Vortex dynamics in the high-temperature superconductors YBa 2 Cu 3 O 7 and Bi 2 Sr 2 CaCu 2 O 8 + delta in low- and high-dissipative transport measurements

This thesis investigates phenomena of vortex dynamics in type II superconductors depending on the dimensionality of the flux-line system and the strength of the driving force. In the low dissipative regime of Bi_2Sr_2CaCu_2O_{8+delta} (BSCCO) the influence of oxygen stoichiometry on flux-line tension was examined. An entanglement crossover of the vortex system at low magnetic fields was identified and a comprehensive B-T phase diagram of solid and fluid phases derived.In YBa_2Cu_3O_7 (YBCO) extremely long (>100 mm) high-quality measurement bridges allowed to extend the electric-field window in transport measurements by up to three orders of magnitude. Complementing analyses of the data conclusively produced dynamic exponents of the glass transition z~9 considerably higher than theoretically predicted and previously reported. In high-dissipative measurements a voltage instability appearing in the current-voltage characteristics of type II superconductors was observed for the first time in BSCCO and shown to result from a Larkin-Ovchinnikov flux-flow vortex instability under the influence of quasi-particle heating. However, in an analogous investigation of YBCO the instability was found to appear only in the temperature and magnetic-field regime of the vortex-glass state. Rapid-pulse measurements fully confirmed this correlation of vortex glass and instability in YBCO and revealed a constant rise time (~µs).

The grain-scale distribution and behaviour of melt and fluid in crystalline analogue systems

The production, segregation and migration of melt and aqueous fluids (henceforth called liquid) plays an important role for the transport of mass and energy within the mantle and the crust of the Earth. Many properties of large-scale liquid migration processes such as the permeability of a rock matrix or the initial segregation of newly formed liquid from the host-rock depends on the grain-scale distribution and behaviour of liquid. Although the general mechanisms of liquid distribution at the grain-scale are well understood, the influence of possibly important modifying processes such as static recrystallization, deformation, and chemical disequilibrium on the liquid distribution is not well constrained. For this thesis analogue experiments were used that allowed to investigate the interplay of these different mechanisms in-situ. In high-temperature environments where melts are produced, the grain-scale distribution in “equilibrium” is fully determined by the liquid fraction and the ratio between the solid-solid and the solid-liquid surface energy. The latter is commonly expressed as the dihedral or wetting angle between two grains and the liquid phase (Chapter 2). The interplay of this “equilibrium” liquid distribution with ongoing surface energy driven recrystallization is investigated in Chapter 4 and 5 with experiments using norcamphor plus ethanol liquid. Ethanol in contact with norcamphor forms a wetting angle of about 25°, which is similar to reported angles of rock-forming minerals in contact with silicate melt. The experiments in Chapter 4 show that previously reported disequilibrium features such as trapped liquid lenses, fully-wetted grain boundaries, and large liquid pockets can be explained by the interplay of the liquid with ongoing recrystallization. Closer inspection of dihedral angles in Chapter 5 reveals that the wetting angles are themselves modified by grain coarsening. Ongoing recrystallization constantly moves liquid-filled triple junctions, thereby altering the wetting angles dynamically as a function of the triple junction velocity. A polycrystalline aggregate will therefore always display a range of equilibrium and dynamic wetting angles at raised temperature, rather than a single wetting angle as previously thought. For the deformation experiments partially molten KNO3–LiNO3 experiments were used in addition to norcamphor–ethanol experiments (Chapter 6). Three deformation regimes were observed. At a high bulk liquid fraction >10 vol.% the aggregate deformed by compaction and granular flow. At a “moderate” liquid fraction, the aggregate deformed mainly by grain boundary sliding (GBS) that was localized into conjugate shear zones. At a low liquid fraction, the grains of the aggregate formed a supporting framework that deformed internally by crystal plastic deformation or diffusion creep. Liquid segregation was most efficient during framework deformation, while GBS lead to slow liquid segregation or even liquid dispersion in the deforming areas.

Optimised polyolefin branch quantification by 13 C NMR spectroscopy

Quantitative branch determination in polyolefins by solid- and melt-state 13C NMR has been investigated. Both methods were optimised toward sensitivity per unit time. While solid-state NMR was shown to give quick albeit only qualitative results, melt-state NMR allowed highly time efficient accurate branch quantification. Comparison of spectra obtained using spectrometers operating at 300, 500 and 700 MHz 1H Larmor frequency, with 4 and 7~mm MAS probeheads, showed that the best sensitivity was achieved at 500 MHz using a 7 mm 13C-1H optimised high temperature probehead. For materials available in large quantities, static melt-state NMR, using large diameter detection coils and high coil filling at 300 MHz, was shown to produce comparable results to melt-state MAS measurements in less time. While the use of J-coupling mediated polarisation transfer techniques was shown to be possible, direct polarisation via single-pulse excitation proved to be more suitable for branch quantification in the melt-state. Artificial line broadening, introduced by FID truncation, was able to be reduced by the use of π pulse-train heteronuclear dipolar decoupling. This decoupling method, when combined with an extended duty-cycle, allowed for significant improvement in resolution. Standard setup, processing and analysis techniques were developed to minimise systematic errors contributing to the measured branch contents. The final optimised melt-state MAS NMR method was shown to allow time efficient quantification of comonomer content and distribution in both polyethylene- and polypropylene-co-α-olefins. The sensitivity of the technique was demonstrated by quantifying branch concentrations of 8 branches per 100,000 CH2 for an industrial ‘linear’ polyethylene in only 13 hours. Even lower degrees of 3–8 long-chain branches per 100,000 carbons were able to be estimated in just 24 hours for a series of γ-irradiated polypropylene homopolymers.

Pinning-Effekte kolumnarer Schwerionenspuren in Kuprat-Supraleiter-Dünnschichten

In this work the flux line dynamics in High-Temperature Superconductor (HTSC) thin films in the presence of columnar defects was studied using electronic transport measurements. The columnar defects which are correlated pinning centers for vortices were generated by irradiation with swift heavy ions at the Gesellschaft für Schwerionenforschung (GSI) in Darmstadt. In the first part, the vortex dynamics is discussed within the framework of the Bose-glass model. This approach describes the continuous transition from a vortex liquid to a Bose-glass phase which is characterized by the localization of the flux lines at the columnar defects. The critical behavior of the characteristic length and time scales for temperatures in the vicinity of this phase transition were probed by scaling properties of experimentally obtained current-voltage characteristics. In contrast to the predicted universal properties of the critical behavior the scaling analysis shows a strong dependence of the dynamic critical exponent on the experimentally accessible electric field range. In addition, the predicted divergence of the activation energy in the limit of low current densities was experimentally not confirmed.The dynamic behavior of flux lines in spatially resolved irradiation geometries is reported in the second part. Weak pinning channels with widths between 10 µm and 100 µm were generated in a strong pinning environment with the use of metal masks and the GSI microprobe, respectively. Measurements of the anisotropic transport properties of these structures show a striking resemblance to the results in YBCO single crystals with unidirected twin boundaries which were interpreted as a guided vortex motion effect. The use of two additional test bridges allowed to determine in parallel the resistivities of the irradiated and unirradiated parts as well as the respective current-voltage characteristics. These measurements provided the input parameters for a numerical simulation of the potential distribution in the spatially resolved irradiation geometry. The results are interpreted within a model that describes the hydrodynamic interaction between a Bose-glass phase and a vortex liquid. The interface between weakly pinned flux lines in the unirradiated channels and strongly pinned vortices leads to a nonuniform vortex velocity profile and therefore a variation of the local electric field. The length scale of these interactions was estimated for the first time in measuring the local variation of the electric field profile in a Bose-glass contact.Finally, a method for the determination of the true temperature in HTSC thin films at high dissipation levels is described. In this regime of electronic transport the occurrence of a flux flow instability is accompanied by heating effects in the vortex system. The heat propagation properties of the film/substrate system are deduced from the time dependent voltage response to a short high current density pulse of rectangular shape. The influence of heavy ion irradiation on the heat resistance at the film/substrate interface is studied.

Magnetic properties of selected 3d- and 4f-systems on alpha-Al 2 O 3 substrates

In this work the growth and the magnetic properties of the transition metals molybdenum, niobium, and iron and of the highly-magnetostrictive C15 Laves phases of the RFe2 compounds (R: Rare earth metals: here Tb, Dy, and Tb{0.3}Dy{0.7} deposited on alpha-Al2O3 (sapphire) substrates are analyzed. Next to (11-20) (a-plane) oriented sapphire substrates mainly (10-10) (m-plane) oriented substrates were used. These show a pronounced facetting after high temperature annealing in air. Atomic force microscopy (AFM) measurements reveal a dependence of the height, width, and angle of the facets with the annealing temperature. The observed deviations of the facet angles with respect to the theoretical values of the sapphire (10-1-2) and (10-11) surfaces are explained by cross section high resolution transmission electron microscopy (HR-TEM) measurements. These show the plain formation of the (10-11) surface while the second, energy reduced (10-1-2) facet has a curved shape given by atomic steps of (10-1-2) layers and is formed completely solely at the facet ridges and valleys. Thin films of Mo and Nb, respectively, deposited by means of molecular beam epitaxy (MBE) reveal a non-twinned, (211)-oriented epitaxial growth as well on non-faceted as on faceted sapphire m-plane, as was shown by X-Ray and TEM evaluations. In the case of faceted sapphire the two bcc crystals overgrow the facets homogeneously. Here, the bcc (111) surface is nearly parallel to the sapphire (10-11) facet and the Mo/Nb (100) surface is nearly parallel to the sapphire (10-1-2) surface. (211)-oriented Nb templates on sapphire m-plane can be used for the non-twinned, (211)-oriented growth of RFe2 films by means of MBE. Again, the quality of the RFe2 films grown on faceted sapphire is almost equal to films on the non-faceted substrate. For comparison thin RFe2 films of the established (110) and (111) orientation were prepared. Magnetic and magnetoelastic measurements performed in a self designed setup reveal a high quality of the samples. No difference between samples with undulated and flat morphology can be observed. In addition to the preparation of covering, undulating thin films on faceted sapphire m-plane nanoscopic structures of Nb and Fe were prepared by shallow incidence MBE. The formation of the nanostructures can be explained by a shadowing of the atomic beam due to the facets in addition to de-wetting effects of the metals on the heated sapphire surface. Accordingly, the nanostructures form at the facet ridges and overgrow them. The morphology of the structures can be varied by deposition conditions as was shown for Fe. The shape of the structures vary from pearl-necklet strung spherical nanodots with a diameter of a few 10 nm to oval nanodots of a few 100 nm length to continuous nanowires. Magnetization measurements reveal uniaxial magnetic anisotropy with the easy axis of magnetization parallel to the facet ridges. The shape of the hysteresis is depending on the morphology of the structures. The magnetization reversal processes of the spherical and oval nanodots were simulated by micromagnetic modelling and can be explained by the formation of magnetic vortices.

Präparation, Charakterisierung und elektronische Eigenschaften von dünnen Schichten des Hochtemperatursupraleiters HgReBa 2 Ca n-1 Cu n O y

Ziel dieser Arbeit war die Pr"{a}paration, Charakterisierung und Untersuchung der elektronischen Eigenschaften von d"{u}nnen Schichten des Hochtemperatursupraleiters HgReBa$_{2}$Ca$_{n-1}$Cu$_{n}$O$_{y}$, die mittels gepulster Laser-Deposition hergestellt wurden. Die HgRe1212-Filme zeigen in der AC-Suszeptibilit"{a}t einen scharfen "{U}bergang in die supraleitende Phase bei 124 K mit einer "{U}bergangsbreite von 2 K. Die resistiven "{U}berg"{a}nge der Proben wurden mit zunehmender St"{a}rke des externen Magnetfeldes breiter. Aus der Steigung der Arrheniusplots konnte die Aktivierungsenergie f"{u}r verschiedene Feldst"{a}rken bestimmt werden. Weiterhin wurde die Winkelabh"{a}ngigkeit des Depinning-Feldes $B_{dp}(theta)$ der Filme gemessen. Hieraus wurde ein Anisotropiewert von $gamma$ = 7.7 bei 105 K ermittelt. Dies ist relevant, um den f"{u}r Anwendungen wichtigen Bereich im $T$-$B$-$theta$-Phasenraum des Materials absch"{a}tzen zu k"{o}nnen. Die kritische Stromdichte $J_{c}$ der d"{u}nnen Filme aus HgRe-1212 wurde mit Hilfe eines SQUID-Magnetometers gemessen. Die entsprechenden $M$-$H$ Kurven bzw. das magnetische Moment dieser Filme wurde f"{u}r einen weiten Temperatur- und Feldbereich mit einem magnetischen Feld senkrecht zum Film aufgenommen. F"{u}r einen HgRe-1212-Film konnte bei 5 K eine kritische Stromdichte von 1.2 x 10$^{7}$ A/cm$^{2}$ und etwa 2 x 10$^{6}$ A/cm$^{2}$ bei 77 K ermittelt werden. Es wurde die Magnetfeld- und die Temperaturabh"{a}ngigkeit des Hall-Effekts im normalleitenden und im Mischzustand in Magnetfeldern senkrecht zur $ab$-Ebene bis zu 12 T gemessen. Oberhalb der kritischen Temperatur $T_{c}$ steigt der longitudinale spezifische Widerstand $rho_{xx}$ linear mit der Temperatur, w"{a}hrend der spezifische Hall-Widerstand $rho_{yx}$ sich umgekehrt proportional zur Temperatur "{a}ndert. In der N"{a}he von $T_{c}$ und in Feldern kleiner als 3 T wurde eine doppelte Vorzeichen"{a}nderung des spezifischen Hall-Widerstandes beobachtet. Der Hall-Winkel im Normalzustand, cot $theta_{H}= alpha T^{2} + beta$, folgt einer universellen $textit{T }^{2}$-Abh"{a}ngigkeit in allen magnetischen Feldern. In der N"{a}he des Nullwiderstand-Zustandes h"{a}ngt der spezifische Hall-Widerstand $rho_{yx}$ "{u}ber ein Potenzgesetz mit dem longitudinalen Widerstand $rho_{xx}$ zusammen. Das Skalenverhalten zwischen $rho_{yx}$ und $rho_{xx}$ weist eine starke Feld-Abh"{a}ngigkeit auf. Der Skalenexponent $beta$ in der Gleichung $rho_{yx}$ =A $rho_{xx}^{beta}$ steigt von 1.0 bis 1.7, w"{a}hrend das Feld von 1.0 bis 12 T zunimmt.

Der Einsatz elektrochemischer Methoden für die Untersuchung superschwerer Elemente

Das Hauptziel der vorliegenden Arbeit war die Entwicklung eines Experimentaufbaus für die elektrochemische Abscheidung von Transactiniden mit anschließender Detektion. Zu diesem Zweck wurden Experimente mit den Homologen dieser Elemente durchgeführt. Die Elektrodeposition von Tracermengen an Fremdelektroden führt zu einer Elektrodenbedeckung von weniger als einer Monolage. Die erforderlichen Abscheidepotentiale sind häufig positiver, als nach der Nernst’schen Gleichung zu erwarten ist. Dieses Phänomen nennt man Unterpotentialabscheidung. In zahlreichen Versuchen mit Radiotracern wurde die Abscheideausbeute als Funktion des Elektrodenpotentials bestimmt, wobei abzuscheidendes Ion, Elektrodenmaterial und Elektrolyt variiert wurden. Es wurden kritische Potentiale, bei denen eine nennenswerte Abscheidung gerade begann, ermittelt sowie Potentiale für die Abscheidung von 50 % der in der Lösung befindlichen Atome. Diese Werte wurden mit theoretisch vorhergesagten Potentialen und Werten aus der Literatur verglichen. Die Abscheidung von Pb als Homologem von Element 114 funktionierte sehr gut an Elektroden aus Palladium oder palladinierten Nickelelektroden unter Verwendung von 0,1 M HCl als Elektrolyt. Zur Charakterisierung der Unterpotentialabscheidung wurde neben der Radiotracer-Methode auch die Cyclovoltammetrie eingesetzt. Hier findet die Abscheidung der ersten Monolage auf der Elektrode ebenfalls häufig bei positiveren Potentialen statt, als die der Hauptmenge. Die mit beiden Methoden ermittelten Werte wurden einander gegenübergestellt. Die Elektrodeposition von kurzlebigen Isotopen muss sehr schnell erfolgen. Es konnte gezeigt werden, dass eine hohe Temperatur und damit verbunden eine niedrige Viskosität des Elektrolyten die Abscheidung beschleunigt. Ebenfalls wichtig ist ein gutes Rühren der Lösung, um eine kleine Nernst’sche Diffusionsschichtdicke zu erzielen. Das Verhältnis von Elektrodenfläche zu Elektrolytvolumen muss möglichst groß sein. Auf der Grundlage dieser Ergebnisse wurde eine für schnelle Elektrolysen optimierte Elektrolysezelle entwickelt. Unter Einsatz dieser Zelle wurden die Abscheidegeschwindigkeiten für verschiedene Ionen- und Elektrodenkombinationen gemessen. Es wurden Experimente zur Kopplung von Gasjet und Elektrolysezelle durchgeführt, dabei wurde sowohl mit am Reaktor erzeugten Spaltprodukten, mit Pb-Isotopen aus einer emanierenden Quelle und mit am Beschleuniger erzeugten Isotopen gearbeitet. Mit den dort gewonnenen Erkenntnissen wurde ein Experimentaufbau für die kontinuierliche Abscheidung und Detektion von kurzlebigen Isotopen realisiert. Am Beschleuniger wurden u. a. kurzlebige Hg- und Pb-Isotope erzeugt und mit einem Gasjet aus der Targetkammer zum ALOHA-System transportiert. Dort wurden sie in einem quasi-kontinuierlichen Prozess in die wässrige Phase überführt und zu einer Elektrolyszelle transportiert. In dieser erfolgte die Elektrodeposition auf eine bandförmige Elektrode aus Nickel oder palladiniertem Nickel. Nach der Abscheidung wurde das Band zu einer Detektorphalanx gezogen, wo der -Zerfall der neutronenarmen Isotope registriert wurde. Es wurden charakteristische Größen wie die Abscheidegeschwindigkeit und die Gesamtausbeute der Elektrolyse ermittelt. Das System wurde im Dauerbetrieb getestet. Es konnte gezeigt werden, dass der gewählte Aufbau prinzipiell für die Abscheidung von kurzlebigen, am Beschleuniger erzeugten Isotopen geeignet ist. Damit ist eine wichtige Voraussetzung für den zukünftigen Einsatz der Methode zum Studium der chemischen Eigenschaften der superschweren Elemente geschaffen.

Klassische und ab initio Molekulardynamik-Untersuchungen zu Germaniumdioxidschmelzen

Germaniumdioxid (GeO2) ist ein Glasbildner, der wie das homologe SiO2 ein ungeordnetes tetraedrisches Netzwerk ausbildet. In dieser Arbeit werden mit Hilfe von Molekulardynamik-Computersimulationen die Struktur und Dynamik von GeO2 in Abhängigkeit von der Temperatur untersucht. Dazu werden sowohl Simulationen mit einem klassischen Paarpotentialmodell von Oeffner und Elliott als auch ab initio-Simulationen gemäß der Car-Parrinello-Molekulardynamik (CPMD), bei der elektronische Freiheitsgrade mittels Dichtefunktionaltheorie beschrieben werden, durchgeführt. In der klassischen Simulation werden dazu ein Temperaturen zwischen 6100 K und 2530 K betrachtet. Darüberhinaus ermöglichen Abkühlläufe auf T=300 K das Studium der Struktur des Glases. Zum Vergleich werden CPMD-Simulationen für kleinere Systeme mit 60 bzw. 120 Teilchen bei den Temperaturen 3760 K und 3000 K durchgeführt. In den klassischen Simulationen kann die im Experiment bis 1700 K nachgewiesene, im Vergleich zu SiO2 starke, Temperaturabhängigkeit der Dichte auch bei höheren Temperaturen beobachtet werden. Gute Übereinstimmungen der Simulationen mit experimentellen Daten zeigen sich bei der Untersuchung verschiedener struktureller Größen, wie z.B. Paarkorrelationsfunktionen, Winkelverteilungen, Koordinationszahlen und Strukturfaktoren. Es können leichte strukturelle Abweichungen der CPMD-Simulationen von den klassischen Simulationen aufgezeigt werden: 1. Die Paarabstände in CPMD sind durchweg etwas kleiner. 2. Es zeigt sich, daß die Bindungen in den ab initio-Simulationen weicher sind, was sich auch in einer etwas stärkeren Temperaturabhängigkeit der strukturellen Größen im Vergleich zu den klassischen Simulationen niederschlägt. 3. Für CPMD kann ein vermehrtes Auftreten von Dreierringstrukturen gezeigt werden. 4. In der CPMD werden temperaturabhängige Defektstrukturen in Form von Sauerstoffpaaren beobachtet, die vor allem bei 3760 K, kaum jedoch bei 3000 K auftreten. Alle strukturellen Unterschiede zwischen klassischer und CPMD-Simulation sind eindeutig nicht auf Finite-Size-Effekte aufgrund der kleinen Systemgrößen in den CPMD-Simulationen zurückzuführen, d.h. sie sind tatsächlich methodisch bedingt. Bei der Dynamik von GeO2 wird in den klassischen Simulationen ebenfalls eine gute Übereinstimmung mit experimentellen Daten beobachtet, was ein Vergleich der Diffusionskonstanten mit Viskositätsmessungen bei hohen Temperaturen belegt. Die Diffusionskonstanten zeigen teilweise ein verschiedenes Verhalten zum homologen SiO2. Sie folgen in GeO2 bei Temperaturen unter 3000 K einem Arrheniusgesetz mit einer deutlich niedrigeren Aktivierungsenergie. Darüberhinaus werden die Möglichkeiten der Parametrisierung eines neuen klassischen Paarpotentials mittels der Kräfte entlang der CPMD-Trajektorien untersucht. Es zeigt sich, daß derartige Parametrisierungen sehr stark von den gewählten Startparametern abhängen. Ferner führen sämtliche an die Schmelze parametrisierten Potentiale zu zu hohen Dichten im Vergleich zum Experiment. Zum einen liegt dies sehr wahrscheinlich daran,daß für das System GeO2 Kraftdaten allein nicht ausreichen, um grundlegende strukturelle Größen, wie z.B. Paarkorrelationen und Winkelverteilungen, der CPMD-Simulationen gut reproduzieren zu können. Zum anderen ist wohl die Beschreibung mittels Paarpotentialen nicht ausreichend und es ist erforderlich, Merkörperwechselwirkungen in Betracht zu ziehen.

Anwendung der geoelektrischen 3D-Tomographie für die Analyse thermisch induzierter Strömungen im Labor

Sowohl in der Natur als auch in der Industrie existieren thermisch induzierte Strömungen. Von Interesse für diese Forschungsarbeit sind dabei die Konvektionen im Erdmantel sowie in den Glasschmelzwannen. Der dort stattfindende Materialtransport resultiert aus Unterschieden in der Dichte, der Temperatur und der chemischen Konzentration innerhalb des konvektierenden Materials. Um das Verständnis für die ablaufenden Prozesse zu verbessern, werden von zahlreichen Forschergruppen numerische Modellierungen durchgeführt. Die Verifikation der dafür verwendeten Algorithmen erfolgt meist über die Analyse von Laborexperimenten. Im Vordergrund dieser Forschungsarbeit steht die Entwicklung einer Methode zur Bestimmung der dreidimensionalen Temperaturverteilung für die Untersuchung von thermisch induzierten Strömungen in einem Versuchsbecken. Eine direkte Temperaturmessung im Inneren des Versuchsmaterials bzw. der Glasschmelze beeinflusst allerdings das Strömungsverhalten. Deshalb wird die geodynamisch störungsfrei arbeitende Impedanztomographie verwendet. Die Grundlage dieser Methode bildet der erweiterte Arrhenius-Zusammenhang zwischen Temperatur und spezifischer elektrischer Leitfähigkeit. Während der Laborexperimente wird ein zähflüssiges Polyethylenglykol-Wasser-Gemisch in einem Becken von unten her erhitzt. Die auf diese Weise generierten Strömungen stellen unter Berücksichtigung der Skalierung ein Analogon sowohl zu dem Erdmantel als auch zu den Schmelzwannen dar. Über mehrere Elektroden, die an den Beckenwänden installiert sind, erfolgen die geoelektrischen Messungen. Nach der sich anschließenden dreidimensionalen Inversion der elektrischen Widerstände liegt das Modell mit der Verteilung der spezifischen elektrischen Leitfähigkeit im Inneren des Versuchsbeckens vor. Diese wird mittels der erweiterten Arrhenius-Formel in eine Temperaturverteilung umgerechnet. Zum Nachweis der Eignung dieser Methode für die nichtinvasive Bestimmung der dreidimensionalen Temperaturverteilung wurden mittels mehrerer Thermoelemente an den Beckenwänden zusätzlich direkte Temperaturmessungen durchgeführt und die Werte miteinander verglichen. Im Wesentlichen sind die Innentemperaturen gut rekonstruierbar, wobei die erreichte Messgenauigkeit von der räumlichen und zeitlichen Auflösung der Gleichstromgeoelektrik abhängt.

Morphology and charge transport in conjugated polymers

To assist rational compound design of organic semiconductors, two problems need to be addressed. First, the material morphology has to be known at an atomistic level. Second, with the morphology at hand, an appropriate charge transport model needs to be developed in order to link charge carrier mobility to structure.rnrnThe former can be addressed by generating atomistic morphologies using molecular dynamics simulations. However, the accessible range of time- and length-scales is limited. To overcome these limitations, systematic coarse-graining methods can be used. In the first part of the thesis, the Versatile Object-oriented Toolkit for Coarse-graining Applications is introduced, which provides a platform for the implementation of coarse-graining methods. Tools to perform Boltzmann inversion, iterative Boltzmann inversion, inverse Monte Carlo, and force-matching are available and have been tested on a set of model systems (water, methanol, propane and a single hexane chain). Advantages and problems of each specific method are discussed.rnrnIn partially disordered systems, the second issue is closely connected to constructing appropriate diabatic states between which charge transfer occurs. In the second part of the thesis, the description initially used for small conjugated molecules is extended to conjugated polymers. Here, charge transport is modeled by introducing conjugated segments on which charge carriers are localized. Inter-chain transport is then treated within a high temperature non-adiabatic Marcus theory while an adiabatic rate expression is used for intra-chain transport. The charge dynamics is simulated using the kinetic Monte Carlo method.rnrnThe entire framework is finally employed to establish a relation between the morphology and the charge mobility of the neutral and doped states of polypyrrole, a conjugated polymer. It is shown that for short oligomers, charge carrier mobility is insensitive to the orientational molecular ordering and is determined by the threshold transfer integral which connects percolating clusters of molecules that form interconnected networks. The value of this transfer integral can be related to the radial distribution function. Hence, charge mobility is mainly determined by the local molecular packing and is independent of the global morphology, at least in such a non-crystalline state of a polymer.

Structure property relations in complex copolymer systems

A thorough investigation was made of the structure-property relation of well-defined statistical, gradient and block copolymers of various compositions. Among the copolymers studied were those which were synthesized using isobornyl acrylate (IBA) and n-butyl acrylate (nBA) monomer units. The copolymers exhibited several unique properties that make them suitable materials for a range of applications. The thermomechanical properties of these new materials were compared to acrylate homopolymers. By the proper choice of the IBA/nBA monomer ratio, it was possible to tune the glass transition temperature of the statistical P(IBA-co-nBA) copolymers. The measured Tg’s of the copolymers with different IBA/nBA monomer ratios followed a trend that fitted well with the Fox equation prediction. While statistical copolymers showed a single glass transition (Tg between -50 and 90 ºC depending on composition), DSC block copolymers showed two Tg’s and the gradient copolymer showed a single, but very broad, glass transition. PMBL-PBA-PMBL triblock copolymers of different composition ratios were also studied and revealed a microphase separated morphology of mostly cylindrical PMBL domains hexagonally arranged in the PBA matrix. DMA studies confirmed the phase separated morphology of the copolymers. Tensile studies showed the linear PMBL-PBA-PMBL triblock copolymers having a relatively low elongation at break that was increased by replacing the PMBL hard blocks with the less brittle random PMBL-r-PMMA blocks. The 10- and 20-arm PBA-PMBL copolymers which were studied revealed even more unique properties. SAXS results showed a mixture of cylindrical PMBL domains hexagonally arranged in the PBA matrix, as well as lamellar. Despite PMBL’s brittleness, the triblock and multi-arm PBA-PMBL copolymers could become suitable materials for high temperature applications due to PMBL’s high glass transition temperature and high thermal stability. The structure-property relation of multi-arm star PBA-PMMA block copolymers was also investigated. Small-angle X-ray scattering revealed a phase separated morphology of cylindrical PMMA domains hexagonally arranged in the PBA matrix. DMA studies found that these materials possess typical elastomeric behavior in a broad range of service temperatures up to at least 250°C. The ultimate tensile strength and the elastic modulus of the 10- and 20-arm star PBA-PMMA block copolymers are significantly higher than those of their 3-arm or linear ABA type counterparts with similar composition, indicating a strong effect of the number of arms on the tensile properties. Siloxane-based copolymers were also studied and one of the main objectives here was to examine the possibility to synthesize trifluoropropyl-containing siloxane copolymers of gradient distribution of trifluoropropyl groups along the chain. DMA results of the PDMS-PMTFPS siloxane copolymers synthesized via simultaneous copolymerization showed that due to the large difference in reactivity rates of 2,4,6-tris(3,3,3-trifluoropropyl)-2,4,6-trimethylcyclotrisiloxane (F) and hexamethylcyclotrisiloxane (D), a copolymer of almost block structure containing only a narrow intermediate fragment with gradient distribution of the component units was obtained. A more dispersed distribution of the trifluoropropyl groups was obtained by the semi-batch copolymerization process, as the DMA results revealed more ‘‘pure gradient type’’ features for the siloxane copolymers which were synthesized by adding F at a controlled rate to the polymerization of the less reactive D. As with trifluoropropyl-containing siloxane copolymers, vinyl-containing polysiloxanes may be converted to a variety of useful polysiloxane materials by chemical modification. But much like the trifluoropropyl-containing siloxane copolymers, as a result of so much difference in the reactivities between the component units 2,4,6-trivinyl-2,4,6-trimethylcyclotrisiloxane (V) and hexamethylcyclotrisiloxane (D), thermal and mechanical properties of the PDMS-PMVS copolymers obtained by simultaneous copolymerization was similar to those of block copolymers. Only the copolymers obtained by semi-batch method showed properties typical for gradient copolymers.

Charge transport in amorphous organic semiconductors

Organic semiconductors with the unique combination of electronic and mechanical properties may offer cost-effective ways of realizing many electronic applications, e.g. large-area flexible displays, printed integrated circuits and plastic solar cells. In order to facilitate the rational compound design of organic semiconductors, it is essential to understand relevant physical properties e.g. charge transport. This, however, is not straightforward, since physical models operating on different time and length scales need to be combined. First, the material morphology has to be known at an atomistic scale. For this atomistic molecular dynamics simulations can be employed, provided that an atomistic force field is available. Otherwise it has to be developed based on the existing force fields and first principle calculations. However, atomistic simulations are typically limited to the nanometer length- and nanosecond time-scales. To overcome these limitations, systematic coarse-graining techniques can be used. In the first part of this thesis, it is demonstrated how a force field can be parameterized for a typical organic molecule. Then different coarse-graining approaches are introduced together with the analysis of their advantages and problems. When atomistic morphology is available, charge transport can be studied by combining the high-temperature Marcus theory with kinetic Monte Carlo simulations. The approach is applied to the hole transport in amorphous films of tris(8-hydroxyquinoline)aluminium (Alq3). First the influence of the force field parameters and the corresponding morphological changes on charge transport is studied. It is shown that the energetic disorder plays an important role for amorphous Alq3, defining charge carrier dynamics. Its spatial correlations govern the Poole-Frenkel behavior of the charge carrier mobility. It is found that hole transport is dispersive for system sizes accessible to simulations, meaning that calculated mobilities depend strongly on the system size. A method for extrapolating calculated mobilities to the infinite system size is proposed, allowing direct comparison of simulation results and time-of-flight experiments. The extracted value of the nondispersive hole mobility and its electric field dependence for amorphous Alq3 agree well with the experimental results.

Synthesis of new xanthene derivatives

Xanthene dyes, including fluorescein, are a well-known class of fluorescent dyes, which have widespread applications in natural sciences. The synthesis of xanthene derivatives via acid catalyzed condensation of substituted phenols with phthalic anhydride, to afford the asymmetric derivatives, is well established. The high temperature, harsh reaction conditions and often low yields make this method less convenient. The synthesis of xanthene dyes by direct modification of the fluorophore moiety is a great option to circumvent the above mentioned drawbacks. rnOur new synthetic strategy for the preparation of novel asymmetric xanthene dyes via direct conversion of hydroxyl groups on 3'- and 6'-positions into leaving groups by mesylation is reported. It was discovered that 3',6'-di-mesylated fluorescein underwent a nucleophilic aromatic substitution with sulfur nucleophiles and afforded new asymmetric xanthene sulfides. rnThe impact of substituents possessing an electron-withdrawing character such as chlorines and bromines was investigated with the aim to improve the aromatic substitution on the electron-rich fluorescein structure. It was observed that the incorporation of these groups did not considerably affect the substitution reaction and the yields were comparable with the unsubstituted fluorescein. rnThis strategy provided novel fluorescent probes with the linker suitable to further modifications. The modifications of the linker delivered fluorescein derivatives that could be used as fluorescent labels in peptides, oligonucleotides and for cell imaging. rnThe hydroxyl group on the linker was modified to achieve potent bioconjugate functionality such as azide. The new fluorescent azides were obtained in a 4-step synthesis, namely 2-(6-(2-azidoethylthio)-3-oxo-3H-xanthen-9-yl)benzoic acid with an overall yield of 13%, its 2',7'-dichloro derivative with an overall yield of 10% and its 2',4',5'-tribromo derivative with an overall yield of 1%, respectively. rnAn asymmetric xanthene sulfide with an amino functionality placed on the aliphatic linker, namely 2-(6-((2-aminoethyl)thio)-3-oxo-3H-xanthen-9-yl)benzoic acid, was obtained in a 3-step synthesis with an overall yield of 33%. rnThe impact of the substitution with sulfur nucleophiles on the 6'-position of the xanthene moiety on its fluorescent characteristics was investigated. In comparison with fluorescein new asymmetric xanthene sulfides afforded lower extinction coefficients and fluorescent quantum yields. On the other hand, the substitution with a sulfur nucleophile significantly improved the photostability of xanthene dyes. It was shown that after 10 hours of continuous excitation, the asymmetric sulfur-containing xanthene fluorophores exhibited 58-94% of their initial fluorescent intensities. This observation suggested that the novel dyes were 1-2 orders of magnitude more stable than fluorescein. rnThe azido-modified xanthenes were “clicked” via Cu(I)-catalyzed azide-alkyne cycloaddition with an oligonucleotide, which contained the terminal alkyne residue. rn