Die Arbeit behandelt Methoden zur Analyse bzw. Synthese elektromechanischer Systeme mit endlichem Freiheitsgrad (EMS). Dabei wird von einer einheitlichen mathematischen Modellierung solcher Systeme basierend auf dem Prinzip der virtuellen Arbeit in Lagrange'scher Fassung ausgegangen. Als Analysemethoden für strukturfeste EMS werden neben der numerischen Integration die Bestimmung von Gleichgewichtszuständen und die Herleitung der linearisierten Gleichungen zur Schwingungsanalyse dargelegt. Auf die Analyse von strukturvariablen EMS wird ausführlich eingegangen. Dazu werden Phänomene der Strukturvariabilität domänenunabhängig als unilaterale Bindungen aufgefasst und mittels komplementärer Variablen beschrieben. Die kombinatorische Aufgabe der Strukturfindung wird mittels eines linearen Komplementaritätsproblems gelöst. Die Synthese eines EMS wird als inverses Problem der Dynamik aufgefasst. Bei fester Gesamtkonfiguration führt das auf die nichtlineare dynamische Steuerung solcher Systeme. Dazu wird ein so genannter erweiterter PD-Regler - bestehend aus einer nichtlinearen Vorsteuerung auf Basis der inversen Dynamik des EMS und einer linearen Rückführung des Lage- und Geschwindigkeitsfehlers - entworfen. Die globale asymptotische Stabilität dieses Regelgesetzes wird durch explizite Konstruktion einer Lyapunov-Funktion nachgewiesen. Einige Beispiele zur Anwendung der aufgeführten Analyse- und Synthesemethoden runden die Arbeit ab. The thesis deals with methods for analysis and synthesis of electromechanical systems with finite degrees of freedom (EMS). Starting point is a unified mathematical approach to modelling such systems based on the principle of virtual work in Lagrange's formulation. Numerical integration, determination of equilibrium states and derivation of linearized equations are used as analytical methods for EMS with fixed structure. Electromechanical systems with variable structure are regarded explicitly. Phenomena of structural variability are comprehended as unilateral constraints and described using complementary variables. The combinatorial task of finding a valid structure is solved using a linear complementarity problem. The synthesis of EMS is understood as an inverse task of dynamics. Using a fixed configuration, this approach leads to non-linear dynamic control of such systems. A so-called augmented PD-controller - consisting, on the one hand, of a non-linear feedforward based on inverse dynamics of the EMS and, on the other hand, of a linear feedback using position and velocity errors - is designed. Global asymptotic stability is proven by explicit construction of a Lyapunov-function. Some examples showing the usage of the corresponding analytical and synthetic methods are given.

No description available.

No description available.

Self-assembly processes were used to construct supramolecular architectures based on metal-ligand interactions. The structures formed strongly depend on the used metal ion, the ligand type, the chosen counter ion and solvent as well as on the experimental conditions. The focus of the studies was the design of multifunctional N-donor ligands and the characterization of their complexing and structural properties. This work was divided into three distinct main parts: The bis(2-pyridylimine), the bis(2-hydroxyaryl) imine and the tripodal imine / amine ligand approach. In the first part a series of bis(2-pyridylimine) derivatives having different linking elements were employed as building blocks for novel supramolecular architectures. Reaction of individual d-block metal salts with these ligands has led to the isolation of coordination polymers, a metallamacrocycle, double-stranded helicates, triple-stranded helicates as well as of circular meso-helicates. The nature of the spacer in the Schiff base ligands, the noncovalent weak interactions, such as hydrogen bond, face-to-face π-π and edge-to-face CH-π interactions, are all important factors influencing the architecture of the final products. Topological control of the assembly process of the hexanuclear meso-helicates is clearly associated with the bidentate coordination of the sulfate anion which directs the formation of a double- rather than a triple-stranded helicate around the octahedrally coordinated Cu(II). Surprisingly, the variation of the linker function in the ligands, which significantly changes the linking angle of the pyridylimine strands, has only a little influence of the resulting structure. Also the use of a mixture of ligands does not influence the meso-helicate topology; the result is the symmetrically mixed meso-helicate. The new iron(II) triple helicate [Fe2(L5)3](PF6)4 14 {L5 = bis[4-(2-pyridylmethyleneimino)phenyl]-1,1-cyclohexane} in its chloride form binds strongly to DNA as confirmed by induced circular dichroism signals in both the metal-to-ligand charge transfer (MLCT) and in-ligand bands of the helicate. The induced CD spectrum gives some evidence that [Fe2(L5)3]4+ interacts with the DNA in a single binding mode, which is consistent with major groove binding. The cytotoxicity of the new iron(II) triple helicate 14 was evaluated on human lung cancer A549 cells and compared with that of cisplatin and that of the previously reported iron(II) triple helicate [Fe2(L1)3]4+{L1 = bis[4-(2-pyridylmethyleneimino)phenyl]methane}. The first results show some distinguishing features for 14 obviously caused by the existing structural differences of the complexes. In the second part of the thesis, novel uranyl complexes of the bis(2-hydroxyaryl) imine ligands have been synthesized and characterized. 1D coordination polymers and mononuclear structures were formed. In all complexes a distorted hexagonal bipyramidal coordination geometry around the uranyl centre is observed. The imine nitrogen atoms of the ligands do not bind to the metal centre but interact strongly with the hydroxy group via H-bonding. DFT calculations made with L8 ( α,α’-Bis(salicylimino)-m-xylene) are in good agreement with the X-ray crystal structure data. Liquid-liquid extraction studies involving selected ligands and Eu(III) or U(VI) indicate remarkably high selectivity for U(VI) over Eu(III) at weak acidic pH conditions. We believe that the study made opens up new possibilities for uranyl ion extraction which could be interesting in view of the treatment of nuclear waste. In the third part of the thesis, a series of multifunctional tripodal ligands with different N-donor centres were used for U(VI) and lanthanide, Nd(III), Eu(III) and Yb(III), binding and extraction. Reaction of these metal ions with selected tripodal ligands afforded complexes which were characterized by ESI mass spectroscopy. The complex composition was found to be 1:1 in all cases. The extraction behaviour of the tripodal ligands towards Eu(III) and U(VI) was studied both in the absence and presence of octanoic acid as co-ligand using the extraction system Eu(NO3)3 or UO2(NO3)2–buffer–H2O/ ligand–CHCl3. These separation systems show a remarkably high selectivity for U(VI) over Eu(III). It is interesting to note that the addition of the octanoic acid to the extraction system leads to high synergistic effects. A series of Eu(III) extraction experiments were done to clarify the composition of the extracted complexes. The results clearly point to the formation of various species with changing composition.

Die Arbeit behandelt Methoden zur Analyse bzw. Synthese elektromechanischer Systeme mit endlichem Freiheitsgrad (EMS). Dabei wird von einer einheitlichen mathematischen Modellierung solcher Systeme basierend auf dem Prinzip der virtuellen Arbeit in Lagrange'scher Fassung ausgegangen. Als Analysemethoden für strukturfeste EMS werden neben der numerischen Integration die Bestimmung von Gleichgewichtszuständen und die Herleitung der linearisierten Gleichungen zur Schwingungsanalyse dargelegt. Auf die Analyse von strukturvariablen EMS wird ausführlich eingegangen. Dazu werden Phänomene der Strukturvariabilität domänenunabhängig als unilaterale Bindungen aufgefasst und mittels komplementärer Variablen beschrieben. Die kombinatorische Aufgabe der Strukturfindung wird mittels eines linearen Komplementaritätsproblems gelöst. Die Synthese eines EMS wird als inverses Problem der Dynamik aufgefasst. Bei fester Gesamtkonfiguration führt das auf die nichtlineare dynamische Steuerung solcher Systeme. Dazu wird ein so genannter erweiterter PD-Regler - bestehend aus einer nichtlinearen Vorsteuerung auf Basis der inversen Dynamik des EMS und einer linearen Rückführung des Lage- und Geschwindigkeitsfehlers - entworfen. Die globale asymptotische Stabilität dieses Regelgesetzes wird durch explizite Konstruktion einer Lyapunov-Funktion nachgewiesen. Einige Beispiele zur Anwendung der aufgeführten Analyse- und Synthesemethoden runden die Arbeit ab. The thesis deals with methods for analysis and synthesis of electromechanical systems with finite degrees of freedom (EMS). Starting point is a unified mathematical approach to modelling such systems based on the principle of virtual work in Lagrange's formulation. Numerical integration, determination of equilibrium states and derivation of linearized equations are used as analytical methods for EMS with fixed structure. Electromechanical systems with variable structure are regarded explicitly. Phenomena of structural variability are comprehended as unilateral constraints and described using complementary variables. The combinatorial task of finding a valid structure is solved using a linear complementarity problem. The synthesis of EMS is understood as an inverse task of dynamics. Using a fixed configuration, this approach leads to non-linear dynamic control of such systems. A so-called augmented PD-controller - consisting, on the one hand, of a non-linear feedforward based on inverse dynamics of the EMS and, on the other hand, of a linear feedback using position and velocity errors - is designed. Global asymptotic stability is proven by explicit construction of a Lyapunov-function. Some examples showing the usage of the corresponding analytical and synthetic methods are given.

Diese Arbeit beschäftigt sich mit den besonderen elektronischen Eigenschaften der Übergangsmetall-Aluminide. In Anlehnung an die Quasikristalle und ihre Approximanten zeigt sich, dass selbst Materialien mit kleinen Einheitszellen die gleichen überraschenden Effekte aufweisen. So gibt es unter den Übergangsmetall-Aluminiden auch semimetallische und halbleitende Verbindungen, auch wenn sie aus klassisch-metallischen Komponenten wie Fe, Al oder Cr bestehen. Diese Eigenschaften sind außerdem mit einem tiefen Pseudogap bzw. Gap in der Zustandsdichte und starken kovalenten Bindungen gekoppelt. Bindungen werden im Rahmen dieser Arbeit durch zwei wesentliche Eigenschaften beschrieben. Erstens durch die Bindungsladung und zweitens durch die energetische Auswirkung der Bindung. Es ergibt sich, dass im Fall halbleitender Übergangsmetall-Aluminide zum einen eine Sättigung von bestimmten Bindungen, wie auch ein bindungs-antibindungs-Wechsel bei der Fermi-Energie vorliegt. Mit der Analyse der Nahordnung in Form der sogenannten lokalen Koordinationspolyeder ist es gelungen, eine einfache Regel für Halbleiter aufzustellen, die Fünffachkoordination für Al. Diese Regel besagt, dass Aluminium-Atome mit ihren drei Valenzelektronen nicht in der Lage sind, mehr als fünf gesättigte Bindungen zu ihren nächsten Übergangsmetall-Nachbarn aufzubauen. In exzellenter Übereinstimmung mit den in Annahme gleichartiger Bindungen theoretisch vorhergesagten Bindungswinkel ergibt sich, dass alle binären Übergangs-Aluminid-Halbleiter für die Al-Atome die gleiche Nahordnung aufweisen. Typische Werte für spezifische Widerstände der untersuchten Materialien bei Raumtemperatur liegen im Bereich von einigen 100µOhm cm, was weit größer ist als einige 10µOhm cm wie im Fall der unlegierten Metalle. Überraschend ist außerdem eine hohe Transportanisotropie mit einem Verhältnis der spezifischen Widerstände bis zu 3.0. Eine wesentliche Errungenschaft der Arbeit kann in der Verknüpfung der Eigenschaft des elektronischen Transports und der Bindungseigenschaften gesehen werden. Die geringen Leitfähigkeiten konnten durch geringe Werte in der Zustandsdichte (DOS) und einem bei gleicher Energie stattfindenden bindungs-antibindungs-Wechsel erklärt werden.

Mixed association of calix[4]resorcinarene with ethyl sulfonate groups on the lower rim and dimethylaminomethyl groups on the upper rim (CR) and cationic surfactant 4-aza-1-hexadecyl-azoniabicyclo[2.2.2]octane bromide (DABCO-16) is studied by methods of tensiometry, conductometry, potentiometry and NMR spectroscopy at fixed CR concentration and varied surfactant concentration. Beyond ca. 0.4 mM of DABCO-16, mixed aggregates enriched by CR are proved to be formed due to electrostatic forces, while beyond ca. 5 mM, aggregates enriched by surfactant occur due to the hydrophobic effect. Spectrophotometry monitoring of the solubilization of a hydrophobic dye, Orange OT, demonstrated that only the second type of mixed aggregate enriched by DABCO-16 is capable of binding the organic probe, while the mixed system where the surfactant is a minor component shows no binding capacity towards Orange OT. This finding can be used for the design of nanocontainers with controllable binding/release properties. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.

Micro-pollutants such as 17β-estradiol (E2) have been detected in different water resources and their negative effects on the environment and organisms have been demonstrated. It is essential to confirm the presence of micro-pollutants in different environments by biosensors and to remove these compounds. In this thesis, E2-binding target structures were used to investigate the underlying binding properties. E2-binding protein, DNA-, and PNA-aptamere (peptide nucleic acid) structures were used as targets to determine physicochemical interactions. The protein dataset consist of 35 publicly accessible three-dimensional structures of E2-protein complexes, from which six representative binding sites could be selected. There is no three-dimensional structure information for an E2-specific DNA aptamer, thus it was modeled using a coarse-grained modeling method. Using sequence information additional DNA aptamers were modeled. The E2 ligand was positioned close to the potential binding area of the aptamer structures, the underlying complexes were investigated by a molecular dynamics simulation, and the interactions were examined by an interaction profiler tool for each time step. A PNA generator was developed that can convert DNA and RNA in silico to more robust, but chemically equivalent PNA. This generator was used to transform the E2-specific DNA aptamer into PNA for binding studies with E2. All formed complexes were investigated with respect to the following non-covalent interaction types: hydrogen bonds, water-mediated hydrogen bonds, π-stacking, and hydrophobic interactions. Ten functional groups could be derived which formed the conserved interactions to E2. The study contributes to the understanding of the behavior of ligands that bind through different target structures in an aqueous solution and to the identification of binding specific interaction partners. The results of this thesis can be used to design novel synthetic receptor and filter systems.

Self-assembly processes were used to construct supramolecular architectures based on metal-ligand interactions. The structures formed strongly depend on the used metal ion, the ligand type, the chosen counter ion and solvent as well as on the experimental conditions. The focus of the studies was the design of multifunctional N-donor ligands and the characterization of their complexing and structural properties. This work was divided into three distinct main parts: The bis(2-pyridylimine), the bis(2-hydroxyaryl) imine and the tripodal imine / amine ligand approach. In the first part a series of bis(2-pyridylimine) derivatives having different linking elements were employed as building blocks for novel supramolecular architectures. Reaction of individual d-block metal salts with these ligands has led to the isolation of coordination polymers, a metallamacrocycle, double-stranded helicates, triple-stranded helicates as well as of circular meso-helicates. The nature of the spacer in the Schiff base ligands, the noncovalent weak interactions, such as hydrogen bond, face-to-face π-π and edge-to-face CH-π interactions, are all important factors influencing the architecture of the final products. Topological control of the assembly process of the hexanuclear meso-helicates is clearly associated with the bidentate coordination of the sulfate anion which directs the formation of a double- rather than a triple-stranded helicate around the octahedrally coordinated Cu(II). Surprisingly, the variation of the linker function in the ligands, which significantly changes the linking angle of the pyridylimine strands, has only a little influence of the resulting structure. Also the use of a mixture of ligands does not influence the meso-helicate topology; the result is the symmetrically mixed meso-helicate. The new iron(II) triple helicate [Fe2(L5)3](PF6)4 14 {L5 = bis[4-(2-pyridylmethyleneimino)phenyl]-1,1-cyclohexane} in its chloride form binds strongly to DNA as confirmed by induced circular dichroism signals in both the metal-to-ligand charge transfer (MLCT) and in-ligand bands of the helicate. The induced CD spectrum gives some evidence that [Fe2(L5)3]4+ interacts with the DNA in a single binding mode, which is consistent with major groove binding. The cytotoxicity of the new iron(II) triple helicate 14 was evaluated on human lung cancer A549 cells and compared with that of cisplatin and that of the previously reported iron(II) triple helicate [Fe2(L1)3]4+{L1 = bis[4-(2-pyridylmethyleneimino)phenyl]methane}. The first results show some distinguishing features for 14 obviously caused by the existing structural differences of the complexes. In the second part of the thesis, novel uranyl complexes of the bis(2-hydroxyaryl) imine ligands have been synthesized and characterized. 1D coordination polymers and mononuclear structures were formed. In all complexes a distorted hexagonal bipyramidal coordination geometry around the uranyl centre is observed. The imine nitrogen atoms of the ligands do not bind to the metal centre but interact strongly with the hydroxy group via H-bonding. DFT calculations made with L8 ( α,α’-Bis(salicylimino)-m-xylene) are in good agreement with the X-ray crystal structure data. Liquid-liquid extraction studies involving selected ligands and Eu(III) or U(VI) indicate remarkably high selectivity for U(VI) over Eu(III) at weak acidic pH conditions. We believe that the study made opens up new possibilities for uranyl ion extraction which could be interesting in view of the treatment of nuclear waste. In the third part of the thesis, a series of multifunctional tripodal ligands with different N-donor centres were used for U(VI) and lanthanide, Nd(III), Eu(III) and Yb(III), binding and extraction. Reaction of these metal ions with selected tripodal ligands afforded complexes which were characterized by ESI mass spectroscopy. The complex composition was found to be 1:1 in all cases. The extraction behaviour of the tripodal ligands towards Eu(III) and U(VI) was studied both in the absence and presence of octanoic acid as co-ligand using the extraction system Eu(NO3)3 or UO2(NO3)2–buffer–H2O/ ligand–CHCl3. These separation systems show a remarkably high selectivity for U(VI) over Eu(III). It is interesting to note that the addition of the octanoic acid to the extraction system leads to high synergistic effects. A series of Eu(III) extraction experiments were done to clarify the composition of the extracted complexes. The results clearly point to the formation of various species with changing composition.

In dieser Untersuchung wurden Daten zur Nährstoff- und Humusversorgung sowie zur Fruchtfolgegestaltung von ökologisch wirtschaftenden Landwirtschaftsbetrieben im Freistaat Sachsen über einen Zeitraum von 6 Jahren gesammelt und ausgewertet. Insgesamt stand Datenmaterial von 810 ökologisch bewirtschaften Acker- und Grünlandschlägen und mehr als 4.800 Ernten zur Verfügung. Die Beurteilung des Nährstoff- und Humusmanagement erfolgte auf Schlag- und Betriebsebene für den pH-Wert und die Grundnährstoffe des Bodens. Ergänzend wurden Nährstoff- und Humusbilanzen sowie der Düngebedarf mit dem Programm BEFU, Teil Ökolandbau, berechnet. Für die Beurteilung des Fruchtfolgemanagements wurde ein geeignetes Bewertungsverfahren entwickelt und angewendet, mit dem der Erfüllungsgrad von Aufgaben und Regeln der Fruchtfolgegestaltung durch leicht erfass- und überprüfbare Kriterien abgeschätzt werden konnte.:1 Einleitung und Problemstellung 2 Material und Methoden 2.1 Datengrundlage 2.2 Bewertung des Nährstoff- und Humusmanagements 2.3 Bewertung der Fruchtfolgegestaltung 2.4 Statistische Verrechnung 3 Ergebnisse 3.1 Analyse des Nährstoff- und Anbaumanagements auf Betriebsebene 3.2 Schlagbezogene Bewertung des Nährstoff- und Anbaumanagements 3.3 Betriebsvergleich der schlagbezogenen Bewertung 4 Diskussion und Schlussfolgerungen 4.1 Methodik 4.2 Nährstoff- und Humusmanagement der Betriebe 4.3 Fruchtfolgegestaltung der Betriebe 5 Zusammenfassung 6 Literaturverzeichnis