Untersuchung der Ordnung und Diffusion von Polymerdispersionen bei ihrer Verfilmung

Im Rahmen dieser Arbeit wurde die, für industrielle Applikationen sehr wichtige, Trocknung und Verfilmung von Latexdispersionen untersucht. Unter der Verfilmung wird in diesem Zusammenhang allgemein der Übergang einer Polymerdispersion in einen transparenten, mechanisch stabilen Polymerfilm während ihrer Trocknung verstanden. Für die Untersuchungen wurden schwerpunktmäßig Streumethoden verwendet. Die Untersuchungen haben gezeigt, daß die Streuung eine besonders geeignete Methode zur Untersuchung der Verfilmung ist, die in Abhängigkeit des beobachteten Streuvektorbereichs, der verwendeten Strahlung, der Probenpräparation und des resultierenden Kontrasts eine Vielzahl unterschiedlicher Informationen über die Verfilmung in ihren verschiedenen Phasen liefert. Von besonderem Interesse war es, den prinzipiellen Verlauf der Verfilmung bei den heterogen trocknenden Reinacrylatlatices zu untersuchen. Dazu wurde mit Hilfe der Röntgenultrakleinwinkelstreuung gezielt der Zustand der Partikel in den einzelnen Phasen der heterogen trocknenden Proben beobachtet. Mit Hilfe der Neutronenkleinwinkelstreuung konnte das Verhalten des Emulgators während der Verfilmung und dessen Verteilung im resultierenden Film genauer untersucht werden. Die Röntgenkleinwinkelstreuung erlaubte eine eingehende Untersuchung der Kristallisation des Emulgators im trockenen Film. Geeignete Kontrastierung durch gezielte Deuterierung ermöglichte die Untersuchung des Comonomereinflusses auf die Interdiffusion von Latexpartikeln mit Neutronenkleinwinkelstreuung. Aus den Meßergebnissen wurde ein Modell zur heterogenen Trocknung von Latexdispersionen entwickelt, das den Ablauf der Verfilmung in einem konsistenten Bild zusammenfaßt.

Complexes of polyelectrolytes with defined charge distance and different dendrimer counterions

Complexes of polyelectrolytes with defined charge distance and different dendrimer counterions Magdalena Chelmecka Max Planck Institute for Polymer Research; Ackermannweg 10; D-55128 Mainz ; Tel.: (+49) 06131- 379 – 226 A study of complexes in solution is of interest to investigate whether the formation of well-defined assemblies like in classical surfactant systems is possible. Aim of this thesis is to investigate the electrostatic self-assembly of linear polycations of varying charge distance with “large” counterions of varying architecture. We especially investigate the morphology of objects formed, but also their stability under salt free condition and after low molecular mass salt addition. As polycations, Poly(dialkylimino)-alkylene salts (Ionenes) I65MeBr and I25MeBr were chosen. Ionenes are synthesized via Menschutkin reaction and characterized by standard methods. Counterions are Polyamidoamine (PAMAM) dendrimers of generations G2.5, G5.5, G7.5 with -COONa surface groups and shape-persistent, Polyphenylene dendrimers of generation G1 with surface -COOH groups. A complex interplay of interactions is expected to direct the self assembly via electrostatic interaction, geometric factors, hydrophobic interaction or hydrogen bonds. Methods used for the investigation of complexes are: UV-spectroscopy, pH-metric techniques, dynamic and static light scattering, small angle neutron scattering,  potential measurements and potentiometric titration. Under certain conditions, (i.e. charge ratio of compounds, charge density of ionene and dendrimer also concentration of sample) polyelectrolyte systems composed of ionenes and dendrimers build complexes in solution. System compounds are typical polyelectrolytes, but structures which they build behave not usual for typical polyelectrolytes. In a one diffusion mode regime aggregates of about 100 nm hydrodynamic radius have been found. Such aggregates are core-shell or anisotropic core shell structures in the case of ionenes/PAMAM dendrimers complexes. These complexes are stable even at high ionic strength. In case of ionenes with poly(phenylene) dendrimers, hard sphere-like objects or spherical objects with hairy-like surface have been found in a one diffusion mode regime. Their stability at high ionic strength is lower. For the ionenes/poly(phenylene) dendrimers systems one transition point has been found from one to two diffusion processes, towards increasing ionene concentration, i.e. for the samples with fixed dendrimer concentration towards increasing ionic strength. For the diffusion profile of ionene/PAMAM dendrimers in most cases two transition regimes are observed. One at very low ionene concentration, the second one at high ionene concentrations, which again means for the samples with fixed dendrimer concentration, also at higher ionic strength. Both two mode regimes are separated by the one mode regime. As was confirmed experimentally, the one diffusion mode regime is caused by the motion of well defined assemblies. The two diffusion mode regimes are caused by the movement of different sized species in solution, large aggregates and middle-size aggregates (oligoaggregates). The location and also the number of transition points in the diffusion profiles is dependent on the ionene to dendrimer charge ratio, charge density of the compounds and concentration. No influence of the molecular mass of the ionene has been found. The aggregates are found to be charged on the surface, however this surface charge does not significantly influence the diffusion properties of the system.

Vortex dynamics in superconductors in the presence of anisotropic pinning

Vortex dynamics in two different classes of superconductors with anisotropic unidirected pinning sites was experimentally investigated by magnetoresistivity measurements: YBCO−films with unidirected twins and Nb-films deposited on faceted $mathrm Al_2O_3$ substrate surfaces. For the interpretation of the experimental results a theoretical model based on the Fokker-Planck equation was used. It was proved by X-ray measurements that YBCO films prepared on (001) $mathrm NdGaO_3$ substrates exhibit only one twin orientation in contrast to YBCO films grown on (100) $mathrm SrTiO_$3 substrates. The magnetoresistivity measurements of the YBCO films with unidirected twin boundaries revealed the existence of two new magnetoresistivity components, which is a characteristic feature of a guided vortex motion: an odd longitudinal component with respect to the magnetic field sign reversal and an even transversal component. However, due to the small coherence length in YBCO and the higher density of point-like defects comparing to high-quality YBCO single crystals, the strength of the isotropic point pinning was comparable with the strength of the pinning produced by twins. This smeared out all effects caused by the pinning anisotropy. The behaviour of the odd longitudinal component was found to be independent of the transport current direction with respect to the twin planes. The magnetoresistivity measurements of faceted Nb films demonstrated the appearance of an odd longitudinal and even transversal component of the magnetoresistivity. The temperature and magnetic field dependences of all relevant magnetoresistivity components were measured. The angles between the average vortex velocity vector and the transport current direction calculated from the experimental data for the different transport current orientations with respect to the facet ridges showed that the vortices moved indeed along the facet ridges. An anomalous Hall effect, i.e. a sign change of the odd transversal magnetoresistivity, has been found in the temperature and magnetic field dependences of the Hall resisitivity of the samples. The theory developed by V.~A.~Shklovskij was used for the explanation of the experimental data. It shows very good agreement with the experiment. The temperature dependence of the even longitudinal magnetoresistivity component of the samples could be very well fitted within the theoretical approach, using for the isotropic and anisotropic pinning potential simple potential with a symmetric triangular potential wells whose depths were estimated from the experimental data.

Partial reconstruction of the trajectories of a discretely observed branching diffusion with immigration and an application to inference

In this treatise we consider finite systems of branching particles where the particles move independently of each other according to d-dimensional diffusions. Particles are killed at a position dependent rate, leaving at their death position a random number of descendants according to a position dependent reproduction law. In addition particles immigrate at constant rate (one immigrant per immigration time). A process with above properties is called a branching diffusion withimmigration (BDI). In the first part we present the model in detail and discuss the properties of the BDI under our basic assumptions. In the second part we consider the problem of reconstruction of the trajectory of a BDI from discrete observations. We observe positions of the particles at discrete times; in particular we assume that we have no information about the pedigree of the particles. A natural question arises if we want to apply statistical procedures on the discrete observations: How can we find couples of particle positions which belong to the same particle? We give an easy to implement 'reconstruction scheme' which allows us to redraw or 'reconstruct' parts of the trajectory of the BDI with high accuracy. Moreover asymptotically the whole path can be reconstructed. Further we present simulations which show that our partial reconstruction rule is tractable in practice. In the third part we study how the partial reconstruction rule fits into statistical applications. As an extensive example we present a nonparametric estimator for the diffusion coefficient of a BDI where the particles move according to one-dimensional diffusions. This estimator is based on the Nadaraya-Watson estimator for the diffusion coefficient of one-dimensional diffusions and it uses the partial reconstruction rule developed in the second part above. We are able to prove a rate of convergence of this estimator and finally we present simulations which show that the estimator works well even if we leave our set of assumptions.

Analysis of nonlinear diffusion equations of second and fourth order

Wegen der fortschreitenden Miniaturisierung von Halbleiterbauteilen spielen Quanteneffekte eine immer wichtigere Rolle. Quantenphänomene werden gewöhnlich durch kinetische Gleichungen beschrieben, aber manchmal hat eine fluid-dynamische Beschreibung Vorteile: die bessere Nutzbarkeit für numerische Simulationen und die einfachere Vorgabe von Randbedingungen. In dieser Arbeit werden drei Diffusionsgleichungen zweiter und vierter Ordnung untersucht. Der erste Teil behandelt die implizite Zeitdiskretisierung und das Langzeitverhalten einer degenerierten Fokker-Planck-Gleichung. Der zweite Teil der Arbeit besteht aus der Untersuchung des viskosen Quantenhydrodynamischen Modells in einer Raumdimension und dessen Langzeitverhaltens. Im letzten Teil wird die Existenz von Lösungen einer parabolischen Gleichung vierter Ordnung in einer Raumdimension bewiesen, und deren Langzeitverhalten studiert.

Diffusionsgewichtete Helium-3 Magnetresonanztomographie zur Untersuchung der Lunge

Die diffusionsgewichtete Magnetresonanztomographie (MRT) mit dem hyperpolarisierten Edelgas-Isotop 3He ist ein neues Verfahren zur Untersuchung von Erkrankungen der Atem-wege und der Lunge. Die Diffusionsbewegung der 3He-Atome in den Luftwegen der Lunge wird durch deren Wände begrenzt, wobei diese Einschränkung sowohl von den Dimensionen der Atemwege als auch von den Messparametern abhängt. Man misst daher einen scheinbaren Diffusionskoeffizienten (Apparent Diffusion Coefficient, ADC) der kleiner ist als der Diffusionskoeffizient bei freier Diffusion. Der ADC gestattet somit eine qualitative Abschät-zung der Größe der Luftwege und deren krankhafte Veränderung, ohne eine direkte Abbil-dung der Luftwege selbst. Eine dreidimensionale Abbildung der räumlichen Verteilung von Lungenschädigungen wird dadurch möglich. Ziel der vorliegenden Arbeit war es, ein tieferes physikalisch fundiertes Verständnis der 3He-Diffusionsmessung zu ermöglichen und die Methode der diffusionsgewichteten 3He-MRT hin zur Erfassung des kompletten 3He-Diffusionstensors weiterzuentwickeln. Dazu wurde systematisch im Rahmen von Phantom- und tierexperimentellen Studien sowie Patientenmes-sungen untersucht, inwieweit unterschiedliche Einflussfaktoren das Ergebnis der ADC-Messung beeinflussen. So konnte beispielsweise nachgewiesen werden, dass residuale Luftströmungen am Ende der Einatmung keinen Einfluss auf den ADC-Wert haben. Durch Simulationsrechnungen konnte gezeigt werden, in welchem Maße sich die durch den Anregungspuls hervorgerufene Abnah-me der Polarisation des 3He-Gases auf den gemessenen ADC-Wert auswirkt. In einer Studie an lungengesunden Probanden und Patienten konnte die Wiederholbarkeit der ADC-Messung untersucht werden, aber auch der Einfluss von Gravitationseffekten. Diese Ergebnisse ermöglichen genauere Angaben über systematische und statistische Messfehler, sowie über Grenzwerte zwischen normalem und krankhaft verändertem Lungengewebe. Im Rahmen dieser Arbeit wurde die bestehende diffusionsgewichtete Bildgebung methodisch zur Erfassung des kompletten Diffusionstensors von 3He in der Lunge weiterentwickelt. Dies war wichtig, da entlang der Luftwege weitestgehend freie Diffusion vorherrscht, während senkrecht zu den Luftwegen die Diffusion eingeschränkt ist. Mit Hilfe von Simulationsrech-nungen wurde der kritische Einfluss von Rauschen in den MRT-Bildern auf die Qualität der Messergebnisse untersucht. Diese neue Methodik wurde zunächst an einem Phantom beste-hend aus einem Bündel aus Glaskapillaren, deren innerer Durchmesser mit dem des mensch-lichen Azinus übereinstimmt, validiert. Es ergab sich eine gute Übereinstimmung zwischen theoretischen Berechnungen und experimentellen Ergebnissen. In ersten Messungen am Menschen konnten so unterschiedliche Anisotropiewerte zwischen lungengesunden Proban-den und Patienten gefunden werden. Es zeigte sich eine Tendenz zu isotroper Diffusion bei Patienten mit einem Lungenemphysem. Zusammenfassend tragen die Ergebnisse der vorliegenden Arbeit zu einem besseren Ver-ständnis der ADC-Messmethode bei und helfen zukünftige Studien aufgrund des tieferen Verständnisses der die 3He Messung beeinflussenden Faktoren besser zu planen.

Existence of solutions and asymtptotic limits of the Euler-Poisson and the quantum drift-diffusion systems

My work concerns two different systems of equations used in the mathematical modeling of semiconductors and plasmas: the Euler-Poisson system and the quantum drift-diffusion system. The first is given by the Euler equations for the conservation of mass and momentum, with a Poisson equation for the electrostatic potential. The second one takes into account the physical effects due to the smallness of the devices (quantum effects). It is a simple extension of the classical drift-diffusion model which consists of two continuity equations for the charge densities, with a Poisson equation for the electrostatic potential. Using an asymptotic expansion method, we study (in the steady-state case for a potential flow) the limit to zero of the three physical parameters which arise in the Euler-Poisson system: the electron mass, the relaxation time and the Debye length. For each limit, we prove the existence and uniqueness of profiles to the asymptotic expansion and some error estimates. For a vanishing electron mass or a vanishing relaxation time, this method gives us a new approach in the convergence of the Euler-Poisson system to the incompressible Euler equations. For a vanishing Debye length (also called quasineutral limit), we obtain a new approach in the existence of solutions when boundary layers can appear (i.e. when no compatibility condition is assumed). Moreover, using an iterative method, and a finite volume scheme or a penalized mixed finite volume scheme, we numerically show the smallness condition on the electron mass needed in the existence of solutions to the system, condition which has already been shown in the literature. In the quantum drift-diffusion model for the transient bipolar case in one-space dimension, we show, by using a time discretization and energy estimates, the existence of solutions (for a general doping profile). We also prove rigorously the quasineutral limit (for a vanishing doping profile). Finally, using a new time discretization and an algorithmic construction of entropies, we prove some regularity properties for the solutions of the equation obtained in the quasineutral limit (for a vanishing pressure). This new regularity permits us to prove the positivity of solutions to this equation for at least times large enough.

Diffusion of laser polarized gases in MRI

The use of Magnetic Resonance Imaging (MRI) as a diagnostic tool is increasingly employing functional contrast agents to study or contrast entire mechanisms. Contrast agents in MRI can be classified in two categories. One type of contrast agents alters the NMR signal of the protons in its surrounding, e.g. lowers the T1 relaxation time. The other type enhances the Nuclear Magnetic Resonance (NMR) signal of specific nuclei. For hyperpolarized gases the NMR signal is improved up to several orders of magnitude. However, gases have a high diffusivity which strongly influences the NMR signal strength, hence the resolution and appearance of the images. The most interesting question in spatially resolved experiments is of course the achievable resolution and contrast by controlling the diffusivity of the gas. The influence of such diffusive processes scales with the diffusion coefficient, the strength of the magnetic field gradients and the timings used in the experiment. Diffusion may not only limit the MRI resolution, but also distort the line shape of MR images for samples, which contain boundaries or diffusion barriers within the sampled space. In addition, due to the large polarization in gaseous 3He and 129Xe, spin diffusion (different from particle diffusion) could play a role in MRI experiments. It is demonstrated that for low temperatures some corrections to the NMR measured diffusion coefficient have to be done, which depend on quantum exchange effects for indistinguishable particles. Physically, if these effects can not change the spin current, they can do it indirectly by modifying the velocity distribution of the different spin states separately, so that the subsequent collisions between atoms and therefore the diffusion coefficient can eventually be affected. A detailed study of the hyperpolarized gas diffusion coefficient is presented, demonstrating the absence of spin diffusion (different from particle diffusion) influence in MRI at clinical conditions. A novel procedure is proposed to control the diffusion coefficient of gases in MRI by admixture of inert buffer gases. The experimental measured diffusion agrees with theoretical simulations. Therefore, the molecular mass and concentration enter as additional parameters into the equations that describe structural contrast. This allows for setting a structural threshold up to which structures contribute to the image. For MRI of the lung this allows for images of very small structural elements (alveoli) only, or in the other extreme, all airways can be displayed with minimal signal loss due to diffusion.

Crystal phases and glassy dynamics in monodisperse hard ellipsoids

We have performed Monte Carlo and molecular dynamics simulations of suspensions of monodisperse, hard ellipsoids of revolution. Hard-particle models play a key role in statistical mechanics. They are conceptually and computationally simple, and they offer insight into systems in which particle shape is important, including atomic, molecular, colloidal, and granular systems. In the high density phase diagram of prolate hard ellipsoids we have found a new crystal, which is more stable than the stretched FCC structure proposed previously . The new phase, SM2, has a simple monoclinic unit cell containing a basis of two ellipsoids with unequal orientations. The angle of inclination is very soft for length-to-width (aspect) ratio l/w=3, while the other angles are not. A symmetric state of the unit cell exists, related to the densest-known packings of ellipsoids; it is not always the stable one. Our results remove the stretched FCC structure for aspect ratio l/w=3 from the phase diagram of hard, uni-axial ellipsoids. We provide evidence that this holds between aspect ratios 3 and 6, and possibly beyond. Finally, ellipsoids in SM2 at l/w=1.55 exhibit end-over-end flipping, warranting studies of the cross-over to where this dynamics is not possible. Secondly, we studied the dynamics of nearly spherical ellipsoids. In equilibrium, they show a first-order transition from an isotropic phase to a rotator phase, where positions are crystalline but orientations are free. When over-compressing the isotropic phase into the rotator regime, we observed super-Arrhenius slowing down of diffusion and relaxation, and signatures of the cage effect. These features of glassy dynamics are sufficiently strong that asymptotic scaling laws of the Mode-Coupling Theory of the glass transition (MCT) could be tested, and were found to apply. We found strong coupling of positional and orientational degrees of freedom, leading to a common value for the MCT glass-transition volume fraction. Flipping modes were not slowed down significantly. We demonstrated that the results are independent of simulation method, as predicted by MCT. Further, we determined that even intra-cage motion is cooperative. We confirmed the presence of dynamical heterogeneities associated with the cage effect. The transit between cages was seen to occur on short time scales, compared to the time spent in cages; but the transit was shown not to involve displacements distinguishable in character from intra-cage motion. The presence of glassy dynamics was predicted by molecular MCT (MMCT). However, as MMCT disregards crystallization, a test by simulation was required. Glassy dynamics is unusual in monodisperse systems. Crystallization typically intervenes unless polydispersity, network-forming bonds or other asymmetries are introduced. We argue that particle anisometry acts as a sufficient source of disorder to prevent crystallization. This sheds new light on the question of which ingredients are required for glass formation.

Diffusion in polymer systems studied by fluorescence correlation spectroscopy

Fluorescence correlation spectroscopy (FCS) is a powerful technique to determine the diffusion of fluorescence molecules in various environments. The technique is based on detecting and analyzing the fluctuation of fluorescence light emitted by fluorescence species diffusing through a small and fixed observation volume, formed by a laser focused into the sample. Because of its great potential and high versatility in addressing the diffusion and transport properties in complex systems, FCS has been successfully applied to a great variety of systems. In my thesis, I focused on the application of FCS to study the diffusion of fluorescence molecules in organic environments, especially in polymer melts. In order to examine our FCS setup and a developed measurement protocol, I first utilized FCS to measure tracer diffusion in polystyrene (PS) solutions, for which abundance data exist in the literature. I studied molecular and polymeric tracer diffusion in polystyrene solutions over a broad range of concentrations and different tracer and matrix molecular weights (Mw). Then FCS was further established to study tracer dynamics in polymer melts. In this part I investigated the diffusion of molecular tracers in linear flexible polymer melts [polydimethylsiloxane (PDMS), polyisoprene (PI)], a miscible polymer blend [PI and poly vinyl ethylene (PVE)], and star-shaped polymer [3-arm star polyisoprene (SPI)]. The effects of tracer sizes, polymer Mw, polymer types, and temperature on the diffusion coefficients of small tracers were discussed. The distinct topology of the host polymer, i.e. star polymer melt, revealed the notably different motion of the small tracer, as compared to its linear counterpart. Finally, I emphasized the advantage of the small observation volume which allowed FCS to investigate the tracer diffusions in heterogeneous systems; a swollen cross-linked PS bead and silica inverse opals, where high spatial resolution technique was required.

Thermal Casimir effect at fluid interfaces: Fluctuation-induced forces between anisotropic colloids

We study the effective interaction between two ellipsoidal particles at the interface of two fluid phases which are mediated by thermal fluctuations of the interface. Within a coarse-grained picture, the properties of fluid interfaces are very well described by an effective capillary wave Hamiltonian which governs both the equilibrium interface configuration and the thermal fluctuations (capillary waves) around this equilibrium (or mean-field) position. As postulated by the Goldstone theorem the capillary waves are long-range correlated. The interface breaks the continuous translational symmetry of the system, and in the limit of vanishing external fields - like gravity - it has to be accompanied by easily excitable long wavelength (Goldstone) modes – precisely the capillary waves. In this system the restriction of the long-ranged interface fluctuations by particles gives rise to fluctuation-induced forces which are equivalent to interactions of Casimir type and which are anisotropic in the interface plane. Since the position and the orientation of the colloids with respect to the interface normal may also fluctuate, this system is an example for the Casimir effect with fluctuating boundary conditions. In the approach taken here, the Casimir interaction is rewritten as the interaction between fluctuating multipole moments of an auxiliary charge density-like field defined on the area enclosed by the contact lines. These fluctuations are coupled to fluctuations of multipole moments of the contact line position (due to the possible position and orientational fluctuations of the colloids). We obtain explicit expressions for the behavior of the Casimir interaction at large distances for arbitrary ellipsoid aspect ratios. If colloid fluctuations are suppressed, the Casimir interaction at large distances is isotropic, attractive and long ranged (double-logarithmic in the distance). If, however, colloid fluctuations are included, the Casimir interaction at large distances changes to a power law in the inverse distance and becomes anisotropic. The leading power is 4 if only vertical fluctuations of the colloid center are allowed, and it becomes 8 if also orientational fluctuations are included.

Liquid crystalline phases of anisotropic, polymer functionalized nanoparticles

Diese Arbeit beschäftigt sich mit der Polymerfunktionalisierung formanisotroperrnNanopartikel wie TiO2 Nanostäbchen oder Kohlenstoff Nanoröhren. Dies dient derrnSolubilisierung und sterischen Stabilisierung in organischen Medien, da diesernionenfrei hergestellt werden können, was eine Nutzung für nanoskopische,rnelektrische Schaltkreise ermöglicht. Die Polymere wurden mittels der RAFTrn(reversible addition-fragmentation chain transfer) Polymerisation mit engenrnMolekulargewichtsverteilungen hergestellt. Im Detail wurden Ankergruppen inrnBlockcopolymere und an der Alphaposition eingeführt, welche eine Anbindung an diernNanopartikeloberfläche ermöglichen. Die Polymere wurden durch Variation derrnverschiedenen Blocklängen für eine bestmögliche Adsorption optimiert. Die sorngewonnenen Polymer funktionalisierten Nanopartikel zeigten eine gute Löslichkeit inrnorganischen Medien und zeigten zudem eine lyotropes, flüssigkristallinesrnPhasenverhalten. Dies war aufgrund der Formanisotropie zu erwarten, zeigte jedochrnebenfalls ein unerwartetes thermotropes Verhalten, welches durch die Polymerhüllernerzeugt wurde. Die Flüssigkristalle wurden eingehend mittels polarisierterrnMikroskopie und Differential Scanning Calorimetry (DSC) untersucht. Diernflüssigkristallinen Phasen aus Nanostäbchen und –röhren wurde dann zurrnOrientierung der anisotropen Nanopartikel benutzt und es konnten makroskopischrngeordnete Proben hergestellt werden. Die Polymerhülle um die Nanopartikelrnermöglichte es ebenfalls diese in Polymerfilme einzuarbeiten und sornNanopartikelverstärkte Kunststoffe herzustellen.

Wet chemistry synthesis towards nanostructures of thermoelectric antimonides

Die vorliegende Arbeit befasst sich mit der Synthese von nanostrukturierten Antimoniden, wobei die folgenden beiden Themen bearbeitet wurden: rnAus chemischer Sicht wurden neue Synthesewege entwickelt, um Nanopartikel der Verbindungen in den binären Systemen Zn-Sb und Fe-Sb herzustellen (Zn4Sb3, ZnSb, FeSb2, Fe1+xSb). Anders als in konventionellen Festkörperreaktionen, die auf die Synthese von Bulk-Materialien oder Einkristallen zielen, muss die Synthese von Nanopartikeln Agglomerate und Ostwald-Wachstum vermeiden. Daher benötigen annehmbare Reaktionszeiten und vergleichsweise tiefe Reaktionstemperaturen kurze Diffusionswege und tiefe Aktivierungsbarrieren. Demzufolge bedient sich die Synthese der Reaktion von Antimon-Nanopartikeln und geeigneten molekularen oder nanopartikulären Edukten der entsprechenden Übergangsmetalle. Zusätzlich wurden anisotrope ZnSb Strukturen synthetisiert, indem eine Templat-Synthese mit Hilfe von anodisierten Aluminiumoxid- oder Polycarbonat-Membranen angewandt wurde. rnDie erhaltenen Produkte wurden hauptsächlich durch Röntgen-Diffraktion und Elektronenmikroskopie untersucht. Die Auswertung der Pulver Röntgendiffraktions-Daten stellte eine Herausforderung dar, da die Nanostrukturierung und die Anwesenheit von mehreren Phasen zu verbreiterten und überlagernden Reflexen führen. Zusätzliche Fe-Mößbauer Messungen wurden im Falle der Fe-Sb Produkte vorgenommen, um detailliertere Informationen über die genaue Zusammensetzung zu erhalten. Die erstmals hergestellte Phase Zn1+xSb wurde einer detaillierten Kristallstrukturanalyse unterzogen, die mit Hilfe einer neuen Diffraktionsmethode, der automatisierten Elektronen Diffraktions Tomographie, durchgeführt wurde.rnrnAus physikalischer Sicht sind Zn4Sb3, ZnSb und FeSb2 interessante thermoelektrische Materialien, die aufgrund ihrer Fähigkeit thermische in elektrische Energie umzuwandeln, großes Interesse geweckt haben. Nanostrukturierte thermoelektrische Materialien zeigen dabei eine höhere Umwandlungseffizienz zu erhöhen, da deren thermische Leitfähigkeit herabgesetzt ist. Da thermoelektrische Bauteile aus dichten Bulk-Materialien gefertigt werden, spielte die Verfestigung der synthetisierten nanopartikulären Pulver eine große Rolle. Die als „Spark Plasma Sintering“ bezeichnete Methode wurde eingesetzt, um die Proben zu pressen. Dies ermöglicht schnelles Heizen und Abkühlen der Probe und kann so das bei klassischen Heißpress-Methoden unvermeidliche Kristallitwachstum verringern. Die optimalen Bedingungen für das Spark Plasma Sintern zu finden, ist Inhalt von bestehender und weiterführender Forschung. rnEin Problem stellt die Stabilität der Proben während des Sinterns dar. Trotz des schnellen Pressens wurde eine teilweise Zersetzung im Falle des Zn1+xSb beobachtet, wie mit Hilfe von Synchrotrondiffraktionsuntersuchungen aufgedeckt wurde. Morphologie und Dichte der verschiedenen verfestigten Materialien wurden mittels Rasterelektronenmikroskopie und Lasermikroskopie bestimmt. Die Gitterdynamik wurde mit Hilfe von Wärmekapazitätsmessungen- und inelastischer Kern-Streuung untersucht. Die Wärmeleitfähigkeit der nanostrukturierten Materialien ist im Vergleich zu den Festkörpern ist drastisch reduziert - im Falle des FeSb2 um mehr als zwei Größenordnungen. Abhängig von der Zusammensetzung und mechanischen Härte wurden für einen Teil der verfestigten Nanomaterialien die thermoelektrische Eigenschaften, wie Seebeck Koeffizient, elektrische und Wärmeleitfähigkeit, gemessen.rn

Hundertneunundzwanzig Xe NMR for investigations of complex and dynamic systems

In this work, the remarkable versatility and usefulness of applications of Xe-129 NMR experiments is further extended. The application of Xe-129 NMR spectroscopy to very different system is studied, including dynamic and static, solid and liquid, porous and non-porous systems. Using the large non-equilibrium polarization created by hyperpolarization of Xe-129, time-resolved NMR measurements can be used for the online-monitoring of dynamic systems. In the first part of this work, several improvements for medical applications of hyperpolarized Xe-129 are achieved and their feasibility shown experimentally. A large gain in speed and reproducibility of the accumulation process of Xe-129 as ice and an enhancement of the usable polarization in any experiment requiring prior accumulation are achieved. An enhancement of the longitudinal relaxation time of Xe-129 is realized by admixture of a buffer gas during the storage of hyperpolarized Xe-129. Pursuing the efforts of simplifying the accumulation process and enhancing the storage time of hyperpolarized Xe-129 will allow for a wider use of the hyperpolarized gas in (medical) MRI experiments. Concerning the use of hyperpolarized Xe-129 in MRI, the influence of the diffusion coefficient of the gas on parameters of the image contrast is experimentally demonstrated here by admixture of a buffer gas and thus changing the diffusion coefficient. In the second part of this work, a polymer system with unique features is probed by Xe-129 NMR spectroscopy, proving the method to be a valuable tool for the characterization of the anisotropic properties of semicrystalline, syndiotactic polystyrene films. The polymer films contain hollow cavities or channels with sizes in the sub-nanometer range, allowing for adsorption of Xe-129 and subsequent NMR measurements. Despite the use of a ’real-world’ system, the transfer of the anisotropic properties from the material to adsorbed Xe-129 atoms is shown, which was previously only known for fully crystalline materials. The anisotropic behavior towards atomar guests inside the polymer films is proven here for the first time for one of the phases. For the polymer phase containing nanochannels, the dominance of interactions between Xe-129 atoms in the channels compared to interactions between Xe atoms and the channel walls are proven by measurements of a powder sample of the polymer material and experiments including the rotation of the films in the external magnetic field as well as temperature-dependent measurements. The characterization of ’real-world’ systems showing very high degrees of anisotropy by Xe-129 are deemed to be very valuable in future applications. In the last part of this work, a new method for the online monitoring of chemical reactions has been proposed and its feasibility and validity are experimentally proven. The chemical shift dependence of dissolved Xe-129 on the composition of a reaction mixture is used for the online monitoring of free-radical miniemulsion polymerization reactions. Xe-129 NMR spectroscopy provides an excellent method for the online monitoring of polymerization reactions, due to the simplicity of the Xe-129 NMR spectra and the simple relationship between the Xe-129 chemical shift and the reaction conversion. The results of the time-resolved Xe-129 NMR measurements are compared to those from calorimetric measurements, showing a good qualitative agreement. The applicability of the new method to reactions other than polymerization reactions is investigated by the online monitoring of an enzymatic reaction in a miniemulsion. The successful combination of the large sensitivity of Xe-129, the NMR signal enhancements due to hyperpolarization, and the solubility of Xe-129 gives access to the large new field of investigations of chemical reaction kinetics in dynamic and complex systems like miniemulsions.

Tracer diffusion at water-oil interfaces studied by fluorescence correlation spectroscopy

The adsorption of particles and surfactants at water-oil interfaces has attracted continuous attention because of its emulsion stabilizing effect and the possibility to form two-dimensional materials. Herein, I studied the interfacial diffusion of single molecules and nanoparticles at water-oil interfaces using fluorescence correlation spectroscopy. rnrnFluorescence correlation spectroscopy (FCS) is a promising technique to study diffusion of fluorescent tracers in diverse conditions. This technique monitors and analyzes the fluorescence fluctuation caused by single fluorescent tracers coming in and out of a diffraction-limited observation volume “one at a time”. Thus, this technique allows a combination of high precision, high spatial resolution and low tracer concentration. rnrnIn chapter 1, I discussed some controversial questions regarding the properties of water-hydrophobic interfaces and also introduced the current progress on the stability and dynamic of single nanoparticles at water-oil interfaces. The materials and setups I used in this thesis were summarized in chapter 2. rnrnIn chapter 3, I presented a new strategy to study the properties of water-oil interfaces. The two-dimensional diffusion of isolated molecular tracers at water/n-alkane interfaces was measured using fluorescence correlation spectroscopy. The diffusion coefficients of larger tracers with a hydrodynamic radius of 4.0 nm agreed well with the values calculated from the macroscopic viscosities of the two bulk phases. However, for small molecule tracers with hydrodynamic radii of only 1.0 and 0.6 nm, notable deviations were observed, indicating the existence of an interfacial region with a reduced effective viscosity. rnrnIn chapter 4, the interfacial diffusion of nanoparticles at water-oil interfaces was investigated using FCS. In stark contrast to the interfacial diffusion of molecular tracers, that of nanoparticles at any conditions is slower than the values calculated in accordance to the surrounding viscosity. The diffusion of nanoparticles at water-oil interfaces depended on the interfacial tension of liquid-liquid interfaces, the surface properties of nanoparticles, the particle sizes and the viscosities of surrounding liquid phases. In addition, the interfacial diffusion of nanoparticles with Janus motif is even slower than that of their symmetric counterparts. Based on the experimental results I obtained, I drew some possibilities to describe the origin of nanoparticle slowdown at water-oil interfaces.