Genesis of metasomatic sapphirine-corundum-spinel-bearing granulites in Sri Lanka

The goal of the present study is to understand the mechanism of mass transfer, the composition and the role of fluids during crustal metasomatism in high-temperature metamorphic terranes. A well constrained case study, a locality at Rupaha, Sri Lanka was selected. It is located in the Highland Complex of Sri Lanka, which represents a small, but important fragment of the super-continent Gondwana. Excellent exposures of ultramafic rocks, which are embedded in granulites, were found at 10 localities. These provide a unique background for understanding the metasomatic processes. The boundary between the ultramafic and the granulite rocks are lined with metasomatic reaction zones up to 50cm in width. Progressing from the ultramafics to the granulite host rock, three distinct zones with the following mineral assemblages can be distinguished: (1). phlogopite + spinel + sapphirine, (2). spinel + sapphirine and (3). corundum + biotite + plagioclase. In order to assess the P-T-t path, the peak metamorphism and the exhumation history were constrained using different thermobarometers, as well as a diffusion model of garnet zoning. A maximum temperature of 875 ± 20oC (Opx-Cpx thermometer) and at the peak pressure of 9.0 ± 0.1 kbar (Grt-Cpx-Pl-Qtz) was calculated for the silicic granulite. The ultramafic rocks recorded a peak temperature of 840 ± 70oC (Opx-Cpx thermometer) at 9 kbar. Coexisting spinel and sapphirine from the reaction zone yield a temperature of 820 ± 40oC. This is in agreement with the peak-temperatures recorded in the adjacent granulites and ultramafics rocks. The structural concordance of the ultramafic rocks with the siliceous granulite host rock further support the suggestion, that all units have experienced the same peak metamorphism. Diffusion modeling of retrograde zoning in garnets from mafic granulites suggests a three-step cooling history. A maximum cooling rate of 1oC/Ma is estimated during the initial stage of cooling, followed by a cooling rate of ~30oC/Ma. The outermost rims of garnet indicate a slightly slower cooling rate at about 10-15oC/Ma. The sequences of mineral zones, containing a variety of Al-rich, silica undersaturated minerals in the reaction zones separating the ultramafic rocks from the silica-rich rocks can be explained by a diffusion model. This involves the diffusion of Mg from ultramafic rocks across the layers, and K and Si diffuse in opposite direction. Chemical potential of Mg and Si generated continuous monotonic gradient, allowing steady state diffusional transport across the profile. The strong enrichment in Al, and the considerable loss of Si, during the formation of reaction bands can be inferred from isocon diagrams. Some Al was probably added to the reaction zones, while Si was lost. This is most likely due to fluids percolating parallel to the zones at the boundary of the rock units. This study has shown that not only pressure and temperature conditions but most importantly PH2O and the concentration of the chlorine and fluorine in aqueous fluids also control the mass transport in different geological environments.

Persistent currents in quantum rings

In this thesis, three different types of quantum rings arestudied. These are quantum rings with diamagnetic,paramagnetic or spontaneous persistent currents. It turns out that the main observable to characterizequantum rings is the Drude weight. Playing a key role inthis thesis, it will be used to distinguish betweendiamagnetic (positive Drude weight) and paramagnetic(negative Drude weight) ring currents. In most models, theDrude weight is positive. Especially in the thermodynamiclimit, it is positive semi-definite. In certain modelshowever, intuitivelysurprising, a negative Drude weight is found. This rareeffect occurs, e.g., in one-dimensional models with adegenerate ground state in conjunction with the possibilityof Umklapp scattering. One aim of this thesis is to examineone-dimensional quantum rings for the occurrence of anegative Drude weight. It is found, that the sign of theDrude weight can also be negative, if the band structurelacks particle-hole symmetry. The second aim of this thesis is the modeling of quantumrings intrinsically showing a spontaneous persistentcurrent. The construction of the model starts from theextended Hubbard model on a ring threaded by anAharonov-Bohm flux. A feedback term through which thecurrent in the ring can generate magnetic flux is added.Another extension of the Hamiltonian describes the energystored in the internally generated field. This model isevaluated using exact diagonalization and an iterativescheme to find the minima of the free energy. The quantumrings must satisfy two conditions to exhibit a spontaneousorbital magnetic moment: a negative Drude weight and aninductivity above the critical level. The magneticproperties of cyclic conjugated hydrocarbons likebenzene due to electron delocalization [magnetic anisotropy,magnetic susceptibility exaltation, nucleus-independent chemical shift (NICS)]---that have become important criteriafor aromaticity---can be examined using this model. Corrections to the presented calculations are discussed. Themost substantial simplification made in this thesis is theneglect of the Zeeman interaction of the electron spins withthe magnetic field. If a single flux tube threads a quantumring, the Zeeman interaction is zero, but in mostexperiments, this situation is difficult to realize. In themore realistic situation of a homogeneous field, the Zeemaninteraction has to be included, if the electrons have atotal spin component in the direction of the magnetic field,or if the magnetic field is strong.

Weathering of Fe-bearing minerals under extraterrestrial conditions, investigated by Mössbauer spectroscopy

The weathering of Fe-bearing minerals under extraterrestrial conditions was investigated by Mössbauer (MB) spectroscopy to gain insights into the role of water on the planet Mars. The NASA Mars Exploration Rovers Spirit and Opportunity each carry a miniaturized Mössbauer spectrometer MIMOS II for the in situ investigation of Martian soils and rocks as part of their payload. The MER flight instruments had to be modified in order to work over the Martian diurnal temperature range (180 K – 290 K) and within the unique electronic environment of the rovers. The modification required special calibration procedures. The integration time necessary to obtain a good quality Mössbauer spectrum with the MIMOS II flight instruments was reduced by 30 % through the design of a new collimator. The in situ investigation of rocks along the rover Spirit's traverse in Gusev crater revealed weakly altered olivine basalt on the plains and pervasively altered basalt in the Columbia Hills. Correlation plots of primary Fe-bearing minerals identified by MB spectroscopy such as olivine versus secondary Fe-bearing phases such as nanophase Fe oxides showed that olivine is the mineral which is primarily involved in weathering reactions. This argues for a reduced availability of water. Identification of the Fe-oxyhydroxide goethite in the Columbia Hills is unequivocal evidence for aqueous weathering processes in the Columbia Hills. Experiments in which mineral powders were exposed to components of the Martian atmosphere showed that interaction with the atmosphere alone, in the absence of liquid water, is sufficient to oxidize Martian surface materials. The fine-grained dust suspended in the Martian atmosphere may have been altered solely by gas-solid reactions. Fresh and altered specimens of Martian meteorites were investigated with MIMOS II. The study of Martian meteorites in the lab helped to identify in Bounce Rock the first rock on Mars which is similar in composition to basaltic shergottites, a subgroup of the Martian meteorites. The field of astrobiology includes the study of the origin, evolution and distribution of life in the universe. Water is a prerequisite for life. The MER Mössbauer spectrometers identified aqueous minerals such as jarosite and goethite. The identification of jarosite was crucial to evaluate the habitability of Opportunity's landing site at Meridiani Planum during the formation of the sedimentary outcrop rocks, because jarosite puts strong constrains on pH levels. The identification of olivine in rocks and soils on the Gusev crater plains provide evidence for the sparsity of water under current conditions on Mars. Ratios of Fe2+/Fe3+ were obtained with Mössbauer spectroscopy from basaltic glass samples which were exposed at a deep sea hydrothermal vent. The ratios were used as a measure of potential energy for use by a microbial community. Samples from Mars analogue field sites on Earth exhibiting morphological biosignatures were also investigated.

Metallkomplexe mit sterisch anspruchsvollen mono- und bifunktionellen Triazenidoliganden

Monoanionische, stickstoffhaltige Chelatliganden sind sehr populär und werden oft als Baueinheiten zur Synthese von Metallkomplexen eingesetzt. Im Gegensatz zu den bekannten Amidinat- und β-Diketiminatliganden wurde den Triazeniden bisher weniger Aufmerksamkeit geschenkt. Dies liegt hauptsächlich daran, dass wenige, sterisch anspruchsvolle Vertreter dieser Gruppe bekannt waren. Mit der Synthese neuer biphenyl- und terphenylsubstituierter Triazenide sind diese stärker in den Fokus der Forschung gerückt. Durch die Sperrigkeit der Liganden werden unerwünschte Ligandenumverteilungsreaktionen unterdrückt und der Weg zu neuen Metallkomplexen mit bemerkenswerten Eigenschaften geebnet. Diese Arbeit beschäftigt sich mit Triazenidokomplexen der Alkalimetalle, des Magnesiums, des Zinks und des Aluminiums. Zusätzlich zu den monofunktionellen wurden bifunktionelle Triazene, welche aus einer Biphenylgruppe aufgebaut sind und zwei terphenylsubstituierte Triazengruppen tragen, synthetisiert und deren Funktion als Komplexliganden untersucht. Durch das hohe Volumen der Liganden konnten Metallkomplexe hergestellt werden, die bemerkenswerte strukturelle Eigenschaften aufweisen. So bilden beispielsweise alle dargestellten Verbindungen Kristalle, die aus monomeren Baueinheiten aufgebaut sind. Eine homoleptische Magnesiumverbindung mit zwei Triazenidliganden weist eine ungewöhnliche, planare Koordinationssphäre auf, eine Triazenidodiphenylaluminiumverbindung zeigt eine interessante Ausrichtung der Phenylgruppen, die auf π-Stapeleffekte zurückgeführt wird und die Alkalimetalltriazenide weisen sekundäre Metall-π-Aren-Wechselwirkungen auf, womit eine bessere koordinative Absättigung des Koordinationszentrums erreicht wird. Zusätzlich zur strukturellen Charakterisierung mittels Röntgendiffraktometrie wurden, wo es möglich war 1H und 13C NMR-Messungen durchgeführt, Schmelzpunkte bestimmt sowie IR- und UV-VIS-Spektren aufgenommen. Durch die hohe Dichte an aromatischen Systemen innerhalb der Verbindungen, ist es bei einer dreikernigen Zinktriazenidverbindung gelungen mittels 1H NMR-Messungen die starken Einflüsse des Ringstroms nachzuweisen. Außerdem wurden DFT-Berechnungen durchgeführt, um herauszufinden, wie sehr die räumliche Ausrichtung der Bi- bzw. Terphenylsubstituenten gegenüber der N3-Baugruppe der Triazenide die Verteilung der negativen Ladung innerhalb eines monoanionischen Triazenids und somit dessen Koordinationseigenschaften beeinflusst. Diese Effekte konnten durch experimentelle Ergebnisse unterstützt werden.