Dynamik unterkühlter molekularer Flüssigkeiten in Modenkopplungsapproximation - die Rolle der Orientierungsfreiheitsgrade für den Bosonenpeak

Die von Schilling et al. 1997 aufgestellten molekularenModenkopplungsgleichungen sind für zwei Systeme, dipolareharte Kugeln undharte Rotationsellipsoide, numerisch gelöst worden.In den Kompressibilitätsspektrenund den entsprechenden Korrelationsspektren der beidenSysteme fiel im Vergleich mit den Spektren einfacherFlüssigkeiten einzusätzlicher Peak (bp) auf.Die Position des zusätzlichen Peaks ist etwa eine Dekade unterhalb der Position derHochfrequenzpeaks, also im mesoskopischen Frequenzbereich.In molekularen Flüssigkeiten sind Phasenübergänge derOrientierung derglqq Molekülegrqq möglich.Bei dipolaren harten Kugeln kann ferroelektrische Ordnung,bei hartenEllipsoiden nematische Ordnung auftreten. Als Vorläuferphänomen der Orientierungsordnung bilden sich in den molekularenFlüssigkeiten orientierungsgeordnete Domänen. Die Kurzzeitdynamik dieser Domänen findetauf mesoskopischer Zeitskala statt. In der unterkühlten Flüssigkeit ist die Dynamik aller Modenan die Dynamikdieser Orientierungsmoden gekoppelt. Unsere Untersuchungen zeigen starke Hinweise darauf, dassdiese Kopplung denbp erzeugt.Demnach ist die Streuung nichtlokalisierter longitudinalerakustischer Modenan lokalisierten Orientierungsmoden die Ursache für den bp.hat nahezu keine q-Abhängigkeit und zeigt einenIsotopeneffekt. Weiterhin verglichen wir die Eigenschaften des bp mit denEigenschaften des Bosonenpeaks (BP).Der BP befindet sich in Spektren realer Systeme ebenfallseine Dekadeunterhalb der Hochfrequenzpeaks.Dieser Vergleich und der Vergleich mit den Ergebnissen einerMD-Simulation desHE-Systems ließ uns vermuten, dass es sich bei dem bp und bei dem BP in Spektrenmolekularer Systeme um dasselbe Phänomen handelt.In einem schematischen Modenkopplungsmodell konnte dasVerhalten des bpzusätzlich untersucht werden.

Computer simulations of two-dimensional colloidal crystals in confinement

Monte Carlo simulations are used to study the effect of confinement on a crystal of point particles interacting with an inverse power law potential in d=2 dimensions. This system can describe colloidal particles at the air-water interface, a model system for experimental study of two-dimensional melting. It is shown that the state of the system (a strip of width D) depends very sensitively on the precise boundary conditions at the two ``walls'' providing the confinement. If one uses a corrugated boundary commensurate with the order of the bulk triangular crystalline structure, both orientational order and positional order is enhanced, and such surface-induced order persists near the boundaries also at temperatures where the system in the bulk is in its fluid state. However, using smooth repulsive boundaries as walls providing the confinement, only the orientational order is enhanced, but positional (quasi-) long range order is destroyed: The mean-square displacement of two particles n lattice parameters apart in the y-direction along the walls then crosses over from the logarithmic increase (characteristic for $d=2$) to a linear increase (characteristic for d=1). The strip then exhibits a vanishing shear modulus. These results are interpreted in terms of a phenomenological harmonic theory. Also the effect of incommensurability of the strip width D with the triangular lattice structure is discussed, and a comparison with surface effects on phase transitions in simple Ising- and XY-models is made

Quantensimulationen physisorbierter Molekülschichten auf Graphit

Mit Hilfe der Pfadintegral-Monte Carlo-Methode werdenPhasendiagramme von physisorbierten Molekülschichten aufGraphit untersucht. Die Verwendung von realistischen Potenzialen sowie dieBehandlung aller translatorischen und rotatorischenFreiheitsgrade erlaubt einen quantitativen Vergleich mit denExperimenten.Krypton-Atome bilden in der Monolage ein kommensurablesGitter mit den Atomen über der Mitte jeder drittenGraphitwabe.Die Vorgänge am Schmelzübergang werden von der Desorptioneiniger Atome dominiert. Die Argon-Schicht auf Graphit ist dagegen inkommensurabel.Zweiatomigen Stickstoff-Moleküle bilden eineorientierungsgeordnete Tieftemperaturphase(Fischgrät-Struktur). Quantenfluktuationen führen zu einer Erniedrigung der mitklassischen Methoden berechneten Phasenübergangstemperaturum 12%.Damit wird der experimentelle Wert von 28 K erreicht.Die Anisotropie und das Dipolmoment von Kohlenmonoxid führenzu einer dipolar geordneten Tieftemperaturphase.Die experimentell nicht geklärte Struktur kann in derQuantensimulation als antiferroelektrischeFischgrät-Struktur identifiziert werden.Der Phasenübergang liegt mit 6 K sehr nahe am Experiment(5.2 K).Für die Argon-Stickstoff-Mischsysteme wird dasPhasendiagramm in der Konzentrations(x)-Temperatur(T)-Ebeneerstellt. Die Übergangstemperaturen decken sich mit denen desExperiments.In Konfigurationen mit zufälliger Teilchenbesetzung weisen die linearen Moleküle ab Argon-Konzentrationen von10% ein Orientierungsglas-Verhalten auf.Durch einen zusätzlichen Teilchenaustausch wird in denMischsystemen die Bildung einer Windrad-Phase ermöglicht, inder die Argon-Atome eine Überstruktur annehmen.Diese Phase wird experimentell imArgon-Kohlenmonoxid-Mischsystem vorgefunden, dessenx-T-Phasendiagramm in guter Übereinstimmung mit denSimulationsergebnissen steht.Die explizite Berücksichtigung der Quantenmechanik in denComputersimulationen liefert wesentliche Beiträge zurKlärung des Phasenverhaltens und der Bestimmung vonÜbergangstemperaturen der Tieftemperaturstrukturen.

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.

Parahydrogen induced polarization on a clinical MRI system : polarization transfer of two spin order

Hyperpolarization techniques enhance the nuclear spin polarization and thus allow for new nuclear magnetic resonance applications like in vivo metabolic imaging. One of these techniques is Parahydrogen Induced Polarization (PHIP). It leads to a hyperpolarized 1H spin state which can be transferred to a heteronucleus like 13C by a radiofrequency (RF) pulse sequence. In this work, timing of such a sequence was analyzed and optimized for the molecule hydroxyethyl propionate. The pulse sequence was adapted for the work on a clinical magnetic resonance imaging (MRI) system which is usually equipped only with a single RF transmit channel. Optimal control theory optimizations were performed to achieve an optimized polarization transfer. A drawback of hyperpolarization is its limited lifetime due to relaxation processes. The lifetime can be increased by storing the hyperpolarization in a spin singlet state. The second part of this work therefore addresses the spin singlet state of the Cs-symmetric molecule dimethyl maleate which needs to be converted to the spin triplet state to be detectable. This conversion was realized on a clinical MRI system, both by field cycling and by two RF pulse sequences which were adapted and optimized for this purpose. Using multiple conversions enables the determination of the lifetime of the singlet state as well as the conversion efficiency of the RF pulse sequence. Both, the hyperpolarized 13C spin state and the converted singlet state were utilized for MR imaging. Careful choice of the echo time was shown to be crucial for both molecules.

Higher-order calculations in manifestly Lorentz-invariant baryon chiral perturbation theory

This thesis is concerned with calculations in manifestly Lorentz-invariant baryon chiral perturbation theory beyond order D=4. We investigate two different methods. The first approach consists of the inclusion of additional particles besides pions and nucleons as explicit degrees of freedom. This results in the resummation of an infinite number of higher-order terms which contribute to higher-order low-energy constants in the standard formulation. In this thesis the nucleon axial, induced pseudoscalar, and pion-nucleon form factors are investigated. They are first calculated in the standard approach up to order D=4. Next, the inclusion of the axial-vector meson a_1(1260) is considered. We find three diagrams with an axial-vector meson which are relevant to the form factors. Due to the applied renormalization scheme, however, the contributions of the two loop diagrams vanish and only a tree diagram contributes explicitly. The appearing coupling constant is fitted to experimental data of the axial form factor. The inclusion of the axial-vector meson results in an improved description of the axial form factor for higher values of momentum transfer. The contributions to the induced pseudoscalar form factor, however, are negligible for the considered momentum transfer, and the axial-vector meson does not contribute to the pion-nucleon form factor. The second method consists in the explicit calculation of higher-order diagrams. This thesis describes the applied renormalization scheme and shows that all symmetries and the power counting are preserved. As an application we determine the nucleon mass up to order D=6 which includes the evaluation of two-loop diagrams. This is the first complete calculation in manifestly Lorentz-invariant baryon chiral perturbation theory at the two-loop level. The numerical contributions of the terms of order D=5 and D=6 are estimated, and we investigate their pion-mass dependence. Furthermore, the higher-order terms of the nucleon sigma term are determined with the help of the Feynman-Hellmann theorem.

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.

Sensitivity enhancement in NMR by using parahydrogen induced polarization

Enhancing the sensitivity of nuclear magnetic resonance measurements via hyperpolarization techniques like parahydrogen induced polarization (PHIP) is of high interest for spectroscopic investigations. Parahydrogen induced polarization is a chemical method, which makes use of the correlation between nuclear spins in parahydrogen to create hyperpolarized molecules. The key feature of this technique is the pairwise and simultaneous transfer of the two hydrogen atoms of parahydrogen to a double or triple bond resulting in a population of the Zeeman energy levels different from the Boltzmann equation. The obtained hyperpolarization results in antiphase peaks in the NMR spectrum with high intensities. Due to these strong NMR signals, this method finds arnlot of applications in chemistry e.g. the characterization of short-lived reaction intermediates. Also in medicine it opens up the possibility to boost the sensitivity of medical diagnostics via magnetic labeling of active contrast agents. Thus, further examination and optimization of the PHIP technique is of significant importance in order to achieve the highest possible sensitivity gain.rnrnIn this work, different aspects concerning PHIP were studied with respect to its chemical and spectroscopic background. The first part of this work mainly focused on optimizing the PHIP technique by investigating different catalyst systems and developing new setups for the parahydrogenation. Further examinations facilitated the transfer of the generated polarization from the protons to heteronuclei like 13C. The second part of this thesis examined the possibility to transfer these results to different biologically active compounds to enable their later application in medical diagnostics. Onerngroup of interesting substances is represented by metabolites or neurotransmitters in mammalian cells. Other interesting substances are clinically relevant drugs like a barbituric acid derivative or antidepressant drugs like citalopram which were investigated with regard to their applicability for the PHIP technique and the possibility to achievernpolarization transfer to 13C nuclei. The last investigated substrate is a polymerizable monomer whose polymer was used as a blood plasma expander for trauma victims after the first half of the 20th century. In this case, the utility of the monomer for the PHIP technique as a basis for later investigations of a polymerization reaction using hyperpolarized monomers was examined.rnrnHence, this thesis covers the optimization of the PHIP technology, hereby combining different fields of research like chemical and spectroscopical aspects, and transfers the results to applications of real biologally acitve compounds.

The role of dendritic cells (DC) in Friend retrovirus-induced immunosuppression and immunotherapeutic applications of functionalized nanoparticles

Friend murine leukemia Virus (FV) infection of immunocompetent mice is a well- established model to acquire further knowledge about viral immune suppression mechanisms, with the aim to develop therapeutics against retrovirus-induced diseases. Interestingly, BALB/c mice are infected by low doses of FV and die from FV-induced erythroleukemia, while C57/BL6 mice are infected by FV only at high viral dose, and remain persistently infected for their whole life. Due to the central role of dendritic cells (DC) in the induction of anti-viral responses, we asked for their functional role in the genotype-dependent sensitivity towards FV infection. In my PhD study I showed that bone marrow (BM)-derived DC differentiated from FV-infected BM cells obtained from FV-inoculated BALB/c (FV susceptible) and C57BL/6 (FV resistant) mice showed an increased endocytotic activity and lowered expression of MHCII and of costimulatory receptors as compared with non-infected control BMDC. FV-infected BMDC from either mouse strain were partially resistant towards stimulation-induced upregulation of MHCII and costimulators, and accordingly were poor T cell stimulators in vitro and in vivo. In addition, FV-infected BMDC displayed an altered expression profile of proinflammator cytokines and favoured Th2 polarization. Ongoing work is focussed on elucidating the functional role of proteins identified as differentially expressed in FV-infected DC in a genotype-dependent manner, which therefore may contribute to the differential course of FV infection in vivo in BALB/c versus C57BL/6 mice. So far, more than 300 proteins have been identified which are differently regulated in FV-infected vs. uninfected DC from both mouse strains. One of these proteins, S100A9, was strongly upregulated specifically in BMDC derived from FV-infected C57BL/6 BM cells. S100A9-/- mice were more sensitive towards inoculation with FV than corresponding wild type (WT) mice (both C57BL/6 background), which suggests a decisive role of this factor for anti-viral defense. In addition, FV-infected S100A9-/- BMDC showed lower motility than WT DC. The future work is aimed to further elucidate the functional importance of S100A9 for DC functions. To exploit the potential of DC for immunotherapeutic applications, in another project of this PhD study the usability of different types of functionalized nanoparticles