4 resultados para RANDOM MATRICES

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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Deutsch:Schwerpunkt dieser Arbeit war die Entwicklung einer Methode zur Spurenbestimmung von Silicium in organischen und anorganischen Matrices unter Verwendung der massenspektrometrischen Isotopenverdünnungsanalyse (MSIVA) an einem hochauflösenden induktiv gekoppelten Plasma-Massenspektrometer (HR-ICP-MS). Zusätzlich zur Elementspurenbestimmung wurde eine GC/HR-ICP-MS Kopplung entwickelt, die zur Analyse linearer und cyclischer Siloxane verwendet wurde.Die hier entwickelte Analysenmethode erlaubt Nachweisgrenzen für Silicium sowohl in organischen als auch in anorganischen Matrices im oberen ng/g-Bereich und ergab für die im Rahmen dieser Arbeit analysierten Proben Reproduzierbarkeiten von < 20%. Durch einfache Verdünnung nach der Probenvorbereitung in Verbindung mit dem sehr empfindlichen Detektionsverfahren sowie der internen Standardisierung mittels MSIVA erlaubt das Verfahren eine präzise Bestimmung von Silicium in jeglicher Matrix. Neben der Schnelligkeit und Einfachheit eignet sich die hier entwickelte Methode besonders für die Routineanalytik. Die gute Reproduzierbarkeit und der Vergleich mit Ergebnissen von zwei Interlaborstudien unterstreicht zusätzlich die Fähigkeit präzise und richtige Ergebnisse zur Zertifizierung an Standardreferenzmaterialien bezüglich des Siliciums im Spurenbereich zu liefern.Neben dem Gesamtgehalt von Silicium konnten medizinisch relevante Siliciumverbindungen analysiert und quantifiziert werden. Hierbei wurden niedermolekulare Polydimethlysiloxane (PDMS) untersucht, die als Nebenprodukte vor allem in Brustimplantaten auftreten. Grundlage für die Bestimmung dieser Siliciumspezies ist die Kopplung eines hochauflösenden ICP-MS an einen Gaschromatographen. Der hohe Ionisierungsgrad des ICP, gerade unter trockenen Plasmabedingungen, und der elementspezifische und sehr empfindliche massenspektrometrische Detektor erlauben in Verbindung mit dem GC die Bestimmung von Siloxanen bis in den pg/g-Bereich. Aus der Bestimmung des Gesamtgehalts an Silicium und der Bestimmung des Gehalts an den untersuchten Siliciumverbindungen können Vergleiche gemacht werden. Die Analyse beider Parameter ist mit Hilfe in dieser Arbeit entwickelten Methode möglich.Zusätzlich zur Siliciumbestimmung wurde der Gehalt an Platin in Humanproben analysiert, da bei der Herstellung der Füllung von Siliconimplantaten Platinkatalysatoren verwendet werden.

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ABSTRACT One of the major ecological challenges on Lake Victoria resources is the existence of “hot spots”, caused by human waste, urban runoff, and industrial effluents. The lake is tending towards eutrophication which is attributed to the increasing human population in its watershed. A report of the levels of perfluorooctane sulfonate and perfluorooctanoic acid in environmental matrices of Lake Victoria is presented, and the management implication of perfluorinated compounds and similar potential organic pollutants examined. Two widely consumed and economically important fish species namely Lates niloticus (Nile perch) and Oreochromis niloticus (Nile tilapia) were obtained from Winam gulf of Lake Victoria, Kenya, and analysed for perfluorooctane sulfonate and perfluorooctanoic acid in muscles and liver using liquid chromatography coupled with mass spectroscopy. Variability in the concentrations of perfluorooctanoic acid or perfluorooctane sulfonate in river waters (range perfluorooctanoic acid 0.4 – 96.4 ng/L and perfluorooctane sulfonate < 0.4 – 13.2 ng/L) was higher than for Lake waters (range perfluorooctanoic acid 0.4 – 11.7 ng/L and perfluorooctane sulfonate < 0.4 – 2.5 ng/L respectively). Significant correlations were tested between perfluorinated compounds levels in sediments, fish and water. Wastewater treatment plants and other anthropogenic sources have been identified as significant sources or pathways for the introduction of perfluoroalkyl compounds into Lake Victoria ecosystem. In this study, elevated concentrations of perfluorooctanoic acid and perfluorooctane sulfonate was found in two wastewater treatment plants (WWTPs) in Kisumu, City of Kenya. An alternative analytical method to liquid chromatography/ mass spectroscopy for analysis of perfluorocarboxylic acids in abiotic and biotic matrices where high concentrations are expected is also presented. Derivatisation of the acid group to form a suitable alkyl ester provided a suitable compound for mass spectroscopy detection coupled to gas chromatography instrumental analysis. The acid is esterified by an alkyl halide i.e benzyl bromide as the alkylating agent for Perfluorocarboxylic acids quantification. The study also involved degradability measurements of emerging perfluorinated surfactants substitutes. The stability of the substitutes of perfluorinated surfactants was tested by employing advanced oxidation processes, followed by conventional tests, among them an automated method based on the manometric respirometry test and standardized fix bed bioreactor [FBBR] on perfluorobutane sulfonate (PFBS), a fluoroethylene polymer, fluorosurfactant (Zonyl), two fluoraliphaticesters (NOVEC ™ FC4430 and NOVEC ™ FC4432) and 10-(trifluoromethoxy) decane-sulfonate. Most of these emmerging surfactants are well-established in the market and have been used in several applications as alternatives to PFOS and PFOA based surfactants. The results of this study can be used as pioneer information for further studies on the sources, behaviour and fate of PFOA and PFOS and other related compounds in both abiotic and biota compartments of Lake Victoria and other lakes. Further an overview in degradation of emerging perfluorinated compounds substitutes is presented. Contribution in method development especially for acid group based fluorosurfactants is presented. The data obtained in this study can particularly be considered when formulating policies and management measures for preservation and sustainability of Lake Victoria resources.

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This thesis deals with three different physical models, where each model involves a random component which is linked to a cubic lattice. First, a model is studied, which is used in numerical calculations of Quantum Chromodynamics.In these calculations random gauge-fields are distributed on the bonds of the lattice. The formulation of the model is fitted into the mathematical framework of ergodic operator families. We prove, that for small coupling constants, the ergodicity of the underlying probability measure is indeed ensured and that the integrated density of states of the Wilson-Dirac operator exists. The physical situations treated in the next two chapters are more similar to one another. In both cases the principle idea is to study a fermion system in a cubic crystal with impurities, that are modeled by a random potential located at the lattice sites. In the second model we apply the Hartree-Fock approximation to such a system. For the case of reduced Hartree-Fock theory at positive temperatures and a fixed chemical potential we consider the limit of an infinite system. In that case we show the existence and uniqueness of minimizers of the Hartree-Fock functional. In the third model we formulate the fermion system algebraically via C*-algebras. The question imposed here is to calculate the heat production of the system under the influence of an outer electromagnetic field. We show that the heat production corresponds exactly to what is empirically predicted by Joule's law in the regime of linear response.

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In the current work, three studies about non-aqueous dispersions of particles were carried out by using an amphiphilic block copolymer poly(isoprene)-block-poly(methyl methacrylate) (PI-b-PMMA) as stabilizer:rn1. Dispersions of polyurethane and polyurea porous particles for polymer compositesrn2. Dispersions of PMMA and PU particles with PDI dye for study of Single Molecule Spectroscopy Detectionrn3. Dispersions of graphene nanosheets for polymer compositesrnrnIn the first study, highly porous polyurethane and polyurea particles were prepared in a non-aqueous emulsion. The preparation of porous particles consisted of two parts: At first, a system was developed where the emulsion had high stability for the polymerization among diisocyanate, diol and water. In the second part, porous particles were prepared by using two methods fission/fusion and combination by which highly porous particles were obtained. In this study, the applications of porous particles were also investigated where polyurethane particles were tested as filling material for polymer composites and as catalyst carrier for polyethylene polymerization. rnrnIn the second study, PMMA and PU particles from one non-aqueous emulsion were investigated via single molecule fluorescence detection. At first the particles were loaded with PDI dye, which were detected by fluorescence microscopy. The distribution and orientation of the PDI molecules in the particles were successfully observed by Single Molecule Fluorescence Detection. The molecules were homogenously distributed inside of the particles. In addition they had random orientation, meaning that no aggregations of dye molecules were formed. With the results, it could be supposed that the polymer chains were also homogenously distributed in the particles, and that the conformation was relatively flexible. rnrnIn the third part of the study, graphene nanosheets with high surface area were dispersed in an organic solvent with low boiling point and low toxicity, THF, stabilized with a block copolymer PI-b-PMMA. The dispersion was used to prepare polymer composites. It was shown that the modified graphene nanosheets had good compatibility with the PS and PMMA matrices. rn