’African Bamboo PLC’ has the vision to become the first and the leading bamboo-based floorboard producer in Africa with export markets in Europe and America. African alpine bamboo (Yushania alpina), common in the highlands of Ethiopia, was used to develop woven strand board (WSB) products. Research on thermal modification was part of the product development. Samples were mainly collected in Tetechia (6°33‘ 34‘‘ N 38°32‘25‘‘ W, 2,650-2,700 m a.s.l.), located in the Sidama region. Three culms each of two, three, four and five years of age were harvested. Samples were taken from the middle of each internode to determine the moisture content and density. Samples used to assess the effects of thermal modification were cut next to them. Further test specimens from different areas and other species such as the lowland bamboo (Oxytenanthera abyssinica) were also investigated. The thermal treatment was applied in a kiln with steam as an inert blanket to reduce oxidative processes. Eight modifications were performed at temperatures of 160 °C, 180 °C, 200 °C and 220 °C, at durations of three or five hours each. Mass loss, sorption behaviour, impact resistance, resistance to indentation and contents of chemical components were analysed for the modified and unmodified samples. Yushania alpina is a thin-walled bamboo with a maximum diameter of 6 cm, moisture content of up to 150 % and densities of between 0.5 g/cm² and 0.8 g/cm². Moisture content, diameter and wall thickness decreased from the bottom to the top of the culms, whereas density increased. Two year old bamboo had the lowest and three year the highest density. The mass loss followed an exponential trend, with about 2 % loss at 160 °C and 16 % at 220 °C. This mainly reflected the degradation of hemicellulose, which was fully removed at 220 °C. Extractive contents, at less than 5 %, fluctuated. Lignin amounted to 30 % and increased appreciably. Cellulose reached contents of about 45 % and decreased slightly at high temperatures. The chemical change, which was based more on the temperature than on the duration of treatment, influenced the sorption behaviour and mechanical properties most of all. The equilibrium moisture content was reduced by between 10 % to 40 %, depending on the climate and modification temperature chosen. This reduction stabilised between temperatures of 200 °C and 220 °C. The impact resistance of untreated bamboo was 3.8 J/cm², compared to only 1.4 J/cm² for modified samples. Resistance also differed between samples from the outer and inner part of the culm in the transverse section. The resistance to indentation declined also. Unmodified samples had 47 N/mm², compared to only 20 N/mm² for strongly modified samples. The results of the analysis and the experience gained indicate that temperatures between 180 °C and 200 °C, held for three hours, lead to the best results for woven strand board production using Ethiopian highland bamboo. / ’African Bamboo PLC’ setzt sich zum Ziel, als erstes Unternehmen Holzwerkstoffe aus Bambus nach Europa und Amerika zu exportieren. Afrikanischer Hochgebirgsbambus (Yushania alpina), welcher vor allem im Hochland von Äthiopien vorkommt, wurde dazu verwendet ”woven strand boards” (WSB) zu entwickeln. Untersuchungen zur thermischen Modifizierung waren dabei Bestandteil der Produktentwicklung. Die dafür notwendigen Bambusproben wurden hauptsächlich in Tetechia (6°33‘34‘‘ N 38°32‘25‘‘ W, 2650-2700 m ü. NN), einem Dorf in Sidama, entnommen. Es wurden dazu je drei Bambushalme der Altersklassen zwei, drei, vier und fünf Jahre geerntet. Proben für die Bestimmung von Holzfeuchte und Dichte wurden in der Mitte jedes Internodiums entnommen. Diese spielten als Referenzprobe eine große Rolle. Neben den Referenzprobekörpern wurden die jeweiligen Stücke für die thermische Behandlung heraus gesägt, wobei dies nach einer bestimmten Systematik erfolgte. Neben den Proben aus Tetechia wurden für die Untersuchungen zudem Proben aus anderen Gebieten und von einer anderen Art, dem Tieflandbambus (Oxytenanthera abyssinica), hinzugefügt. Die thermische Modifizierung erfolgte unter Wasserdampf, welcher oxidative Prozesse verhinderte. Insgesamt erfolgten acht Modifizierungen bei Temperaturen von 160 °C, 180 °C, 200 °C und 220 °C und einer jeweiligen Haltezeit von drei oder fünf Stunden. In Anbetracht der unbehandelten und behandelten Proben wurden der Masseverlust, die Bruchschlagarbeit, der Eindruckswiderstand und die chemische Zusammensetzung analysiert. Yushania alpina ist ein dünnwandiger Bambus mit Durchmessern bis zu 6 cm, Holzfeuchten bis 150 % und Dichten zwischen 0,5 g/cm² und 0,8 g/cm². Holzfeuchte, Durchmesser und Wandstärke verringerten sich mit der Halmhöhe, wobei die Dichte hingegen anstieg. Zweijähriger Bambus hatte die geringsten und dreijähriger Bambus die höchsten Dichten. Der Masseverlust folgte einem expontiellem Verlauf mit Werten von 2 % bei 160 °C und 16 % bei 220 °C. Er widerspiegelte den Abbau der Hemicellulose, welche bei 220 °C schon nicht mehr vorhanden war. Exktraktgehalte fluktuierten mit Werten unter 5 %. Der Ligningehalt lag bei ungefähr 30 % und stieg merklich an. Der Cellulosegehalt erreichte Werte von etwa 45 %, wobei die Cellulose bei höheren Temperaturen leicht abgebaut wurde. Die chemischen Veränderungen, welche maßgeblich von der angewandten Temperatur statt der Behandlungsdauer beeinflusst wurden, wirkten sich auf das Sorptionsverhalten und mechanische Eigenschaften aus. Je nach ausgesetztem Klima und erfolgter Modifikation wurde die Ausgleichsfeuchte der Proben um 10 % bis 40 % reduziert. Die Abnahme der Ausgleichsfeuchte stabilisierte sich im Temperaturbereich von 200 °C bis 220 °C. Die Bruchschlagarbeit des unbehandelten Bambus betrug 3,8 J/cm², die des behandelten nur 1,4 J/cm². Die Bruchschlagarbeit variierte unabhängig von der Modifikation zwischen dem inneren und äußeren Abschnittes innerhalb des Halmquerschnitts. Der Eindruckswiderstand nahm mit der thermischen Behandlung ebenfalls ab. Unbehandelte Proben hatten 47 N/mm², während die modifizierten Proben nur noch 20 N/mm² aufwiesen. Anhand der Ergebnisse und erworbenen Erfahrungen lies sich schlussfolgern, dass Temperaturen zwischen 180 °C und 200 °C bei einer Haltezeit von drei Stunden für die thermische Modifizierung von Äthiopischem Hochlandbambus in Bezug auf die Entwicklung von ”woven strand boards” empfehlenswert waren.

The European legislation prohibits the use of lead containing solders in Europe. However, lead free solders have a higher melting point (typical 20%) and their mechanical characteristics are worse. Additional problems are aging and adhesion of the solder on the electronic circuits. Thus, research activities must focus on the optimization of the properties of Sn-Ag-Cu based lead free solders chosen by the industry. Two main objectives are treated in this work. In the center of the first one is the study of curious hysteresis effects of metallic cadmium-antimony alloys after thermal cycles by measuring electronic transport phenomena (thermoelectric power and electrical resistivity). The second objective, within the framework of “cotutelle” between the universities of Metz and of Chemnitz and supported by COST531, is to study more specifically lead free solders. A welding must well conduct electricity and well conduct and dissipate heat. In Metz, we determined the electrical conductivity, the thermoelectric power and the thermal conductivity of various lead free solders (Sn-Ag-Cu, Sn-Cu, Sn-Ag, Sn-Sb) as well in the liquid as well in the solid state. The results have been compared to classical lead-tin (Pb-Sn) solders. In Chemnitz we measured the surface tension, the interfacial tension and the density of lead free solders. We also measured the viscosity of these solders without and with additives, in particular nickel. These properties were related to the industrial problems of wettability and spreadability. Lastly, we solidified alloys under various conditions. We observed undercooling. We developed a technique of mixture of nanocristalline powder with lead free solders "to sow" the liquid bath in order to obtain "different" solids which were examined using optical and electron microscopy. / Die europäische Gesetzgebung verbietet die Benutzung von Lötmitteln, die Blei enthalten. Bleilose Lote haben aber einen höheren Schmelzpunkt (typisch 20%) und ihre mechanischen Eigenschaften sind schlechter. Zusätzliche Probleme sind das Alterungsverhalten und das Haftvermögen des Lots an den Leiterbahnen. Daher müssen sich Forschungsaktivitäten auf die Optimierung der Eigenschaften von bleifreien Sn-Ag-Cu (SAC) Loten konzentrieren, die von der Industrie gewählt wurden. Zwei Hauptgebiete werden in dieser Arbeit bearbeitet. Im Zentrum des Ersten stehen seltsame Hysterese-Effekte von metallischen Kadmium- Antimon Legierungen bei thermischen Zyklen, wobei Transporteigenschaften wie die thermoelektrische Kraft und der elektrische Widerstand untersucht werden. Die zweite Aktivität, die in einer Kooperation der Universitäten Metz und Chemnitz (cotutelle) bearbeitet und die durch COST531 unterstützt wird, besteht in der detaillierten Erforschung des Lötprozesses ohne Blei. Eine Lötverbindung muß den Strom gut führen und die Wärme gut ableiten. In Metz haben wir die elektrische Leitfähigkeit, die thermoelektrische Kraft und das Wärmeleitvermögen bestimmt für verschiedene bleilose Lote (Sn-Ag-Cu, Sn-Cu, Sn-Ag, Sn-Sb), sowohl im flüssigen als auch festen Zustand. Die Ergebnisse wurden mit dem klassischen bleihaltigen Lötzinn (Sn-Pb) verglichen. In Chemnitz haben wir die Oberflächen- und Grenzflächenspannung und die Dichte bleifreier Lote gemessen. Ebenfalls wurde die Viskosität dieser Lote ohne und mit Zusätzen (insbesondere Nickel) gemessen. Diese Eigenschaften wurden in Beziehung gesetzt zu den industriellen Problemen der Benetzbarkeit und des Fließverhaltens. Schließlich haben wir Legierungen unter verschiedenen Bedingungen verfestigt. Wir haben Unterkühlung beobachtet. Wir haben eine Technik entwickelt, basierend auf einer Mischung von Lot mit Pulver. Durch "Einsäen" von Nanokristallen in das flüssige Bad erhielten wir "verschiedene" Festkörper, die mit optischer und Elektronenmikroskopie untersucht wurden.

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The general aim of my dissertation was to investigate the role of plant interactions in driving population dynamics. Both theoretical and empirical approaches were employed. All my studies were conducted on the basis of metabolic scaling theory (MST), because the complex, spatially and temporally varying structures and dynamics of ecological systems are considered to be largely consequences of biological metabolism. However, MST did not consider the important role of plant interactions and was found to be invalid in some environmental conditions. Integrating the effects of plant interactions and environmental conditions into MST may be essential for reconciling MST with observed variations in nature. Such integration will improve the development of theory, and will help us to understand the relationship between individual level process and system level dynamics. As a first step, I derived a general ontogenetic growth model for plants which is based on energy conservation and physiological processes of individual plant. Taking the mechanistic growth model as basis, I developed three individual-based models (IBMs) to investigate different topics related to plant population dynamics: 1. I investigated the role of different modes of competition in altering the prediction of MST on plant self-thinning trajectories. A spatially-explicit individual-based zone-of-influence (ZOI) model was developed to investigate the hypothesis that MST may be compatible with the observed variation in plant self-thinning trajectories if different modes of competition and different resource availabilities are considered. The simulation results supported my hypothesis that (i) symmetric competition (e.g. belowground competition) will lead to significantly shallower self-thinning trajectories than asymmetric competition as predicted by MST; and (ii) individual-level metabolic processes can predict population-level patterns when surviving plants are barely affected by local competition, which is more likely to be in the case of asymmetric competition. 2. Recent studies implied that not only plant interactions but also the plastic biomass allocation to roots or shoots of plants may affect mass-density relationship. To investigate the relative roles of competition and plastic biomass allocation in altering the mass-density relationship of plant population, a two-layer ZOI model was used which considers allometric biomass allocation to shoots or roots and represents both above- and belowground competition simultaneously via independent ZOIs. In addition, I also performed greenhouse experiment to evaluate the model predictions. Both theoretical model and experiment demonstrated that: plants are able to adjust their biomass allocation in response to environmental factors, and such adaptive behaviours of individual plants, however, can alter the relative importance of above- or belowground competition, thereby affecting plant mass-density relationships at the population level. Invalid predictions of MST are likely to occur where competition occurs belowground (symmetric) rather than aboveground (asymmetric). 3. I introduced the new concept of modes of facilitation, i.e. symmetric versus asymmetric facilitation, and developed an individual-based model to explore how the interplay between different modes of competition and facilitation changes spatial pattern formation in plant populations. The study shows that facilitation by itself can play an important role in promoting plant aggregation independent of other ecological factors (e.g. seed dispersal, recruitment, and environmental heterogeneity). In the last part of my study, I went from population level to community level and explored the possibility of combining MST and unified neutral theory of biodiversity (UNT). The analysis of extensive data confirms that most plant populations examined are nearly neutral in the sense of demographic trade-offs, which can mostly be explained by a simple allometric scaling rule based on MST. This demographic equivalence regarding birth-death trade-offs between different species and functional groups is consistent with the assumptions of neutral theory but allows functional differences between species. My initial study reconciles the debate about whether niche or neutral mechanisms structure natural communities: the real question should be when and why one of these factors dominates. A synthesis of existing theories will strengthen future ecology in theory and application. All the studies presented in my dissertation showed that the approaches of individual-based and pattern-oriented modelling are promising to achieve the synthesis.

In this thesis, quantum cluster methods are used to calculate electronic properties of correlated-electron systems. A special focus lies in the determination of the ground state properties of a 3/4 filled triangular lattice within the one-band Hubbard model. At this filling, the electronic density of states exhibits a so-called van Hove singularity and the Fermi surface becomes perfectly nested, causing an instability towards a variety of spin-density-wave (SDW) and superconducting states. While chiral d+id-wave superconductivity has been proposed as the ground state in the weak coupling limit, the situation towards strong interactions is unclear. Additionally, quantum cluster methods are used here to investigate the interplay of Coulomb interactions and symmetry-breaking mechanisms within the nematic phase of iron-pnictide superconductors. The transition from a tetragonal to an orthorhombic phase is accompanied by a significant change in electronic properties, while long-range magnetic order is not established yet. The driving force of this transition may not only be phonons but also magnetic or orbital fluctuations. The signatures of these scenarios are studied with quantum cluster methods to identify the most important effects. Here, cluster perturbation theory (CPT) and its variational extention, the variational cluster approach (VCA) are used to treat the respective systems on a level beyond mean-field theory. Short-range correlations are incorporated numerically exactly by exact diagonalization (ED). In the VCA, long-range interactions are included by variational optimization of a fictitious symmetry-breaking field based on a self-energy functional approach. Due to limitations of ED, cluster sizes are limited to a small number of degrees of freedom. For the 3/4 filled triangular lattice, the VCA is performed for different cluster symmetries. A strong symmetry dependence and finite-size effects make a comparison of the results from different clusters difficult. The ground state in the weak-coupling limit is superconducting with chiral d+id-wave symmetry, in accordance to previous renormalization group approaches. In the regime of strong interactions SDW states are preferred over superconductivity and a collinaer SDW state with nonuniform spin moments on a quadrupled unit cell has the lowest grand potential. At strong coupling, inclusion of short-range quantum fluctuations turns out to favor this collinear state over the chiral phase predicted by mean-field theory. At intermediate interactions, no robust conclusion can be drawn from the results. Symmetry-breaking mechanisms within the nematic phase of the iron-pnictides are studied using a three-band model for the iron planes on a 4-site cluster. CPT allows a local breaking of the symmetry within the cluster without imposing long-range magnetic order. This is a crucial step beyond mean-field approaches to the magnetically ordered state, where such a nematic phase cannot easily be investigated. Three mechanisms are included to break the fourfold lattice symmetry down to a twofold symmetry. The effects of anisotropic magnetic couplings are compared to an orbital ordering field and anisotropic hoppings. All three mechanisms lead to similar features in the spectral density. Since the anisotropy of the hopping parameters has to be very large to obtain similar results as observed in ARPES, a phonon-driven transition is unlikely.

In dieser interdisziplinär geprägten Arbeit wird zunächst eine Übersicht über kugelbasierte Modelle und die algorithmischen Ansätze zur Generierung zufälliger Kugelpackungen gegeben. Ein Algorithmus aus der Gruppe der Kollektiven-Umordnungs-Algorithmen -- der Force-Biased-Algorithmus -- wird ausführlich erläutert und untersucht. Dabei werden die für den Force-Biased-Algorithmus als essenziell geltenden Verschiebungsfunktionen bezüglich ihres Einflusses auf den erreichbaren Volumenanteil der Packungen untersucht. Nicht nur aus der Literatur bekannte, sondern auch neu entwickelte Verschiebungsfunktionen werden hierbei betrachtet. Daran anschließend werden Empfehlungen zur Auswahl geeigneter Verschiebungsfunktionen gegeben. Einige mit dem Force-Biased-Algorithmus generierte Kugelpackungen, zum Beispiel hochdichte monodisperse Packungen, lassen den Schluss zu, dass insbesondere strukturelle Umbildungsvorgänge an solchen Packungen sehr gut zu untersuchen sind. Aus diesem Grund besitzt das Modell der mit dem Force-Biased-Algorithmus dicht gepackten harten Kugeln große Bedeutung in der Materialwissenschaft, insbesondere in der Strukturforschung. In einem weiteren Kapitel werden wichtige Kenngrößen kugelbasierter Modelle erläutert, wie z. B. spezifische Oberfläche, Volumenanteil und die Kontaktverteilungsfunktionen. Für einige besonders anwendungsrelevante Kenngrößen (z. B. die spezifische Oberfläche) werden Näherungsformeln entwickelt, an Modellsystemen untersucht und mit bekannten Näherungen aus der Literatur verglichen. Zur Generierung und Analyse der Kugelpackungen wurde im Rahmen dieser Arbeit die Simulationssoftware „SpherePack“ entwickelt, deren Aufbau unter dem Aspekt des Softwareengineerings betrachtet wird. Die Anforderungen an dieses Simulationssystem sowie dessen Architektur werden hier beschrieben, einschließlich der Erläuterung einzelner Berechnungsmodule. An ausgewählten praxisnahen Beispielen aus der Materialwissenschaft kann die Vielfalt der Einsatzmöglichkeiten eines Simulationssystems zur Generierung und Analyse von zufälligen dicht gepackten Kugelsystemen gezeigt werden. Vor allem die hohe Aussagekraft der Untersuchungen in Bezug auf Materialeigenschaften unterstreicht die Bedeutung des Modells zufällig dicht gepackter harter Kugeln in der Materialforschung und verwandten Forschungsgebieten.

This thesis deals with solving the most serious internal defects in castings made of aluminum alloys which are cast in sand molds in Slévárna a modelárna Nové Ransko Ltd. The problem solving contains a description of the problematic castings with the investigation of the structure and phases and subsequent detailed analysis of their production. The Author of this thesis also examines the influence of Fe and Mn on a possible formation of the internal porosity with the help of test meltings with the evaluation of the internal structural change. The Author’s design solution is a close checking of chemical composition with regard to the ratio Mn / Fe present in the alloy, the purchase of Foundry Degassing Unit to reduce gassiness of melted metals and better control of gassiness with the help of the appropriate equipment for the density Dichte index.

The European legislation prohibits the use of lead containing solders in Europe. However, lead free solders have a higher melting point (typical 20%) and their mechanical characteristics are worse. Additional problems are aging and adhesion of the solder on the electronic circuits. Thus, research activities must focus on the optimization of the properties of Sn-Ag-Cu based lead free solders chosen by the industry. Two main objectives are treated in this work. In the center of the first one is the study of curious hysteresis effects of metallic cadmium-antimony alloys after thermal cycles by measuring electronic transport phenomena (thermoelectric power and electrical resistivity). The second objective, within the framework of “cotutelle” between the universities of Metz and of Chemnitz and supported by COST531, is to study more specifically lead free solders. A welding must well conduct electricity and well conduct and dissipate heat. In Metz, we determined the electrical conductivity, the thermoelectric power and the thermal conductivity of various lead free solders (Sn-Ag-Cu, Sn-Cu, Sn-Ag, Sn-Sb) as well in the liquid as well in the solid state. The results have been compared to classical lead-tin (Pb-Sn) solders. In Chemnitz we measured the surface tension, the interfacial tension and the density of lead free solders. We also measured the viscosity of these solders without and with additives, in particular nickel. These properties were related to the industrial problems of wettability and spreadability. Lastly, we solidified alloys under various conditions. We observed undercooling. We developed a technique of mixture of nanocristalline powder with lead free solders "to sow" the liquid bath in order to obtain "different" solids which were examined using optical and electron microscopy. / Die europäische Gesetzgebung verbietet die Benutzung von Lötmitteln, die Blei enthalten. Bleilose Lote haben aber einen höheren Schmelzpunkt (typisch 20%) und ihre mechanischen Eigenschaften sind schlechter. Zusätzliche Probleme sind das Alterungsverhalten und das Haftvermögen des Lots an den Leiterbahnen. Daher müssen sich Forschungsaktivitäten auf die Optimierung der Eigenschaften von bleifreien Sn-Ag-Cu (SAC) Loten konzentrieren, die von der Industrie gewählt wurden. Zwei Hauptgebiete werden in dieser Arbeit bearbeitet. Im Zentrum des Ersten stehen seltsame Hysterese-Effekte von metallischen Kadmium- Antimon Legierungen bei thermischen Zyklen, wobei Transporteigenschaften wie die thermoelektrische Kraft und der elektrische Widerstand untersucht werden. Die zweite Aktivität, die in einer Kooperation der Universitäten Metz und Chemnitz (cotutelle) bearbeitet und die durch COST531 unterstützt wird, besteht in der detaillierten Erforschung des Lötprozesses ohne Blei. Eine Lötverbindung muß den Strom gut führen und die Wärme gut ableiten. In Metz haben wir die elektrische Leitfähigkeit, die thermoelektrische Kraft und das Wärmeleitvermögen bestimmt für verschiedene bleilose Lote (Sn-Ag-Cu, Sn-Cu, Sn-Ag, Sn-Sb), sowohl im flüssigen als auch festen Zustand. Die Ergebnisse wurden mit dem klassischen bleihaltigen Lötzinn (Sn-Pb) verglichen. In Chemnitz haben wir die Oberflächen- und Grenzflächenspannung und die Dichte bleifreier Lote gemessen. Ebenfalls wurde die Viskosität dieser Lote ohne und mit Zusätzen (insbesondere Nickel) gemessen. Diese Eigenschaften wurden in Beziehung gesetzt zu den industriellen Problemen der Benetzbarkeit und des Fließverhaltens. Schließlich haben wir Legierungen unter verschiedenen Bedingungen verfestigt. Wir haben Unterkühlung beobachtet. Wir haben eine Technik entwickelt, basierend auf einer Mischung von Lot mit Pulver. Durch "Einsäen" von Nanokristallen in das flüssige Bad erhielten wir "verschiedene" Festkörper, die mit optischer und Elektronenmikroskopie untersucht wurden.

The physics of iron pnictides has been the subject of intense research for half a decade since the discovery of superconductivity in doped LaFeAsO in 2008. By now there exists a large number of different materials that are summarized under the term "pnictides'' with significant differences in their crystal structure, electronic properties, and their phase diagrams. This thesis is concerned with the investigation of the various phase transitions that are observed in the underdoped compounds of the pnictide subgroups RFeAsO, where R is a rare-earth element, and AFe_2As_2, where A is an alkaline-earth element. These compounds display two closely bound transitions from a tetragonal to an orthorhombic phase and from a paramagnetic to an antiferromagnetic metal. Both symmetry-broken phases are suppressed by doping or pressure and close to their disappearance superconductivity sets in. The superconducting state is stabilized until some optimal doping or pressure is reached and gets suppressed thereafter. The central goal of this thesis is to improve our understanding of the interplay between these three phases and to describe the various phase transitions. We start from an itinerant picture that explains the magnetism as a result of an excitonic instability and show how the other phases can be included into this picture. This approach is based on the the observation that the compounds we are interested in have a Fermi surface with multiple nested electron and hole pockets and that they have small to intermediate interaction strengths. The thesis starts with a study of the doping dependence of the antiferromagnetic phase transition in four different five-orbital models. We use the random-phase approximation to determine the transition temperature, the dominant ordering vector, and the contribution of the different orbitals to the ordering. This allows us to identify the more realistic models, which give results that are in good agreement with experimental observations. In addition to the frequently made assumption of orbital-independent interaction potentials we study the effect of a reduction of the interaction strengths that involve the d_{xy} orbital. We find that this tunes the system between two different nesting instabilities. A reduction of the interactions that involve the d_{xy} orbital also enhances the tendency towards incommensurate (IC) order. For a weak reduction this tendency is compensated by the presence of the orthorhombic phase. However, for a reduction of 30%, as it is suggested by constrained random-phase-approximation calculations, we always find large doping ranges, where a state with IC order has the highest transition temperature. We continue the investigation of the magnetic phase transition by studying the competition of different possible types of antiferromagnetic order that arises from the presence of two degenerate nesting instabilities with the ordering vectors (pi,0) and (0,pi). We derive a Ginzburg-Landau free energy from a microscopic two-band model and find that the presence of the experimentally observed stripe phase strongly depends on the number and size of the hole pockets in the system and on the doping. We show that within the picture of a purely magnetically driven nematic phase transition, which breaks the C_4 symmetry and induces the orthorhombic distortion, the nematic phase displays exactly the same dependence on the model parameters as the magnetic stripe phase. We propose that in addition to the purely magnetically driven nematic instability there is a ferro-orbital instability in the system that stabilizes the nematic transition and, thus, explains the experimentally observed robustness of the orthorhombic transition. We argue that including a ferro-orbital instability into the picture may also be necessary to reproduce the transition from simultaneous first-order transitions into an orthorhombic antiferromagnetic state to two separate second-order transitions, which is observed as a function of doping. Finally, a study of the superconducting phase transition inside the antiferromagnetic phase that is observed in some pnictide compounds is presented. We present an approach to calculate the fluctuation-mediated pairing interaction in the spin-density-wave phase of a multiband system, which is based on the random-phase approximation. This approach is applied to a minimal two-band model for the pnictides to study the effect of the various symmetry-allowed bare on-site interactions on the gap symmetry and structure. We find a competition between various even- and odd-parity states and over a limited parameter range a p_x-wave state is the dominant instability. The largest part of the parameter space is dominated by even parity states but the gap structure sensitively depends on the bare interactions. We propose that the experimentally observed transition from a nodeless to a nodal gap can be due to changes in the on-site interaction potentials.