The Li-ion battery has, from its commercialisation in the early 1990's, now become the most widely used power source for portable low-power electronics: laptops, cellular phones and MP3-players are a few examples. To further develop existing and find new electrode materials for these batteries, it is vital to understand the lithium insertion/extraction mechanisms taking place during battery operation. In this thesis, single-crystal X-ray diffraction has been used to investigate lithium insertion/extraction mechanisms in the cathode materials V6O13 and LiFePO4. A novel single-crystal electrochemical cell for in situ single-crystal X-ray diffraction studies has also been developed. The phases Li3V6O13 and Li3+xV6O13, 0<x<1, both contain a disordered lithium ion. A low-temperature study of Li3.24V6O13 (at 95 K) shows that this disorder is static rather than dynamic; the lithium ion is equally distributed above and below an inversion centre in the centrosymmetric V6O13 host structure. Short-range-ordering between this disordered lithium ion and the lithium ion inserted into Li3V6O13 gives rise to solid-solution behaviour not observed earlier in the LixV6O13 system. A model is proposed for the lithium insertion mechanism up to the end-member composition Li6V6O13. Lithium has also been electrochemically extracted from LiFePO4 single crystals. On the basis of the shapes of the LiFePO4 and FePO4 reflections, it is concluded that FePO4 is formed at the crystal surface and that the LiFePO4/FePO4 interface propagates into the crystal. This is in agreement with an earlier proposed model for lithium extraction from LiFePO4 particles. Initial experiments with the newly developed single-crystal electrochemical cell for in situ single-crystal X-ray diffraction demonstrate that it is possible to insert lithium into a single crystal of V6O13 and then collect single-crystal X-ray diffraction data. The method needs further development but promises to become a powerful tool for studying lithium insertion/extraction mechanisms.

In der vorliegenden Arbeit wird die Einkristallzüchtung nach dem Czochralskiverfahren von GdCa4O(BO3)3 (GdCOB) beschrieben. Aus insgesamt 18 Zuchtversuchen, bei denen auch die Ziehgeschwindigkeit zwischen 1 und 3mm/h variiert wurde, wurden erfolgreich nahezu perfekte Einkristalle gewonnen. In einigen Kristallen traten jedoch auch Risse oder Einschlüsse auf. Diese enthielten neben Iridium vom Tiegelmaterial auch andere Phasen des Gd2O3–B2O3–CaO-Systems, sowie P und Yb, deren Herkunft unklar ist. Als Hauptziehrichtung wurde die kristallographische b-Achse gewählt, ergänzt durch einige Experimente in der c-Richtung. In den drei kristallographischen Hauptrichtungen wurden die thermischen Ausdehnungskoeffizienten von GdCOB bestimmt. Diese können in zwei nahezu lineare Bereiche unterteilt werden: von Zimmertemperatur bis etwa 850° C und von 850 bis 1200° C, wobei die Koeffizienten im Hochtemperaturbereich deutlich höher sind (unter 850° C: alpha_a=11.1, alpha_b=8.6, alpha_c=13.3 10^-6/K, oberhalb 850° C: alpha_a=14.1, alpha_b=11.7, alpha_c=17.8 10^-6/K). Daraus ergibt sich, dass ein Phasenübergang höherer Ordnung vorliegen muss. Als mögliche Ursache wurde mittels HT-Raman Spektroskopie ein Ordnungs-Unordnungs-Übergang identifiziert, während dessen die BO3-Gruppen in der Struktur leicht rotieren. Weitere Untersuchungen mittels thermodynamischer Methoden führten zu schwachen, aber eindeutigen Signalen, die diesem Effekt ebenfalls zuzuordnen sind. Obwohl das Material ein vielversprechender Kandidat für piezoelektrische Anwendungen im Hochtemperaturbereich ist, wurde dieser Effekt bisher unzureichend beschrieben. Dieses Verhalten, kombiniert mit den anisotropen thermischen Ausdehnungskoeffizienten, könnte eine der Ursachen für das Vorkommen von Rissen in den Kristallen während der Synthese darstellen. Spektroskopische Untersuchungen ergaben einen großen Transparenzbereich von 340 bis 2500nm (29 400–4000 cm^-1), was für optische Anwendungen von großer Bedeutung ist. / In a series of 18 growth experiments, GdCa4O(BO3)3 (GdCOB) single crystals were successfully grown by the Czochralski method. They have a well-ordered structure, as revealed by single crystal structure analysis. Although the main growth direction was along the crystallographic b-axis, some experiments were conducted using the cdirection. Pulling velocities were varied between 1 and 3mm/h. Except for a few crystals with cracks or elongated "silk-like" inclusions consisting of multiphase impurities, most of the obtained crystals are of good quality. Those inclusions contain iridium, deriving from the crucible, P and Yb with unclear source, and other phases from the system Gd2O3–B2O3–CaO. Thermal expansion coefficients of GdCOB were determined in the directions of the crystallographic axes and found to be approximately linear in two temperature ranges: from 25° C to around 850° C, and from 850 to 1200° C, with the latter range showing significantly higher coefficients (below 850° C: alpha_a=11.1, alpha_b=8.6, alpha_c=13.3 10^-6/K, and above 850° C: alpha_a=14.1, alpha_b=11.7, alpha_c=17.8 x10^-6/K). This sudden increase of thermal expansion coefficients indicates a phase transition of higher order. An order-disorder transition in form of the rotation of BO3-triangles in the structure was made tentatively responsible for this transition, as revealed by HT-Raman spectroscopy. This transition was also detected by DSC-methods but appeared to result in very weak effects. Although the material is thought to represent a promising candidate for high temperature piezoelectric applications (noncentrosymmetric space group Cm), this effect of change in specification has not been described and it is unknown whether it has influence on the piezoelectric properties. Furthermore, this characteristic behaviour in combination with anisotropic coefficients may be the reason for the development of cracks during cooling of crystals, making the growth difficult. Spectroscopic investigation revealed a wide transparency range from 340 to 2500nm (29 400–4000 cm^-1) of GdCOB, which is a very important property for optical applications.

Design and analysis of polysilicon and single crystal silicon gyroscopes have been carried out. Variations in suspension design have been explored. Designs that utilize in-plane and out-of-plane sensing are studied. Damping plays an important role in determining the sense response. Reduction in damping directly affects sensor performance. The various damping mechanisms that are prevalent in gyroscopes are studied. Perforations on the proof mass are observed to significantly reduce the damping in the device when operated in air. The effects of perforation geometry and density have been analyzed. The analysis results show that there is a two orders of magnitude reduction in damping of thick gyroscope structures with optimized perforation design. Equivalent circuit lumped parameter models have been developed to analyze gyroscope performance. The simulation results of these models have been compared with results obtained from SABER, a MEMS specific system level design tool from Coventor-ware. The lumped parameter models are observed to produce faster simulation results with an accuracy comparable to that of Coventorware Three gyroscopes specific to the PolyMUMPS fabrication process have been designed and their performance analyzed. Two of the designs sense motion out-of-plane and the other senses motion in-plane. Results of the simulation show that for a given damping, the gyro design with in-plane modes gives a resolution of 4◦/s. The out-of-plane gyroscopes have two variations in suspension. The hammock suspension resolves a rate of 25◦/s in a 200 Hz bandwidth while the design with folded beam suspension resolves a rate of 2◦/s in a 12 Hz bandwidth. A single crystal silicon in-plane gyroscope has been designed with vertical electrodes to sense Coriolis motion. This design gives an order of magnitude higher capacitance change for a given rotation in comparison to conventional comb-finger design. The effects of process induced residual stress on the characteristic frequencies of the polysilicon gyroscopes are also studied. The in-plane gyroscope is found to be robust to stress variations. Analysis results indicate that the tuning fork gyroscope with the hammock suspension is the most susceptible to compressive residual stress, with a significant drop in sensitivity at high stress values.

This experimental work focusses on the magnetic thermal conductivity, κ_mag, of the one-dimensional two-leg spin ladder system Sr_14Cu_24O_41 and the spin chain system SrCuO_2. These two S = 1/2 antiferromagnetic Heisenberg compounds possess enormous magnetic contributions to the heat transport which in some cases exceed the phonon contributions by more than one order of magnitude. Despite of intense ongoing experimental and theoretical investigations, the underlying mechanism of the magnetic heat transport remains unclear. The study of κ_mag aims a better understanding of the basic physics which determine mobility, scattering and dissipation of the dispersing magnetic excitations. The most important tool used in this study is to selectively influence the structure and the electronic and magnetic properties of the compounds through doping. For this purpose single crystalline samples were produced using the Traveling Solvent Floating Zone technique, a crucible-free technology, which allows the growth of centimeter sized single crystals of high quality. In particular, the successful growth of large quantities of the hole-free ladders La_4Sr_10Cu_24O_41 allowed the realization of inelastic neutron scattering and, for the first time, the acquisition of the complete magnetic excitation spectrum of the spin ladder, composed not only by the triplon band, but also by the two-triplon continuum, permitting an accurate determination of the coupling constants in this system. The importance of the cyclic-exchange, previously unclear, was asserted. In order to study the scattering mechanisms of the magnetic excitations (triplons) off static defects in the two-leg ladder Sr_14Cu_24O_41, this compound was doped with tiny amounts of Zn. Occupying the Cu site in the ladders, the Zn plays the role of a non-magnetic defect, imposing an upper limit to the mean free path of the triplons. The thermal conductivity of Sr_14Cu_(14−z)Zn_zO_41, with z = 0, 0.125, 0.25, 0.5 and 0.75, shows a strong decrease of both the phononic and magnetic contributions with increasing z value. In particular, the decrease of the magnetic part indicates an increased scattering of the triplons off Zn defects. The analysis of κ_mag, using a kinetic model, allows the extraction of the triplon mean free path l_mag. This quantity was successfully correlated to the mean Zn-Zn distance along the ladders, confirming the validity of the employed kinetic model and corroborating results of previous works. In SrCuO_2, the magnetic contribution to the thermal conductivity appears as a hump-like anomaly on the high-T back of the low-T phonon peak. In order to better separate the magnetic contribution from the phononic background, small amounts of Sr were substituted by the smaller and lighter Ca, leading, on the one hand, to an increased scattering of the phonons and consequently to a suppression of the phononic thermal conductivity. On the other hand, since Ca is isovalent to Sr, no significant changes of the magnetic properties of the system are expected: a magnetic peak belonging to κ_mag should appear. Measurements of the thermal conductivity of Sr_(1−x)Ca_xCuO_2 for x = 0, 0.0125, 0.025, 0.05 and 0.1 show indeed a systematic decrease of the phonon thermal conductivity with increasing x. However, against initial expectations, no magnetic peak appears. Instead, the magnetic thermal conductivity decreases at intermediate and low temperatures with increasing doping level, indicating a strong influence of the Ca dopant on the magnetic system. Surprisingly, no changes of κ_mag occur at higher temperatures, where κ_mag remains constant for all doping levels. To explain this intriguing temperature and doping dependence of κ_mag, three scenarios are proposed. One of the scenarios is based on the phenomenon of mutual spinon and phonon heat transport, the so called spin-phonon-drag mechanism. Another scenario assumes an effective scattering of spinons off Ca defects. In a third scenario, the appearance of a gap in the doped compounds is considered. The obvious effect of the Ca dopant on the magnetic thermal conductivity motivated a more detailed investigation of the doping dependence of electronic and magnetic properties in Sr_(1−x)Ca_xCuO_2. NMR data reveal the presence of a magnetic gap for the x = 0.1 compound. The doping dependent evolution of the specific heat at low-T is consistent with this result. Furthermore, susceptibility data may be explained within a segmentation of the spin chains, which in turn can be also related to the opening of a gap. These results strongly support that the reduction of κ_mag in the Ca doped compounds is related to a smaller number of magnetic excitations participating in the heat transport due to the presence of the gap. A possible reduction of the chain length, as suggested by the susceptibility data, is also consistent with the scenario of a reduced κ_mag due to an increased scattering of magnetic excitations. In spite of these partially consistent results, there are still no clear-cut explanations for the evolution of κ_mag upon doping. In particular, it cannot be completely ruled out that a fraction of the Ca dopant goes into the chains, a point which has to be urgently clarified in order to allow a correct interpretation of the data.

In the frame of this thesis different calix[4]resorcin- and calix[4]pyrogallolarene derivatives were used as platform for the synthesis of novel star polymers and dendritic structures. The objectives of this work can be portrayed under the following points: First: Synthesis and modification of calix[4]resorcin- and calix[4]pyrogallolarenes with a varying number and varying type of functional sites and their precise characterization by modern NMR techniques and single crystal X-ray diffraction. Second: Synthesis of well-defined star polymers and dendrimers with different number of arms and accordingly dendrons, based on calix[4]resorcin- and calix[4]pyrogallolarenes, via convenient polymerization and generation growth reactions and analysis of the obtained products by different methods (MALDI-TOF-MS, SEC-RI and SEC-MALLS, NMR).

Die Dissertation beschreibt Untersuchungen der intermetallischen Verbindungen TbxY1-xNi2B2C bzw. TbxEr1-xNi2B2C, Tb2PdSi3 sowie Dy2PdSi3, die sich auszeichnen durch physikalische Erscheinungen, die durch die Wechselwirkung der magnetischen Momente der Seltenerd (SE)-Ionen mit den Leitungselektronen hervorgerufen werden. Sie umfasst Beiträge zur Konstitution der Legierungssysteme, methodische Untersuchungen zur Einkristallzüchtung, zur Charakterisierung der Homogenität und Perfektion der Kristalle und zu physikalischen Eigenschaften (Supraleitung, Magnetismus). Die für das Erstarrungs- und Schmelzverhalten der intermetallischen Phasen relevanten quasi-binären Schnitte der Tb-(Y, Er)-Ni-B-C bzw. Tb(Dy)-Pd-Si-Phasendiagramme, die bisher noch nicht bekannt waren, konnten bestimmt werden. Damit wurden die Prozessparameter der Einkristallzüchtung durch tiegelfreies Zonenschmelzen optimiert. Die unterschiedlichen Erstarrungstypen, peritektische Erstarrung (SENi2B2C) bzw. kongruentes Erstarren (SE2PdSi3), wurden durch unterschiedliche Ziehgeschwindigkeiten bei der Einkristallzüchtung berücksichtigt. An den massiven Einkristallen wurden Homogenitätsuntersuchungen hinsichtlich Elementkonzentration und physikalischer Eigenschaften (Tc, Tn, RRR) als Funktion der Längskoordinate durchgeführt, die geringe Eigenschaftsunterschiede der einkristallinen Proben nachweisen. Aus der Zusammensetzungsänderung über die Kristalllänge konnte in Verbindung mit in-situ Messungen der Zonentemperatur ein einfaches Prozessmodell des Zonenschmelzens der untersuchten Verbindungen entwickelt werden. Die Korrelation von magnetischen und supraleitenden Eigenschaften der Borokarbidmischreihen werden primär vom Verhältnis der Seltenen Erden bestimmt aber auch durch die Konzentration der weiteren Elemente. An Einkristallen konnte eine Anisotropie des oberen kritischen Feldes der Supraleitung von TbxY1-xNi2B2C gezeigt werden, die durch die magnetischen Tb-Ionen bestimmt wird. Die Untersuchungen der Tb2PdSi3- und Dy2PdSi3-Einkristalle ergaben eine Anisotropie der magnetoelektrischen Eigenschaften. / In this thesis investigations of the intermetallic compounds TbxY1-xNi2B2C, TbxEr1-xNi2B2C, Tb2PdSi3 and Dy2PdSi3 are presented. These compounds exhibit interesting physical phenomena caused by the interaction of the rare earth (RE) magnetic moments on the conduction electrons. Moreover, contributions on the constitution of the alloy systems, basic investigations of crystal growth process, homogeneity, microstructure and physical properties (superconductivity, magnetism) of the crystals are given. The quasi-binary sections of the Tb-(Y, Er)-Ni-B-C and Tb(Dy)-Pd-Si-phase diagrams which are relevant for the crystallisation of the different intermetallic phases have been determined for the first time. They were utilised for optimisation of the process parameters of single crystal growth by floating-zone melting. Because of the different solidification modes of RENi2B2C (peritectic solidification) and RE2PdSi3 (congruent solidification) different growth velocities have been employed in crystal growth. The composition and the physical properties (Tc, Tn, RRR) have been investigated as function of the crystal axis co-ordinate. As these properties show only a slight shift over the crystal length samples are representative for the whole crystal. From the slight composition shift over the crystal length a process model of the floating zone growth has been developed utilising the in-situ measurements of the zone-temperature. The correlation of magnetic and superconducting properties of the borocarbide solid solution compounds are mainly governed by the RE-fraction but they are also influenced by the concentration of the other elements. For TbxY1-xNi2B2C single crystals an anisotropic upper critical field of superconductivity has been detected which is induced by the magnetic Tb-ions. The investigations of Tb2PdSi3 and Dy2PdSi3 revealed an anisotropy of the magnetoresistive properties.

Die Strukturen der Erdalkalimetall-Subnitride (EA2N) von Calcium, Strontium und Barium ermöglichen mit ihrem schichtartigen Aufbau aus EA6N-Oktaedern Intercalationsreaktionen. Die Redox-Intercalation von Stickstoff in Sr2N wurde an Einkristallen untersucht. Nur durch eine drastische Erhöhung des Reaktionsgasdruckes im Vergleich zu den Reaktionen an mikrokristallinen Proben wurde die Intercalation der Diazenidionen in die Kristalle zu Sr4N3 und SrN möglich. Für eine analoge Intercalation von Wasserstoff in Sr2N konnten die Reaktionsbedingungen dahingehend optimiert werden, dass erstmals phasenreines Strontiumnitridhydrid (Sr2N)H bzw. deuterid (Sr2N)D erhalten wurde. Anhand von Intercalationsreaktionen mit Sr2N Kristallen konnte gezeigt werden, dass der Intercalationsprozess, erkennbar an der deutlichen Farbänderung von schwarz nach bersteinfarben, von außen nach innen fortschreitet. Als Methode zur räumlich aufgelösten Analyse wurde die Laserablation, in Kombination mit einem ICP - Massenspektrometer (LA-ICP-MS) verwendet. In der Literatur beschriebene Quantifizierungsstrategien wurden auf die Anwendbarkeit für die gegebene Fragestellung untersucht. Mit der ortsaufgelösten Analyse von Einkristallen konnte gezeigt werden, dass die Intercalation von Stickstoff in die Kristalle kontinuierlich von den Kanten zur Kristallmitte fortschreitet.

The crystal structures of the LnAgAs2 and LnAuAs2 compounds were reinvestigated by single-crystal diffraction experiments. Contrary to the respective copper compounds, no stuffed variant of the HfCuSi2 type was found. For CeAuAs2, GdAuAs2 and TbAuAs2, a slight under-occupation of the gold position was determined, the other compounds crystallize in a 1:1:2 ratio. Additionally, LaCuAs2 was synthesized for the first time in a 1:1:2 ratio. Due to the fact that imaging plate diffraction systems were used instead of four-circle diffractometers, satellite reflections could be observed for most of the LnCuAs2 compounds (Ln = Ce, Nd, Sm, Gd, Tb, Ho), CeAuAs2, GdAuAs2 and TbAuAs2. Structure models of GdCuAs2, CeAuAs2, GdAuAs2 and TbAuAs2 were developed, rod and layer groups of the respective structural motives were determined and approximants were presented. / Die Kristallstrukturen der LnAgAs2 und LnAuAs2 Verbindungen wurden mittels Einkristallbeugungsexperimenten neu untersucht. Im Gegensatz zu den jeweiligen Kupferverbindungen wurde keine gefüllte Variante des HfCuSi2-Typs gefunden. Im Falle von CeAuAs2, GdAuAs2 und TbAuAs2 wurde eine geringfügige Unterbesetzung der Gold-Position bestimmt, die anderen Verbindungen kristallisieren in einem 1:1:2-Verhältnis. Weiterhin wurde erstmals LaCuAs2 in diesem Verhältnis synthetisiert. Aufgrund der Verwendung von Bildplattensystemen an Stelle von Vierkreisdiffraktometern konnten Satellitenreflexe für den Großteil der LnCuAs2-Verbindungen (Ln = Ce, Nd, Sm, Gd, Tb, Ho), CeAuAs2, GdAuAs2 and TbAuAs2 beobachtet werden. Strukturmodelle von GdCuAs2, CeAuAs2, GdAuAs2 und TbAuAs2 wurden entwickelt, Stab- und Ebenengruppen der einzelnen Strukturmotive wurden bestimmt und Approximanten präsentiert.

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Die vorliegende Arbeit fokussiert auf die Synthese von organisch/anorganischen Hybridmaterialien mit multifunktionalen Eigenschaften unter ausschliesslicher Darstellung dieser Materialen mit Hilfe des „wet chemistry“ Zugangs. Ausgehend von der Darstellung und Charakterisierung von isomorphen bzw. isostrukturellen Hybridmaterialien der allgemeinen Zusammensetzung catena-{[Me3NH][MCl3·2H2O]}n (Mtac) (MII = Mn, Co, Ni, Cu, tac = [Me3NH]Cl3·2H2O]) speziell mittels IR und UV/vis Spektroskopie ist beschrieben, wie sich aus diesen entsprechende bi-, tri-, und auch tetra-heterometallische Koordinationspolymere der allgemeinen Zusammenseztung {MxM´ytac}n, {MxM´yM´´ztac}n, {MxM´yM´´zM´´´ttac}n (MII = M ≠ M´≠ M´´≠ M´´´≠ M´´´´ und x, y, z, t als prozentualer Metallgehalt) herstellen lassen und welche limitierende Faktoren zu berücksichtigen sind. Leifähigkeitsmessungen an Einkristallen ausgewählter Koordinationspolymere werden vorgestellt. Zusätzlich werden die durch Rekristallisation von Nitac erhaltenen zwei verschiedenen Koordinationspolymere der Formel {[Me3NH]3{NiCl4}{NiCl3}}n und {[(Me3NH]{NiCl3}}n in Bezug auf ihre ungewöhnlichen strukturellen und magnetischen Eigenschaften vorgestellt und beschrieben. Die durch Austausch von [Me3NH]+ Kationen gegen [Et3NH]+ bzw. protonierten aromatischen N-haltigen Kationen wie [2,2’-bipyH2]2+, [4,4’-bipyH2]2+ and [1,10-phenH2]2+ erhaltenen Reaktionsprodukte aus Umsetzungen mit Hilfe des “wet chemistry” Zugangs werden im Hinblick auf ihre Festkörperstrukturen beschrieben. Die erfolgreiche Darstellung einer neuen Familie von perylentetracarboxylato-basierenden Komplexen, die teilweise hervorragende Löslichkeiten besitzen, wird beschrieben sowie die strukturellen, magnetischen und lumineszierenden Eigenschaften ausgewählter Vetreter. / The thesis presented here is focused on the synthesis of organic/ inorganic hybrid materials with multifunctional properties by means of the “wet chemistry” approach. The synthesis and characterization of hybrid materials with the general composition catena-{[Me3NH][MCl3·2H2O]}n (Mtac) (MII = Mn, Co, Ni, Cu, tac = [Me3NH]Cl3·2H2O]) is described. Due to their isomorphic and/ or isostructural character, bi-, tri-, and even tetra-heterometallic chains of the general formula {MxM´ytac}n, {MxM´yM´´ztac}n, {MxM´yM´´zM´´´ttac}n (MII = M ≠ M´≠ M´´≠ M´´´≠ M´´´´ and x, y, z, t is the percentage of each metal content) were synthesized and characterized. Limitating factors of the synthesis of these types of heterometallic coordination polymers are discussed. Furthermore, the conductive properties of selected representatives were investigated. Additionally, the products obtained from recrystallization of Nitac, two different novel 1D coordination polymers of the formula {[Me3NH]3{NiCl4}{NiCl3}}n and {[(Me3NH]{NiCl3}}n are described with respect to their structural and magnetic properties. Efforts to replace the [Me3NH]+ cations of Mtac compounds by [Et3NH]+ cations as well as by protonated aromatic amines as [2,2’-bipyH2]2+, [4,4’-bipyH2]2+ and [1,10-phenH2]2+ are reported next with respect to the structural exploration of obtained hybrid materials by the “wet chemistry” approach. Finally, the synthesis of a new family of perylene tetracarboxylate (ptc) based soluble complexes is reported. Structural, magnetic and luminescence properties of selected representatives of this new series of soluble ptc derivatives are reported.