Furthermore, Tabu-Search is combined with an adaptive memory design to avoid cycling or returning. The highly accurate exploration of the phase space by Tabu-Search is often too expensive for complex optimization problems. Therefore, an algorithm for diversification of the search is required. After exploration of the proximity of the search space, the algorithm would guide the search to new and hopefully promising parts of the phase space. First application of GOTS to conformational search revealed weaknesses in the diversification search and the modest ascent part. On the one hand, the original methodology for diversification is insufficiently diverse. The algorithm is considerably improved by combining the more local GOTS with the wider searching Basin Hopping (BH) approach. The second weak point is a too inaccurate and inefficient modest ascent strategy. Analysis of common transition state search algorithms lead to the adaption of the Dimer-method to the Tabu-Search approach. The Dimer-method only requires the first derivatives for locating the closest transition state. For conformational search, dihedral angles are usually the most flexible degrees of freedom. Therefore, only those are used in the Dimer-method for leaving a local minimum. Furthermore, the exact localization of the reaction pathway and the transition state is not necessary as the local minimum position should only be departed as fast as possible. This allows for larger step sizes during the Dimer-search. In the following optimization step, all coordinates are relaxed to remove possible strains in the system. The new Tabu-Search method with Dimer-search delivers more and improved minima. Furthermore, the approach is faster for larger systems. For a system with approximately 1200 atoms, an acceleration of 40 was measured. The new approach was compared to Molecular Dynamics with optimization (MD), Simulated Annealing (SA), and BH with the help of conformational search problems of bio-organic systems. In all cases, a better performance was found. A comparison to the Monte Carlo Multiple Minima/Low Mode Sampling (MCMM/LM) method proved the outstanding performance of the new Tabu-Search approach. The solvation of the chignolin protein further revealed the possibility of uncovering discrepancies between the employed theoretical model and the experimental starting structure. Ligand optimization for improvement of x-ray structures was one further new application field. Besides the global optimization, the search for transition states and reaction pathways is also of paramount importance. These points describe different transitions of stable states. Therefore, a new approach for the exploration of such cases was developed. The new approach is based on a global minimization of a hyperplane being perpendicular to the reaction coordinate. Minima of this reduced phase space belong to traces of transition states between reactant and product states on the unchanged hypersurface. Optimization to the closest transition state using the Dimer-method delivers paths lying between the initial and the final state. An iterative approach finally yields complex reaction pathways with many intermediate local minima. The PathOpt algorithm was tested by means of rearrangements of argon clusters showing very promising results.
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
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.
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.
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.
Time-resolved spectroscopic studies of energy transfer between molecules in solution form a basis for both, our understanding of fundamental natural processes like photosynthesis as well as directed synthetic approaches to optimize organic opto-electronic devices. Here, coherent two-dimensional (2D) spectroscopy opens up new possibilities, as it reveals the correlation between absorption and emission frequency and hence the full cause-and-effect chain. In this thesis two optical setups were developed and implemented, permitting the recording of electronic 2D spectra in the visible and in the hitherto unexplored ultraviolet spectral range. Both designs rely on the exclusive manipulation of beam pairs, which reduces the signal modulation to the difference between the transition frequency of the system and the laser frequency. Thus - as has been shown experimentally and theoretically - the timing precision as well as mechanical stability requirements are greatly reduced, from fractions of the oscillation period of the exciting light wave to fractions of the pulse duration. Two-dimensional spectroscopy and femtosecond transient absorption (TA) as well as different theoretical approaches and simulation models were then applied to coupled multichromophore systems of increasing complexity. Perylene bisimide-perylene monoimide dyads were investigated in cooperation with Prof. Dr. Frank Würthner and Prof. Dr. Bernd Engels at the University of Würzburg. In these simplest systems studied, global analysis of six different TA experiments unequivocally revealed an ultrafast interchromophoric energy transfer in the 100 fs range. Comparison between the obtained transfer rates and the predictions of Förster theory suggest a breakdown of this point-transition-dipole-based picture at the donor-acceptor distances realized in our compounds. Furthermore, a model including conformational changes and an interchromophoric charge transfer has been derived to consistently describe the observed pico- to nanosecond dynamics and fluorescence quantum yields. A second collaboration with Prof. Dr. Gregory Scholes (University of Toronto, Canada) and Prof. Dr. Paul Burn (University of Queensland, Australia) addressed the photophysics of a series of uorene-carbazole dendrimers. Here, a combination of 2D-UV spectroscopy and femtosecond ansiotropy decay experiments revealed the initial delocalization of the excited state wave function that saturates with the second generation. In room temperature solution, disorder-induced localization takes place on the time scales comparable to our instrument response, i.e. 100 fs, followed by energy transfer via incoherent hopping processes. Lastly, in tubular zinc chlorin aggregates, semi-synthetic analogues of natural lightharvesting antennae that had again been synthesized in the group of Prof. Dr. Frank Würthner, the interchromophoric coupling is so strong that coherently coupled domains prevail even at room temperature. From an analysis of intensity-dependent TA measurements the dimensions of these domains, the exciton delocalization length, could be determined to span 5-20 monomers. In addition, 2D spectra uncovered efficient energy transfer between neighboring domains, i.e. ultrafast exciton diffusion.
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.
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.
The SARS virus is the etiological agent of the severe acute respiratory syndrome, a deadly disease that caused more than 700 causalities in 2003. One of its viral proteins, the SARS coronavirus main protease, is considered as a potential drug target and represents an important model system for other coronaviruses. Despite extensive knowledge about this enzyme, it still lacks an effective anti-viral drug. Furthermore, it possesses some unusual features related to its active-site region. This work gives atomistic insights into the SARS coronavirus main protease and tries to reveal mechanistic aspects that control catalysis and inhibition. Thereby, it applies state-of-the-art computational methods to develop models for this enzyme that are capable to reproduce and interpreting the experimental observations. The theoretical investigations are elaborated over four main fields that assess the accuracy of the used methods, and employ them to understand the function of the active-site region, the inhibition mechanism, and the ligand binding. The testing of different quantum chemical methods reveals that their performance depends partly on the employed model. This can be a gas phase description, a continuum solvent model, or a hybrid QM/MM approach. The latter represents the preferred method for the atomistic modeling of biochemical reactions. A benchmarking uncovers some serious problems for semi-empirical methods when applied in proton transfer reactions. To understand substrate cleavage and inhibition of SARS coronavirus main protease, proton transfer reactions between the Cys/His catalytic dyad are calculated. Results show that the switching between neutral and zwitterionic state plays a central role for both mechanisms. It is demonstrated that this electrostatic trigger is remarkably influenced by substrate binding. Whereas the occupation of the active-site by the substrate leads to a fostered zwitterion formation, the inhibitor binding does not mimic this effect for the employed example. The underlying reason is related to the coverage of the active-site by the ligand, which gives new implications for rational improvements of inhibitors. More detailed insights into reversible and irreversible inhibition are derived from in silico screenings for the class of Michael acceptors that follow a conjugated addition reaction. From the comparison of several substitution patterns it becomes obvious that different inhibitor warheads follow different mechanisms. Nevertheless, the initial formation of a zwitterionic catalytic dyad is found as a common precondition for all inhibition reactions. Finally, non-covalent inhibitor binding is investigated for the case of SARS coranavirus main protease in complex with the inhibitor TS174. A novel workflow is developed that includes an interplay between theory and experiment in terms of molecular dynamic simulation, tabu search, and X-ray structure refinement. The results show that inhibitor binding is possible for multiple poses and stereoisomers of TS174.
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.
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.
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.
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.
The present work consist of two major parts. The first part, extending over chapters 1, 2, 3 and 4, addresses the design and construction of a device capable of determining the shell thickness and the core size for monolayer spherical particles in a flow. The second part containing chapters 5, 6, 7, 8, 9 and 10, concentrate on the use of Raman spectroscopy as a space application, namely for use as a tool for in situ planetary investigations. This part directly addresses the MIRAS project, a study run under the auspices of Federal Ministry of Education and Research, BMBF and German Aerospace Center, DLR under national registration number 50OW0103. MIRAS stands for "Mineral Investigation by in situ Raman Spectroscopy". Microcapsule Sizing by Elastic Light Scattering The industrial development of processes based on microcapsules depends on the possibility to provide clear and complete information about the properties of these microcapsules. However, the tools for an easy and efficient determination of the microcapsule properties are lacking, several methods being often required to describe adequately the microcapsule behavior. Methods for evaluating the individual size and size distribution of both the core and the shell are required together with methods for measuring the mechanical strength, stability in appli-cation media, permeability of the shell, etc. Elastic light scattering measurements provide a possible way of determining properties such as core size, shell size and refractive index. The design and con-struction of a device capable of measuring the above mentioned parameters for a core-shell particle is the subject of the first part of this thesis. The basic principle of measurement for the device proposed here consists of an-alyzing one particle at a time by recording the elastic light scattering pattern at angles between approx. 60 and 120 grad. By comparing the experimentally recorded phase functions with the previously calculated phase functions stored in a database, the geometry of the scattering object can be identified. In our case the geometry is characterized by two parameters: the shell thickness and the core radius. In chapter 2 a short overview on the methods used for sizing microparticles is given. Different sizing methods are compared, and the advantages and disadvan-tages for the general problem of sizing are shortly discussed. It is observed that all sizing methods that are based on elastic light scattering theories are ensemble methods. Chapter 3 focusses on the theories used for calculating the theoretical scattering patterns with emphasize on the Mie theory. The generalization of Mie theory for layered particles is shortly presented and the far field intensity approximations are discussed. The last chapter (4) of this first part describes the experimental approach for building an automatic microcapsule sizer. The approach started by O. Sbanski [76] with the development of a software packet for calculating and storing theoret-ical phase functions for core-shell particles was continued with the designing and construction of a measuring device. The hardware construction and the software with all implemented corrections imposed by the individual setup components are described in detail. For the laser, the monochromaticity, the intensity profile of the beam as well as the planarity of the equi-phase fronts are taken into consid-eration. The flow cell with three different designs is described, and the influences of the employed design on the light scattering patterns are discussed together with the optical system used for recording the experimental phase functions. The detection system formed by two identical linear CCD arrays is presented together with the software approach used for data acquisition. Ways of improving the quality and the speed of the analyzing process are discussed. The final section presents measurements run on samples made of homogeneous spheres and also on samples containing industrial microcapsules. Mineral Investigation by in situ Raman Spectroscopy The envisaged future planetary missions require space-born instruments, which are highly miniaturized with respect to volume and mass and which have low needs of power. A micro Raman spectrometer as a stand alone device on a planetary surface (e.g. Mars) offers a wide spectrum of possibilities. It can assess the chemical analysis via determination of the mineral composition, detect organic molecules in the soil, identify the principal mineral phases, etc. The technical developments in the last years have introduced a new generation of small Raman systems suitable for robotic mineral characterization on planetary surfaces [20, 95]. Two different types of spectrometer were considered for the MIRAS study. As supporting laboratory experiments for the MIRAS study, the measure-ments on standard minerals and on SNC Mars meteorites are discussed in chapter 6. The following SNC meteorites have been investigated: Sayh al Uhaymir 060, Dar al Gani 735, Dar al Gani 476, Northwest Africa 856, Los Angeles, Northwest Africa 1068 and Zagami. Pyrite as a hitherto undescribed phase in the picritic (olivin-phyric) shergottite NWA 1068 as well as reduced carbon (e.g. graphite) and anatase in the shergottite Say al Uhaymir 060 are new findings for this class of meteorites. A detailed description of the proposed designs for MIRAS, with the compo-nents used for building the test version on a breadboard is covered in chapter 7. The scientific as well as the mission requirements imposed on the instrument are discussed. The basic design is presented and the main components that are brought together to build the device being the laser unit, the Raman head, the Rayleigh filtering box, and the spectral sensor (spectrometer with a matching de-tector) are described. The two proposed designs, one based on an acousto-optic tunable filter (AOTF) and the other based on a dispersive hadamard transform spectrometer are compared to each other. The actual breadboard setup with the detailed description of the components follows in Section 7.3. Further de-velopment of a Raman spectrometer for planetary investigations is proposed in combination with a microscope as part of the Extended-MIRAS project. The software developed for controlling the breadboard version of MIRAS is described in chapter 8 together with a short description of the structure of a relational database used for in house spectra management. The measuring pro-cedures and the data processing steps are presented. Spectra acquired with the MIRAS breadboard version based on the AOTF are shown in chapter 9. The final chapter addresses a rather different possibility of using Raman spectroscopy for planetary investigations. The chapter summarizes the content of four tech-nical notes that were established within the study contracted by the European Space Agency with firma Kayser-Threde in Munich concerning the possibility of applying Raman spectroscopy in the field of remote imaging.
In this work a new algorithm to determine quantum control fields from the instantaneous response of systems has been developed. The derived fields allow to establish a direct connection between the applied perturbation and the molecular dynamics. The principle is most easily illustrated in regarding a classical forced oscillator. A particle moving inside the respective potential is accelerated if an external field is applied acting in the same direction as its momentum (heating). In contrary, a deceleration is achieved by a field acting in the opposite direction as the momentum (cooling). Furthermore, when the particle reaches a classical turning point and then changes its direction, the sign of the field has to be changed to further drive the system in the desired way. The frequency of the field therefore is in resonance with the oscillator. This intuitively clear picture of a driven classical oscillator can be used for directing (or controlling) quantum mechanical wave packet motion. The efficiency of the instantaneous dynamics algorithm was demonstrated in treating various model problems, the population transfer in double well potentials, excitation and dissociation of selective modes, and the population transfer between electronic states. Although it was not tried to optimize the fields to gain higher yields, the control was found to be very efficient. Driving population transfer in a double well potential could be shown to take place with nearly 100% efficiency. It was shown that selective dissociation within the electronic ground state of HOD can be performed by either maximizing a selected coordinate's differential momentum change or the energy absorption. Concerning the population transfer into excited electronic states, a direct comparison with common control algorithms as optimal control theory and genetic algorithms was accomplished using a one-dimensional representation of methyl iodide. The fields derived from the various control theories were effective in transferring population into the chosen target state but the underlying physical background of the derived optimal fields was not obvious to explain. The instantaneous dynamics algorithm allowed to establish a direct relation between the derived fields and the underlying molecular dynamics. Bound-to-bound transitions could be handled more effectively. This was demonstrated on the sodium dimer in a representation of 3 electronic states being initially in its vibronic ground state. The objective was to transfer population into a predefined excited state. Choosing the first or the second state as a target, the control fields exhibited quite different features. The pulse-structure is related to the excited state wave packet, moving in, and out of the Franck-Condon region. Changing the control objective, the derived control field performed pure electronic transitions on a fast time-scale via a two-step transition. Futhermore, orientational effects have been investigated. The overall-efficiency of the population transfer for differently oriented molecules was about 70 % or more if applying a control field derived for a 45° orientation. Spectroscopic methods to gain information about the outcome of the control process have been investigated. It was shown that pump/probe femtosecond ionization spectroscopy is suited to monitor time-dependent molecular probability distributions. In particular, time-dependent photoelectron spectra are able to monitor the population in the various electronic states. In the last chapter a different possibility of controlling molecules was regarded by investigating molecular iodine with a setup similar to the STIRAP (“Stimulated Raman Adiabatic passage”) scenario. The possibility to extend this technique to a fs-time scale was examined in theory as well as in experiments, the latter being performed by Dr. Torsten Siebert in the Kiefer group, University of Würzburg. It was shown that off-resonant excitation with implementation of the pulses with a higher intensity of the Stokes pulse as compared to the pump pulse - describing a so-called f-STIRAP like configuration - was shown to effectively transfer population into excited ground-state vibrational levels. This was theoretically underlined by comparing the numerically exact coupling case with the adiabatic picture. The process was described to run in the vicinity of adibaticity. A new model explaining the process by the system's vector rotating around the dressed state vector will be adopted in future calculations. Altogether, a new promising algorithm to control dynamical processes based on the instantaneous response has been developed. Because the derived control fields have been shown to be very efficient in selectively influencing molecules, it is to be expected that farther reaching applications can be realized in future investigations.
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.
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 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.
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.
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.
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.
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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Infrared photodissociation spectroscopy of ionic hydrocarbons : microsolvation and protonation sites
(2007)
This work has presented a spectroscopic analysis of three types of hydrocarbon cations: two ionized aromatic hydrocarbons, two protonated aromatic hydrocarbons and the cation of a fundamental radical hydrocarbon. The experiments were centered on the proton stretch vibrations of mass-selected complexes of these systems and polar (H2O) and non polar (Ar, N2, CO2) ligands. The experiments have been done in a tandem mass spectrometer coupled with an electron impact ionization ion source; an OPO laser system was used as tunable IR light source. All the proposed dimer structures have been also modeled using quantum chemical calculations (QCC). These calculations have consistently been matched with the experimental results and have enabled clear identification of the spectral features observed. This has enabled the evaluation of thermochemical properties which could not be extracted directly from experiment. The experiments done on complexes of 1-Np+ and Im+ have allowed for the acidity of their various groups to be probed: the shifts in the frequency as well as the enhancement in the intensity of the OH and NH stretch vibrations resulting from the complexation have yielded dependences on both the species (L) and the number (n) of the ligands. OH bound 1-Np+···Ar has been detected for the first time, showing that the REMPI-IRPD method is severely limited with respect to the production of the most stable isomer of a given cationic complex. The detection of c-1-Np+···(N2)n corresponds to the first observation of c-1-Np+ complexes and enables thus direct comparison of both 1-Np+ rotamers. The shift of the NH vibration of Im+···N2(H) yielded the first experimental estimate for the PA of the imidazyl radical. It was also found that the most stable 1-Np+···Ar and Im+···Ar structures differ qualitatively from that of the corresponding neutral dimers (H-bound vs pi-bound), emphasizing the large impact of ionization on the interaction potential and the preferred recognition motif between acidic aromatic molecules (A) and nonpolar ligands. The IRPD spectra of 1-Np+···Ln and Im+···Ln yielded spectroscopic information about the CH, NH and OH stretch vibrations of bare 1-Np+ and Im+. The dependence of the shifts in the frequency of the OH and NH stretch vibrations allows for creating microsolvation models. The spectroscopic results obtained on size-selected 1-NpH+···Ln show that, in the output of the presently used ion source, three classes of 1-NpH+ isomers can be identified: oxonium ions (1-Np protonated at the O atom); carbenium ions obtained by protonation in the para and ortho positions with respect to the OH functional group; carbenium ions obtained by the addition of a proton to well-defined sites on the second naphthalene ring. The spectral identification of these three classes of protonation sites is supported by their different photofragmentation patterns. It was demonstrated that the spectroscopic monitoring of the microsolvation of ImH+ in Ar and N2 together with the QCCs paint a very detailed picture of the microsolvation process, evidencing clear differences between the microsolvation models as function of the PA of the ligands. Important differences have also been identified between the various binding sites, enabling the creation of a clear scale of priorities for occupation of the binding sites during microsolvation. The application of IRPD to the study of microhydrated ImH+ provided for the first time direct spectroscopic information on the properties of the N-H bonds of this biomolecular building block under controlled microhydration. It was demonstrated that, as protonation enhances the acidity of the NH groups, the ability for proton conductivity of ImH+ increases. A very important result is derived from the IRPD spectroscopy of C2H5+···L (L = Ar, N2, CO2, CH4) dimers. The equilibrium geometry of the C2H5+ has long been debated. Now, IRPD spectra were recorded over the range of the CH stretch fundamentals (covering possible sp3 and sp2 hybridization of C). Depending on the ligand species, the spectra are found to be dominated by the fingerprint of two largely different dimer geometries. Using the experimental C2H5+···Ar spectrum and the corresponding QCCs, the structure of the (weakly perturbed) C2H5+ was found to be the nonclassical one, with one proton straddling across the C=C bond of the H2C=CH2. On the other hand, ligands like N2 and CH4 are strongly influencing the geometry, as seen in the spectral signatures of the C2H5+···N2 and C2H5+···CH4, which correspond to the classical [H2CCH3]+. It was thus demonstrated that while the nonclassical C2H5+ is the global minimum on the PES of the free [C2,H5]+, the structure of the C2H5+ can be strongly influenced by the chemical properties of the environment.
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.
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.
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.
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.
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.
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.