Analysis and numerical solution of the Peterlin viscoelastic model

Liquids and gasses form a vital part of nature. Many of these are complex fluids with non-Newtonian behaviour. We introduce a mathematical model describing the unsteady motion of an incompressible polymeric fluid. Each polymer molecule is treated as two beads connected by a spring. For the nonlinear spring force it is not possible to obtain a closed system of equations, unless we approximate the force law. The Peterlin approximation replaces the length of the spring by the length of the average spring. Consequently, the macroscopic dumbbell-based model for dilute polymer solutions is obtained. The model consists of the conservation of mass and momentum and time evolution of the symmetric positive definite conformation tensor, where the diffusive effects are taken into account. In two space dimensions we prove global in time existence of weak solutions. Assuming more regular data we show higher regularity and consequently uniqueness of the weak solution. For the Oseen-type Peterlin model we propose a linear pressure-stabilized characteristics finite element scheme. We derive the corresponding error estimates and we prove, for linear finite elements, the optimal first order accuracy. Theoretical error of the pressure-stabilized characteristic finite element scheme is confirmed by a series of numerical experiments.

Complex tracer mobilities in polymer networks revealed by fluorescence correlation spectroscopy

Gels are elastic porous polymer networks that are accompanied by pronounced mechanical properties. Due to their biocompatibility, ‘responsive hydrogels’ (HG) have many biomedical applications ranging from biosensors and drug delivery to tissue engineering. They respond to external stimuli such as temperature and salt by changing their dimensions. Of paramount importance is the ability to engineer penetrability and diffusion of interacting molecules in the crowded HG environment, as this would enable one to optimize a specific functionality. Even though the conditions under which biomedical devices operate are rather complex, a bottom-up approach could reduce the complexity of mutually coupled parameters influencing tracer mobility. The present thesis focuses on the interaction-induced tracer diffusion in polymer solutions and their homologous gels, probed by means of Fluorescence Correlation Spectroscopy (FCS). This is a single-molecule-sensitive technique having the advantage of optimal performance under ultralow tracer concentrations, typically employed in biosensors. Two different types of hydrogels have been investigated, a conventional one with broad polydispersity in the distance between crosslink points and a so-called ‘ideal’, with uniform mesh size distribution. The former is based on a thermoresponsive polymer, exhibiting phase separation in water at temperatures close to the human body temperature. The latter represents an optimal platform to study tracer diffusion. Mobilities of different tracers have been investigated in each network, varying in size, geometry and in terms of tracer-polymer attractive strength, as perturbed by different stimuli. The thesis constitutes a systematic effort towards elucidating the role of the strength and nature of different tracer-polymer interactions, on tracer mobilities; it outlines that interactions can still be very important even in the simplified case of dilute polymer solutions; it also demonstrates that the presence of permanent crosslinks exerts distinct tracer slowdown, depending on the tracer type and the nature of the tracer-polymer interactions, expressed differently by each tracer with regard to the selected stimulus. In aqueous polymer solutions, the tracer slowdown is found to be system-dependent and no universal trend seems to hold, in contrast to predictions from scaling theory for non-interacting nanoparticle mobility and empirical relations concerning the mesh size in polymer solutions. Complex tracer dynamics in polymer networks may be distinctly expressed by FCS, depending on the specific synergy among-at least some of - the following parameters: nature of interactions, external stimuli employed, tracer size and type, crosslink density and swelling ratio.

Computersimulationen zur Dynamik von verdünnten und halbverdünnten Polymerlösungen

Diese Arbeit legt eine neue Methode zur Simulation derDynamik vonPolymeren in verdünnter und halbverdünnterLösung vor. Die Effizienz der Methode und derAnstieg der Computerleistung in den letzten Jahren erlaubenes, weitaus komplexere Systeme als bisher zu betrachten.Die neue Methode modelliert die Polymere als Kugel-Feder-Ketten, die mittels Molekulardynamik simuliertwerden. Die Flüssigkeit wird durch die numerischeLösung der Kontinuitätsgleichungund der Navier-Stokes-Gleichung mit derLattice-Boltzmann-Methodemodelliert. Die Flüssigkeit wird über eineReibungskraft an die Monomere des Kugel-Feder-Modellsgekoppelt. Die Methode wird auf das Problem einer flexiblen EinzelketteimLösungsmittel angewendet. Der Vergleich derErgebnisse mit einer existierenden reinenMolekulardynamik-Simulationergibt Übereinstimmung innerhalb weniger Prozent,während die neueMethode um etwa einen Faktor 20 weniger CPU-Zeitbenötigt. Eine semiflexible Kette zeigt völliganderes Verhalten: Die Hydrodynamik spielt im Gegensatz zur flexiblen Ketteeineuntergeordnete Rolle. Simulationen von halbverdünntenLösungen flexibler Kettenbestehend aus insgesamt 50000 Monomeren zeigen zum erstenMal direkt dieAbschirmung sowohl der Volumenausschluss-Wechselwirkung alsauch derHydrodynamik.

Functional hydrogels

Hydrogels are used in a variety of applications in daily life, such as super absorbers, contact lenses and in drug delivery. Functional hydrogels that allow the incorporation of additional functionalities have enormous potential for future development. The properties of such hydrogels can be diversified by introducing responsiveness to external stimuli. These crosslinked polymers are known to respond to changes in temperature, pH and pressure, as well as chemical and electrical stimuli, magnetic fields and irradiation. From this responsive behavior possible applications arise in many fields like drug delivery, tissue engineering, purification and implementation as actuators, biosensors or for medical coatings. However, their interaction with biomaterial and way of functioning are yet not fully understood. Therefore, thorough investigations regarding their optical, mechanical and chemical nature have to be conducted. A UV-crosslinkable polymer, consisting of N-isopropylacrylamide, methacrylic acid and the UV-crosslinker 4-benzoylphenyl methacrylate was synthesized. Its composition, determined by a comprehensive NMR study, is equivalent to the composition of the monomer mixture. The chemical characteristics were preserved during the subsequently formation of hydrogel films by photo-crosslinking as proved by XPS. For the optical characterization, e.g. the degree of swelling of very thin films, the spectroscopy of coupled long range surface plasmons is introduced. Thicker films, able to guide light waves were analyzed with combined surface plasmon and optical waveguide mode spectroscopy (SPR/OWS). The evaluation of the data was facilitated by the reverse Wentzel-Kramers-Brillouin (WKB) approximation. The meshsize and proper motion of the surface anchored hydrogels were investigated by fluorescence correlation spectroscopy (FCS), micro photon correlation spectroscopy (µPCS) and SPR/OWS. The studied gels exhibit a meshsize that allowed for the diffusion of small biomolecules inside their network. For future enhancement of probing diffusants, a dye that enables FRET in FCS was immobilized in the gel and the diffusion of gold-nanoparticles embedded in the polymer solution was studied by PCS. These properties can be conveniently tuned by the crosslinking density, which depends on the irradiation dose. Additionally, protocols and components for polymer analogous reactions based on active ester chemistry of the hydrogel were developed. Based on these syntheses and investigations, the hydrogel films are applied in the fields of medical coatings as well as in biosensing as matrix and biomimetic cushion. Their non-adhesive properties were proved in cell experiments, SPR/OWS and ToF-SIMS studies. The functionality and non-fouling property of the prepared hydrogels allowed for adaption to the needs of the respective application.

Patterns in and kinetics of phase separation in binary mixtures

This work focused mainly on two aspects of kinetics of phase separation in binary mixtures. In the first part, we studied the interplay of hydrodynamics and the phase separation of binary mixtures. A considerably flat container (a laterally extended geometry), at an aspect ratio of 14:1 (diameter: height) was chosen, so that any hydrodynamic instabilities, if they arise, could be tracked. Two binary mixtures were studied. One was a mixture of methanol and hexane, doped with 5% ethanol, which phase separated under cooling. The second was a mixture of butoxyethanol and water, doped with 2% decane, which phase separated under heating. The dopants were added to bring down the phase transition temperature around room temperature.rnrnAlthough much work has been done already on classical hydrodynamic instabilities, not much has been done in the understanding of the coupling between phase separation and hydrodynamic instabilities. This work aimed at understanding the influence of phase separation in initiating any hydrodynamic instability, and also vice versa. Another aim was to understand the influence of the applied temperature protocol on the emergence of patterns characteristic to hydrodynamic instabilities. rnrnOn slowly cooling the system continuously, at specific cooling rates, patterns were observed in the first mixture, at the start of phase separation. They resembled the patterns observed in classical Rayleigh-Bénard instability, which arises when a liquid continuously is heated from below. To suppress this classical convection, the cooling setup was tuned such that the lower side of the sample always remained cooler by a few millikelvins, relative to the top. We found that the nature of patterns changed with different cooling rates, with stable patterns appearing for a specific cooling rate (1K/h). On the basis of the cooling protocol, we estimated a modified Rayleigh number for our system. We found that the estimated modified Rayleigh number is near the critical value for instability, for cooling rates between 0.5K/h and 1K/h. This is consistent with our experimental findings. rnrnThe origin of the patterns, in spite of the lower side being relatively colder with respect to the top, points to two possible reasons. 1) During phase separation droplets of either phases are formed, which releases a latent heat. Our microcalorimetry measurements show that the rise in temperature during the first phase separation is in the order of 10-20millikelvins, which in some cases is enough to reverse the applied temperature bias. Thus phase separation in itself initiates a hydrodynamic instability. 2) The second reason comes from the cooling protocol itself. The sample was cooled from above and below. At sufficiently high cooling rates, there are situations where the interior of the sample is relatively hotter than both top and bottom of the sample. This is sufficient to create an instability within the cell. Our experiments at higher cooling rates (5K/h and above) show complex patterns, which hints that there is enough convection even before phase separation occurs. Infact, theoretical work done by Dr.Hayase show that patterns could arise in a system without latent heat, with symmetrical cooling from top and bottom. The simulations also show that the patterns do not span the entire height of the sample cell. This is again consistent with the cell sizes measured in our experiment.rnrnThe second mixture also showed patterns at specific heating rates, when it was continuously heated inducing phase separation. In this case though, the sample was turbid for a long time until patterns appeared. A meniscus was most probably formed before the patterns emerged. We attribute the reason of patterns in this case to Marangoni convection, which is present in systems with an interface, where local differences in surface tension give rise to an instability. Our estimates for the Rayleigh number also show a significantly lower number than that's required for RB-type instability.rnrnIn the first part of the work, therefore, we identify two different kinds of hydrodynamic instabilities in two different mixtures. Both are observed during, or after the first phase separation. Our patterns compare with the classical convection patterns, but here the origins are from phase separation and the cooling protocol.rnrnIn the second part of the work, we focused on the kinetics of phase separation in a polymer solution (polystyrene and methylcyclohexane), which is cooled continuously far down into the two phase region. Oscillations in turbidity, denoting material exchange between the phases are seen. Three processes contribute to the phase separation: Nucleation of droplets, their growth and coalescence, and their subsequent sedimentation. Experiments in low molecular binary mixtures had led to models of oscillation [43] which considered sedimentation time scales much faster than the time scales of nucleation and growth. The size and shape of the sample therefore did not matter in such situations. The oscillations in turbidity were volume-dominated. The present work aimed at understanding the influence of sedimentation time scales for polymer mixtures. Three heights of the sample with same composition were studied side by side. We found that periods increased with the sample height, thus showing that sedimentation time determines the period of oscillations in the polymer solutions. We experimented with different cooling rates and different compositions of the mixture, and we found that periods are still determined by the sample height, and therefore by sedimentation time. rnrnWe also see that turbidity emerges in two ways; either from the interface, or throughout the sample. We suggest that oscillations starting from the interface are due to satellite droplets that are formed on droplet coalescence at the interface. These satellite droplets are then advected to the top of the sample, and they grow, coalesce and sediment. This type of an oscillation wouldn't require the system to pass the energy barrier required for homogenous nucleation throughout the sample. This mechanism would work best in sample where the droplets could be effectively advected throughout the sample. In our experiments, we see more interface dominated oscillations in the smaller cells and lower cooling rates, where droplet advection is favourable. In larger samples and higher cooling rates, we mostly see that the whole sample becomes turbid homogenously, which requires the system to pass the energy barrier for homogenous nucleation.rnrnOscillations, in principle, occur since the system needs to pass an energy barrier for nucleation. The height of the barrier decreases with increasing supersaturation, which in turn is from the temperature ramp applied. This gives rise to a period where the system is clear, in between the turbid periods. At certain specific cooling rates, the system can follow a path such that the start of a turbid period coincides with the vanishing of the last turbid period, thus eliminating the clear periods. This means suppressions of oscillations altogether. In fact we experimentally present a case where, at a certain cooling rate, oscillations indeed vanish. rnrnThus we find through this work that the kinetics of phase separation in polymer solution is different from that of a low molecular system; sedimentation time scales become relevant, and therefore so does the shape and size of the sample. The role of interface in initiating turbid periods also become much more prominent in this system compared to that in low molecular mixtures.rnrnIn summary, some fundamental properties in the kinetics of phase separation in binary mixtures were studied. While the first part of the work described the close interplay of the first phase separation with hydrodynamic instabilities, the second part investigated the nature and determining factors of oscillations, when the system was cooled deep into the two phase region. Both cases show how the geometry of the cell can affect the kinetics of phase separation. This study leads to further fundamental understandings of the factors contributing to the kinetics of phase separation, and to the understandings of what can be controlled and tuned in practical cases. rn

Liquid crystalline oligofluorenes and their derivatives

Homo-oligofluorenes (OFn), polyfluorenes (PF2/6) and oligofluorenes with one fluorenenone group in the center (OFnK) were synthesized. They were used as model compounds to understand of the structure-property relationships of polyfluorenes and the origin of the green emission in the photoluminescence (after photooxidation of the PFs) and the electroluminescence (EL) spectra. The electronic, electrochemical properties, thermal behavior, supramolecular self-assembly, and photophysical properties of OFn, PF2/6 and OFnK were investigated. Oligofluorenes with 2-ethylhexyl side chain (OF2-OF7) from the dimer up to the heptamer were prepared by a series of stepwise transition metal mediated Suzuki and Yamamoto coupling reactions. Polyfluorene was synthesized by Yamamoto coupling of 2,7-dibromo-9,9-bis(2-ethylhexyl)fluorene. Oligofluorenes with one fluorenone group in the center (OF3K, OF5K, OF7K) were prepared by Suzuki coupling between the monoboronic fluorenyl monomer, dimer, trimer and 2, 7-dibromofluorenone. The electrochemical and electronic properties of homo-oligofluorenes (OFn) were systematically studied by several combined techniques such as cyclic voltammetry, differential pulse voltammetry, UV-vis absorption spectroscopy, steady and time-resolved fluorescence spectroscopy. It was found that the oligofluorenes behave like classical conjugated oligomers, i.e., with the increase of the chain-length, the corresponding oxidation potential, the absorption and emission maximum, ionization potential, electron affinity, band gap and the photoluminescence lifetime displayed a very good linear relation with the reciprocal number of the fluorene units (1/n). The extrapolation of these linear relations to infinite chain length predicted the electrochemical and electronic properties of the corresponding polyfluorenes. The thermal behavior, single-crystal structure and supramolecular packing, alignment properties, and molecular dynamics of the homo-oligofluorenes (OFn) up to the polymer were studied using techniques such as TGA, DSC, WAXS, POM and DS. The OFn from tetramer to heptamer show a smectic liquid crystalline phase with clearly defined isotropization temperature. The oligomers do show a glass transition which exhibits n-1 dependence and allows extrapolation to a hypothetical glass transition of the polymer at around 64 °C. A smectic packing and helix-like conformation for the oligofluorenes from tetramer to heptamer was supported by WAXS experiments, simulation, and single-crystal structure of some oligofluorene derivatives. Oligofluorenes were aligned more easily than the corresponding polymer, and the alignability increased with the molecular length from tetramer to heptamer. The molecular dynamics in a series of oligofluorenes up to the polymer was studied using dielectric spectroscopy. The photophysical properties of OFn and PF2/6 were investigated by the steady-state spectra (UV-vis absorption and fluorescence spectra) and time-resolved fluorescence spectra both in solution and thin film. The time-resolved fluorescence spectra of the oligofluorenes were measured by streak camera and gate detection technique. The lifetime of the oligofluorenes decreased with the extension of the chain-length. No green emission was observed in CW, prompt and delayed fluorescence for oligofluorenes in m-THF and film at RT and 77K. Phosphorescence was observed for oligofluorenes in frozen dilute m-THF solution at 77K and its lifetime increased with length of oligofluorenes. A linear relation was obtained for triplet energy and singlet energy as a function of the reciprocal degree of polymerization, and the singlet-triplet energy gap (S1-T1) was found to decrease with the increase of degree of polymerization. Oligofluorenes with one fluorenone unit at the center were used as model compounds to understand the origin of the low-energy (“green”) emission band in the photoluminescence and electroluminescence spectra of polyfluorenes. Their electrochemical properties were investigated by CV, and the ionization potential (Ip) and electron affinity (Ea) were calculated from the onset of oxidation and reduction of OFnK. The photophysical properties of OFnK were studied in dilute solution and thin film by steady-state spectra and time-resolved fluorescence spectra. A strong green emission accompanied with a weak blue emission were obtained in solution and only green emission was observed on film. The strong green emission of OFnK suggested that rapid energy transfer takes place from higher energy sites (fluorene segments) to lower energy sites (fluorenone unit) prior to the radiative decay of the excited species. The fluorescence spectra of OFnK also showed solvatochromism. Monoexponential decay behaviour was observed by time-resolved fluorescence measurements. In addition, the site-selective excitation and concentration dependence of the fluorescence spectra were investigated. The ratio of green and blue emission band intensities increases with the increase of the concentration. The observed strong concentration dependence of the green emission band in solution suggests that increased interchain interactions among the fluorenone-containing oligofluorene chain enhanced the emission from the fluorenone defects at higher concentration. On the other hand, the mono-exponential decay behaviour and power dependence were not influenced significantly by the concentration. We have ruled out the possibility that the green emission band originates from aggregates or excimer formation. Energy transfer was further investigated using a model system of a polyfluorene doped by OFnK. Förster-type energy transfer took place from PF2/6 to OFnK, and the energy transfer efficiency increased with increasing of the concentration of OFnK. Efficient funneling of excitation energy from the high-energy fluorene segments to the low-energy fluorenone defects results from energy migration by hopping of excitations along a single polymer chain until they are trapped on the fluorenone defects on that chain or transferred onto neighbouring chains by Förster-type interchain energy transfer process. These results imply that the red-shifted emission in polyfluorenes can originate from (usually undesirable) keto groups at the bridging carbon atoms-especially if the samples have been subject to photo- or electro-oxidation or if fluorenone units are present due to an improper purification of the monomers prior to polymerization.

Polymer controlled mineralization of zinc phosphate hydrates and applications in corrosion protection, catalysis and biomedicine

ZUSAMMENFASSUNG Die Tauglichkeit von Hybridmaterialien auf der Basis von Zinkphosphathydrat-Zementen zum Einsatz als korrosionshemmende anorganische Pigmente oder zur prothetischen und konservierenden Knochen- und Zahntherapie wird weltweit empirisch seit den neunziger Jahren intensiv erforscht. In der vorliegenden Arbeit wurden zuerst Referenzproben, d.h. alpha-und beta-Hopeite (Abk. a-,b-ZPT) dank eines hydrothermalen Kristallisationsverfahrens in wässerigem Milieu bei 20°C und 90°C hergestellt. Die Kristallstruktur beider Polymorphe des Zinkphosphattetrahydrats Zn3(PO4)2  4 H2O wurde komplett bestimmt. Einkristall-strukturanalyse zeigt, daß der Hauptunterschied zwischen der alpha-und beta-Form des Zinkphosphattetrahydrats in zwei verschiedenen Anordnungen der Wasserstoffbrücken liegt. Die entsprechenden drei- und zweidimensionalen Anordnungen der Wasserstoffbrücken der a-und b-ZPT induzieren jeweils unterschiedliches thermisches Verhalten beim Aufwärmen. Während die alpha-Form ihr Kristallwasser in zwei definierten Stufen verliert, erzeugt die beta-Form instabile Dehydratationsprodukt. Dieses entspricht zwei unabhängigen, aber nebeneinander ablaufenden Dehydratationsmechanismen: (i) bei niedrigen Heizraten einen zweidimensionalen Johnson-Mehl-Avrami (JMA) Mechanismus auf der (011) Ebene, der einerseits bevorzugt an Kristallkanten stattfindet und anderseits von existierenden Kristalldefekten auf Oberflächen gesteuert wird; (ii) bei hohen Heizraten einem zweidimensionalen Diffusionsmechanismus (D2), der zuerst auf der (101) Ebene und dann auf der (110) Ebene erfolgt. Durch die Betrachtung der ZPT Dehydratation als irreversibele heterogene Festkörperstufenreaktion wurde dank eines „ähnlichen Endprodukt“-Protokolls das Dehydratationsphasendiagramm aufgestellt. Es beschreibt die möglichen Zusammenhänge zwischen den verschiedenen Hydratationszuständen und weist auf die Existenz eines Übergangszustandes um 170°C (d.h. Reaktion b-ZPT  a-ZPT) hin. Daneben wurde auch ein gezieltes chemisches Ätzverfahren mit verdünnten H3PO4- und NH3 Lösungen angewendet, um die ersten Stufe des Herauslösens von Zinkphosphat genau zu untersuchen. Allerdings zeigen alpha- und beta-Hopeite charakteristische hexagonale und kubische Ätzgruben, die sich unter kristallographischer Kontrolle verbreitern. Eine zuverlässige Beschreibung der Oberfächenchemie und Topologie konnte nur durch AFM und FFM Experimente erfolgen. Gleichzeitig konnte in dieser Weise die Oberflächendefektdichte und-verteilung und die Volumenauflösungsrate von a-ZPT und b-ZPT bestimmt werden. Auf einem zweiten Weg wurde eine innovative Strategie zur Herstellung von basischen Zinkphosphatpigmenten erster und zweiter Generation (d.h. NaZnPO4  1H2O und Na2ZnPO4(OH)  2H2O) mit dem Einsatz von einerseits oberflächenmodifizierten Polystyrolatices (z.B. produziert durch ein Miniemulsionspolymerisationsverfahren) und anderseits von Dendrimeren auf der Basis von Polyamidoamid (PAMAM) beschritten. Die erhaltene Zeolithstruktur (ZPO) hat in Abhängigkeit von steigendem Natrium und Wassergehalt unterschiedliche kontrollierte Morphologie: hexagonal, würfelförmig, herzförmig, sechsarmige Sterne, lanzettenförmige Dendrite, usw. Zur quantitativen Evaluierung des Polymereinbaus in der Kristallstruktur wurden carboxylierte fluoreszenzmarkierte Latices eingesetzt. Es zeigt sich, daß Polymeradditive nicht nur das Wachstum bis zu 8 µm.min-1 reduzierten. Trotzdem scheint es auch als starker Nukleationsbeschleuniger zu wirken. Dank der Koordinationschemie (d.h. Bildung eines sechszentrigen Komplexes L-COO-Zn-PO4*H2O mit Ligandenaustausch) konnten zwei einfache Mechanismen zur Wirkung von Latexpartikeln bei der ZPO Kristallisation aufgezeigt werden: (i) ein Intrakorona- und (ii) ein Extrakorona-Keimbildungsmechanismus. Weiterhin wurde die Effizienz eines Kurzzeit- und Langzeitkorrosionschutzes durch maßgeschneiderte ZPO/ZPT Pigmente und kontrollierte Freisetzung von Phosphationen in zwei Näherungen des Auslösungsgleichgewichts abgeschätzt: (i) durch eine Auswaschungs-methode (thermodynamischer Prozess) und (ii) durch eine pH-Impulsmethode (kinetischer Prozess. Besonders deutlich wird der Ausflösungs-Fällungsmechanismus (d.h. der Metamorphismus). Die wesentliche Rolle den Natriumionen bei der Korrosionshemmung wird durch ein passendes zusammensetzungsabhängiges Auflösungsmodell (ZAAM) beschrieben, das mit dem Befund des Salzsprühteste und der Feuchtigkeitskammertests konsistent ist. Schließlich zeigt diese Arbeit das herausragende Potential funktionalisierter Latices (Polymer) bei der kontrollierten Mineralisation zur Herstellung maßgeschneiderter Zinkphosphat Materialien. Solche Hybridmaterialien werden dringend in der Entwicklung umweltfreundlicher Korrosionsschutzpigmente sowie in der Dentalmedizin benötigt.

Strukturbildungsverhalten kettensteifer Polyelektrolyte in wässrigen Lösungen am Beispiel von Poly(para-phenylen)sulfonat

An einer Vielzahl biogener Polyelektrolyte, wie z.B. den Nukleinsäuren DNA und RNA sowie Proteinen, ist die Ausbildung von Strukturhierarchien durch Selbstorganisation von Strukturelementen zu beobachten. Dabei wird das Strukturbildungsverhalten durch eine Kopplung von Wechselwirkungen auf verschiedenen Längenskalen, den kurzreichweitigen ausgeschlossenen Volumen und den langreichweitigen elektrostatischen Wechselwirkungen (Coulomb-Wechselwirkungen), die wiederum durch eine Vielzahl mikroskopische Parameter (z.B. Konformation) beeinflusst werden, bestimmt. Durch diese Komplexität ist es nicht möglich, den für die Strukturbildung hochgeladener Systeme bedeutsamen Beitrag der elektrostatischen Wechselwirkungen isoliert zu betrachten. Aus diesem Grund werden zur Aufklärung von Wechselwirkungs- und Strukturbildungsmechanismen vereinfachte Modell-Systeme herangezogen. Eine Möglichkeit besteht in der Verwendung synthetischer, kettensteifer Polyelektrolyte. Im Rahmen dieser Arbeit wurde das Aggregationsverhalten wässriger Lösungen dodecylsubstituierter Poly(para-phenylen)sulfonate (PPPS) sowie die Beeinflussung der Strukturbildung durch verschiedene Parameter charakterisiert. Als Einflussparameter wurden einerseits die Gegenion-Spezies und andererseits die Temperatur- und Konzentrations-Abhängigkeit untersucht. Hierzu wurden wässrige Lösungen der freien Säuren der PPPS mit Molekulargewichten zwischen MW = 18 kg/mol bis 58 kg/mol mittels Licht-, Röntgen- und Neutronenstreuung sowie durch Licht-, Polarisations-, Transmissionselektronen- und Rasterkraftmikroskopie in einem Konzentrationsbereich von 0,0008 < c < 1,1 g/L untersucht.

Influence of spatial constraints in non-crystalline regions on the polymer dynamics in semi-crystalline polyethylene: a solid state NMR study

A broad variety of solid state NMR techniques were used to investigate the chain dynamics in several polyethylene (PE) samples, including ultrahigh molecular weight PEs (UHMW-PEs) and low molecular weight PEs (LMW-PEs). Via changing the processing history, i.e. melt/solution crystallization and drawing processes, these samples gain different morphologies, leading to different molecular dynamics. Due to the long chain nature, the molecular dynamics of polyethylene can be distinguished in local fluctuation and long range motion. With the help of NMR these different kinds of molecular dynamics can be monitored separately. In this work the local chain dynamics in non-crystalline regions of polyethylene samples was investigated via measuring 1H-13C heteronuclear dipolar coupling and 13C chemical shift anisotropy (CSA). By analyzing the motionally averaged 1H-13C heteronuclear dipolar coupling and 13C CSA, the information about the local anisotropy and geometry of motion was obtained. Taking advantage of the big difference of the 13C T1 relaxation time in crystalline and non-crystalline regions of PEs, the 1D 13C MAS exchange experiment was used to investigate the cooperative chain motion between these regions. The different chain organizations in non-crystalline regions were used to explain the relationship between the local fluctuation and the long range motion of the samples. In a simple manner the cooperative chain motion between crystalline and non-crystalline regions of PE results in the experimentally observed diffusive behavior of PE chain. The morphological influences on the diffusion motion have been discussed. The morphological factors include lamellar thickness, chain organization in non-crystalline regions and chain entanglements. Thermodynamics of the diffusion motion in melt and solution crystallized UHMW-PEs is discussed, revealing entropy-controlled features of the chain diffusion in PE. This thermodynamic consideration explains the counterintuitive relationship between the local fluctuation and the long range motion of the samples. Using the chain diffusion coefficient, the rates of jump motion in crystals of the melt crystallized PE have been calculated. A concept of "effective" jump motion has been proposed to explain the difference between the values derived from the chain diffusion coefficients and those in literatures. The observations of this thesis give a clear demonstration of the strong relationship between the sample morphology and chain dynamics. The sample morphologies governed by the processing history lead to different spatial constraints for the molecular chains, leading to different features of the local and long range chain dynamics. The knowledge of the morphological influence on the microscopic chain motion has many implications in our understanding of the alpha-relaxation process in PE and the related phenomena such as crystal thickening, drawability of PE, the easy creep of PE fiber, etc.

Surface layer formation in polymer melts and in solutions

In this work the surface layer formation in polymer melts and in polymer solutions have been investigated with the atomic force microscope (AFM). In polymer melts, the formation of an immobile surface layer results in a steric repulsion, which can be measured by the AFM. From former work it is know, that polydimethyl siloxane (PDMS) forms a stable surface layer for molecular weights above 12 kDa. In the present thesis, polyisoprene (PI) was investigated apart from PDMS, by a)measuring the steric surface interactions and b)measuring the surface slip in hydrodynamic experiments. If a polymer flows over a surface, the flow velocity at the surface is larger then zero. If case of a surface layer formation the flow plane changes to the top of the adsorbed layer and the surface slip is reduced to zero. By measuring the surface slip in hydrodynamic experiments, it is therefore possible to determine the presence of a stable surface layer. The results show no stable repulsion for PI and only a small decrease of the surface slip. This indicates that PI does not form a stable surface layer, but is only adsorbed weakly to the surface. Furthermore for 8 kDa PDMS the timescale of the formation of a surface layer was investigated by changing themaximal force the tip applied to the surface. With a repulsive force present, applying a higher force than 15 nN resulted in a destruction of the surface layer, indicated by attractive forces. Reducing the applied force below 15 nN then resulted in an increase of the repulsion to the former state during one minute, thus indicating that a surface layer can be formed within one minute even under the influence of continuous measurements. As a next step, mixtures of two PDMS homopolymers with different chain lengths have been investigated. The aim was to verify theoretical predictions that shorter chains should predominate at the surface due to their smaller loss in conformational entropy. The measurements where done in dependence of the volume fractions of short and long chain PMDS. The results confirmed the short chain dominance for all mixtures with less then 90 vol.% long chain PDMS. Surface layer formation in solution was investigated for superplasticizers which are industrially used as an additive to cement. They change the surface interaction between the cement grains from attractive to repulsive and the freshlymixed cement paste therefore becomes liquid. The aimin this part of the thesis was, to investigate cement particle interactions in a close to real environment. Therefore calcium silicate hydrate phases have been precipitated onto an AFM tip and onto a calcite crystal and the interaction between these surfaces have beenmeasured with and without addition of superplasticizers. The measurements confirmed the change from attraction to repulsion upon addition of superplasticizers. The repulsive steric interaction increased with the length of the sidechain of the superplasticizer, and the dependence of the range of the steric interactions on the sidechain length indicated that the sidechains are in a coiled conformation.

Polymer properties measured by micromechanical cantilever technique

Surface stress changes induced by specific adsorption of molecules were investigated using a micromechanical cantilever sensor (MCS) device. 16 MCS are grouped within four separate wells. Each well can be addressed independently by different liquid enabling functionalization of MCS separately by flowing different solutions through each well and performing sensing and reference experiments simultaneously. In addition, each well contains a fixed reference mirror, which allows measuring the absolute bending of MCS. The effect of the flow rate on the MCS bending change was found to be dependent on the absolute bending value of MCS. In addition, the signal from the reference mirror can be used to follow refractive index changes upon mixing different solutions. Finite element simulation of solution exchange in wells was compared with experiment results. Both revealed that one solution can be exchanged by another one after a total volume of 200 µl has flown through. Using MCS, the adsorption of thiolated deoxyribonucleic acid (DNA) molecules and 6-mercapto-1-hexanol (MCH) on gold surfaces, and the DNA hybridization were performed. The nanomechanical response is in agreement with data reported by Fritz et al.1 Thus, the multiwell device is readily applicable for sensing of multiple chemical and biological recognition events in a single step. In this context controlled release and uptake of drugs are currently widely discussed. As a model system, we have used polystyrene (PS) spheres with diameters in the order of µm. The swelling behavior of individual PS spheres in toluene vapor was studied via mass loading by means of micromechanical cantilever sensors. For 4–8% cross-linked PS a mass increase of 180% in saturated toluene vapor was measured. In addition, the diameter change in saturated toluene vapor was measured and the corresponding volume increase of 200% was calculated. The mass of the swollen PS sphere decreases with increasing exposure time to ultraviolet (UV) light. The swelling response is significantly different between the first and the second exposure to toluene vapor. This is attributed to the formation of a cross-linked shell at the surface of the PS spheres. Shape persistent parts were observed for locally UV irradiated PS spheres. These PS spheres were found to be fluorescent and cracks occur after exposure in toluene liquid. The diffusion time of dye molecules in PS spheres increases with increasing chemical cross-linking density. This concept of locally dissolving non cross-linked PS from the sphere was applied to fabricate donut structures on surfaces. Arrays of PS spheres were fabricated using spin coating. The donut structure was produced simply after liquid solvent rinsing. The complete cross-linking of PS spheres was found after long exposure time to UV. We found that stabilizers play a major role in the formation of the donut nanostructures.

Inorganic-organic hybrid polymers: Solution-processible coating materials for defined surface functionalization

A new class of inorganic-organic hybrid polymers could successfully been prepared by the combination of different polymerization techniques. The access to a broad range of organic polymers incorporated into the hybrid polymer was realized using two independent approaches.rnIn the first approach a functional poly(silsesquioxane) (PSSQ) network was pre-formed, which was capable to initiate a controlled radical polymerization to graft organic vinyl-type monomers from the PSSQ precursor. As controlled radical polymerization techniques atom transfer radical polymerization (ATRP), as well as reversible addition fragmentation chain transfer (RAFT) polymerization could be used after defined tuning of the PSSQ precursor either toward a PSSQ macro-initiator or to a PSSQ macro-chain-transfer-agent. The polymerization pathway, consisting of polycondensation of trialkoxy-silanes followed by grafting-from polymerization of different monomers, allowed synthesis of various functional hybrid polymers. A controlled synthesis of the PSSQ precursors could successfully be performed using a microreactor setup; the molecular weight could be adjusted easily while the polydispersity index could be decreased well below 2.rnThe second approach aimed to incorporate differently derived organic polymers. As examples, polycarbonate and poly(ethylene glycol) were end-group-modified using trialkoxysilanes. After end-group-functionalization these organic polymers could be incorporated into a PSSQ network.rnThese different hybrid polymers showed extraordinary coating abilities. All polymers could be processed from solution by spin-coating or dip-coating. The high amount of reactive silanol moieties in the PSSQ part could be cross-linked after application by annealing at 130° for 1h. Not only cross-linking of the whole film was achieved, which resulted in mechanical interlocking with the substrate, also chemical bonds to metal or metal oxide surfaces were formed. All coating materials showed high stability and adhesion onto various underlying materials, reaching from metals (like steel or gold) and metal oxides (like glass) to plastics (like polycarbonate or polytetrafluoroethylene).rnAs the material and the synthetic pathway were very tolerant toward different functionalities, various functional monomers could be incorporated in the final coating material. The incorporation of N-isopropylacrylamide yielded in temperature-responsive surface coatings, whereas the incorporation of redox-active monomers allowed the preparation of semi-conductive coatings, capable to produce smooth hole-injection layers on transparent conductive electrodes used in optoelectronic devices.rnThe range of possible applications could be increased tremendously by incorporation of reactive monomers, capable to undergo fast and quantitative conversions by polymer-analogous reactions. For example, grafting active esters from a PSSQ precursor yielded a reactive surface coating after application onto numerous substrates. Just by dipping the coated substrate into a solution of a functionalized amine, the desired function could be immobilized at the interface as well as throughout the whole film. The obtained reactive surface coatings could be used as basis for different functional coatings for various applications. The conversion with specifically tuned amines yielded in surfaces with adjustable wetting behaviors, switchable wetting behaviors or as recognition element for surface-oriented bio-analytical devices. The combination of hybrid materials with orthogonal reactivities allowed for the first time the preparation of multi-reactive surfaces which could be functionalized sequentially with defined fractions of different groups at the interface. rnThe introduced concept to synthesis functional hybrid polymers unifies the main requirements on an ideal coating material. Strong adhesion on a wide range of underlying materials was achieved by secondary condensation of the PSSQ part, whereas the organic part allowed incorporation of various functionalities. Thus, a flexible platform to create functional and reactive surface coatings was achieved, which could be applied to different substrates. rn

Hybrid inorganic-polymer coatings prepared via miniemulsion process

A synthetic route was designed for the incorporation of inorganic materials within water-based miniemulsions with a complex and adjustable polymer composition. This involved co-homogenization of two inverse miniemulsions constituting precursors of the desired inorganic salt dispersed within a polymerizable continuous phase, followed by transfer to a direct miniemulsion via addition to an o/w surfactant solution with subsequent homogenization and radical polymerization. To our knowledge, this is the first work done where a polymerizable continuous phase has been used in an inverse (mini)emulsion formation followed by transfer to a direct miniemulsion, followed by polymerization, so that the result is a water-based dispersion. The versatility of the process was demonstrated by the synthesis of different inorganic pigments, but also the use of unconventional mixture of vinylic monomers and epoxy resin as the polymerizable phase (unconventional as a miniemulsion continuous phase but typical combination for coating applications). Zinc phosphate, calcium carbonate and barium sulfate were all successfully incorporated in the polymer-epoxy matrix. The choice of the system was based on a typical functional coatings system, but is not limited to. This system can be extended to incorporate various inorganic and further materials as long as the starting materials are water-soluble or hydrophilic. rnThe hybrid zinc phosphate – polymer water-based miniemulsion prepared by the above route was then applied to steel panels using autodeposition process. This is considered the first autodeposition coatings process to be carried out from a miniemulsion system containing zinc phosphate particles. Those steel panels were then tested for corrosion protection using salt spray tests. Those corrosion tests showed that the hybrid particles can protect substrate from corrosion and even improve corrosion protection, compared to a control sample where corrosion protection was performed at a separate step. Last but not least, it is suggested that corrosion protection mechanism is related to zinc phosphate mobility across the coatings film, which was proven using electron microscopy techniques.

Tailoring molecular weight of the conjugated model polymer MEH-PPV and its structure-property relations

In der vorliegenden Arbeit wurden Struktur-Eigenschaftsbeziehungen des konjugierten Modell-Polymers MEH-PPV untersucht. Dazu wurde Fällungs-fraktionierung eingesetzt, um MEH-PPV mit unterschiedlichem Molekulargewicht (Mw) zu erhalten, insbesondere MEH-PPV mit niedrigem Mw, da dieses für optische Wellenleiterbauelemente optimal geeignet ist Wir konnten feststellen, dass die Präparation einer ausreichenden Menge von MEH-PPV mit niedrigem Mw und geringer Mw-Verteilung wesentlich von der geeigneten Wahl des Lösungsmittels und der Temperatur während der Zugabe des Fällungsmittels abhängt. Alternativ dazu wurden UV-induzierte Kettenspaltungseffekte untersucht. Wir folgern aus dem Vergleich beider Vorgehensweisen, dass die Fällungsfraktionierung verglichen mit der UV-Behandlung besser geeignet ist zur Herstellung von MEH-PPV mit spezifischem Mw, da das UV-Licht Kettendefekte längs des Polymerrückgrats erzeugt. 1H NMR and FTIR Spektroskopie wurden zur Untersuchung dieser Kettendefekte herangezogen. Wir konnten außerdem beobachten, dass die Wellenlängen der Absorptionsmaxima der MEH-PPV Fraktionen mit der Kettenlänge zunehmen bis die Zahl der Wiederholeinheiten n  110 erreicht ist. Dieser Wert ist signifikant größer als früher berichtet. rnOptische Eigenschaften von MEH-PPV Wellenleitern wurden untersucht und es konnte gezeigt werden, dass sich die optischen Konstanten ausgezeichnet reproduzieren lassen. Wir haben die Einflüsse der Lösungsmittel und Temperatur beim Spincoaten auf Schichtdicke, Oberflächenrauigkeit, Brechungsindex, Doppelbrechung und Wellenleiter-Dämpfungsverlust untersucht. Wir fanden, dass mit der Erhöhung der Siedetemperatur der Lösungsmittel die Schichtdicke und die Rauigkeit kleiner werden, während Brechungsindex, Doppelbrechung sowie Wellenleiter-Dämpfungsverluste zunahmen. Wir schließen daraus, dass hohe Siedetemperaturen der Lösungsmittel niedrige Verdampfungsraten erzeugen, was die Aggregatbildung während des Spincoatings begünstigt. Hingegen bewirkt eine erhöhte Temperatur während der Schichtpräparation eine Erhöhung von Schichtdicke und Rauhigkeit. Jedoch nehmen Brechungsindex und der Doppelbrechung dabei ab.rn Für die Schichtpräparation auf Glassubstraten und Quarzglas-Fasern kam das Dip-Coating Verfahren zum Einsatz. Die Schichtdicke der Filme hängt ab von Konzentration der Lösung, Transfergeschwindigkeit und Immersionszeit. Mit Tauchbeschichtung haben wir Schichten von MEH-PPV auf Flaschen-Mikroresonatoren aufgebracht zur Untersuchung von rein-optischen Schaltprozessen. Dieses Verfahren erweist sich insbesondere für MEH-PPV mit niedrigem Mw als vielversprechend für die rein-optische Signalverarbeitung mit großer Bandbreite.rn Zusätzlich wurde auch die Morphologie dünner Schichten aus anderen PPV-Derivaten mit Hilfe von FTIR Spektroskopie untersucht. Wir konnten herausfinden, dass der Alkyl-Substitutionsgrad einen starken Einfluss auf die mittlere Orientierung der Polymerrückgrate in dünnen Filmen hat.rn

Synthese von grenzflächenaktiven Monomeren zur Herstellung von funktionalen Metall-Chalkogenid,Polymer-Hybridnanopartikeln

In dieser Arbeit wurde gezeigt, wie oberflächenfunktionalisierte Polystyrolnanopartikel zur Herstellung von Metallchalkogenid/Polymer-Hybridnanopartikeln eingesetzt werden können. Dazu wurden zunächst phosphonsäure- und phosphorsäurefunktionalisierte Surfmere synthetisiert, die anschließend bei der Miniemulsionspolymerisation von Styrol verwendet wurden. Die Surfmere dienten dabei zugleich zur Stabilisierung und als Comonomer. Die oberflächenfunktionalisierten Polystyrolnanopartikel wurden anschließend als Trägerpartikel für die Kristallisation von Metalloxiden eingesetzt. Dabei wurden Metalloxid/Polymer-Hybridnanopartikel mit einer „himbeerartigen“ Morphologie erhalten. Um die vielseitige Modifizierbarkeit der phosphonat- und phosphat¬funktionalisierten Polystyrolpartikel zu demonstrieren, wurden Cer-, Eisen- sowie Zinkoxid auf der Partikeloberfläche kristallisiert. Dazu wurden sowohl wässrige als auch alkoholische Metalloxid-Präkursorlösungen eingesetzt. Die synthetisierten Metall¬oxid/Polymer-Hybridpartikel wurden detailliert mit REM, TEM und PXRD analysiert. Die Untersuchung des Kristallisationsmechanismus hatte erwiesen, dass die komplexierten Metallkationen auf der Partikeloberfläche als Nukleationszentren wirkten und die Zutropfrate des Fällungsreagenz entscheidend für die Oberflächenkristallisation ist. Durch Mischungsexperimente von Metalloxidnanopartikeln und den oberflächen¬funktionalisierten Polymerpartikeln konnte die Hybridpartikelbildung über Hetero¬koagulation ausgeschlossen werden. Außerdem wurde festgestellt, dass die Polarität der funktionellen Gruppe über die Stärke der Komplexierung der Metalloxid-Präkursor bestimmt. Darüber hinaus wurde ein Modell zur Erklärung der kolloidalen Stabilisierung der Metalloxid/Polymer-Hybridsysteme aufgestellt und ein Zusammenhang zwischen dem gemessenen Zeta-Potential und der Oberflächenbedeckung der Polymerpartikel durch Metalloxid gefunden. Mit der Methode der Oberflächenkristallisation konnten frühe Stadien der Nukleation auf der Partikeloberfläche fixiert werden. Weiterhin wurden die individuellen physikalisch-chemischen Eigenschaften der hergestellten Metall¬oxid/Polymer-Hybridnano¬partikel untersucht. Dabei zeigten die CeO2/Polymer-Hybridpartikel eine hohe katalytische Aktivität bezüglich der photokatalytischen Oxidation von Rhodamin B, die als Modellreaktion durchgeführt wurde. Des Weiteren wurde die Magnetisierung der Magnetit/Polymer-Hybridpartikel gemessen. Die Fe3O4-Hybrid¬partikelsysteme wiesen eine vergleichbare Sättigungsmagnetisierung auf. Die Zinkoxid/Polymer-Hybridsysteme zeigten eine starke Lumineszenz im sichtbaren Bereich bei Anregung mit UV-Licht. Die Metalloxid/Polymer-Hybridpartikel, die mit den phosphonat- oder phosphatfunktion¬alisierten Polystyrolpartikeln hergestellt wurden, zeigten keine signifikanten Unterschiede in ihren physikochemischen Eigenschaften. Im Allgemeinen lässt sich schlussfolgern, dass sowohl Phosphonat- als auch Phosphatgruppen gleichermaßen für die Oberflächenkristallisation von Metalloxiden geeignet sind. Die Zink¬oxid/Polymer-Hybridsysteme stellen eine Ausnahme dar. Die Verwendung der phosphonat¬funktionalisierten Polystyrolpartikel führte zur Entstehung einer Zinkhydroxidphase, die neben der Zinkoxidphase gebildet wurde. Aufgrund dessen zeigten die ZnO/RPO3H2-Hybridpartikel eine geringere Lumineszenz im sichtbaren Bereich als die ZnO/RPO4H2-Hybridsysteme.rnDie Erkenntnisse, die bei der Oberflächenkristallisation von Metalloxiden gewonnen wurden, konnten erfolgreich auf Cadmiumsulfid übertragen werden. Dabei konnte Cadmiumsulfid auf der Oberfläche von phosphonatfunktionalisierten Polystyrolpartikeln kristallisiert werden. Mit Hilfe des RPO3H2-Surfmers konnten phosphonatfunktion¬alisierte Polystyrolpartikel mit superparamagnetischem Kern synthetisiert werden, die zur Herstellung von multifunktionalen CdS/Polymer-Hybridpartikeln mit Magnetitkern verwendet wurden. Die Kristallphase und die Oberflächenbedeckung der multi¬funktionalen Hybridsysteme wurden mit den CdS/Polymer-Hybridsystemen ohne magnetischen Kern verglichen. Dabei konnte nachgewiesen werden, dass in beiden Fällen Cadmiumsulfid in der Greenockit-Modifikation gebildet wurde. Die multifunktionalen CdS/Polymer-Hybridpartikel mit superparamagnetischem Kern konnten sowohl mit einem optischen als auch einem magnetischen Stimulus angeregt werden.rnrn