@phdthesis{Renner2021,
  author    = {Renner, Rebecca},
  title     = {Aggregation, Chirality and Reduction of Nonplanar Polycyclic Aromatic Hydrocarbons},
  doi       = {10.25972/OPUS-24700},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-247000},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {Within this thesis the interactions between novel corannulene derivatives in solution as well as in the solid state by changing the imide residue of a literature known extended corannulene dicarboximide were investigated, in order to obtain a better understanding of the packing and possible charge transport in potential applications. Accordingly, the goal of the work was to synthesize and investigate an electron-poor corannulene bis(dicarboximide) based on previously published work but with higher solubility and less steric encumbrance in imide position to enable self-assembly in solution. To obtain further insights into the conformational stability, structure and chiroptical properties of heavily twisted PBIs another aim of this thesis was the design, synthesis, and optoelectronic investigation of various fourfold directly arylated PBIs by substitution in bay position with smaller hydrocarbons with different steric demand, i.e., benzene, naphthalene and pyrene, which should be separable by chiral high performance liquid chromatography (HPLC). As of yet, no concise study concerning the optical and electronic properties of differently core-substituted PBIs in the neutral as well as the mono- and dianionic state in solution is available, which also elucidates the origin of the different optical transitions observed in the absorption and emission spectra. Thus, in this thesis, the investigation of five PBI derivatives with different frontier energetic levels to produce a reference work of reduced PBIs was tackled.},
  subject      = {Corannulene},
  language  = {en}
}
@phdthesis{PeethambaranNairSyamala2021,
  author    = {Peethambaran Nair Syamala, Pradeep},
  title     = {Bolaamphiphilic Rylene Bisimides: Thermodynamics of Self-assembly and Stimuli-responsive Properties in Water},
  doi       = {10.25972/OPUS-21342},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-213424},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {The present thesis demonstrates how different thermodynamic aspects of self-assembly and stimuli-responsive properties in water can be encoded on the structure of π-amphiphiles, consisting of perylene or naphthalene bisimide cores. Initially, quantitative thermodynamic insights into the entropically-driven self-assembly was studied for a series of naphthalene bisimides with UV/Vis and ITC measurements, which demonstrated that their thermodynamic profile of aggregation is heavily influenced by the OEG side chains. Subsequently, a control over the bifurcated thermal response of entropically driven and commonly observed enthalpically driven self-assembly was achieved by the modulation of glycol chain orientation. Finally, Lower Critical Solution Temperature (LCST) phenomenon observed for these dyes was investigated as a precise control of this behavior is quintessential for self-assembly studies as well as to generate 'smart' materials. It could be shown that the onset of phase separation for these molecules can be encoded in their imide substituents, and they are primarily determined by the supramolecular packing, rather than the hydrophobicity of individual monomers.},
  subject      = {Supramolekulare Chemie},
  language  = {en}
}
@phdthesis{Wehner2021,
  author    = {Wehner, Marius},
  title     = {Supramolecular Polymorphism in Homo- and Heterochiral Supramolecular Polymerizations},
  doi       = {10.25972/OPUS-21151},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-211519},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {The aim of the first part of this thesis was to investigate (R,R)-PBI as a model system for polymorphism at its origin by a supramolecular approach. The pathway complexity of (R,R)-PBI was fine-tuned by experimental parameters such as solvent, temperature and concentration to make several supramolecular polymorphs accessible. Mechanistic and quantum chemical studies on the kinetics and thermodynamics of the supramolecular polymerization of (R,R)-PBI were conducted to shed light on the initial stages of polymorphism. The second part of this work deals with mechanistic investigations on the supramolecular polymerization of the racemic mixture of (R,R)- and (S,S)-PBI with regard to homochiral and heterochiral aggregation leading to conglomerates and a racemic supramolecular polymer, respectively.},
  subject      = {Supramolekulare Chemie},
  language  = {en}
}
@phdthesis{Shen2021,
  author    = {Shen, Chia-An},
  title     = {Dicyanomethylene Squaraines: Aggregation and G-Quadruplex Complexation},
  doi       = {10.25972/OPUS-24359},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-243599},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {Squaraine dyes have attracted more attention in the past decade due to their strong and narrow absorption and fluorescence along with the easily functionalized molecular structure. One successful approach of core functionalization is to replace one oxygen of the squaric carbonyl group with a dicyanomethylene group, which shifts the absorption and emission into the near infrared (NIR) region and at the same time leads to a rigid, planar structure with C2v symmetry. However, such squaraines tend to aggregate cofacially in solution due to dispersion forces and dipole-dipole interactions, usually leading to H-type exciton coupling with undesired blue-shifted spectrum and quenched fluorescence. Therefore, the goal of my research was the design of dicyanomethylene-substituted squaraine dyes that self-assemble into extended aggregates in solution with J-type coupling, in order to retain or even enhance their outstanding optical properties. Toward this goal, bis(squaraine) dyes were envisioned with two squaraine units covalently linked to trigger a slip-stacked packing motif within the aggregates to enable J-type coupling. In my first project, bis(squaraine) dye BisSQ1 was synthesized, in which two dicyanomethylene squaraine chromophores are covalently linked. Concentration and temperature-dependent UV/Vis/NIR spectroscopy experiments reveal that BisSQ1 undergoes cooperative self-assembly resulting in J-type aggregates in a solvent mixture of toluene/1,1,2,2-tetrachloroethane (TCE) (98:2, v/v). The J type exciton coupling is evident from the significantly red shifted absorption maximum at 886 nm and the fluorescence peak at 904 nm. In conclusion, this was a first example to direct squaraine dye aggregation in solution to the more desired slip-stacked packing leading to J-type exciton coupling by simply connecting two dyes in a head-to-tail bis chromophore structure. Connecting two squaraine dyes with an additional phenylene spacer (BisSQ2) leads to two different polymorphs with very distinct absorption spectra upon cooling down a solution of BisSQ2 in a solvent mixture of toluene/TCE (98:2, v/v) with different rates. Accordingly, rapid cooling resulted in rigid helical nanorods with an absorption spectrum showing a panchromatic feature, while slow cooling led to a sheet-like structure with a significant bathochromic shift in the absorption spectrum. It was discovered that the conventional molecular exciton model failed to explain the panchromatic absorption features of the nanorods for the given packing arrangement, therefore more profound theoretical investigations based on the Essential States Model (ESM) were applied to unveil the importance of intermolecular charge transfer (ICT) to adequately describe the panchromatic absorption spectrum. Moreover, the red-shift observed in the spectrum for the sheet-like structure can be assigned to the interplay of Coulomb coupling and ICT-mediated coupling. Furthermore, the same bis-chromophore strategy was adopted for constructing an NIR-II emitter with a bathochromically-shifted spectrum. In chloroform, BisSQ3 exhibits an absorption maximum at 961 nm with a significant bathochromic shift (1020 cm-1) compared to the reference mono-squaraine SQ, indicating intramolecular J-type coupling via head-to-tail arrangement of two squaraine dyes. Moreover, BisSQ3 shows a fluorescence peak at 971 nm with a decent quantum yield of 0.33\%. In less polar toluene, BisSQ3 self-assembles into nanofibers with additional intermolecular J-type coupling, causing a pronounced bathochromic shift with absorption maximum at 1095 nm and a fluorescence peak at 1116 nm. Thus, connecting two quinoline-based squaraines in a head-to-tail fashion leads to not only intra-, but also intermolecular J-type exciton coupling, which serves as a promising strategy to shift the absorption and emission of organic fluorophores into the NIR-II window while retaining decent quantum yields. In conclusion, my research illustrates based on squaraine dyes how a simple modification of the molecular structure can significantly affect the aggregation behavior and further alter the optical properties of dye aggregates. Elongated supramolecular structures based on dicyanomethylene substituted squaraine dyes were successfully established by covalently linking two squaraine units to form a bis-chromophore structure. Then, a simple but efficient general approach was established to direct squaraine dye aggregation in solution to the more desired slip-stacked packing leading to J-type exciton coupling by directly connecting two squaraine dyes in a head-to-tail fashion without spacer units. Moreover, the additional spacer between the squaraine dyes in BisSQ2 allowed different molecular conformations, which leads to two different morphologies depending on the cooling rates for a hot solution. Hence, this is a promising strategy to realize supramolecular polymorphism. In general, it is expected that the concept of constructing J-aggregates by the bis-chromophore approach can be extended to entirely different classes of dyes since J-aggregates possess a variety of features such as spectral shifts into the NIR window, fluorescence enhancement, and light harvesting, which are commonly observed and utilized for numerous fundamental studies and applications. Moreover, the insights on short-range charge transfer coupling for squaraine dyes is considered of relevance for all materials based on alternating donor-acceptor π-systems. The panchromatic spectral feature is in particular crucial for acceptor-donor-acceptor (ADA) dyes, which are currently considered as very promising materials for the development of bulk heterojunction solar cells.},
  subject      = {Squaraine},
  language  = {en}
}
@phdthesis{Schwedhelm2019,
  author    = {Schwedhelm, Ivo Peter},
  title     = {A non-invasive microscopy platform for the online monitoring of hiPSC aggregation in suspension cultures in small-scale stirred tank bioreactors},
  doi       = {10.25972/OPUS-19298},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-192989},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {The culture of human induced pluripotent stem cells (hiPSCs) at large-scale becomes feasible with the aid of scalable suspension setups in continuously stirred tank reactors (CSTRs). Suspension cul- tures of hiPSCs are characterized by the self-aggregation of single cells into macroscopic cell aggre- gates that increase in size over time. The development of these free-floating aggregates is dependent on the culture vessel and thus represents a novel process parameter that is of particular interest for hiPSC suspension culture scaling. Further, aggregates surpassing a critical size are prone to spon- taneous differentiation or cell viability loss. In this regard, and, for the first time, a hiPSC-specific suspension culture unit was developed that utilizes in situ microscope imaging to monitor and to characterize hiPSC aggregation in one specific CSTR setup to a statistically significant degree while omitting the need for error-prone and time-intensive sampling. For this purpose, a small-scale CSTR system was designed and fabricated by fused deposition modeling (FDM) using an in-house 3D- printer. To provide a suitable cell culture environment for the CSTR system and in situ microscope, a custom-built incubator was constructed to accommodate all culture vessels and process control devices. Prior to manufacture, the CSTR design was characterized in silico for standard engineering parameters such as the specific power input, mixing time, and shear stress using computational fluid dynamics (CFD) simulations. The established computational model was successfully validated by comparing CFD-derived mixing time data to manual measurements. Proof for system functionality was provided in the context of long-term expansion (4 passages) of hiPSCs. Thereby, hiPSC aggregate size development was successfully tracked by in situ imaging of CSTR suspensions and subsequent automated image processing. Further, the suitability of the developed hiPSC culture unit was proven by demonstrating the preservation of CSTR-cultured hiPSC pluripotency on RNA level by qRT-PCR and PluriTest, and on protein level by flow cytometry.},
  subject      = {Induzierte pluripotente Stammzelle},
  language  = {en}
}
@phdthesis{Wagner2019,
  author    = {Wagner, Wolfgang},
  title     = {Supramolecular Block Copolymers by Seeded Living Supramolecular Polymerization of Perylene Bisimides},
  doi       = {10.25972/OPUS-19300},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-193004},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {The research on supramolecular polymerization has undergone a rapid development in the last two decades, particularly since supramolecular polymers exhibit a broad variety of functionalities and applications in organic electronics, biological science or as functional materials (Chapter 2.1). Although former studies have focused on investigation of the thermodynamics of supramolecular polymerization (Chapter 2.2), the academic interest in the recent years shifted towards gaining insight into kinetically controlled self-assembly and pathway complexity to generate novel out-of-equilibrium architectures with interesting nanostructures and features (Chapter 2.3). Along this path, the concepts of seeded and living supramolecular polymerization were recently developed to enable the formation of supramolecular polymers with controlled length and low polydispersity under precise kinetic control (Chapter 2.4). Besides that, novel strategies were developed to achieve supramolecular copolymerization resulting in complex multicomponent nanostructures with different structural motives. The classification of these supramolecular copolymers on the basis of literature examples and an overview of previously reported principles to create such supramolecular architectures are provided in Chapter 2.5. The aim of the thesis was the non-covalent synthesis of highly desirable supramolecular block copolymers by the approach of living seeded supramolecular polymerization and to study the impact of the molecular shape of the monomeric building blocks on the supramolecular copolymerization. Based on the structure of the previously investigated PBI organogelator H-PBI a series of novel PBIs, bearing identical hydrogen-bonding amide side-groups in imide-position and various kind or number of substituents in bay-position, was synthesized and analyzed within this thesis. The new PBIs were successfully obtained in three steps starting from the respective bromo-substituted perylene-3,4:9,10-tetracarboxylic acid tetrabutylesters or from the N,N'-dicyclohexyl-1,7-dibromoperylene-3,4:9,10-tetracarboxylic acid bisimide. All target compounds were obtained in the final step by imidization reactions of the respective perylene tetracarboxylic acid bisanhydride precursors with N-(2-aminoethyl)-3,4,5-tris(dodecyloxy)-benzamide and were fully characterized by 1H and 13C NMR spectroscopy as well as high resolution mass spectrometry. The variation of bay-substituents strongly changes the optical properties of the monomeric PBIs which were investigated by UV/vis and fluorescence spectroscopy. The increase of the number of the methoxy-substituents provokes, for example, a red-shift of the absorption maxima concomitant with a decrease of extinction coefficients and leads to a drastic increase of the fluorescence quantum yields. Furthermore, the molecular geometry of the PBIs is also affected by variations of the bay-substituents. Thus, increasing the steric demand of the bay-substituents leads to an enlargement of the twist angles of the PBI cores as revealed by DFT calculations. Especially the 1,7-dimethoxy bay-substituted MeO-PBI proved to be very well-suited for the studies envisioned within this thesis. The self-assembly of this PBI derivative was analyzed in detail by UV/vis, fluorescence and FT-IR spectroscopy as well as atomic force microscopy (Chapter 3). These studies revealed that MeO-PBI forms in a solvent mixture of methylcyclohexane and toluene (2:1, v/v) kinetically trapped off-pathway H-aggregated nanoparticles upon fast cooling of a monomeric solution from 90 to 20 °C. However, upon slow cooling of the monomer solution fluorescent J-type nanofibers are formed by π π interactions and intermolecular hydrogen-bonding. The kinetically metastable off-pathway H-aggregates can be transformed into the thermodynamically more favored J-type aggregates by addition of seeds, which are produced by ultrasonication of the polymeric nanofibers. Interestingly, the living character of this seed-induced supramolecular polymerization process was proven by a newly designed multicycle polymerization experimental protocol. This living polymerization experiment clearly proves, that the polymerization can only occur at the "active" ends of the polymeric seed and that almost no recombination or chain termination processes are present. Hence, the approach of living supramolecular polymerization enables the formation of supramolecular polymers with controlled length and narrow polydispersity. In Chapter 4 the copolymerization of MeO-PBI with the structurally similar 1,7-dichloro (Cl-PBI) and 1,7-dimethylthio (MeS-PBI) bay-substituted PBIs is studied in detail. Both PBIs form analogous to MeO-PBI kinetically trapped off-pathway aggregates, which can be converted into the thermodynamically stable supramolecular polymers by seed-induced living supramolecular polymerization under precise kinetic control. However, the stability of the kinetically trapped aggregates of Cl-PBI and MeS-PBI is distinctly reduced compared to that of MeO-PBI, because the π-π-interactions of the kinetically metastable aggregates are hampered through the increased twisting of the PBI-cores of the former PBIs. UV/vis studies revealed that the two-component seeded copolymerization of the kinetically trapped state of MeO-PBI with seeds of Cl-PBI leads to the formation of unprecedented supramolecular block copolymers with A-B-A pattern by a living supramolecular polymerization process at the termini of the seeds. Remarkably, the resulting A-B-A block pattern of the obtained copolymers was clearly confirmed by atomic force microscopy studies as the respective blocks formed by the individual monomeric units could be distinguished by the pitches of the helical nanofibers. Moreover, detailed UV/vis and AFM studies have shown that by inverted two-component seed-induced polymerization, e.g., upon addition of seeds of MeO-PBI to the kinetically trapped aggregates of Cl-PBI, triblock supramolecular copolymers with B-A-B pattern can be generated. The switching of the block pattern could only be achieved because of the perfectly matching conditions for the copolymerization process and the tailored molecular geometry of the individual building blocks of both PBIs. These studies have demonstrated for the first time, that the block pattern of a supramolecular copolymer can be modulated by the experimental protocol through the approach of living supramolecular polymerization. Furthermore, by UV/vis analysis of the living copolymerization of MeO-PBI and MeS-PBI similar results were obtained showing also the formation of both A-B-A and B-A-B type supramolecular block copolymers. Although for these two PBIs the individual blocks could not be identified by AFM because the helical nanofibers of both PBIs exhibit identical helical pitches, these studies revealed for the first time that the approach of seeded living polymerization is not limited to a special pair of monomeric building blocks. In the last part of the thesis (Chapter 5) a systematic study on the two-component living copolymerization of PBIs with various sterical demanding bay-substituents is provided. Thus, a series of PBIs containing identical hydrogen-bonding amide groups in imide position but variable number (1-MeO-PBI, MeO-PBI, 1,6,7-MeO-PBI, 1,6,7,12-MeO-PBI) or size (EtO-PBI, iPrO-PBI) of alkoxy bay-substituents was investigated. The molecular geometry of the monomeric building blocks has a strong impact on the thermodynamically and even more pronounced on the kinetically controlled aggregation in solvent mixtures of MCH and Tol. While the mono- and dialkoxy-substituted PBIs form kinetically metastable species, the self-assembly of the tri- and tetramethoxy-substituted PBIs (1,6,7-MeO-PBI and 1,6,7,12-MeO-PBI) is completely thermodynamically controlled. The two 1,7-alkoxy substituted PBIs (EtO-PBI, iPrO-PBI) form very similar to MeO-PBI kinetically off-pathway H-aggregates and thermodynamically more favored J-type aggregates. However, the stability of the kinetically metastable state is drastically lower and the conversion into the thermodynamically favored state much faster than for MeO-PBI. In contrast, the monomethoxy-substituted PBI derivative (1-MeO-PBI) forms a kinetically trapped species by intramolecular hydrogen-bonding of the monomers, which can be transformed into the thermodynamically favored nanofibers by seeded polymerization. Importantly, the two-component seeded copolymerization of the kinetically trapped MeO PBI with seeds of other PBIs of the present series was studied by UV/vis and AFM revealing that the formation of supramolecular block copolymers is only possible for appropriate combinations of PBI building blocks. Thus, the seeded polymerization of the trapped state of the moderately core-twisted MeO-PBI with the, according to DFT-calculations, structurally similar PBIs (EtO-PBI and iPrO-PBI) leads to the formation of A-B-A block copolymers, like in the seeded copolymerization of MeO-PBItrapped with seeds of Cl-PBI and MeS-PBI already described in Chapter 4. However, by addition of seeds of the almost planar PBIs (H-PBI and 1-MeO-PBI) or seeds of the strongly core-twisted PBIs (1,6,7-MeO-PBI and 1,6,7,12-MeO-PBI) to the kinetically trapped state of MeO-PBI no block copolymers can be obtained. The mismatching geometry of these molecular building blocks strongly hampers both the intermolecular hydrogen-bonding and the π-π-interactions between the two different PBIs and consequently prevents the copolymerization process. Furthermore, the studies of the two-component seeded copolymerization of the kinetically trapped species of 1-MeO-PBI with seeds of the other PBIs also corroborated that a precise shape complementarity is crucial to generate supramolecular block copolymers. Thus, by addition of seeds of H-PBI to the kinetically trapped monomers of 1-MeO-PBI supramolecular block copolymers were generated. Both PBIs exhibit an almost planar PBI core according to DFT-calculations leading to strong non-covalent interactions between these PBIs. This perfectly matching geometry of both PBIs also enables the inverted seeded copolymerization of the kinetically trapped monomers of H-PBI with 1-MeO-PBIseed concomitant with a switching of the block pattern of the supramolecular copolymer from A-B-A to B-A-B type. In contrast, the seeding with the moderately twisted (MeO-PBI, EtO-PBI and iPrO-PBI) and the strongly twisted PBIs (1,6,7-MeO-PBI and 1,6,7,12 MeO-PBI) has no effect on the kinetically trapped state of 1-MeO-PBI, because the copolymerization of these PBIs is prevented by the mismatching geometry of the molecular building blocks. In conclusion, the supramolecular polymerization and two-component seeded copolymerization of a series of PBI monomers was investigated within this thesis. The studies revealed that the thermodynamically and kinetically controlled self-assembly can be strongly modified by subtle changes of the monomeric building blocks. Moreover, the results have shown that living supramolecular polymerization is an exceedingly powerful method to generate unprecedented supramolecular polymeric nanostructures with controlled block pattern and length distribution. The formation of supramolecular block copolymers can only be achieved under precise kinetic control of the polymerization process and is strongly governed by the shape complementarity already imparted in the individual components. Thus, these insightful studies might enable a more rational design of monomeric building blocks for the non-covalent synthesis of highly complex supramolecular architectures with interesting properties for possible future applications, e.g., as novel functional materials.},
  subject      = {Supramolekulare Chemie},
  language  = {en}
}
@phdthesis{Rest2015,
  author    = {Rest, Christina},
  title     = {Self-assembly of amphiphilic oligo(phenylene ethynylene)-based (bi)pyridine ligands and their Pt(II) and Pd(II) complexes},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-133248},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {The presented work in the field of supramolecular chemistry describes the synthesis and detailed investigation of (bi)pyridine-based oligo(phenylene ethynylene) (OPE) amphiphiles, decorated with terminal glycol chains. The metal-ligating property of these molecules could be exploited to coordinate to Pd(II) and Pt(II) metal ions, respectively, resulting in the creation of novel metallosupramolecular π-amphiphiles of square-planar geometry. The focus of the presented studies is on the self-assembly behaviour of the OPE ligands and their corresponding metal complexes in polar and aqueous environment. In this way, the underlying aggregation mechanism (isodesmic or cooperative) is revealed and the influence of various factors on the self-assembly process in supramolecular systems is elucidated. In this regard, the effect of the molecular design of the ligand, the coordination to a metal centre as well as the surrounding medium, the pH value and temperature is investigated.},
  subject      = {Supramolekulare Chemie},
  language  = {en}
}
@phdthesis{Rehm2015,
  author    = {Rehm, Stefanie},
  title     = {Spermine-functionalized Perylene Bisimide Dyes: Synthesis and Self-assembly in Water},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-123201},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {The main objective of this thesis was the design and synthesis of perylene bisimide dyes with sufficient water-solubility for the construction of self-assembled architectures in aqueous solutions. Beside these tasks another goal of this project was the control over the self-assembly process in terms of aggregate size and helicity, respectively. Within this thesis an appropriate synthesis for spermine-functionalized perylene bisimide dyes was developed and conducted successfully. The characterization of these building blocks and their course of self-assembly were investigated by NMR, UV/Vis and fluorescence spectroscopy as well as by atomic force and transmission electron microscopy. For the better understanding of the experimental results theoretical calculations were performed.},
  subject      = {Perylenderivate},
  language  = {en}
}
@phdthesis{SafontSempere2010,
  author    = {Safont Sempere, Marina Montserrat},
  title     = {Chiral self-sorting of atropo-enantiomeric perylene bisimide dyes},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-55359},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2010},
  abstract  = {This thesis included the synthesis of conformationally stable chiral perylene bisimide (PBI) dyes, the study of their optical properties in solution and their chiral self-sorting behaviour in nonpolar solvents in which dimerization via pi-pi-stacking takes place. Furthermore, the influence of PBI core chirality on the properties of these dyes in the condensed state has been also studied. We have demonstrated and quantified the prevalence of chiral self-recognition over self-discrimination in pi-stacking dimerization of PBIs. It has been shown that this self-recognition event is compromised by the increasing flexibility of the structures related to the size of the OEG bridging units. Moreover, the inherent chirality of these PBIs has been proven to strongly influence their condensed state properties, for which large differences between the pure enantiomers and the racemates were revealed, as well as between the different bridged macrocyclic PBIs.},
  subject      = {Farbstoff},
  language  = {en}
}
@phdthesis{Tichy2011,
  author    = {Tichy, Michael},
  title     = {On algebraic aggregation methods in additive preconditioning},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-56541},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2011},
  abstract  = {In the following dissertation we consider three preconditioners of algebraic multigrid type, though they are defined for arbitrary prolongation and restriction operators, we consider them in more detail for the aggregation method. The strengthened Cauchy-Schwarz inequality and the resulting angle between the spaces will be our main interests. In this context we will introduce some modifications. For the problem of the one-dimensional convection we obtain perfect theoretical results. Although this is not the case for more complex problems, the numerical results we present will show that the modifications are also useful in these situation. Additionally, we will consider a symmetric problem in the energy norm and present a simple rule for algebraic aggregation.},
  subject      = {Pr{\"a}konditionierung},
  language  = {en}
}