Liquid crystal polymer brushes and their application as alignment layers in liquid crystal cells

Liquid Crystal Polymer Brushes and their Application as Alignment Layers in Liquid Crystal Cells Polymer brushes with liquid crystalline (LC) side chains were synthesized on planar glass substrates and their nematic textures were investigated. The LC polymers consist of an acrylate or a methacrylate main chain and a phenyl benzoate group as the mesogenic unit which is connected to the main chain via a flexible alkyl spacer composed of six CH2 units. The preparation of the LC polymer brushes was carried out according to the “grafting from” technique: polymerization is carried out from azo-initiators that have been previously self-assembled on the substrate. LC polymer brushes with a thickness from a few nm to 230 nm were synthesized by varying the monomer concentration and the polymerization time. The LC polymer brushes were thick enough to allow for direct observation of the nematic textures with a polarizing microscope. The LC polymer brushes grown on untreated glass substrates exhibited irregular textures (“polydomains”). The domain size is in the range of some micrometers and depends only weakly on the brush thickness. The investigations on the texture-temperature relationship of the LC brushes revealed that the brushes exhibit a surface memory effect, that is, the identical texture reappears after the LC brush sample has experienced a thermal isotropization or a solvent treatment, at which the nematic LC state has been completely destroyed. The surface memory effect is attributed to a strong anchoring of the orientation of the mesogenic units to heterogeneities at the substrate surface. The exact nature of the surface heterogeneities is unknown. The effect was observed for the LC brushes swollen with low molecular weight nematic molecules, as well. Rubbing the glass substrate with a piece of velvet cloth prior to the surface modification with the initiator and the brush growth gives rise to the formation of homogenous alignment of the mesogenic units in the LC polymer side chains. Monodomain textures were obtained for these LC brushes. The mechanism for the homogeneous alignment is based on the transfer of Nylon fibers during the rubbing process. A surfactant was mixed with the azo-initiator in modifying rubbed substrates for subsequent brush generation. Such brushes exhibited biaxial optical properties. Hybrid LC cells made from a substrate modified with biaxial brushes and a rubbed glass substrate show an orientation with a tilt angle of a = –15.6 . This work shows that LC brushes grown on rubbed surfaces fulfill the important criteria for alignment layers: the formation of macroscopic monodomains. First results indicate that by diluting the brush with molecules which are also covalently bound to the surface but induce a different orientation, a system is obtained in which the two conflicting alignment mechanisms can be used to generate a tilted alignment. In order to allow for an application of the alignment layers into a potential product, subsequent work should focus on the questions how easy and in which range the tilt angle can be controlled.

Cellulose based Lithium ion polymer electrolytes for Lithium batteries

The separator membrane in batteries and fuel cells is of crucial importance for the function of these devices. In lithium ion batteries the separator membrane as well as the polymer matrix of the electrodes consists of polymer electrolytes which are lithium ion conductors. To overcome the disadvantage of currently used polymer electrolytes which are highly swollen with liquids and thus mechanically and electrochemically unstable, the goal of this work is a new generation of solid polymer electrolytes with a rigid backbone and a soft side chain structure. Moreover the novel material should be based on cheap substrates and its synthesis should not be complicated aiming at low overall costs. The new materials are based on hydroxypropylcellulose and oligoethyleneoxide derivatives as starting materials. The grafting of the oligoethyleneoxide side chains onto the cellulose was carried out following two synthetic methods. One is based on a bromide derivative and another based on p-toluolsulfonyl as a leaving group. The side chain reagents were prepared form tri(ethylene glycol) monoethyl ether. In order to improve the mechanical properties the materials were crosslinked. Two different conceptions have been engaged based on either urethane chemistry or photosensitive dimethyl-maleinimide derivatives. PEO - graft - cellulose derivatives with a high degree of substitution between 2,9 and 3,0 were blended with lithium trifluoromethane-sulfonate, lithium bis(trifluorosulfone)imide and lithium tetrafluoroborate. The molar ratios were in the range from 0,02 to 0,2 [Li]/[O]. The products have been characterized with nuclear magnetic resonance (NMR), gel permeation chromatography (GPC) and laserlight scattering (LS) with respect to their degree of substitution and molecular weight. The effect of salt concentration on ionic conductivity, thermal behaviour and morphology has been investiga-ted with impedance spectroscopy, differential scanning calorimetry (DSC) and thermal gravimetric analysis (TGA). The crosslinking reactions were controlled with dynamic mechanical analysis (DMS). The degree of substitution of our products is varying between 2,8 and 3,0 as determined by NMR. PEO - graft - cellulose derivatives are highly viscous liquids at room temperature with glass transition temperatures around 215 K. The glass transition temperature for the Lithium salt complexes of PEO - graft - cellulose deri-vatives increase with increasing salt content. The maximum conductivity at room temperature is about 10-4 and at 100°C around 10-3 Scm-1. The presence of lithium salt decreases the thermal stability of the complexes in comparison to pure PEO - graft - cellulose derivatives. Complexes heated over 140 – 150°C completely lose their ionic conductivity. The temperature dependence of the conductivity presented as Arrhenius-type plots for all samples is similar in shape and follows a VTF behaviour. This proofs that the ionic transport is closely related to the segmental motions of the polymer chains. Novel cellulose derivatives with grafted oligoethylen-oxide side chains with well-defined chemical structure and high side chain grafting density have been synthesized. Cellulose was chosen as stiff, rod like macromolecule for the backbone while oligoethylen-oxides are chosen as flexible side chains. A maximum grafting density of 3.0 have been obtained. The best conductivity reaches 10-3 Scm-1 at 100°C for a Li-triflate salt complex with a [Li]/[O] ratio of 0.8. The cross-linked complexes containing the lithium salts form elastomeric films with convenient mechanical stability. Our method of cellulose modification is based on relatively cheap and commercially available substrates and as such appears to be a promising alternative for industrial applications.

Characterisation of supramolecular structures by novel recoupling methods in solid-state NMR

In this work, solid-state NMR methods suitable for the investigation of supramolecular systems were developed and improved. In this context, special interest was focussed on non-covalent interactions responsible for the formation of supramolecular structures, such as pi-pi interacions and hydrogen-bonds. In the first part of this work, solid-state NMR methods were presented that provide information on molecular structure and motion via the investigation of anisotropic interactions, namely quadrupole and dipole-dipole couplings, under magic-angle spinning conditions. A two-dimensional 2H double quantum experiment was developed, which is performed under off magic-angle conditions and correlates 2H isotropic chemical shifts with quasistatic DQ-filtered line shapes. From the latter, the quadrupole coupling parameters of samples deuterated at multiple sites can be extracted in a site-selective fashion. Furthermore, 7Li quadrupole parameters of lithium intercalated into TiO2 were determined by NMR experiments performed under static and MAS conditions, and could provide information on the crystal geometry. For the determination of 7Li-7Li dipole-dipole couplings, multiple-quantum NMR experiments were performed. The 1H-13C REREDOR experiment was found to be capable of determining strong proton-carbon dipole-dipole couplings with an accuracy of 500~Hz, corresponding to a determination of proton-carbon chemical-bond lengths with picometer accuracy In the second part of this work, solid-state NMR experiments were combined with quantum-chemical calculations in order to aid and optimise the interpretation of experimental results. The investigations on Calix[4]hydroquinone nanotubes have shown that this combined approach can provide information on the presence of disordered and/or mobile species in supramolecular structures. As a second example, C3-symmetric discs arranging in helical columnar stacks were investigated. In these systems, 1H chemical shifts experience large pi-shifts due to packing effects, which were found to be long-ranged. Moreover, quantum-chemical calculations revealed that helicity in these systems is induced by the propeller-like conformation of the core of the molecules.

Nuclear charge radius of the halo nucleus lithium-11

Nuclear charge radii of short-lived isotopes can be probed in a nuclear-model independent way via isotope shift measurements. For this purpose a novel technique was developed at GSI, Darmstadt. It combines two-photon laser spectroscopy in the 2s-3s electronic transition of lithium, resonance ionization, and detection via quadrupole mass spectrometry. In this way an accuracy of 5e-5 which is necessary for the extraction of nuclear charge radii, and an overall detection efficiency of 1e-4 is reached. This allowed an isotope shift measurement of Li-11 for the first time at the TRIUMF facility in Vancouver. Additionally, uncertainties in the isotope shift for all other lithium isotopes were reduced by about a factor of four compared to previous measurements at GSI. Results were combined with recent theoretical mass shift calculations in three-electron systems and root-mean-square nuclear charge radii of all lithium isotopes, particulary of the two-neutron halo nucleus Li-11, were determined. Obtained charge radii decrease continuously from Li-6 to Li-9, while a strong increase between Li-9 and Li-11 is observed. This is compared to predictions of various nuclear models and it is found that a multicluster model gives the best overall agreement. Within this model, the increase in charge radius between Li-9 and Li-11is to a large extend caused by intrinsic excitation of the Li-9-like core while the neutron-halo correlation contributes only to a small extend.

Aufbau des Crystal-Ball-Detektorsystems und Untersuchung der Helizitätsasymmetrie in gamma p p pi 0 pi 0

Seit Frühjahr 2004 wird der Crystal Ball-Detektor am Photonenstrahl des Mainzer Mikrotrons für Koinzidenzexperimente zur Untersuchung der Struktur der Nukleonen genutzt. Aufbau und Inbetriebnahme des Kalorimeters, insbesondere der neuen Detektorelektronik, bilden einen Schwerpunkt dieser Arbeit. Komponenten wurden neu konstruiert oder auf ihre Verwendbarkeit geprüft und nögenfalls modifiziert. Nach erfolgreichem Abschluss der Aufbauphase wurden Experimente zur Produktion von $pi$- und $eta$-Mesonen am Proton mit mehr als 2500 Stunden Strahlbetrieb durchgeführt. Den zweiten Schwerpunkt der Dissertation bildet die erstmalige Messung der Helizitätsasymmetrie I$^odot$ in der Photoproduktion zweier neutraler Pionen. Zum Verstädnis des Anregungsspektrums der Nukleonen müssen Experimente mit polarisierten Photonen und/oder polarisierten Targets durchgeführt werden. Da Modelle trotz unterschiedlicher Annahmen unpolarisiert gemessene Größen vergleichbar gut reproduzieren, ist die Bestimmung der auf Modellunterschiede empfindlichen Polarisationsobservablen unumgäglich. Im Gegensatz zur Einpionproduktion tritt in der Zweipionproduktion eine Einfachpolarisationsobservable auf, die mit zirkular polarisierten Photonen am unpolarisierten Proton gemessen werden kann. Diese wurde in der Reaktion $gamma$ p $rightarrow$ p $pi^0$ $pi^0$ und in $gamma$ p $rightarrow$ p $pi^+$ $pi^-$ energie- und winkelabhägig bestimmt. Die Ergebnisse weichen stark von den Modellvorhersagen ab.

Towards a new test of time dilation: Laser spectroscopy on lithium ions stored at a velocity of 33.8 % of the speed of light

The subject of the presented thesis is the accurate measurement of time dilation, aiming at a quantitative test of special relativity. By means of laser spectroscopy, the relativistic Doppler shifts of a clock transition in the metastable triplet spectrum of ^7Li^+ are simultaneously measured with and against the direction of motion of the ions. By employing saturation or optical double resonance spectroscopy, the Doppler broadening as caused by the ions' velocity distribution is eliminated. From these shifts both time dilation as well as the ion velocity can be extracted with high accuracy allowing for a test of the predictions of special relativity. A diode laser and a frequency-doubled titanium sapphire laser were set up for antiparallel and parallel excitation of the ions, respectively. To achieve a robust control of the laser frequencies required for the beam times, a redundant system of frequency standards consisting of a rubidium spectrometer, an iodine spectrometer, and a frequency comb was developed. At the experimental section of the ESR, an automated laser beam guiding system for exact control of polarisation, beam profile, and overlap with the ion beam, as well as a fluorescence detection system were built up. During the first experiments, the production, acceleration and lifetime of the metastable ions at the GSI heavy ion facility were investigated for the first time. The characterisation of the ion beam allowed for the first time to measure its velocity directly via the Doppler effect, which resulted in a new improved calibration of the electron cooler. In the following step the first sub-Doppler spectroscopy signals from an ion beam at 33.8 %c could be recorded. The unprecedented accuracy in such experiments allowed to derive a new upper bound for possible higher-order deviations from special relativity. Moreover future measurements with the experimental setup developed in this thesis have the potential to improve the sensitivity to low-order deviations by at least one order of magnitude compared to previous experiments; and will thus lead to a further contribution to the test of the standard model.

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.

Ionenleitfähigkeit in polymeren Matrizes – Synthese, Charakterisierung und Untersuchung dynamischer Prozesse von neuen Lithium- und Protonenleitern

Die vorliegende Dissertation befasst sich mit der Synthese, physikochemischen und polymerspezifischen Charakterisierung und insbesondere der impedanzspektroskopischen Untersuchung von sowohl neuartigen, solvensfreien lithiumionen- als auch protonenleitfähigen Polymermaterialien für potentielle Anwendungen in sekundären Lithiumionenbatterien bzw. in Hochtemperatur-Protonenaustauschmembran-Brennstoffzellen (engl.: proton exchange membrane fuel cell, auch: polymer electrolyte membrane fuel cell, PEMFC). Beiden Typen von ionenleitfähigen Membranen liegt das gängige Prinzip der chemischen Anbindung einer für den Ionentransport verantwortlichen Seitengruppe an eine geeignete Polymerhauptkette zugrunde („Entkopplung“; auch Immobilisierung), welcher hinsichtlich Glasübergangstemperatur (Tg), elektrochemischer und thermischer Stabilität (Td) eine dynamisch entkoppelte, aber nicht minder bedeutsame Rolle zukommt. Die Transportaktivierung erfolgt in beiden Fällen thermisch. Im Falle der Protonenleiter liegt die zusätzliche Intention darin, eine Alternative aufzuzeigen, in der die Polymerhauptkette gekoppelt direkt am Protonentransportmechanismus beteiligt ist, d.h., dass der translatorisch diffusive Ionentransport entlang der Hauptkette stattfindet und nicht zwischen benachbarten Seitenketten. Ein Hauptaugenmerk der Untersuchungen liegt sowohl bei den lithiumionen- als auch den protonenleitfähigen Polymermembranen auf temperaturabhängigen dynamischen Prozessen der jeweiligen Ionenspezies in der polymeren Matrix, was die Ionenleitfähigkeit selbst, Relaxationsphänomene, die translatorische Ionendiffusion und im Falle der Protonenleiter etwaige mesomere Grenzstrukturübergänge umfasst. Lithiumionenleiter: Poly(meth)acrylate mit (2-Oxo-1,3-dioxolan)resten (Cyclocarbonat-) in der Seitenkette unterschiedlicher Spacerlänge wurden synthetisiert und charakterisiert. Die Leitfähigkeit s(,T) erreicht bei Poly(2-oxo-[1,3]dioxolan-4-yl)methylacrylat (PDOA): Lithium-bis-trifluormethansulfonimid (LiTFSI) (10:3) ca. 10^-3,5 S cm^-1 bei 150 °C. Weichmachen (Dotieren) mit äquimolaren Mengen an Propylencarbonat (PC) bewirkt in allen Fällen einen enormen Anstieg der Leitfähigkeit. Die höchsten Leitfähigkeiten von Mischungen dieser Polymere mit LiTFSI (und LiBOB) werden nicht beim System mit der niedrigsten Tg gefunden. Auch dient Tg nicht als Referenztemperatur (Tref) nach Williams-Landel-Ferry (WLF), so dass eine WLF-Anpassung der Leitfähigkeitsdaten nur über einen modifizierten WLF-Algorithmus gelingt. Die ermittelten Tref liegen deutlich unterhalb von Tg bei Temperaturen, die charakteristisch für die Seitenkettenrelaxation sind („Einfrieren“). Dies legt nahe, dass der Relaxation der Seitenketten eine entscheidende Rolle im Li^+-Leitfähigkeitsmechanismus zukommt. Die Li^+-Überführungszahlen tLi^+ in diesen Systemen schwanken zwischen 0,13 (40 °C) und 0,55 (160 °C). Protonenleiter: Polymere mit Barbitursäure- bzw. Hypoxanthinresten in der Seitenkette und Polyalkylenbiguanide unterschiedlicher Spacerlänge wurden synthetisiert und charakterisiert. Die Leitfähigkeit s(,T) erreicht bei Poly(2,4,6(1H,3H,5H)-trioxopyrimidin-5-yl)methacrylat (PTPMA) maximal ca. 10^-4,4 S cm^-1 bei 140 °C. Höhere Leitfähigkeiten sind nur durch Mischen mit aprotischen Lösungsmitteln erreichbar. Die höchste Leitfähigkeit wird im Falle der Polyalkylenbiguanide bei Polyethylenbiguanid (PEB) erzielt. Sie erreicht 10^-2,4 S cm^-1 bei 190 °C. Die Aktivierungsenergien EA der Polyalkylenbiguanide liegen (jeweils unterhalb von Tg) zwischen ca. 3 – 6 kJ mol^-1. In allen beobachteten Fällen dient Tg als Tref, so dass eine konventionelle WLF-Behandlung möglich ist und davon auszugehen ist, dass die Leitfähigkeit mit dem freien Volumen Vf korreliert.

Influence of ice crystal habit and cirrus spatial inhomogeneities on the retrieval of cirrus optical thickness and effective radius

Diese Dissertation untersucht den Einfluss von Eiskristallform und räumlicher Inhomogenität von Zirren auf das Retrieval von optischer Wolkendicke und effektivem Eispartikelradius. Zu diesem Zweck werden flugzeuggetragene spektrale Messungen solarer Strahlung sowie solare und langwellige Strahlungstransfersimulationen durchgeführt. Flugzeuggetragene spektrale aufwärtsgerichtete Radianzen (Strahldichten) sind mit dem SMART-Albedometer (Spectral Modular Airborne Radiation measurement sysTem) während des CIRCLE-2 (CIRrus CLoud Experiment-2) Feldexperiments im Mai 2007 gemessen worden. Basierend auf diesen Radianzdaten werden mittels eines Wolkenretrievalalgorithmus optische Wolkendicken und effektive Eispartikelradien anhand von eindimensionalen Strahlungstransferrechnungen bestimmt. Die Auswirkung der Annahme unterschiedlicher Eiskristallformen auf die retrievten Parameter wird durch Variation der Einfachstreueigenschaften der Eispartikel untersucht. Darüber hinaus wird mittels Strahlungstransferrechnungen auch der Einfluss der Eiskristallform auf den Strahlungsantrieb von Eiswolken ermittelt. Die Frage nach dem relativen Einfluss von räumlicher Wolkeninhomogenität und Eiskristallform wird anhand von dreidimensionalen und independent pixel approximation (IPA) Strahlungssimulationen untersucht. Die Analyse basiert auf einer Modelleiswolke, die aus Daten des NASA (National Aeronautics and Space Administration) TC4 (Tropical Composition, Cloud, and Climate Coupling) Feldexperiments im Sommer 2007 in Costa Rica erzeugt wurde. Lokal gesehen können beide Effekte - Eiskristallform und räumliche Eiswolkeninhomogenität - die gleiche Grössenordnung haben und zu einer Unter- bzw. Überschätzung der retrievten Parameter um 40 – 60% führen. Gemittelt über die ganze Wolke ist jedoch der Einfluss der Eiskristallform viel bedeutender als der von räumlichen Inhomogenitäten.

Mechanical microcontacts of powder particles studied with the quartz crystal microbalance

Within this work, a particle-polymer surface system is studied with respect to the particle-surface interactions. The latter are governed by micromechanics and are an important aspect for a wide range of industrial applications. Here, a new methodology is developed for understanding the adhesion process and measure the relevant forces, based on the quartz crystal microbalance, QCM. rnThe potential of the QCM technique for studying particle-surface interactions and reflect the adhesion process is evaluated by carrying out experiments with a custom-made setup, consisting of the QCM with a 160 nm thick film of polystyrene (PS) spin-coated onto the quartz and of glass particles, of different diameters (5-20µm), deposited onto the polymer surface. Shifts in the QCM resonance frequency are monitored as a function of the oscillation amplitude. The induced frequency shifts of the 3rd overtone are found to decrease or increase, depending on the particle-surface coupling type and the applied oscillation (frequency and amplitude). For strong coupling the 3rd harmonic decreased, corresponding to an “added mass” on the quartz surface. However, positive frequency shifts are observed in some cases and are attributed to weak-coupling between particle and surface. Higher overtones, i.e. the 5th and 7th, were utilized in order to derive additional information about the interactions taking place. For small particles, the shift for specific overtones can increase after annealing, while for large particle diameters annealing causes a negative frequency shift. The lower overtones correspond to a generally strong-coupling regime with mainly negative frequency shifts observed, while the 7th appears to be sensitive to the contact break-down and the recorded shifts are positive.rnDuring oscillation, the motion of the particles and the induced frequency shift of the QCM are governed by a balance between inertial forces and contact forces. The adherence of the particles can be increased by annealing the PS film at 150°C, which led to the formation of a PS meniscus. For the interpretation, the Hertz, Johnson-Kendall-Roberts, Derjaguin-Müller-Toporov and the Mindlin theory of partial slip are considered. The Mindlin approach is utilized to describe partial slip. When partial slip takes place induced by an oscillating load, a part of the contact ruptures. This results in a decrease of the effective contact stiffness. Additionally, there are long-term memory effects due to the consolidation which along with the QCM vibrations induce a coupling increase. However, the latter can also break the contact, lead to detachment and even surface damage and deformation due to inertia. For strong coupling the particles appear to move with the vibrations and simply act as added effective mass leading to a decrease of the resonance frequency, in agreement with the Sauerbrey equation that is commonly used to calculate the added mass on a QCM). When the system enters the weak-coupling regime the particles are not able to follow the fast movement of the QCM surface. Hence, they effectively act as adding a “spring” with an additional coupling constant and increase the resonance frequency. The frequency shift, however, is not a unique function of the coupling constant. Furthermore, the critical oscillation amplitude is determined, above which particle detach. No movement is detected at much lower amplitudes, while for intermediate values, lateral particle displacement is observed. rnIn order to validate the QCM results and study the particle effects on the surface, atomic force microscopy, AFM, is additionally utilized, to image surfaces and measure surface forces. By studying the surface of the polymer film after excitation and particle removal, AFM imaging helped in detecting three different meniscus types for the contact area: the “full contact”, the “asymmetrical” and a third one including a “homocentric smaller meniscus”. The different meniscus forms result in varying bond intensity between particles and polymer film, which could explain the deviation between number of particles per surface area measured by imaging and the values provided by the QCM - frequency shift analysis. The asymmetric and the homocentric contact types are suggested to be responsible for the positive frequency shifts observed for all three measured overtones, i.e. for the weak-coupling regime, while the “full contact” type resulted in a negative frequency shift, by effectively contributing to the mass increase of the quartz..rnThe interplay between inertia and contact forces for the particle-surface system leads to strong- or weak-coupling, with the particle affecting in three mentioned ways the polymer surface. This is manifested in the frequency shifts of the QCM system harmonics which are used to differentiate between the two interaction types and reflect the overall state of adhesion for particles of different size.rn

Numerical study of homogeneous and heterogeneous crystal nucleation in colloidal systems

Im Rahmen dieser Arbeit wurden Computersimulationen von Keimbildungs- und Kris\-tallisationsprozessen in rnkolloidalen Systemen durchgef\"uhrt. rnEine Kombination von Monte-Carlo-Simulationsmethoden und der Forward-Flux-Sampling-Technik wurde rnimplementiert, um die homogene und heterogene Nukleation von Kristallen monodisperser Hart\-kugeln zu untersuchen. rnIm m\"a\ss{ig} unterk\"uhlten Bulk-Hartkugelsystem sagen wir die homogenen Nukleationsraten voraus und rnvergleichen die Resultate mit anderen theoretischen Ergebnissen und experimentellen Daten. rnWeiterhin analysieren wir die kristallinen Cluster in den Keimbildungs- und Wachstumszonen, rnwobei sich herausstellt, dass kristalline Cluster sich in unterschiedlichen Formen im System bilden. rnKleine Cluster sind eher l\"anglich in eine beliebige Richtung ausgedehnt, w\"ahrend gr\"o\ss{ere} rnCluster kompakter und von ellipsoidaler Gestalt sind. rn rnIm n\"achsten Teil untersuchen wir die heterogene Keimbildung an strukturierten bcc (100)-W\"anden. rnDie 2d-Analyse der kristallinen Schichten an der Wand zeigt, dass die Struktur der rnWand eine entscheidende Rolle in der Kristallisation von Hartkugelkolloiden spielt. rnWir sagen zudem die heterogenen Kristallbildungsraten bei verschiedenen \"Ubers\"attigungsgraden voraus. rnDurch Analyse der gr\"o\ss{ten} Cluster an der Wand sch\"atzen wir zus\"atzlich den Kontaktwinkel rnzwischen Kristallcluster und Wand ab. rnEs stellt sich heraus, dass wir in solchen Systemen weit von der Benetzungsregion rnentfernt sind und der Kristallisationsprozess durch heterogene Nukleation stattfindet. rn rnIm letzten Teil der Arbeit betrachten wir die Kristallisation von Lennard-Jones-Kolloidsystemen rnzwischen zwei ebenen W\"anden. rnUm die Erstarrungsprozesse f\"ur ein solches System zu untersuchen, haben wir eine Analyse des rnOrdnungsparameters f\"ur die Bindung-Ausrichtung in den Schichten durchgef\"urt. rnDie Ergebnisse zeigen, dass innerhalb einer Schicht keine hexatische Ordnung besteht, rnwelche auf einen Kosterlitz-Thouless-Schmelzvorgang hinweisen w\"urde. rnDie Hysterese in den Erhitzungs-Gefrier\-kurven zeigt dar\"uber hinaus, dass der Kristallisationsprozess rneinen aktivierten Prozess darstellt.

Investigation of the lithium ion mobility in cyclic model compounds and their ion conducting properties

Efficient energy storage and conversion is playing a key role in overcoming the present and future challenges in energy supply. Batteries provide portable, electrochemical storage of green energy sources and potentially allow for a reduction of the dependence on fossil fuels, which is of great importance with respect to the issue of global warming. In view of both, energy density and energy drain, rechargeable lithium ion batteries outperform other present accumulator systems. However, despite great efforts over the last decades, the ideal electrolyte in terms of key characteristics such as capacity, cycle life, and most important reliable safety, has not yet been identified. rnrnSteps ahead in lithium ion battery technology require a fundamental understanding of lithium ion transport, salt association, and ion solvation within the electrolyte. Indeed, well-defined model compounds allow for systematic studies of molecular ion transport. Thus, in the present work, based on the concept of ‘immobilizing’ ion solvents, three main series with a cyclotriphosphazene (CTP), hexaphenylbenzene (HBP), and tetramethylcyclotetrasiloxane (TMS) scaffold were prepared. Lithium ion solvents, among others ethylene carbonate (EC), which has proven to fulfill together with pro-pylene carbonate safety and market concerns in commercial lithium ion batteries, were attached to the different cores via alkyl spacers of variable length.rnrnAll model compounds were fully characterized, pure and thermally stable up to at least 235 °C, covering the requested broad range of glass transition temperatures from -78.1 °C up to +6.2 °C. While the CTP models tend to rearrange at elevated temperatures over time, which questions the general stability of alkoxide related (poly)phosphazenes, both, the HPB and CTP based models show no evidence of core stacking. In particular the CTP derivatives represent good solvents for various lithium salts, exhibiting no significant differences in the ionic conductivity σ_dc and thus indicating comparable salt dissociation and rather independent motion of cations and ions.rnrnIn general, temperature-dependent bulk ionic conductivities investigated via impedance spectroscopy follow a William-Landel-Ferry (WLF) type behavior. Modifications of the alkyl spacer length were shown to influence ionic conductivities only in combination to changes in glass transition temperatures. Though the glass transition temperatures of the blends are low, their conductivities are only in the range of typical polymer electrolytes. The highest σ_dc obtained at ambient temperatures was 6.0 x 10-6 S•cm-1, strongly suggesting a rather tight coordination of the lithium ions to the solvating 2-oxo-1,3-dioxolane moieties, supported by the increased σ_dc values for the oligo(ethylene oxide) based analogues.rnrnFurther insights into the mechanism of lithium ion dynamics were derived from 7Li and 13C Solid- State NMR investigations. While localized ion motion was probed by i.e. 7Li spin-lattice relaxation measurements with apparent activation energies E_a of 20 to 40 kJ/mol, long-range macroscopic transport was monitored by Pulsed-Field Gradient (PFG) NMR, providing an E_a of 61 kJ/mol. The latter is in good agreement with the values determined from bulk conductivity data, indicating the major contribution of ion transport was only detected by PFG NMR. However, the μm-diffusion is rather slow, emphasizing the strong lithium coordination to the carbonyl oxygens, which hampers sufficient ion conductivities and suggests exploring ‘softer’ solvating moieties in future electrolytes.rn

Ternary lithium based compounds used for technological applications

Im Rahmen dieser Dissertation wurden ternäre Li-haltige Halb-Heusler Verbindungen sowie dazu strukturell-verwandte Verbindungen untersucht. Diese Verbindungen sind potentielle Kandidaten für optoelektronische und spintronische Anwendungen.rnEinige der untersuchten Verbindungen sind auch als Elektroden Materialien inrnLi-Batterien geeignet. Neben der Synthese und der Untersuchung der chemischenrnEigenschaften wurden daher insbesondere die physikalischen Eigenschaften näherrnuntersucht. Im speziellen wurden Halb-Heusler Verbindungen wie LiMgZ (Z = P,rnAs, Sb) und LiZn1−xMnxP synthetisiert und charakterisiert. Des Weiteren wurdenrndie Verbindungen LiMnAs, LaOMnAs und LiCuS näher studiert.rnVerbindungen des Typs LiMgZ (Z = P, As, Sb) sind potentielle Anode-Materialienrnin Li-Batterien. Im Rahmen der Arbeit gelang es diese Verbindungen einphasig zurnsynthetisieren. Mit Hilfe der UV-VIS Spektroskopie wurden Bandlücken im Bereichrnvon 0.9 und 2.3 eV bestimmt. 7Li NMR Spektroskopie zeigte eine ausreichende LirnMobilität, die sich mit steigender Temperatur erhöht.rnWeiterhin wurde die Mischkristallserie LiZn1−xMnxP mit x = 0.04, 0.08 und 0.10rnuntersucht. Ziel dieser Arbeit war es aus dem Halbleiter LiZnP durch Dotierungrneinen verdünnten magnetischen Halbleiter herzustellen. Diese Materialien werdenrninsbesondere in der Spintronik benötigt. Optische Messungen zeigten, dass diernDotierung bis x = 0.10 zu einer Reduzierung der Bandlücke von 1.80 eV für LiZnPrnzu 1.18 eV für LiZn0.90Mn0.10P führt. Magnetische Untersuchungen erwiesen paramagnetischesrnCurie-Weiss Verhalten und negative Weiss Konstanten, die auf einernantiferromagnetische Ordnung bei tiefen Temperaturen hindeuten.rnLiMnAs und LaOMnAs sind beides antiferromagnetische Halbleiter, die insbesonderernf¨ur spinelektronische Anwendungen von Bedeutung sind. Die magnetischernStruktur von LiMnAs wurde mit Hilfe der Neutronenbeugung näher untersucht. DiernNeel Temperatur wurde zu 374 K bestimmt. Bei einer Temperatur von T = 768 Krnkommt es zu einer Phasenumwandlung. Die tetragonale Struktur wandelt sich hierrnin einer kubischen Halb-Heusler Phase um. Dichte Funktional Rechnungen sind inrnguter Übereinstimmung mit den experimentellen Werten. Darüberhinaus wurde diernKopplung der magnetischen Momente näher bestimmt.rnrnEine Verbindung der Zusammensetzung LiCuS wurde in der Literatur beschriebenrnals eine Phase, die sich bei der Reaktion von Li mit CuS in Li/CuS Batteriesystemrnbildet. Diese Verbindung ist auch als Ersatz von CdS in Pufferschicht vonrnDünnfilm-Solarzellen von Interesse. Es gelang erstmals diese Verbindung einphasigrnherzustellen. Sie kristallisiert gelb mit der nicht-stöchiometrischen ZusammensetzungrnLi1.1Cu0.9S. Die Kristallstruktur wurde mit Hilfe von NMR, PXRD und Neutronenbeugungrnaufgeklärt. Die Bandlücke wurde aus den optischen Messungenrnvon Dünnschichten bestimmt und beträgt circa 2 eV. Dieser Wert ist in guter Übereinstimmung mit DFT Ergebnissen. Wird der Li-Gehalt erhöht, erhält manrnab circa Li1.7Cu0.3S eine kubische Phase. Sie ist isotyp mit Li2S, die im anti-CaF2 Typ kristallisiert. Diese Verbindung ist ein direkter Halbleiter mit einer Bandlücke von 2.4 eV nach DFT Rechnungen.

Prediction of new crystal structures under extreme conditions

One of the most important challenges in chemistry and material science is the connection between the contents of a compound and its chemical and physical properties. In solids, these are greatly influenced by the crystal structure.rnrnThe prediction of hitherto unknown crystal structures with regard to external conditions like pressure and temperature is therefore one of the most important goals to achieve in theoretical chemistry. The stable structure of a compound is the global minimum of the potential energy surface, which is the high dimensional representation of the enthalpy of the investigated system with respect to its structural parameters. The fact that the complexity of the problem grows exponentially with the system size is the reason why it can only be solved via heuristic strategies.rnrnImprovements to the artificial bee colony method, where the local exploration of the potential energy surface is done by a high number of independent walkers, are developed and implemented. This results in an improved communication scheme between these walkers. This directs the search towards the most promising areas of the potential energy surface.rnrnThe minima hopping method uses short molecular dynamics simulations at elevated temperatures to direct the structure search from one local minimum of the potential energy surface to the next. A modification, where the local information around each minimum is extracted and used in an optimization of the search direction, is developed and implemented. Our method uses this local information to increase the probability of finding new, lower local minima. This leads to an enhanced performance in the global optimization algorithm.rnrnHydrogen is a highly relevant system, due to the possibility of finding a metallic phase and even superconductor with a high critical temperature. An application of a structure prediction method on SiH12 finds stable crystal structures in this material. Additionally, it becomes metallic at relatively low pressures.