Statistische Betrachtungen und mößbauerspektroskopische Untersuchungen von Ordnungszuständen in Biotiten

Im Mittelpunkt der vorliegenden Arbeit standen Untersuchungen zu strukturellen Ordnungs- und Unordnungsphänomenen an natürlichen, substitutionellen Mischkristallen. Aufgrund der enormen Vielfalt an potentiellen Austauschpartnern wurden hierfür Vertreter der Biotit-Mischkristallreihe "Phlogopit-Annit" ausgewählt. Ihr modulartiger Aufbau ermöglichte die gezielte Beschreibung von Verteilungsmustern anionischer und kationischer Merkmalsträger innerhalb der Oktaederschicht der Biotit-Mischkristalle. Basierend auf der postulierten Bindungsaffinität zwischen Mg2+ und F- einerseits und Fe2+ und OH- andererseits, wurde die strukturelle Separation einer Fluor-Phlogopit-Komponente als primäre Ausprägungsform des Mg/F-Ordnungsprinzips abgeleitet. Im Rahmen dieser Modellvorstellung koexistieren im makroskopisch homogenen Biotit-Mischkristall Domänen zweier chemisch divergenter Phasen nebeneinander: Eine rein Mg2+/F- - führende Phlogopit-Phase und eine Wirtskristallphase, die mit fortschreitender Separation bzw. Entmischung der erstgenannten Phase sukzessive reicher an einer hydroxylführenden eisenreichen Annit-Komponente wird. Zwecks numerischer Beschreibung diverser Stadien der Entmischungsreaktion wurden die Begriffe der "Relativen" und "Absoluten Domänengröße" eingeführt. Sie stellen ein quantitatives Maß zur Beurteilung der diskutierten Ordnungsphänomene dar. Basierend auf einem sich stetig ändernden Chemismus der Wirtskristallphase kann jeder Übergangszustand zwischen statistischer Verteilung und vollständiger Ordnung durch das korrespondierende Verteilungsmuster der interessierenden Merkmalsträger ( = Nahordnungskonfiguration und Besetzungswahrscheinlichkeit) charakterisiert und beschrieben werden. Durch mößbauerspektroskopische Untersuchungen konnten die anhand der entwickelten Modelle vorhergesagten Ausprägungsformen von Ordnungs-/Unordnungsphänomenen qualitativ und quantitativ verifiziert werden. Es liessen sich hierbei zwei Gruppen von Biotit-Mischkristallen unterscheiden. Eine erste Gruppe, deren Mößbauer-Spektren durch den OH/F-Chemismus als dominierendes Differenzierungsmerkmal geprägt wird, und eine zweite Gruppe, deren Mößbauer-Spektren durch Gruppierungen von höherwertigen Kationen und Vakanzen ( = Defektchemie) geprägt wird. Auf der Basis von Korrelationsdiagrammen, die einen numerischen und graphischen Bezug zwischen absoluter und relativer Domänengröße einerseits und experimentell zugänglichem Mößbauer-Parameter A (= relativer Flächenanteil, korrespondierend mit der Besetzungswahrscheinlichkeit einer bestimmten Nahordnungs-konstellation) andererseits herstellen, konnten für die erste Gruppe die Volumina der beiden miteinander koexistierenden Komponenten "Hydroxyl-Annit reicher Wirtskristall" und "Fluor-Phlogopit" exakt quantifiziert werden. Das Spektrum der untersuchten Proben umfasste hierbei Kristallspezies, die einerseits durch geringe bis mittlere Mg2+/F- - bzw. Fe2+/OH- -Ordnungsgrade gekennzeichnet sind, andererseits eine nahezu vollständige Ordnung der interessierenden Merkmalsträger Mg2+, Fe2+, OH- und F- widerspiegeln. Desweiteren konnte der Nachweis geführt werden, dass für ausgewählte Proben eine quantitative Bestimmung der Defektvolumina möglich ist.

Concept and realization of the A4 compton backscattering polarimeter at MAMI

The main concern of the A4 parity violation experiment at the Mainzer Microtron accelerator facility is to study the electric and magnetic contributions of strange quarks to the charge and magnetism of the nucleons at the low momentum transfer region. More precisely, the A4 collaboration investigates the strange quarks' contribution to the electric and magnetic vector form factors of the nucleons. Thus, it is important that the A4 experiment uses an adequate and precise non-destructive online monitoring tool for the electron beam polarization when measuring single spin asymmetries in elastic scattering of polarized electrons from unpolarized nucleons. As a consequence, the A4 Compton backscattering polarimeter was designed and installed such that we can take the absolute measurement of the electron beam polarization without interruption to the parity violation experiment. The present study shows the development of an electron beam line that is called the chicane for the A4 Compton backscattering polarimeter. The chicane is an electron beam transport line and provides an interaction region where the electron beam and the laser beam overlap. After studying the properties of beam line components carefully, we developed an electron beam control system that makes a beam overlap between the electron beam and the laser beam. Using the system, we can easily achieve the beam overlap in a short time. The electron control system, of which the performance is outstanding, is being used in production beam times. And the study presents the development of a scintillating fiber electron detector that reduces the statistical error in the electron polarization measurement. We totally redesigned the scintillating fiber detector. The data that were taken during a 2008 beam time shows a huge background suppression, approximately 80 percent, while leaving the Compton spectra almost unchanged when a coincidence between the fiber detector and the photon detector is used. Thus, the statistical error of the polarization measurement is reduced by about 40 percent in the preliminary result. They are the significant progress in measuring a degree of polarization of the electron beam.

Mean curvature flow in SE (2) and applications to visual perception

Our goal in this thesis is to provide a result of existence of the degenerate non-linear, non-divergence PDE which describes the mean curvature flow in the Lie group SE(2) equipped with a sub-Riemannian metric. The research is motivated by problems of visual completion and models of the visual cortex.

Qualitative and absolute quantitative studies of the cell-nanoparticle interaction

This thesis focused on the polymer’s influence on the interaction of polymeric NPs with epithelial cells. Furthermore, the measurement of single submicron nanoparticles in a commercially available flow cytometer was established, to provide a new method in the toolbox for nanoparticle-cell studies. This gave way to develop a routine for the absolute quantification of intracellular NPs via flow cytometry. rnThe cellular uptake of poly(methyl methacrylate) (PMMA), polystyrene (PS) and poly(L-lactide) (PLLA) nanoparticles was investigated via flow cytometry. PLLA-NPs were internalized the most efficiently. But upon co-incubation of PS and PLLA particles with cells, the two particles mutually influenced their uptake, slightly shifting the relative uptake efficiencies. This phenomenon should be based on specific properties of the different polymer materials. The findings indicated a competition (which is strongly influenced by properties of the respective polymeric material) for the uptake into the cells, allegedly due to competition for specific coatings with serum components that enhances the NPs’ cellular uptake. The fluorescence of single 150 nm particles was determined with a benchtop cytometer, breaching the machine’s detection limit but yielding precise NP fluorescence standardization factors. Up to now, these standardization factors are mostly determined by spectroscopic analysis of the particles’ dye content. Finally a flow cytometric routine for absolute particle counting in cells was devised. This quantitation revealed a low uptake efficiency for un-functionalized PMMA NPs of less than 150 NPs (approx. 0,001 % of added) per cell.rn

Absolute Hodge cycles and Deligne's principle b

I cicli di Hodge assoluti sono stati utilizzati da Deligne per dividere la congettura di Hodge in due sotto-congetture. La prima dice che tutte le classi di Hodge su una varietà complessa proiettiva liscia sono assolute, la seconda che le classi assolute sono algebriche. Deligne ha dato risposta affermativa alla prima sottocongettura nel caso delle varietà abeliane. La dimostrazione si basa su due teoremi, conosciuti rispettivamente come Principio A e Principio B. In questo lavoro vengono presentate la teoria delle classi di Hodge assolute e la dimostrazione del Principio B.

Curvature induced nanoscale rafts in lipid membranes

We present a coarse grained model for computer simulations of lipid mixtures, which we use to study generic mechanisms for the formation of nanoscale membrane structures (lipid rafts). We observe that even a two component system can separate into rafts of finite size, and we study these rafts and other membrane structures in detail. We look at the characteristics of our model that enable these phenomena and how they may relate to lipid-cholesterol or lipid-lipid mixtures. We propose an explanation for our findings using elastic theory to describe a possible mechanism of raft stabilization via curvature differences between coexisting lipid phases and we investigate whether this theory can be used to explain the results of our computer simulations.

Atropisomeric xanthines: Synthesis, stereodynamics and absolute configuration

During the thesis period a new class of atropisomeric xanthine derivatives has been studied. We decided to focus our attention on these purine bases because of their various biological activities, that could play an important role in the discovery of new bioactive atropisomers. The synthesized compounds bear an Aryl-N chiral axis in position 1 of the xanthine scaffold, around which the rotation is prevented by the presence of bulky ortho substituents. Through a retro synthetic analysis we synthesized three atropisomeric structures bearing in position 1 of the purine scaffold respectively an o-tolyl, o-nitrophenyl and a 1-naphthyl group. The conformational studies by DFT simulations showed that the interconversion energy barrier between the two available skewed conformations is higher enough to obtain thermally stable atropisomers. After the separation of the atropisomers, the experimental energy of interconversion was investigated by means of kinetic studies following the thermal racemization process using an enantioselective HPLC column. The absolute configuration of each atropisomer was assigned by experimental ECD analysis and TD-DFT simulations of the ECD spectra.

Right ventricular absolute myocardial blood flow in complex congenital heart disease

A consequence in patients with d-transposition of the great arteries (d-TGA) and tetralogy of Fallot (TOF) is right ventricular hypertrophy (RVH) and right ventricular failure. Myocardial contrast echocardiography (MCE) permits the determination of the myocardial microvascular density reflected by the relative myocardial blood volume (rBV; ml/ml). This study was conducted to elucidate the relationship between RVH and myocardial microvascular changes by quantitative MCE in patients with d-TGA and TOF.

Absolute pKa Determinations for Substituted Phenols

The CBS-QB3 method was used to calculate the gas-phase free energy difference between 20 phenols and their respective anions, and the CPCM continuum solvation method was applied to calculate the free energy differences of solvation for the phenols and their anions. The CPCM solvation calculations were performed on both gas-phase and solvent-phase optimized structures. Absolute pKa calculations with solvated phase optimized structures for the CPCM calculations yielded standard deviations and root-mean-square errors of less than 0.4 pKa unit. This study is the most accurate absolute determination of the pKa values of phenols, and is among the most accurate of any such calculations for any group of compounds. The ability to make accurate predictions of pKa values using a coherent, well-defined approach, without external approximations or fitting to experimental data, is of general importance to the chemical community. The solvated phase optimized structures of the anions are absolutely critical to obtain this level of accuracy, and yield a more realistic charge separation between the negatively charged oxygen and the ring system of the phenoxide anions.

Absolute pitch and planum temporale

An increased leftward asymmetry of the planum temporale (PT) in absolute-pitch (AP) musicians has been previously reported, with speculation that early exposure to music influences the degree of PT asymmetry. To test this hypothesis and to determine whether a larger left PT or a smaller right PT actually accounts for the increased overall PT asymmetry in AP musicians, anatomical magnetic resonance images were taken from a right-handed group of 27 AP musicians, 27 nonmusicians, and 22 non-AP musicians. A significantly greater leftward PT asymmetry and a significantly smaller right absolute PT size for the AP musicians compared to the two control groups was found, while the left PT was only marginally larger in the AP group. The absolute size of the right PT and not the left PT was a better predictor of music group membership, possibly indicating “pruning” of the right PT rather than expansion of the left underlying the increased PT asymmetry in AP musicians. Although early exposure to music may be a prerequisite for acquiring AP, the increased PT asymmetry in AP musicians may be determined in utero, implicating possible genetic influences on PT asymmetry. This may explain why the increased PT asymmetry of AP musicians was not seen in the group of early beginning non-AP musicians.

Memory for the absolute pitch of familiar songs

Four experiments were conducted to examine the ability of people without "perfect pitch" to retain the absolute pitch offamiliar tunes. In Experiment 1, participants imagined given tunes, and then hummed their first notes four times either between or within sessions. The variability of these productions was very low. Experiment 2 used a recognition paradigm, with results similar to those in Experiment 1 for musicians, but with some additional variability shown for unselected subjects. In Experiment 3, subjects rated the suitability ofvarious pitches to start familiar tunes. Previously given preferred notes were rated high, as were notes three or four semitones distant from the preferred notes, but not notes one or two semitones distant. In Experiment 4, subjects mentally transformed the pitches of familiar tunes to the highest and lowest levels possible. These experiments suggest some retention of the absolute pitch of tunes despite a paucity of verbal or visual cues for the pitch.

Influence of a totally open oval window on bone conduction in otosclerosis

The aim of this study was to evaluate changes in bone conduction thresholds before, during and after total stapedectomy.