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As climate change worsens, there is a growing urgency to promote renewable energies and improve their accessibility to society. Here, solar energy harvesting is of particular importance. Currently, metal halide perovskite (MHP) solar cells are indispensable in future solar energy generation research. MHPs are crystalline semiconductors increasingly relevant as low-cost, high-performance materials for optoelectronics. Their processing from solution at low temperature enables easy fabrication of thin film elements, encompassing solar cells and light-emitting diodes or photodetectors. Understanding the coordination chemistry of MHPs in their precursor solution would allow control over the thin film crystallization, the material properties and the final device performance.
In this work, we elaborate on the key parameters to manipulate the precursor solution with the long-term objective of enabling systematic process control. We focus on the nanostructural characterization of the initial arrangements of MHPs in the precursor solutions. Small-angle scattering is particularly well suited for measuring nanoparticles in solution. This technique proved to be valuable for the direct analyzes of perovskite precursor solutions in standard processing concentrations without causing radiation damage. We gain insights into the chemical nature of widely used precursor structures such as methylammonium lead iodide (MAPbI3), presenting first insights into the complex arrangements and interaction within this precursor state. Furthermore, we transfer the preceding results to other more complex perovskite precursors. The influence of compositional engineering is investigated using the addition of alkali cations as an example. As a result, we propose a detailed working mechanism on how the alkali cations suppress the formation of intermediate phases and improve the quality of the crystalline thin film. In addition, we investigate the crystallization process of a tin-based perovskite composition (FASnI3) under the influence of fluoride chemistry. We prove that the frequently used additive, tin fluoride (SnF2), selectively binds undesired oxidized tin (Sn(IV)) in the precursor solution. This prevents its incorporation into the actual crystal structure and thus reduces the defect density of the material. Furthermore, SnF2 leads to a more homogeneous crystal growth process, which results in improved crystal quality of the thin film material.
In total, this study provides a detailed characterization of the complex system of perovskite precursor chemistry. We thereby cover relevant parameters for future MHP solar cell process control, such as (I) the environmental impact based on concentration and temperature (II) the addition of counter ions to reduce the diffuse layer surrounding the precursor nanostructures and (III) the targeted use of additives to eliminate unwanted components selectively and to ensure a more homogeneous crystal growth.
Core-shell upconversion nanoparticles - investigation of dopant intermixing and surface modification
(2022)
Frequency upconversion nanoparticles (UCNPs) are inorganic nanocrystals capable to up-convert incident photons of the near-infrared electromagnetic spectrum (NIR) into higher energy photons. These photons are re-emitted in the range of the visible (Vis) and even ultraviolet (UV) light. The frequency upconversion process (UC) is realized with nanocrystals doped with trivalent lanthanoid ions (Ln(III)). The Ln(III) ions provide the electronic (excited) states forming a ladder-like electronic structure for the Ln(III) electrons in the nanocrystals. The absorption of at least two low energy photons by the nanoparticle and the subsequent energy transfer to one Ln(III) ion leads to the promotion of one Ln(III) electron into higher excited electronic states. One high energy photon will be emitted during the radiative relaxation of the electron in the excited state back into the electronic ground state of the Ln(III) ion. The excited state electron is the result of the previous absorption of at least two low energy photons.
The UC process is very interesting in the biological/medical context. Biological samples (like organic tissue, blood, urine, and stool) absorb high-energy photons (UV and blue light) more strongly than low-energy photons (red and NIR light). Thanks to a naturally occurring optical window, NIR light can penetrate deeper than UV light into biological samples. Hence, UCNPs in bio-samples can be excited by NIR light. This possibility opens a pathway for in vitro as well as in vivo applications, like optical imaging by cell labeling or staining of specific organic tissue. Furthermore, early detection and diagnosis of diseases by predictive and diagnostic biomarkers can be realized with bio-recognition elements being labeled to the UCNPs. Additionally, "theranostic" becomes possible, in which the identification and the treatment of a disease are tackled simultaneously.
For this to succeed, certain parameters for the UCNPs must be met: high upconversion efficiency, high photoluminescence quantum yield, dispersibility, and dispersion stability in aqueous media, as well as availability of functional groups to introduce fast and easy bio-recognition elements. The UCNPs used in this work were prepared with a solvothermal decomposition synthesis yielding in particles with NaYF4 or NaGdF4 as host lattice. They have been doped with the Ln(III) ions Yb3+ and Er3+, which is only one possible upconversion pair. Their upconversion efficiency and photoluminescence quantum yield were improved by adding a passivating shell to reduce surface quenching.
However, the brightness of core-shell UCNPs stays behind the expectations compared to their bulk material (being at least μm-sized particles). The core-shell structures are not clearly separated from each other, which is a topic in literature. Instead, there is a transition layer between the core and the shell structure, which relates to the migration of the dopants within the host lattice during the synthesis. The ion migration has been examined by time-resolved laser spectroscopy and the interlanthanoid resonance energy transfer (LRET) in the two different host lattices from above. The results are
presented in two publications, which dealt with core-shell-shell structured nanoparticles. The core is doped with the LRET-acceptor (either Nd3+ or Pr3+). The intermediate shell serves as an insulation shell of pure host lattice material, whose shell thickness has been varied within one set of samples having the same composition, so that the spatial separation of LRET-acceptor and -donor changes. The outer shell with the same host lattice is doped with the LRET-donor (Eu3+). The effect of the increasing insulation shell thickness is significant, although the LRET cannot be suppressed completely.
Next to the Ln(III) migration within a host lattice, various phase transfer reactions were investigated in order to subsequently perform surface modifications for bioapplications. One result out of this research has been published using a promising ligand, that equips the UCNP with bio-modifiable groups and has good potential for bio-medical applications. This particular ligand mimics natural occurring mechanisms of mussel protein adhesion and of blood coagulation, which is why the UCNPs are encapsulated very effectively. At the same time, bio-functional groups are introduced. In a proof-of-concept, the encapsulated UCNP has been coupled successfully with a dye (which is representative for a biomarker) and the system’s photoluminescence properties have been investigated.
It has frequently been observed that single emotional events are not only more efficiently processed, but also better remembered, and form longer-lasting memory traces than neutral material. However, when emotional information is perceived as a part of a complex event, such as in the context of or in relation to other events and/or source details, the modulatory effects of emotion are less clear. The present work aims to investigate how emotional, contextual source information modulates the initial encoding and subsequent long-term retrieval of associated neutral material (item memory) and contextual source details (contextual source memory). To do so, a two-task experiment was used, consisting of an incidental encoding task in which neutral objects were displayed over different contextual background scenes which varied in emotional content (unpleasant, pleasant, and neutral), and a delayed retrieval task (1 week), in which previously-encoded objects and new ones were presented. In a series of studies, behavioral indices (Studies 2, 3, and 5), event-related potentials (ERPs; Studies 1-4), and functional magnetic resonance imaging (Study 5) were used to investigate whether emotional contexts can rapidly tune the visual processing of associated neutral information (Study 1) and modulate long-term item memory (Study 2), how different recognition memory processes (familiarity vs. recollection) contribute to these emotion effects on item and contextual source memory (Study 3), whether the emotional effects of item memory can also be observed during spontaneous retrieval (Sstudy 4), and which brain regions underpin the modulatory effects of emotional contexts on item and contextual source memory (Study 5). In Study 1, it was observed that emotional contexts by means of emotional associative learning, can rapidly alter the processing of associated neutral information. Neutral items associated with emotional contexts (i.e. emotional associates) compared to neutral ones, showed enhanced perceptual and more elaborate processing after one single pairing, as indexed by larger amplitudes in the P100 and LPP components, respectively. Study 2 showed that emotional contexts produce longer-lasting memory effects, as evidenced by better item memory performance and larger ERP Old/New differences for emotional associates. In Study 3, a mnemonic differentiation was observed between item and contextual source memory which was modulated by emotion. Item memory was driven by familiarity, independently of emotional contexts during encoding, whereas contextual source memory was driven by recollection, and better for emotional material. As in Study 2, enhancing effects of emotional contexts for item memory were observed in ERPs associated with recollection processes. Likewise, for contextual source memory, a pronounced recollection-related ERP enhancement was observed for exclusively emotional contexts. Study 4 showed that the long-term recollection enhancement of emotional contexts on item memory can be observed even when retrieval is not explicitly attempted, as measured with ERPs, suggesting that the emotion enhancing effects on memory are not related to the task embedded during recognition, but to the motivational relevance of the triggering event. In Study 5, it was observed that enhancing effects of emotional contexts on item and contextual source memory involve stronger engagement of the brain's regions which are associated with memory recollection, including areas of the medial temporal lobe, posterior parietal cortex, and prefrontal cortex.
Taken together, these findings suggest that emotional contexts rapidly modulate the initial processing of associated neutral information and the subsequent, long-term item and contextual source memories. The enhanced memory effects of emotional contexts are strongly supported by recollection rather than familiarity processes, and are shown to be triggered when retrieval is both explicitly and spontaneously attempted. These results provide new insights into the modulatory role of emotional information on the visual processing and the long-term recognition memory of complex events. The present findings are integrated into the current theoretical models and future ventures are discussed.
Functional traits determine biomass dynamics, coexistence and energetics in plankton food webs
(2022)
Plankton food webs are the basis of marine and limnetic ecosystems. Especially aquatic ecosystems of high biodiversity provide important ecosystem services for humankind as providers of food, coastal protection, climate regulation, and tourism. Understanding the dynamics of biomass and coexistence in these food webs is a first step to understanding the ecosystems. It also lays the foundation for the development of management strategies for the maintenance of the marine and freshwater biodiversity despite anthropogenic influences.
Natural food webs are highly complex, and thus often equally complex methods are needed to analyse and understand them well. Models can help to do so as they depict simplified parts of reality. In the attempt to get a broader understanding of the complex food webs, diverse methods are used to investigate different questions.
In my first project, we compared the energetics of a food chain in two versions of an allometric trophic network model. In particular, we solved the problem of unrealistically high trophic transfer efficiencies (up to 70%) by accounting for both basal respiration and activity respiration, which decreased the trophic transfer efficiency to realistic values of ≤30%. Next in my second project I turned to plankton food webs and especially phytoplankton traits. Investigating a long-term data set from Lake Constance we found evidence for a trade-off between defence and growth rate in this natural phytoplankton community. I continued working with this data set in my third project focusing on ciliates, the main grazer of phytoplankton in spring. Boosted regression trees revealed that temperature and predators have the highest influence on net growth rates of ciliates. We finally investigated in my fourth project a food web model inspired by ciliates to explore the coexistence of plastic competitors and to study the new concept of maladaptive switching, which revealed some drawbacks of plasticity: faster adaptation led to higher maladaptive switching towards undefended phenotypes which reduced autotroph biomass and coexistence and increased consumer biomass.
It became obvious that even well-established models should be critically questioned as it is important not to forget reality on the way to a simplistic model. The results showed furthermore that long-term data sets are necessary as they can help to disentangle complex natural processes. Last, one should keep in mind that the interplay between models and experiments/ field data can deliver fruitful insights about our complex world.
Proteine sind an praktisch allen Prozessen in lebenden Zellen maßgeblich beteiligt. Auch in der Biotechnologie werden Proteine in vielfältiger Weise eingesetzt.
Ein Protein besteht aus einer Kette von Aminosäuren. Häufig lagern sich mehrere dieser Ketten zu größeren Strukturen und Funktionseinheiten, sogenannten Proteinkomplexen,
zusammen. Kürzlich wurde gezeigt, dass eine Proteinkomplexbildung bereits während der Biosynthese der Proteine (co-translational) stattfinden kann
und nicht stets erst danach (post-translational) erfolgt. Da Fehlassemblierungen von Proteinen zu Funktionsverlusten und adversen Effekten führen, ist eine präzise und verlässliche Proteinkomplexbildung sowohl für zelluläre Prozesse als auch für biotechnologische Anwendungen essenziell. Mit experimentellen Methoden lassen sich zwar u.a. die Stöchiometrie und die Struktur von Proteinkomplexen bestimmen,
jedoch bisher nicht die Dynamik der Komplexbildung auf unterschiedlichen Zeitskalen. Daher sind grundlegende Mechanismen der Proteinkomplexbildung noch nicht vollständig verstanden. Die hier vorgestellte, auf experimentellen Erkenntnissen aufbauende, computergestützte Modellierung der Proteinkomplexbildung erlaubt eine umfassende Analyse des Einflusses physikalisch-chemischer Parameter
auf den Assemblierungsprozess. Die Modelle bilden möglichst realistisch die experimentellen Systeme der Kooperationspartner (Bar-Ziv, Weizmann-Institut, Israel; Bukau und Kramer, Universität Heidelberg) ab, um damit die Assemblierung von Proteinkomplexen einerseits in einem quasi-zweidimensionalen synthetischen Expressionssystem (in vitro) und andererseits im Bakterium Escherichia coli (in vivo) untersuchen zu können. Mit Hilfe eines vereinfachten Expressionssystems, in dem die Proteine nur an die Chip-Oberfläche, aber nicht aneinander binden können, wird das theoretische Modell parametrisiert. In diesem vereinfachten in-vitro-System durchläuft die Effizienz der Komplexbildung drei Regime – ein bindedominiertes Regime, ein Mischregime und ein produktionsdominiertes Regime. Ihr Maximum erreicht die Effizienz dabei kurz nach dem Übergang vom bindedominierten ins Mischregime und fällt anschließend monoton ab. Sowohl im nicht-vereinfachten in-vitro- als auch im in-vivo-System koexistieren je zwei konkurrierende Assemblierungspfade: Im in-vitro-System erfolgt die Komplexbildung entweder spontan in wässriger Lösung (Lösungsassemblierung) oder aber in einer definierten Schrittfolge an der Chip-Oberfläche (Oberflächenassemblierung); Im in-vivo-System konkurrieren hingegen die co- und die post-translationale Komplexbildung. Es zeigt sich, dass die Dominanz der Assemblierungspfade im in-vitro-System zeitabhängig ist und u.a. durch die Limitierung und Stärke der Bindestellen auf der Chip-Oberfläche beeinflusst werden kann. Im in-vivo-System hat der räumliche Abstand zwischen den Syntheseorten der beiden Proteinkomponenten nur dann einen Einfluss auf die Komplexbildung, wenn die Untereinheiten schnell degradieren. In diesem Fall dominiert die co-translationale Assemblierung auch auf kurzen Zeitskalen deutlich, wohingegen es bei stabilen Untereinheiten zu einem Wechsel von der Dominanz der post- hin zu einer geringen Dominanz der co-translationalen Assemblierung kommt. Mit den in-silico-Modellen lässt sich neben der Dynamik u.a. auch die Lokalisierung der Komplexbildung und -bindung darstellen, was einen Vergleich der theoretischen Vorhersagen mit experimentellen Daten und somit eine Validierung der Modelle ermöglicht. Der hier präsentierte in-silico Ansatz ergänzt die experimentellen Methoden, und erlaubt so, deren Ergebnisse zu interpretieren und neue Erkenntnisse davon abzuleiten.
This paper examines the function that cross-cultural competence (3C) has for NATO in a military context while focusing on two member states and their armed forces: the United States and Germany. Three dimensions were established to analyze 3C internally and externally: dimension A, dealing with 3C within the military organization; dimension B, focusing on 3C in a coalition environment/multicultural NATO contingent, for example while on a mission/training exercise abroad; and dimension C, covering 3C and NATO missions abroad with regard to interaction with the local population.
When developing the research design, the cultural studies-based theory of hegemony constructed by Antonio Gramsci was applied to a comprehensive document analysis of 3C coursework and regulations as well as official documents in order to establish a typification for cross-cultural competence.
As the result, 3C could be categorized as Type I – Ethical 3C, Type II – Hegemonic 3C, and Type III – Dominant 3C. Attributes were assigned according to each type. To validate the established typification, qualitative surveys were conducted with NATO (ACT), the U.S. Armed Forces (USCENTCOM), and the German Armed Forces (BMVg). These interviews validated the typification and revealed a varied approach to 3C in the established dimensions. It became evident that dimensions A and B indicated a prevalence of Type III, which greatly impacts the work atmosphere and effectiveness for NATO (ACT). In contrast, dimension C revealed the use of postcolonial mechanisms by NATO forces, such as applying one’s value systems to other cultures and having the appearance of an occupying force when 3C is not applied (Type I-II). In general, the function of each 3C type in the various dimensions could be determined.
In addition, a comparative study of the document analysis and the qualitative surveys resulted in a canon for culture-general skills. Regarding the determined lack of coherence in 3C correlating with a demonstrably negative impact on effectiveness and efficiency as well as interoperability, a NATO standard in the form of a standardization agreement (STANAG) was suggested based on the aforementioned findings, with a focus on: empathy, cross-cultural awareness, communication skills (including active listening), flexibility and adaptability, and interest. Moreover, tolerance of ambiguity and teachability, patience, observation skills, and perspective-taking could be considered significant. Suspending judgment and respect are also relevant skills here.
At the same time, the document analysis also revealed a lack of coherency and consistency in 3C education and interorganizational alignment. In particular, the documents examined for the U.S. Forces indicated divergent approaches. Furthermore, the interview analysis disclosed a large discrepancy in part between doctrine and actual implementation with regard to the NATO Forces.
Hydraulic-driven fractures play a key role in subsurface energy technologies across several scales. By injecting fluid at high hydraulic pressure into rock with intrinsic low permeability, in-situ stress field and fracture development pattern can be characterised as well as rock permeability can be enhanced. Hydraulic fracturing is a commercial standard procedure for enhanced oil and gas production of rock reservoirs with low permeability in petroleum industry. However, in EGS utilization, a major geological concern is the unsolicited generation of earthquakes due to fault reactivation, referred to as induced seismicity, with a magnitude large enough to be felt on the surface or to damage facilities and buildings. Furthermore, reliable interpretation of hydraulic fracturing tests for stress measurement is a great challenge for the energy technologies. Therefore, in this cumulative doctoral thesis the following research questions are investigated. (1): How do hydraulic fractures grow in hard rock at various scales?; (2): Which parameters control hydraulic fracturing and hydro-mechanical coupling?; and (3): How can hydraulic fracturing in hard rock be modelled?
In the laboratory scale study, several laboratory hydraulic fracturing experiments are investigated numerically using Irazu2D that were performed on intact cubic Pocheon granite samples from South Korea applying different injection protocols. The goal of the laboratory experiments is to test the concept of cyclic soft stimulation which may enable sustainable permeability enhancement (Publication 1).
In the borehole scale study, hydraulic fracturing tests are reported that were performed in boreholes located in central Hungary to determine the in-situ stress for a geological site investigation. At depth of about 540 m, the recorded pressure versus time curves in mica schist with low dip angle foliation show atypical evolution. In order to provide explanation for this observation, a series of discrete element computations using Particle Flow Code 2D are performed (Publication 2).
In the reservoir scale study, the hydro-mechanical behaviour of fractured crystalline rock due to one of the five hydraulic stimulations at the Pohang Enhanced Geothermal site in South Korea is studied. Fluid pressure perturbation at faults of several hundred-meter lengths during hydraulic stimulation is simulated using FracMan (Publication 3).
The doctoral research shows that the resulting hydraulic fracturing geometry will depend “locally”, i.e. at the length scale of representative elementary volume (REV) and below that (sub-REV), on the geometry and strength of natural fractures, and “globally”, i.e. at super-REV domain volume, on far-field stresses. Regarding hydro-mechanical coupling, it is suggested to define separate coupling relationship for intact rock mass and natural fractures. Furthermore, the relative importance of parameters affecting the magnitude of formation breakdown pressure, a parameter characterising hydro-mechanical coupling, is defined. It can be also concluded that there is a clear gap between the capacity of the simulation software and the complexity of the studied problems. Therefore, the computational time of the simulation of complex hydraulic fracture geometries must be reduced while maintaining high fidelity simulation results. This can be achieved either by extending the computational resources via parallelization techniques or using time scaling techniques. The ongoing development of used numerical models focuses on tackling these methodological challenges.
Im Rahmen dieser Dissertation wurde der Sauerstoff im Grundgerüst der [1,3]-Dioxolo[4.5-f]benzodioxol-Fluoreszenzfarbstoffe (DBD-Fluoreszenzfarbstoffe) vollständig mit Schwefel ausgetauscht und daraus eine neue Klasse von Fluoreszenzfarbstoffen entwickelt, die Benzo[1,2-d:4,5-d']bis([1,3]dithiol)-Fluorophore (S4-DBD-Fluorophore). Insgesamt neun der besonders interessanten, difunktionalisierten Vertreter konnten synthetisiert werden, die sich in ihren elektronenziehenden Gruppen und in ihrer Anordnung unterschieden.
Durch den Austausch von Sauerstoff mit Schwefel kam es zu teilweise auffälligen Veränderungen in den Fluoreszenzparametern, wie eine Abnahme der Fluoreszenzquantenausbeuten und -lebenszeiten aber auch eine deutliche Rotverschiebung in den Absorptions- und Emissionswellenlängen mit großen STOKES-Verschiebungen. Damit sind die S4-DBD-Fluorophore eine wertvolle Ergänzung für die DBD-Farbstoffe.
Die Ursachen für die Abnahme der Lebenszeiten und Quantenausbeuten konnte auf eine hohe Besetzung des Triplett-Zustandes zurückgeführt werden, welcher durch die verstärkten Spin-Bahn-Kopplungen des Schwefels hervorgerufen wird. Zusammen mit dem Arbeitskreis physikalische Chemie der Universität Potsdam konnten auch die photophysikalischen Prozesse über die Transienten-Absorptionsspektroskopie (TAS) aufgeklärt werden.
Eine Strategie zur Funktionalisierung der S4-DBD-Farbstoffe am Thioacetalgerüst konnte entwickelt werden. So gelang es Alkohol-, Propargyl-, Azid-, NHS-Ester-, Carbonsäure-, Maleimid- und Tosyl-Gruppen an S4-DBD-Dialdehyden anzubringen.
Erweiternd wurden molekulare Stäbe auf Basis von Schwefel-Oligo-Spiro-Ketalen (SOSKs) untersucht, bei denen Sauerstoff durch Schwefel ersetzt wurde. Hier konnten die Synthesen der löslichkeitsvermittelnden TER-Muffe und auch des Tetrathiapentaerythritols als Grundbaustein deutlich verbessert werden. Aus diesen konnte ein einfaches SOSK-Polymer hergestellt werden. Weitere Versuche zum Aufbau eines Stabes müssen aber noch untersucht werden. Um einen S-OSK-Stab aufzubauen hat sich dabei die Dithiocarbonat-Gruppe in ersten Versuchen als potenzielle geeignete Schutzgruppe für das Tetrathiapentaerythritol herausgestellt.
Bio-sourced adsorbing poly(2-oxazoline)s mimicking mussel glue proteins for antifouling applications
(2022)
Nature developed countless systems for many applications. In maritime environments, several organisms established extra-ordinary mechanisms to attach to surfaces. Over the past years, the scientific interest to employ those mechanisms for coatings and long-lasting adhering materials gained significant attention.
This work describes the synthesis of bio-inspired adsorbing copoly(2-oxazoline)s for surface coatings with protein repelling effects, mimicking mussel glue proteins. From a set of methoxy substituted phenyl, benzyl, and cinnamyl acids, 2-oxazoline monomers were synthesized. All synthesized 2-oxazolines were analyzed by FT-IR spectroscopy, NMR spectroscopy, and EI mass spectrometry. With those newly synthesized 2-oxazoline monomers and 2-ethyl-2-oxazoline, kinetic studies concerning homo- and copolymerization in a microwave reactor were conducted. The success of the polymerization reactions was demonstrated by FT-IR spectroscopy, NMR spectroscopy, MALDI-TOF mass spectrometry, and size exclusion chromatography (SEC). The copolymerization of 2-ethyl-2-oxazoline with a selection of methoxy-substituted 2-oxazolines resulted in water-soluble copolymers. To release the adsorbing catechol and cationic units, the copoly(2-oxazoline)s were modified. The catechol units were (partially) released by a methyl aryl ether cleavage reaction. A subsequent partial acidic hydrolysis of the ethyl unit resulted in mussel glue protein-inspired catechol and cation-containing copolymers. The modified copolymers were analyzed by NMR spectroscopy, UV-VIS spectroscopy, and SEC. The catechol- and cation-containing copolymers and their precursors were examined by a Quartz Crystal Microbalance with Dissipation (QCM-D), so study the adsorption performance on gold, borosilicate, iron, and polystyrene surfaces. An exemplary study revealed that a catechol and cation-containing copoly(2-oxazoline)-coated gold surface exhibits strong protein repelling properties.
Die vorliegende Arbeit vertritt die These, dass Hegels Wissenschaft der Logik mit einer Konzeption von Absolutheit Ernst zu machen versucht, nach der es kein Außerhalb des Absoluten geben kann. Dies macht sich bereits im Anfang der Logik bemerkbar: Wenn es nichts außerhalb des Absoluten geben kann, dann darf auch der Anfang nicht außerhalb des Absoluten sein. Folglich kann der Anfang nur mit dem Absoluten gemacht werden. Das Setzen des Anfangs als absolut ist aber gleichzeitig ein Testen des Anfangs auf seine Absolutheit. Diese Prüfung kann der Anfang nicht bestehen. Denn es liegt im Wesen eines Anfangs, nur Anfang und nicht das Ganze und somit nicht das Absolute zu sein. Der Anfang ist am weitesten davon entfernt, das Ganze zu sein, und muss folglich als das Nicht-Absoluteste innerhalb der Logik betrachtet werden. Also ist er beides: Er ist ein Anfang mit dem Absoluten und er ist ein Anfang mit dem Nicht-Absolutesten. Die Logik widerspricht sich bereits in ihrem Anfang. Von diesem Widerspruch muss sie sich befreien. Diese Befreiung treibt den Gang vom Anfang fort. Dies erzeugt den Fortgang der Logik. Die anfängliche Bestimmung hebt sich auf und geht in ihre Folgebestimmung über. Die Folgebestimmung wird ihrerseits absolut gesetzt, kann dieser Setzung aber ebenfalls nicht gerecht werden und hebt sich in ihre Folgebestimmung auf. Eine jede Bestimmung, die auf den Anfang folgt, durchläuft diese Bewegung des Absolutsetzens, Daran-Scheiterns und Sich-Aufhebens, bis – ganz am Ende der Logik – ebendiese Bewegung als dasjenige erkannt wird, was allein vermögend ist, dem Anspruch auf Absolutheit zu genügen. Denn wenn eine jede Bestimmung dieser Bewegung unterworfen ist, dann gibt es kein Außerhalb zu dieser Bewegung. Und also muss sie das gesuchte Absolute sein.
Auf ihrem Weg hin zur wahren Bedeutung des Absoluten kehrt die Logik immer wieder in die Bestimmung ihres Anfangs zurück, um Voraussetzungen einzuholen, die in Zusammenhang mit ihrem Anfang gemacht werden mussten. Für das Einholen dieser Voraussetzungen werden folgende Textstellen von Interesse sein: der Übergang in die Wesenslogik, der Übergang in die Begriffslogik und das Schlusskapitel. Denn auch zuallerletzt, in ihrem Ende kehrt die Logik in ihren Anfang zurück. Entsprechend kann mit Hegel gesagt werden: Das Erste ist auch das Letzte und das Letzte ist auch das Erste.