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Chronic pain conditions are a major reason for the utilization of the health care system. Inflammatory pain states can persist facilitated by peripheral sensitization of nociceptors. The voltage-gated sodium channel 1.9 (NaV1.9) is an important regulator of neuronal excitability and is involved in inflammation-induced pain hypersensitivity. Recently, oxidized 1-palmitoyl-2-arachidonoyl-sn-glycerol-3-phosphatidylcholine (OxPAPC) was identified as a mediator of acute inflammatory pain and persistent hyperalgesia, suggesting an involvement in proalgesic cascades and peripheral sensitization. Peripheral sensitization implies an increase in neuronal excitability. This thesis aims to characterize spontaneous calcium activity in neuronal compartments as a proxy to investigate neuronal excitability, making use of the computational tool Neural Activity Cubic (NA3). NA3 allows automated calcium activity event detection of signal-close-to-noise calcium activity and evaluation of neuronal activity states. Additionally, the influence of OxPAPC and NaV1.9 on the excitability of murine dorsal root ganglion (DRG) neurons and the effect of OxPAPC on the response of DRG neurons towards other inflammatory mediators (prostaglandin E2, histamine, and bradykinin) is investigated. Using calcium imaging, the presence of spontaneous calcium activity in murine DRG neurons was established. NA3 was used to quantify this spontaneous calcium activity, which revealed decreased activity counts in axons and somata of NaV1.9 knockout (KO) neurons compared to wildtype (WT). Incubation of WT DRG neurons with OxPAPC before calcium imaging did not show altered activity counts compared to controls. OxPAPC incubation also did not modify the response of DRG neurons treated with inflammatory mediators. However, the variance ratio computed by NA3 conclusively allowed to determine neuronal activity states. In conclusion, my findings indicate an important function of NaV1.9 in determining the neuronal excitability of DRG neurons in resting states. OxPAPC exposition does not influence neuronal excitability nor sensitizes neurons for other inflammatory mediators. This evidence reduces the primary mechanism of OxPAPC-induced hyperalgesia to acute effects. Importantly, it was possible to establish an approach for unbiased excitability quantification of DRG neurons by calcium activity event detection and calcium trace variance analysis by NA3. It was possible to show that signal-close-to-noise calcium activity reflects neuronal excitability states.
There is great interest in affordable, precise and reliable metrology underwater:
Archaeologists want to document artifacts in situ with high detail.
In marine research, biologists require the tools to monitor coral growth and geologists need recordings to model sediment transport.
Furthermore, for offshore construction projects, maintenance and inspection millimeter-accurate measurements of defects and offshore structures are essential.
While the process of digitizing individual objects and complete sites on land is well understood and standard methods, such as Structure from Motion or terrestrial laser scanning, are regularly applied, precise underwater surveying with high resolution is still a complex and difficult task.
Applying optical scanning techniques in water is challenging due to reduced visibility caused by turbidity and light absorption.
However, optical underwater scanners provide significant advantages in terms of achievable resolution and accuracy compared to acoustic systems.
This thesis proposes an underwater laser scanning system and the algorithms for creating dense and accurate 3D scans in water.
It is based on laser triangulation and the main optical components are an underwater camera and a cross-line laser projector.
The prototype is configured with a motorized yaw axis for capturing scans from a tripod.
Alternatively, it is mounted to a moving platform for mobile mapping.
The main focus lies on the refractive calibration of the underwater camera and laser projector, the image processing and 3D reconstruction.
For highest accuracy, the refraction at the individual media interfaces must be taken into account.
This is addressed by an optimization-based calibration framework using a physical-geometric camera model derived from an analytical formulation of a ray-tracing projection model.
In addition to scanning underwater structures, this work presents the 3D acquisition of semi-submerged structures and the correction of refraction effects.
As in-situ calibration in water is complex and time-consuming, the challenge of transferring an in-air scanner calibration to water without re-calibration is investigated, as well as self-calibration techniques for structured light.
The system was successfully deployed in various configurations for both static scanning and mobile mapping.
An evaluation of the calibration and 3D reconstruction using reference objects and a comparison of free-form surfaces in clear water demonstrate the high accuracy potential in the range of one millimeter to less than one centimeter, depending on the measurement distance.
Mobile underwater mapping and motion compensation based on visual-inertial odometry is demonstrated using a new optical underwater scanner based on fringe projection.
Continuous registration of individual scans allows the acquisition of 3D models from an underwater vehicle.
RGB images captured in parallel are used to create 3D point clouds of underwater scenes in full color.
3D maps are useful to the operator during the remote control of underwater vehicles and provide the building blocks to enable offshore inspection and surveying tasks.
The advancing automation of the measurement technology will allow non-experts to use it, significantly reduce acquisition time and increase accuracy, making underwater metrology more cost-effective.
Humans spontaneously blink several times a minute. These blinks are strongly modulated during various cognitive task. However, the precise function of blinking and the reason for their modulation has not been fully understood. In the present work, I investigated the function of spontaneous blinks through various perceptual and cognitive tasks. Previous research has revealed that blinks rates decrease during some tasks but increase during others. When trying to understand these seemingly contradictory results, I observed that blink reduction occurs when one engages with an external input. For instance, a decrease has been observed due to the onset of a stimulus, sensory input processing and attention towards sensory input. However, for activities that do not involve such an engagement, e.g. imagination, daydreaming or creativity, the blink rate has been shown to increase. To follow up on the proposed hypothesis, I distinguished tasks that involve the processing of an external stimulus and tasks that involve disengagement.
In the first part of the project, I explored blinking during stimulus engagement. If the probability of blinking is low when engaging with the stimulus, then one should find a reduction in blinks specifically during the time period of processing but not during sensory input per se. To this end, in study 1, I tested the influence of task-relevant information duration on blink timing and additionally manipulated the overall sensory input using a visual and an auditory temporal simultaneity judgement task. The results showed that blinks were suppressed longer for longer periods of relevant information or in other words, blinks occurred at the end of relevant information processing for both the visual and the auditory modality. Since relevance is mediated through top-down processes, I argue that the reduction in blinks is a top-down driven suppression. In studies 2 and 3, I again investigated stimulus processing, but in this case, processing was triggered internally and not based on specific changes in the external input. To this end, I used bistable stimuli, in which the actual physical stimulus remains constant but their perception switches between different interpretations. Studies on the involvement of attention in such bistable perceptual changes indicate that the sensory input is reprocessed before the perceptual switch. The results revealed a reduction in eye blink rates before the report of perceptual switches. Importantly, I was able to decipher that the decrease was not caused by the perceptual switch or the behavioral response but likely started before the internal switch. Additionally, periods between a blink and a switch were longer than interblink intervals, indicating that blinks were followed by a period of stable percept. To conclude, the first part of the project revealed that there is a top-down driven blink suppression during the processing of an external stimulus.
In the second part of the project, I extended the idea of blinks marking the disengagement from external processing and tested if blinking is associated with better performance during internally directed processes. Specifically, I investigated divergent thinking, an aspect of creativity, and the link between performance and blink rates as well as the effect of motor restriction. While I could show that motor restriction was the main factor influencing divergent thinking, the relationship between eye blink rates and creative output also depended on restriction. Results showed that higher blink rates were associated with better performance during free movement, but only between subjects. In other words, subjects who had overall higher blink rates scored better in the task, but when they were allowed to sit or walk freely. Within a single subject, trial with higher blink rates were not associated with better performance. Therefore, possibly, people who are able to disengage easily, as indicated by an overall high blink rate, perform better in divergent thinking tasks. However, the link between blink rate and internal tasks is not clear at this point. Indeed, a more complex measurement of blink behavior might be necessary to understand the relationship.
In the final part of the project, I aimed to further understand the function of blinks through their neural correlates. I extracted the blink-related neural activity in the primary visual cortex (V1) of existing recordings of three rhesus monkeys during different sensory processing states. I analyzed spike related multi-unit responses, frequency dependent power changes, local field potentials and laminar distribution of activity while the animal watched a movie compared to when it was shown a blank screen. The results showed a difference in blink-related neural activity dependent on the processing state. This difference suggests a state dependent function of blinks.
Taken altogether, the work presented in this thesis suggests that eye blinks have an important function during cognitive and perceptual processes. Blinks seem to facilitate a disengagement from the external world and are therefore suppressed during intended processing of external stimuli.
Ubiquitylation is a protein post translational modification, in which ubiquitin is covalently attached to target protein substrates resulting in diverse cellular outcomes. Besides ubiquitin, various ubiquitin-like proteins including FAT10 exist, which are also conjugated to target proteins. The underlying modification mechanisms are conserved. In the initial step, ubiquitin or a ubiquitin-like protein is thioester-linked to a catalytic cysteine in the E1activating enzyme in an ATP-dependent manner. The respective protein modifier is then transferred to an E2 conjugating enzyme in a transthioesterification reaction. Finally, an E3 ubiquitin ligase E3 catalyzes the covalent attachment of the protein modifier to a substrate. In the case of ubiquitin, multiple ubiquitin molecules can be attached to a substrate in the form of either linear or branched polyubiquitin chains but also as single ubiquitin modifications. Depending on the nature of the ubiquitin chain, the substrates are destined to various cellular processes such as their targeted destruction by the proteasome but also non-degradative outcomes may occur.
As stated above FAT10 is a ubiquitin-like protein modifier which typically targets proteins for proteasomal degradation. It consists of two ubiquitin-like domains and is mainly expressed in cells of the human immune system. The reported involvement of FAT10 modifications in cancers and other diseases has caught the attention of the scientific community as an inhibition of the FAT10ylation process may provide avenues for novel therapeutic approaches. UBA6 is the E1 activating enzyme that resides at the apex of the FAT10 proteasomal degradation pathway. UBA6 not only recognizes FAT10 but can also activate ubiquitin as efficiently as the ubiquitin specific E1 UBA1. The dual specificity of UBA6 may complicate the inhibition FAT10ylation since targeting the active site of UBA6 will also inhibit the UBA6-catalyzed ubiquitin activation. Therefore, it is important to understand the underlying principles for the dual specificity of UBA6 prior to the development of compounds interfering with FAT10ylation.
In this thesis important novel insights into the structure and function of UBA6 were derived by X-ray crystallography and biochemical methods. The first crystal structure of UBA6 reveals the multidomain architecture of this enzyme in atomic detail. The enzyme is composed of a rigid core including its active and inactive adenylation domains as well as a 4 helix bundle. Overall, the molecule adopts a “Y” shape architecture with the core at the base and the first and second catalytic half domains forming one arm of the “Y” and the ubiquitin fold domain constituting the other arm. While UBA6 shares the same domain architecture as UBA1, substantial differences were revealed by the crystal structure. In particular, the first catalytic half domain undergoes a significant shift to a position more distal from the core. This rigid body movement is assumed to generate room to accommodate the second ubiquitin-like domain of FAT10. Differences are also observed in a hydrophobic platform between the core and the first catalytic half domain and the adenylation active site in the core, which together from the binding sites for ubiquitin and FAT10. Site directed mutagenesis of key residues in these areas altered the UBA6-catalyzed activation of ubiquitin and FAT10. UBA6 variants were generated with the goal of trying to block the activation of FAT10 while still maintaining that of ubiquitin activation, in order to fully explain the dual specificity of UBA6. However, none of these mutations could block the activation of FAT10, while some of these UBA6 variants blocked ubiquitin activation. Preliminary inhibition assays with a group of E1 inhibitors belonging to the adenosyl sulfamate family demonstrated potent inhibition of FAT10ylation for two compounds. The dual specificity of UBA6 hence needs to be further examined by biochemical and structural methods. In particular, the structure of a complex between UBA6 and ubiquitin or FAT10 would provide key insights for further biochemical studies, ultimately allowing the targeted inhibition of the FAT10ylation machinery.
Explaining the baryon asymmetry of the Universe has been a long-standing problem of particle physics, with the consensus being that new physics is required as the Standard Model (SM) cannot resolve this issue. Beyond the Standard Model (BSM) scenarios would need to incorporate new sources of \(CP\) violation and either introduce new departures from thermal equilibrium or modify the existing electroweak phase transition. In this thesis, we explore two approaches to baryogenesis, i.e. the generation of this asymmetry.
In the first approach, we study the two-particle irreducible (2PI) formalism as a means to investigate non-equilibrium phenomena. After arriving at the renormalised equations of motions (EOMs) to describe the dynamics of a phase transition, we discuss the techniques required to obtain the various counterterms in an on-shell scheme. To this end, we consider three truncations up to two-loop order of the 2PI effective action: the Hartree approximation, the scalar sunset approximation and the fermionic sunset approximation. We then reconsider the renormalisation procedure in an \(\overline{\text{MS}}\) scheme to evaluate the 2PI effective potential for the aforementioned truncations. In the Hartree and the scalar sunset approximations, we obtain analytic expressions for the various counterterms and subsequently calculate the effective potential by piecing together the finite contributions. For the fermionic sunset approximation, we obtain similar equations for the counterterms in terms of divergent parts of loop integrals. However, these integrals cannot be expressed in an analytic form, making it impossible to evaluate the 2PI effective potential with the fermionic contribution. Our main results are thus related to the renormalisation programme in the 2PI formalism: \( (i) \)the procedure to obtain the renormalised EOMs, now including fermions, which serve as the starting point for the transport equations for electroweak baryogenesis and \( (ii) \) the method to obtain the 2PI effective potential in a transparent manner.
In the second approach, we study baryogenesis via leptogenesis. Here, an asymmetry in the lepton sector is generated, which is then converted into the baryon asymmetry via the sphaleron process in the SM. We proceed to consider an extension of the SM along the lines of a scotogenic framework. The newly introduced particles are charged odd under a \(\mathbb{Z}_2\) symmetry, and masses for the SM neutrinos are generated radiatively. The \(\mathbb{Z}_2\) symmetry results in the lightest BSM particle being stable, allowing for a suitable dark matter (DM) candidate. Furthermore, the newly introduced heavy Majorana fermionic singlets provide the necessary sources of \(CP\) violation through their Yukawa interactions and their out-of-equilibrium decays produce a lepton asymmetry. This model is constrained from a wide range of observables, such as consistency with neutrino oscillation data, limits on branching ratios of charged lepton flavour violating decays, electroweak observables and obtaining the observed DM relic density. We study leptogenesis in this model in light of the results of a Markov chain Monte Carlo scan, implemented in consideration of the aforementioned constraints. Successful leptogenesis in this model, to account for the baryon asymmetry, then severely constrains the available parameter space.
The chirality of the interlocked bay-arylated perylene motif is investigated upon its material prospect and the enhancement of its chiroptical response to the NIR spectral region. A considerable molecular library of inherently chiral perylene bisimides (PBIs) was utilized as acceptors in organic solar cells to provide decent device performances and insights into the structure-property relationship of PBI materials within a polymer blend. For the first time in the family of core-twisted PBIs, the effects of enantiopurity on the device performance was thoroughly investigated. The extraordinary structural sensitivity of CD spectroscopy served as crucial analytical tool to bridge the highly challenging gap between molecular properties and device analytics by proving the excitonic chirality of a helical PBI dimer. The chirality of this perylene motif could be further enhanced on a molecular level by both the expansion and the enhanced twisting of the π-scaffold to achieve a desirable strong chiroptical NIR response introducing a new family of twisted QBI-based nanoribbons. These achievements could be substantially further developed by expanding this molecular concept to a supramolecular level. The geometrically demanding supramolecular arrangement necessary for the efficient excitonic coupling was carefully encoded into the molecular design. Accordingly, the QBIs could form the first J-type aggregate constituting a fourfold-stranded superhelix of a rylene bisimide with strong excitonic chirality. Therefore, this thesis has highlighted the mutual corroboration of experimental and theoretical data from the molecular to the supramolecular level. It has demonstrated that for rylene bisimide dyes, the excitonic contribution to the overall chiroptical response can be designed and rationalized. This can help to pave the way for new organic functional materials to be used for
chiral sensing or chiral organic light-emitting devices.
The fact that photovoltaics is a key technology for climate-neutral energy production can be taken as a given. The question to what extent perovskite will be used for photovoltaic technologies has not yet been fully answered. From a photophysical point of view, however, it has the potential to make a useful contribution to the energy sector. However, it remains to be seen whether perovskite-based modules will be able to compete with established technologies in terms of durability and cost efficiency. The additional aspect of ionic migration poses an additional challenge. In the present work, primarily the interaction between ionic redistribution, capacitive properties and recombination dynamics was investigated. This was done using impedance spectroscopy, OCVD and IV characteristics as well as extensive numerical drift-diffusion simulations. The combination of experimental and numerical methods proved to be very fruitful. A suitable model for the description of solar cells with respect to mobile ions was introduced in chapter 4.4. The formal mathematical description of the model was transferred by a non-dimensionalization and suitable numerically solvable form. The implementation took place in the Julia language. By intelligent use of structural properties of the sparse systems of equations, automatic differentiation and the use of efficient integration methods, the simulation tool is not only remarkably fast in finding the solution, but also scales quasi-linearly with the grid resolution. The software package was released under an open source license. In conventional semiconductor diodes, capacitance measurements are often used to determine the space charge density. In the first experimental chapter 5, it is shown that although this is also possible for the ionic migration present in perovskites, it cannot be directly understood as doping related, since the space charge distribution strongly depends on the preconditions and can be manipulated by an externally applied voltage. The exact form of this behavior depends on the perovskite composition. This shows, among other things, that experimental results can only be interpreted within the framework of conventional semiconductors to a very limited extent. Nevertheless, the built-in 99 potential of the solar cell can be determined if the experiments are carried out properly. A statement concerning the type and charge of the mobile ions is not possible without further effort, while their number can be determined. The simulations were applied to experimental data in chapter 6. Thus, it could be shown that mobile ions make a significant contribution to the OCVD of perovskite solar cells. j-V characteristics and OCVD transients measured as a function of temperature and illumination intensities could be quantitatively modeled simultaneously using a single global set of parameters. By the simulations it was further possible to derive a simple experimental procedure to determine the concentration and the diffusivity of the mobile ions. The possibility of describing different experiments in a uniform temperaturedependent manner strongly supports the model of mobile ions in perovskites. In summary, this work has made an important contribution to the elucidation of ionic contributions to the (photo)electrical properties of perovskite solar cells. Established experimental techniques for conventional semiconductors have been reinterpreted with respect to ionic mass transport and new methods have been proposed to draw conclusions on the properties for ionic transport. As a result, the published simulation tools can be used for a number of further studies.
In this thesis, the usage of onion-like carbon (OLC) for energy storage applications was researched regarding sustainability, performance and processability. This work targets to increase the scientific understanding regarding the role of OLC in electrodes and to facilitate a large-scale production, which is the foundation for commercial application. Research was devoted to increase the knowledge in the particular field, to yield synergistic approaches and a shared value regarding sustainability and performance.
The hunt for topological materials is one of the main topics of recent research in condensed matter physics. We analyze the 4-band Luttinger model, which considers the total angular momentum \(j = 3/2\) hole states of many semiconductors. Our analysis shows that this model hosts a wide array of topological phases and allows analytical calculations of the related topological surface states. The existence of these surface states is highly desired due to their strong protection against perturbations.
In the first part of the thesis, we predict the existence of either one or two two-dimensional (2D) surface states of topological origin in the three-dimensional (3D) quadratic-node semimetal phase of the Luttinger model, called the Luttinger semimetal phase. We associate the origin of these states with the inverted order of s and p-orbital states in the band structure and approximate chiral symmetry around the node. Hence, our findings are essential for many materials, including HgTe, α-Sn, and iridate compounds. Such materials are often modified with strain engineering by growing the crystal on a substrate with a different lattice constant, which adds a deformation potential to the electrons. While tensile strain is often used to drive such materials into a gapped topological insulator regime, we apply compressive strain to induce a topological semimetal regime. Here, we differentiate between Dirac and Weyl semimetals based on inversion and time-reversal symmetry being simultaneously present or not. One major part of this thesis is the theoretical study of the evolution of the Luttinger semimetal surface states in these topological semimetal phases.
The relative strength of the compressive strain and typical bulk inversion asymmetry (BIA) terms allow the definition of a symmetry hierarchy in the system. The cubic symmetric \(O_h\) Luttinger model is the highest symmetry low-energy parent model. Since the BIA terms in the Weyl semimetal phase are small in most materials, we find a narrow energy and momentum range around the Weyl points where the surface states form Fermi arcs between two Weyl nodes with opposite chirality. Consequently, we see 2D momentum planes between the Weyl points, which can be considered as effective 2D Chern insulators with chiral edge states connecting the valence and conduction band in the bulk gap. Exceeding the range of the BIA terms, the compressive strain becomes dominating, and the system behaves like a Dirac semimetal with two doubly degenerate linear Dirac nodes in the band structure. For energies larger than the compressive strain strength, the quadratic terms in the Luttinger model dominate and surface band structure is indistinguishable from an unperturbed Luttinger semimetal. To conclude this symmetry hierarchy, we analyze the limit of the Luttinger model when the remote \(j = 1/2\)
electron states show a considerable hybridization with the \(j = 3/2\) hole states around the Fermi level. Here, the Luttinger model is not valid anymore and one needs to consider more complicated models, like the 6-band Kane Hamiltonian.
In the second part of this thesis, we analyze theoretically two different setups for s-wave superconductivity proximitized \(j = 3/2\) particles in Luttinger materials under a magnetic field. First, we explore a one-dimensional wire setup, where the intrinsic BIA of inversion asymmetric crystals opens a topological gap in the bulk states. In contrast to wires, modeled by a quadratic dispersion with Rashba or Dresselhaus spin-orbit coupling, we find two topological phase transitions due to the different effects of magnetic fields to \(|j_z| = 3/2\) heavy-hole (HH) and \(|j_z| = 1/2\) light-hole (LH) states. Second, we discuss a two-dimensional Josephson junction setup, where we find Andreev-bound states inside the superconducting gap. Here, the intrinsic spin-orbit coupling of the Luttinger model is sufficient to open a topological gap even in the presence of inversion symmetry. This originates from the hybridization of the light and heavy-hole bands in combination with the superconducting pairing.
Consequently, both setups can form Majorana-bound states at the boundaries of the system.
The existence of these states are highly relevant in the scientific community due to their nonabelian braiding statistics and stability against decoherence, making them a prime candidate for the realization of topological quantum computation. Majorana-bound states form at zero energy and are protected by the topological gap. We predict that our findings of the topological superconductor phase of the Luttinger model are valid for both semimetal and metal phases. Hence, our study is additionally relevant for metallic systems, like p-doped GaAs. This opens a new avenue for the search for topological superconductivity.
The focus of this thesis was to investigate how PCL and PLGA react to the heat exposure that comes with the MEW process over a defined timespan.
To assess the thermal stability of PCL during MEW over 25 d, an automated collection of fibers has been used to determine the CTS on each day of heating for three different temperatures. PCL is exceptionally stable over 25 d at 75 °C, whereas for 85 °C and 95 °C a slight upward trend during the last 10 d could be observed, which is an indication for thermal degradation. Same trend could be observed for diameter of fibers produced at a fixed collector speed. For all temperatures, CTS during the first 5 d decreased due to inhomogeneities of the melt. Physical analysis of the fibers by XRD and mechanical testing showed no significant changes.
To investigate the chemical details of the thermal durability, PCL was artificially aged over 25 d at 75 °C, 85 °C and 95 °C. Data from GPC analysis and rheology revealed that PCL is degrading steadily at all three temperatures. Combined with GC-MS analysis, two different mechanisms for degradation could be observed: random chain scission and unzipping. Additional GPC experiment using a mixture of PCL and a fluorescence labelled PCL showed that PCL was undergoing ester interchange reactions, which could explain its thermal stability.
PLGA was established successfully as material for MEW. GPC results revealed that PLGA degraded heavily in the one-hour preheating period. To reduce the processing temperature, ATEC was blended with PLGA in three mixtures. This slowed down degradation and a processing window of 6 h could be established. Mechanical testing with fibers produced with PLGA and all three blends was performed. PLGA was very brittle, whereas the blends showed an elastic behavior. This could be explained by ester interchange reactions that formed a loosely crosslinked network with ATEC.
Next to the emergence of nearly isolated quantum systems such as ultracold atoms with unprecedented experimental tunability, the conceptualization of the eigenstate thermalization hypothesis (ETH) by Deutsch and Srednicki in the late 20th century has sparked exceptional interest in the mechanism of quantum thermalization. The ETH conjectures that the expectation value of a local observable within the quantum state of an isolated, interacting quantum system converges to the thermal equilibrium value at large times caused by a loss of phase coherence, referred to as dephasing. The thermal behavior within the quantum expectation value is traced back to the level of individual eigenstates, who locally act as a thermal bath to subsystems of the full quantum system and are hence locally indistinguishable to thermal states. The ETH has important implications for the understanding of the foundations of statistical mechanics, the quantum-to-classical transition, and the nature of quantum entanglement. Irrespective of its theoretical success, a rigorous proof has remained elusive so far. $$ \ $$
An alternative approach to explain thermalization of quantum states is given by the concept of typicality. Typicality deals with typical states \(\Psi\) chosen from a subspace of Hilbert space with energy \(E\) and small fluctuations \(\delta\) around it. It assumes that the possible microstates of this subspace of Hilbert space are uniformly distributed random vectors. This is inspired by the microcanonical ensemble in classical statistical mechanics, which assumes equal weights for all accessible microstates with energy \(E\) within an energy allowance \(\delta\). It follows from the ergodic hypothesis, which states that the time spent in each part of phase space is proportional to its volume leading to large time averages being equated to ensemble averages. In typicality, the Hilbert space of quantum mechanics is hence treated as an analogue of classical phase space where statistical and thermodynamic properties can be defined. Since typicality merely shifts assumptions of statistical mechanics to the quantum realm, it does not provide a complete understanding of the emergence of thermalization on a fundamental microscopic level. $$ \ $$
To gain insights on quantum thermalization and derive it from a microscopic approach, we exclusively consider the fundamental laws of quantum mechanics. In the joint work with T. Hofmann, R. Thomale and M. Greiter, on which this thesis reports, we explore the ETH in generic local Hamiltonians in a two-dimensional spin-\(1/2\) lattice with random nearest neighbor spin-spin interactions and random on-site magnetic fields. This isolated quantum system is divided into a small subsystem weakly coupled to the remaining part, which is assumed to be large and which we refer to as bath. Eigenstates of the full quantum system as well as the action of local operators on those can then be decomposed in terms of a product basis of eigenstates of the small subsystem and the bath. Central to our analysis is the fact that the coupling between the subsystem and the bath, represented in terms of the uncoupled product eigenbasis, is given by an energy dependent random band matrix, which is obtained from both analytical and numerical considerations. $$ \ $$
Utilizing the methods of Dyson-Brownian random matrix theory for random band matrices, we analytically show that the overlaps of eigenstates of the full quantum system with the uncoupled product eigenbasis are described by Cauchy-Lorentz distributions close to their respective peaks. The result is supported by an extensive numerical study using exact diagonalization, where the numerical parameters for the overlap curve agree with the theoretical calculation. The information on the decomposition of the eigenstates of the full quantum system enables us to derive the reduced density matrix within the small subsystem given the pure density matrix of a single eigenstate. We show that in the large bath limit the reduced density matrix converges to a thermal density matrix with canonical Boltzmann probabilities determined by renormalized energies of the small subsystem which are shifted from their bare values due the influence of the coupling to the bath. The behavior of the reduced density matrix is confirmed through a finite size scaling analysis of the numerical data. Within our calculation, we make use of the pivotal result, that the density of states of a local random Hamiltonian is given by a Gaussian distribution under very general circumstances. As a consequence of our analysis, the quantum expectation value of any local observable in the subsystem agrees with its thermal expectation value, which proves the validity of the ETH in the equilibrium phase for the considered class of random local Hamiltonians and elevates it from hypothesis to theory. $$ \ $$
Our analysis of quantum thermalization solely relies on the application of quantum mechanics to large systems, locality and the absence of integrability. With the self-averaging property of large random matrices, random matrix theory does not entail a statistical assumption, but is rather applied as a mathematical tool to extract information about the behavior of large quantum systems. The canonical distribution of statistical mechanics is derived without resorting to statistical assumptions such as the concepts of ergodicity or maximal entropy, nor assuming any characteristics of quantum states such as in typicality. In future research, with this microscopic approach it may become possible to exactly pinpoint the origin of failure of quantum thermalization, e.g. in systems that exhibit many body localization or many body quantum scars. The theory further enables the systematic investigation of equilibration, i.e. to study the time scales on which thermalization takes place.
Although the concept of wealth is a topic that ancient philosophers have dealt with, relatively little attention is paid to it in psychology. This work sheds light on cognitive processes on how individuals derive a judgment about whether someone is rich and whether certain cues serve as subjective indicators of wealth. Based on three chapters that describe K = 11 observational and experimental studies (N = 2,315), three research questions shall be answered: First, to what extent do individuals differ when defining wealth? Secondly, are there universal cues of wealth that individuals use to identify rich people? And if yes, in what sense do these cues depend on the situation or context? Furthermore, it will be asked whether there are situational boundaries under which those cues do not apply. The present research shows that individuals differ in defining wealth and that they take their personal life circumstances and situational cues into account to define wealth. Moreover, evidence for a coherent wealth cue model was found that describes cues that are used by individuals to identify the rich (i.e., particularly wealthy people), whereby the validity of these cues depends on several contextual (e.g., cultural) factors. Lastly, it was found that by isolating individual wealth cues and looking at core mental representations of these cues, they may not be perceived as indicative for rich people anymore. The conclusions reported here set a foundation for further research on the perceptions of wealth which may be particularly relevant for the political discourse
The aim of this study was to provide a comprehensive overview of the frontal bone in the forensic context with special emphasis on its shape. Analyses on 19th and 20th century Euro-American and German crania were performed in terms of population differences, sexual dimorphism, secular change, and metopism.
It could clearly be seen that the frontal bone on its own already provides a lot of information toward the biological profile of an individual. Overall, using size and shape combined for analyses would always produce the best results, followed by shape only and then size only. Nevertheless, Log_Centroid_Size was the best sex-discriminating variable in the size-shape combined analyses for both populations. Population differences as well as sexual dimorphism could both be assessed (with varying accuracy) using size only and shape only respectively.
Very little secular change between the 19th and 20th century was found for the frontal in both groups respectively, with the secular change that could be seen mostly being shape variation.
Metopism analysis was only performed on German crania, because the presence or absence of a metopic suture was not documented for the Euro-American crania. Unfortunately, the results of these analyses were very limited due to too small sample sizes for the overall low percentage of metopism. The metopic frontal was once again found to be short in relation to its width and presenting a more rounded frontal curvature. The attempt of creating a formula to morphometrically assess the presence of metopism was not successful.
The results of this thesis suggest that forensic case work on skeletal remains would greatly benefit from a broader application of Geometric Morphometrics and consequently from larger databases containing shape data as well as more advanced and user-friendly software for this type of analyses.
This thesis aimed at searching for new effective agents against Multidrug-Resistant Enterobacteriaceae. This is necessitated by the urgent need for new and innovative antibacterial agents addressing the critical priority pathogens prescribed by the World Health Organization (WHO). Among the available means for antibiotics discovery and development, nature has long remained a proven, innovative, and highly reliable gateway to successful antibacterial agents. Nevertheless, numerous challenges surrounding this valuable source of antibiotics among other drugs are limiting the complete realization of its potential. These include the availability of good quality data on the highly potential natural sources, limitations in methods to prepare and screen crude extracts, bottlenecks in reproducing biological potentials observed in natural sources, as well as hurdles in isolation, purification, and characterization of natural compounds with diverse structural complexities.
Through an extensive review of the literature, it was possible to prepare libraries of plant species and phytochemicals with reported high potentials against Escherichia coli and Klebsiella pneumnoniae. The libraries were profiled to highlight the existing patterns and relationships between the reported antibacterial activities and studied plants’ families and parts, the type of the extracting solvent, as well as phytochemicals’ classes, drug-likeness and selected parameters for enhanced accumulation within the Gram-negative bacteria. In addition, motivations, objectives, the role of traditional practices and other crucial experimental aspects in the screening of plant extracts for antibacterial activities were identified and discussed.
Based on the implemented strict inclusion criteria, the created libraries grant speedy access to well-evaluated plant species and phytochemicals with potential antibacterial activities. This way, further studies in yet unexplored directions can be pursued from the indicated or related species and compounds. Moreover, the availability of compound libraries focusing on related bacterial species serves a great role in the ongoing efforts to develop the rules of antibiotics penetrability and accumulation, particularly among Gram-negative bacteria. Here, in addition to hunting for potential scaffolds from such libraries, detailed evaluations of large pool compounds with related antibacterial potential can grant a better understanding of structural features crucial for their penetration and accumulation. Based on the scarcity of compounds with broad structural diversity and activity against Gram-negative bacteria, the creation and updating of such libraries remain a laborious but important undertaking.
A Pressurized Microwave Assisted Extraction (PMAE) method over a short duration and low-temperature conditions was developed and compared to the conventional cold maceration over a prolonged duration. This method aimed at addressing the key challenges associated with conventional extraction methods which require long extraction durations, and use more energy and solvents, in addition to larger quantities of plant materials. Furthermore, the method was intended to replace the common use of high temperatures in most of the current MAE applications. Interestingly, the yields of 16 of 18 plant samples under PMAE over 30 minutes were found to be within 91–139% of those obtained from the 24h extraction by maceration. Additionally, different levels of selectivity were observed upon an analytical comparison of the extracts obtained from the two methods. Although each method indicated selective extraction of higher quantities or additional types of certain phytochemicals, a slightly larger number of additional compounds were observed under maceration. The use of this method allows efficient extraction of a large number of samples while sparing heat-sensitive compounds and minimizing chances for cross-reactions between phytochemicals.
Moreover, findings from another investigation highlighted the low likelihood of reproducing antibacterial activities previously reported among various plant species, identified the key drivers of poor reproducibility, and proposed possible measures to mitigate the challenge. The majority of extracts showed no activities up to the highest tested concentration of 1024 µg/mL. In the case of identical plant species, some activities were observed only in 15% of the extracts, in which the Minimum Inhibitory Concentrations (MICs) were 4 – 16-fold higher than those in previous reports. Evaluation of related plant species indicated better outcomes, whereby about 18% of the extracts showed activities in a range of 128–512 μg/mL, some of the activities being superior to those previously reported in related species.
Furthermore, solubilizing plant crude extracts during the preparation of test solutions for Antibacterial Susceptibility Testing (AST) assays was outlined as a key challenge. In trying to address this challenge, some studies have used bacteria-toxic solvents or generally unacceptable concentrations of common solubilizing agents. Both approaches are liable to give false positive results. In line with this challenge, this study has underscored the suitability of acetone in the solubilization of crude plant extracts. Using acetone, better solubility profiles of crude plant extracts were observed compared to dimethyl sulfoxide (DMSO) at up to 10 %v/v. Based on lacking toxicity against many bacteria species at up to 25 %v/v, its use in the solubilization of poorly water-soluble extracts, particularly those from less polar solvents is advocated.
In a subsequent study, four galloylglucoses were isolated from the leaves of Paeonia officinalis L., whereby the isolation of three of them from this source was reported for the first time. The isolation and characterization of these compounds were driven by the crucial need to continually fill the pre-clinical antibiotics pipeline using all available means. Application of the bioautography-guided isolation and a matrix of extractive, chromatographic, spectroscopic, and spectrometric techniques enabled the isolation of the compounds at high purity levels and the ascertainment of their chemical structures.
Further, the compounds exhibited the Minimum Inhibitory Concentrations (MIC) in a range of 2–256 µg/mL against Multidrug-Resistant (MDR) strains of E. coli and K. pneumonia exhibiting diverse MDR phenotypes. In that, the antibacterial activities of three of the isolated compounds were reported for the first time. The observed in vitro activities of the compounds resonated with their in vivo potentials as determined using the Galleria mellonella larvae model. Additionally, the susceptibility of the MDR bacteria to the galloylglucoses was noted to vary depending on the nature of the resistance enzymes expressed by the MDR bacteria. In that, the bacteria expressing enzymes with higher content of aromatic amino acids and zero or positive net charges were generally more susceptible. Following these findings, a plausible hypothesis for the observed patterns was put forward.
The generally challenging pharmacokinetic properties of galloylglucoses limit their further development into therapeutic agents. However, the compounds can replace or reduce the use of antibiotics in livestock keeping as well as in the treatment of septic wounds and topical or oral cavity infections, among other potential uses.
Using nature-inspired approaches, a series of glucovanillin derivatives were prepared following feasible synthetic pathways which in most cases ensured good yields and high purity levels. Some of the prepared compounds showed MIC values in a range of 128 – 512 μg/mL against susceptible and MDR strains of Klebsiella pneumoniae, Methicillin-Resistant Staphylococcus aureus (MRSA) and Vancomycin-Resistant Enterococcus faecium (VRE). These findings emphasize the previously reported essence of small molecular size, the presence of protonatable amino groups and halogen atoms, as well as an amphiphilic character, as crucial features for potential antibacterial agents.
Due to the experienced limited success in the search for new antibacterial agents using purely synthetic means, pursuing semi-synthetic approaches as employed in this study are highly encouraged. This way, it is possible to explore broader chemical spaces around natural scaffolds while addressing their inherent limitations such as solubility, toxicity, and poor pharmacokinetic profiles.
Strumpellin is a member of the highly conserved pentameric WASH complex, which stimulates the Arp2/3 complex on endosomes and induces the formation of a branched actin network. The WASH complex is involved in the formation and stabilisation of endosomal retrieval subdomains and transport carriers, into which selected proteins are packaged and subsequently transported to their respective cellular destination, e.g. the plasma membrane. Up until now, the role of Strumpellin in platelet function and endosomal trafficking has not been researched. In order to examine its role, a conditional knockout mouse line was generated, which specifically lacked Strumpellin in megakaryocytes and platelets.
Conditional knockout of Strumpellin resulted in only a mild platelet phenotype. Loss of Strumpellin led to a decreased abundance of the αIIbβ3 integrin in platelets, including a reduced αIIbβ3 surface expression by approximately 20% and an impaired αIIbβ3 activation after platelet activation. The reduced surface expression of αIIbβ3 was also detected in megakaryocytes. The expression of other platelet surface glycoproteins was not affected. Platelet count, size and morphology remained unaltered. The reduction of αIIbβ3 expression in platelets resulted in a reduced fibrinogen binding capacity after platelet activation. However, fibrinogen uptake under resting conditions, although slightly delayed, as well as overall fibrinogen content in Strumpellin-deficient platelets were comparable to controls. Most notably, reduced αIIbβ3 expression did not lead to any platelet spreading and aggregation defects in vitro. Furthermore, reduced WASH1 protein levels were detected in the absence of Strumpellin.
In conclusion, loss of Strumpellin does not impair platelet function, at least not in vitro. However, the data demonstrates that Strumpellin plays a role in selectively regulating αIIbβ3 surface expression. As a member of the WASH complex, Strumpellin may regulate αIIbβ3 recycling back to the platelet surface. Furthermore, residual WASH complex subunits may still assemble and partially function in the absence of Strumpellin, which could explain the only 20% decrease in αIIbβ3 surface expression. Nonetheless, the exact mechanism still remains unclear.
Bone morphogenetic proteins (BMPs) are involved in various aspects of cell-cell communication in complex life forms. They act as morphogens, help differentiate different cell types from different progenitor cells in development, and are involved in many instances of intercellular communication, from forming a body axis to healing bone fractures, from sugar metabolism to angiogenesis. If the same protein or protein family carries out many functions, there is a demand to regulate and fine-tune their biological activities, and BMPs are highly regulated to generate cell- and context-dependent outcomes.
Not all such instances can be explained yet. Growth/differentiation factor (GDF)5 (or BMP14) synergizes with BMP2 on chondrogenic ATDC5 cells, but antagonizes BMP2 on myoblastic C2C12 cells. Known regulators of BMP2/GDF5 signal transduction failed to explain this context-dependent difference, so a microarray was performed to identify new, cell-specific regulatory components. One identified candidate, the fibroblast growth factor receptor (FGFR)2, was analyzed as a potential new co-receptor to BMP ligands such as GDF5: It was shown that FGFR2 directly binds BMP2, GDF5, and other BMP ligands in vitro, and FGFR2 was able to positively influence BMP2/GDF5-mediated signaling outcome in cell-based assays. This effect was independent of FGFR2s kinase activity, and independent of the downstream mediators SMAD1/5/8, p42/p44, Akt, and p38. The elevated colocalization of BMP receptor type IA and FGFR2 in the presence of BMP2 or GDF5 suggests a signaling complex containing both receptors, akin to other known co-receptors of BMP ligands such as repulsive guidance molecules.
This unexpected direct interaction between FGF receptor and BMP ligands potentially opens a new category of BMP signal transduction regulation, as FGFR2 is the second receptor tyrosine kinase to be identified as BMP co-receptor, and more may follow. The integration of cell surface interactions between members of the FGF and BMP family especially may widen the knowledge of such cellular communication mechanisms which involve both growth factor families, including morphogen gradients and osteogenesis, and may in consequence help to improve treatment options in osteochodnral diseases.
This PhD thesis addresses the photophysics of selected small organic molecules with the purpose of using them for efficient and even novel light sources. In particular, the studies presented focused on revealing the underlying exciton dynamics and determining the transition rates between different molecular states. It was shown how the specific properties and mechanisms of light emission in fluorescent molecules, molecules with phosphorescence or thermally activated delayed fluorescence (TADF), biradicals, and multichromophores can be utilized to build novel light-emitting devices. The main tool employed here was the analysis of the emitters’ photon statistics, i.e. the analysis of the temporal distribution of emitted photons, during electrical or optical excitation. In the introduction of this work, the working principle of an organic light-emitting diode (OLED) was introduced, while Chapter 2 provided the physical background of the relevant properties of organic molecules and their interaction with light. In particular, the occurrence of discrete energy levels in organic semiconductors and the process of spontaneous light emission were discussed. Furthermore, in this chapter a mathematical formalism was elaborated with the goal to find out what kind of information about the studied molecule can be obtained by analyzing its photon statistics. It was deduced that the intensity correlation function g (2)(t) contains information about the first two factorial moments of the photon statistics and that higher order factorial moments do not contain any additional information about the system under study if the system is always in the same state after the emission of a photon. To conclude the introductory part, Chapter 3 introduced the utilized characterization methods including confocal microscopy of single molecules, time correlated single photon counting and temperature dependent photoluminescence measurements. To provide the background necessary for an understanding of for the following result chapters, in Section 4.1 a closer look was taken at the phenomenon of blinking and photobleaching of individual molecules. For a squaraine-based fluorescent emitter rapid switching between a bright and dark state was observed during photoexcitation. Using literature transition rates between the molecular states, a consistent model was developed that is able to explain the distribution of the residence times of the molecule in the bright and dark states. In particular, an exponential and a power-law probability distribution was measured for the time the molecule resides in tis bright and dark state, respectively. This behavior as well as the change in photoluminescence intensity between the two states was conclusively explained by diffusion of residual oxygen within the sample, which had been prepared in a nitrogen-filled glovebox. For subsequent samples of this work, thin strips of atomic aluminum were deposited on the matrices to serve as oxygen getter material. This not only suppressed the efficiency of photobleaching, but also noticeably prolonged the time prior to photobleaching, which made many of the following investigations possible in the first place. For emitters used in displays, emission properties such as narrow-band luminescence and short fluorescence lifetimes are desired. These properties can be influenced not only by the emitter molecule itself, but also by the interaction with the chosen environment. Therefore, before focusing on the photophysics of individual small organic molecules, Section 4.2 highlighted the interaction of a perylene bisimide-based molecular species with its local environment in a disordered polymethyl methacrylate matrix. In a statistical approach, individual photophysical properties were measured for 32 single molecules and correlations in the variation of the properties were analyzed. This revealed how the local polarity of the molecules’ environment influences their photophysics. In particular, it was shown how an increase in local polarity leads to a red-shifted emission, narrower emission lines, broader vibronic splitting between different emission lines in combination with a smaller Huang-Rhys parameter, and a longer fluorescence lifetime. In the future, these results may help to embed individual chromophores into larger macromolecules to provide the chromophore with the optimal local environment to exhibit the desired emission properties. The next two sections focused on a novel and promising class of chromophores, namely linear coordinated copper complexes, synthesized in the group of Dr. Andreas Steffen at the Institute of Inorganic Chemistry at the University of Würzburg. In copper atoms, the d-orbitals are fully occupied, which prevents undesirable metal-centered d-d⋆ states, which tend to lie low in energy and recombine non-radiatively. Simultaneously, the copper atom provides a flexible coordination geometry, while complexes in their linear form are expected to exhibit the least amount of excited state distortions. Depending on the chosen ligands, these copper complexes can exhibit phosphorescence as well as temperature activated delayed fluorescence. In Section 4.3, a phosphorescent copper complex with a chlorine atom and a 1-(2,6-diisopropylphenyl)-3,3,5,5-tetramethyl-2-pyrrolidine-ylidene- ligand was tested for its suitability as an optically active material in an OLED. For this purpose, an OLED with a polyspirobifluorene-based copolymer matrix and the dopant at a concentration of 20 wt% was electrically excited. Deconvolution of the emission spectrum in contributions from the matrix and the dopant revealed that 60 % of the OLEDs emission was due to the copper complex. It was also shown that the shape of the emission spectrum of the copper complex remains unchanged upon incorporation into the OLED, but is red-shifted by about 233 meV. In Section 4.4, a second copper complex exhibiting thermally activated delayed fluorescence was analyzed. This complex comprised a carbazolate as well as a 2-(2,6- diisopropyl)-phenyl-1,1-diphenyl-isoindol-2-ium-3-ide ligand and was examined in the solid state and at the single-molecule level, where single photon emission was recorded up to an intensity of 78’000 counts per second. The evaluation of the second-order autocorrelation function of the emitted light proved an efficient transition between singlet and triplet excited states on the picosecond time scale. In the solid state, the temperature- dependent fluorescence decay of the complex was analyzed after pulsed photoexcitation in the temperature range between 300 K and 5 K. From these measurements, a small singlet-triplet energy gap of only 65 meV and a triplet sublevel splitting of 3.0 meV were derived. The transition rates between molecular states could also be determined. Here, the fast singlet decay time of τS1 = 9.8ns proved the efficient thermally activated delayed fluorescence process, which was demonstrated for the first time for this new class of copper(I) complexes thus. While the use of thermally activated delayed fluorescence is a potential way to harness otherwise long-living dark triplet states, radicals completely avoid dark triplet states. However, this usually comes with the huge drawback of the molecules being chemically unstable. Therefore, two chemically stable biradical species were synthesized in the framework of the DFG research training school GRK 2112 on Molecular biradicals: structure, properties and reactivity, by Yohei Hattori in the group of Prof. Dr. Christoph Lambert and Rodger Rausch in the group of Prof. Dr. Frank Würthner at the Institute of Organic Chemistry at the University of Würzburg, respectively. In Section 4.5, it was investigated how these molecules can be used in OLEDs. In the first isoindigo based biradical (6,6’-bis(3,5-di-tert-butyl-4-phenoxyl)-1,1’-bis(2- ethylhexyl)-[3,3’-biindolinyl-idene]-2,2’-dione) two tert-butyl moieties kinetically block chemical reactions at the place of the lone electrons and an electron-withdrawing core shifts the electron density into the center of the chromophore. With these properties, it was possible to realize a poly(p-phenylene vinylene) copolymer based OLED doped with the biradical and to observe luminescence during optical as well as electrical excitation. Analyzing shapes of the photo- and electroluminescence spectra at different doping concentrations, Förster resonance energy transfer was determined to be the dominant transition mechanism for excitons from the matrix to the biradical dopants. Likewise, OLEDs could be realized with the second diphenylmethylpyridine based birad- ical (4-(5-(bis(2,4,6-trichlorophenyl)methyl)-4,6-dichloropyridin-2-yl)-N-(4-(5-(bis(2,4,6- -trichlorophenyl)methyl)-4,6-dichloropyridin-2-yl)phenyl)-N-(4-methoxyphenyl)aniline) as dopant. In this biradical, chlorinated diphenylmethyl groups protect the two unpaired electrons. Photo- and electroluminescence spectra showed an emission in the near in- frared spectral range between 750 nm and 1000 nm. Also, Förster resonance energy trans- fer was the dominant energy transfer mechanism with an transfer efficiency close to 100 % even at doping concentrations of only 5 wt%. In addition to demonstrating the working OLEDs based in biradicals, the detection of luminescence of the two biradical species in devices also constitutes an important step toward making use of experimental techniques such as optically detected electron spin resonance, which could provide information about the electronic states of the emitter and their spin manifold during OLED operation. Another class of emitters studied are molecules in which several chromophores are co- valently linked to form a macrocyclic system. The properties of these multichromophores were highlighted in Section 4.6. Here, it was analyzed how the photophysical behavior of the molecules is affected by the covalent linking, which determines the interaction be- tween the chromophores. The first multichromophore, 2,2’-ditetracene, was synthesized by Lena Ross in the group of Prof. Dr. Anke Krüger at the Institute of Organic Chemistry at the University of Würzburg and was analyzed in this work both at the single-molecule level and in its aggregated crystalline form. While the single crystals were purified and grown in a vertical sublimation oven, the samples for the single molecule studies were prepared in matrices of amorphous polymethyl methacrylate and crystalline anthracene. Tetracene was analyzed concurrently to evaluate the effects of covalent linking. In samples where the distance between two molecules is sufficiently large, tetracene and 2,2’-ditracene show matching emission profiles with the only difference in the Franck-Condon factors and a de- creased photoluminescence decay time constant from 14 ns for tetracene to 5 ns for 2,2’- ditracene, which can be attributed to the increased density of the vibrational modes in 2,2’-ditracene. Evaluation of the photon statistics of individual 2,2’-ditracene molecules however showed that the system does not behave as two individual chromophores but as a collective state, preserving the spectral properties of the two tetracene chromophores. Complementary calculations performed by Marian Deutsch in the group of Prof. Dr. Bernd Engels at the Institute of Physical and Theoretical Chemistry at the University of Würzburg helped to understand the processes in the materials and could show that the electronic and vibronic modes of 2,2’-ditracene are superpositions of the modes occurring in tetracene. In contrast, single-crystalline 2,2’-ditetracene behaves significantly different than tetracene, namely exhibiting a red shift in photoluminescence of 150 meV, caused by an altered crys- talline packing that lowers the S1-state energy level. Temperature-dependent photolu- minescence measurements revealed a rich emission pattern from 2,2’-ditetracene single crystals. The mechanisms behind this were unraveled using photoluminescence lifetime density analysis in different spectral regions of the emission spectrum and at different tem- peratures. An excimer state was identified that is located about 5 meV below the S1-state, separated by a 1 meV barrier, and which can decay to the ground state with a time constant of 9 ns. Also, as the S1-state energy level is lowered below the E(S1) ≥ 2 ×E(T1) threshold, singlet fission is suppressed in 2,2’-ditetracene in contrast to tetracene. Therefore, at low temperatures, photoluminescence is enhanced by a factor of 46, which could make 2,2’- ditetracene a useful material for future applications in devices such as OLEDs or lasers. The second multichromophore species, para-xylylene bridged perylene bisimide macrocycles, were synthesized by Peter Spenst in the group of Prof. Dr. Frank Würthner at the Institute of Organic Chemistry at the University of Würzburg, by linking three and four perylene bisimides, respectively. To reveal the exciton dynamics in these macrocycles, highly diluted monomers as well as trimers and tetramers were doped into matrices of polymethyl methacrylate to create thin films in which individual macrocycles could be analyzed. The emission spectra of the macrocycles remained identical to those of the monomers, indicating weak coupling between the chromophores. Single photon emission could be verified for monomers as well as macrocycles, as exciton-exciton annihilation processes suppress the simultaneous emission of two photons from one macrocycle. Nevertheless, the proof of the occurrence of a doubly excited state was obtained by excitation power dependent photon statistics measurements. The formalism developed in the theory part of this thesis for calculating the photon statistics of multichromophore systems was used here to find a theoretical model that matches the experimental results. The main features of this model are a doubly excited state, fast singlet-singlet annihilation, and an efficient transition from the doubly excited state to a dark triplet state. The occurrence of triplet-triplet annihilation was demonstrated in a subsequent experiment in which the macrocycles were excited at a laser intensity well above the saturation intensity of the monomer species. In contrast to the monomers, the trimers and tetramers exhibited neither a complete dark state nor saturation of photoluminescence. Both processes, efficient singlet-singlet and triplet-triplet annihilation make perylene bisimide macrocycles exceptionally bright single photon emitters. These advantages were utilized to realize a room temperature electrically driven fluorescent single photon source. For this purpose, OLEDs were fabricated using polyvinylcarbazole and 2-tert-butylphenyl-5-biphenyl-1,3,4-oxadiazol blends as a host material for perylene bisimide trimers. Photon antibunching could be observed in both optically and electrically driven devices, representing the first demonstration of electrically driven single photon sources using fluorescent emitters at room temperature. As expected from the previous optical experiments, the electroluminescence of the molecules was exceptionally bright, emitting about 105 photons per second, which could be seen even by eye under the microscope. Finally, in the last section 4.7 of this thesis, two additional measurement schemes were proposed as an alternative to the measurement of the second-order correlation function g (2)(t) of single molecules, which only provides information about the first two factorial moments of the molecules’ photon statistics. In the first scheme, the g (3)(t) function was measured with three photodiodes, which is a consequential extension of the Hanbury Brown and Twiss measurement with two photodiodes. It was demonstrated how measuring the g (3)(t) function is able to identify interfering emitters with non-Poisson statistics in the experiment. The second setup was designed with an electro-optic modulator that repeatedly gen- erates photoexcitation in the form of a step function. The recording of luminescence transients for different excitation intensities yields the same results as the correspond- ing g (2)-functions measured on single emitters, both in their shape and in their depen- dence on excitation power. To demonstrate this concept, the TADF emitter TXO-TPA (2- [4-(diphenylamino)phenyl]-10,10-dioxide-9H-thioxanthen-9-one) was doped at a concen- tration of 10−4 wt% in a mCP (1,3-Bis(N-carbazolyl)benzene) matrix. This concentration was low enough that TXO-TPA molecules did not interact with each other, but an ensem- ble of molecules was still present in the detection volume. The intramolecular transition rates between singlet and triplet states of TXO-TPA could be derived with an error of at most 5 %. Other experimental techniques designed to obtain this information require ei- ther lengthy measurements on single molecules, where sample preparation is also often a challenge, or temperature-dependent fluorescence lifetime measurements, which require a cryostat, which in turn places constraints on the sample design used. In future, this ap- proach could establish a powerful method to study external factors influencing molecular transition rates. Overall, this thesis has introduced new molecular materials, revealed their photophys- ical properties, and demonstrated how they can be used to fabricate efficient and even novel light sources.
This dissertation explores the local gazetteers of West Lake that were compiled by literati of the Ming dynasty. In 1547, the first West Lake gazetteer was published by the local literatus of Hangzhou, Tian Rucheng 田汝成. In the late sixteenth and early seventeenth centuries, accompanying the huge enthusiasm for West Lake and the flourishing of its tourism, the production of West Lake gazetteers reached its peak. This trend, however, was reduced by the turmoils in the last years of the Ming and the dynastic transition, a period when West Lake had also experienced destruction. Nevertheless, the practice was resumed in the first decades of the Qing dynasty by some literati who had survived the disasters. One prominent work of this period was compiled by the Ming loyalist and “remnant subject” Zhang Dai 張岱, who wrote an author’s preface in 1671. This dissertation can be divided into two parts. The first part focuses on the editorial principles of compilers, e.g., which materials are included, how they are organized and presented. It explores various possible intentions of the compilers, such as scholarly and documentary, practical and oriented toward tour-guiding, didactic and educational, and personal and nostalgic ones. The second part focuses on some of the perceptions, attitudes, and values of literati focusing on West Lake. The discourses analyzed in this part include West Lake as a hybrid between metropolitan city and sheer wilderness, as a national symbol and object of nostalgia of the lost dynasty, and as a place of pleasure-seeking and indulgence. While a discourse often had a long tradition and historical development, the emphasis of the study is on the late sixteenth and early seventeenth centuries, i.e., the late Ming.
The life of an exciton: From ultrafast nonradiative relaxation to high quantum yield fluorescence
(2023)
This thesis focuses on understanding and predicting processes in chromophores after electronic state excitation, particularly the impact on luminescence - the spontaneous emission of light. It considers the effect of processes preceding luminescence on emission properties, which are challenging to predict, especially in complex aggregates.
For example, excitation energy transfer is a crucial process in understanding luminescence, as it allows the emission to occur from different molecular units than where the absorption occurs. This can lead to significant shifts in emission wavelength and fluorescence quantum yields. The thesis offers solutions to model this process effectively, understanding the impact of excitation energy and exciton coupling disorder on energy transfer rates and linking simulated energy transfer to experimental measurements.
The work further explores excimer formation - an undesired luminescence loss channel due to its significant stabilization of the electronic state. Usually, the molecules obey a stacked conformation with parallel orientation to maximize the orbital overlap. This energetic lowering of the excited state can often result in trapping of the dimer in this state due to a deep minimum on the potential energy surface. The excimer formation dynamics, structural rearrangement, and its influence on singlet-correlated triplet pair states formation, critical for the singlet-fission process, have been extensively studied.
The thesis also focuses on another luminescence loss channel triggered by conical intersections between the electronic ground and the first excited states. A new model is introduced to overcome limitations in current simulation methods, considering the solvent's electrostatic and frictional effects on the barriers. The model accurately describes merocyanine dyes' solvent-dependent photoluminescence quantum yields and characterizes all relaxation channels in different BODIPY oligomer series.