Niobium oxides and niobates physical properties

Niobium oxides have been pointed as an alternative to tantalum in the production of solid electrolytic capacitors, with advantages regarding the dielectric constant, density and price. In this work, it is intended to create a new family of niobium oxides based capacitors, adapting the technology and production line currently used with tantalum. Despite the known potentialities of niobium oxides, and many types of niobates, in several technological applications, the understanding of these oxide systems is still noticeably insufficient. Hence, a careful bibliographic review is shown, which evidences the complexity of these materials, the difficulty in identifying of their different phases and polymorphs, as well as in the interpretation of their properties. In this context, several fundamental studies on niobium oxides are presented, namely structural, microstructural, optical and electrical characterizations, which allow not only to contribute in an important way for the general knowledge of the physical properties of these materials, but also to advance to a sustained development of the niobium oxides based solid electrolytic capacitors. Several processing parameters were studied, clearing the way towards the creation of a prototype. It was also decided to perform a preliminary study on the synthesis and characterization of other oxide systems based in niobium, namely rare-earth orthoniobates (RENbO4), which interest has been related to their optical properties and protonic conductivity. Hence, single and polycrystalline samples of RENbO4 were synthesized and characterized structural, optical and electrically, leaving open an interesting future work.

Pesca comercial de tubarões e raias em Portugal

O objectivo do trabalho foi analisar os desembarques de tubarões e raias em Portugal no período 1986 – 2006. Esta análise revelou que os desembarques totalizaram 108.671 ton no referido período de 21 anos. Anualmente foram desembarcados, em média, cerca de 5.175 ton, com exemplares representantes de 8 ordens, 14 famílias e 44 espécies. Genericamente, os desembarques anuais destes grupos animais têm diminuído ao longo do tempo, apesar de se verificar um aumento no preço por quilo. O grupo mais desembarcado foi o das Raias (Raja sp.), responsável por 35.614 ton das capturas, ou seja, 33% do total. A este grupo seguiram-se as Patas-roxas (Scyliorhinus sp.), os tubarões Carocho (Centroscymnus coelolepis), Lixa (Centrophorus squamosus) e Barroso (Centrophorus granulosus), correspondendo a 12%, 12%, 10% e 9% dos desembarques, respectivamente. Na ausência de dados consistentes de CPUE, a comparação dos padrões de desembarques e preço foi utilizada como indicador da evolução do recurso, tendo em conta as várias espécies de elasmobrânquios. Centrophorus granulosus, Cações (Mustelus sp.), Tremelgas (Torpedo sp.), Marrachos (Carcharhinus sp.) e Tubarões-anjo (Squatina sp.) indiciaram sinais de possível sobrexploração, situação esta a merecer a atenção de programas futuros de I & DT. A evolução do esforço de pesca ao longo do tempo, ponderada sob a forma de “número de embarcações de pesca”, registou uma diminuição acentuada, embora substancialmente menor que a diminuição registada nos desembarques das espécies referidas. É pouco provável, por isso, que a diminuição dos desembarques seja fruto, unicamente, da diminuição na frota de pesca, mas sim de uma menor rendibilidade da actividade. Paralelamente, os aumentos de preço observados suplantaram largamente a taxa de inflação média, pelo que o aumento dos primeiros não é justificado inteiramente pelo aumento do segundo. Estes resultados tiveram eco nas análises de componentes principais (MAFA e DFA) conduzidas para as espécies, que validaram padrões de diminuição particularmente elevados nas espécies em que métodos anteriores já haviam apontado sinais de sobrepesca. Os resultados obtidos apontam para o facto de que algumas espécies parecem estar fora dos limites biológicos de segurança e, como tal, há necessidade de serem tomadas medidas de gestão eficazes.

Polyhedral study of mixed integer sets arising from inventory problems

“Branch-and-cut” algorithm is one of the most efficient exact approaches to solve mixed integer programs. This algorithm combines the advantages of a pure branch-and-bound approach and cutting planes scheme. Branch-and-cut algorithm computes the linear programming relaxation of the problem at each node of the search tree which is improved by the use of cuts, i.e. by the inclusion of valid inequalities. It should be taken into account that selection of strongest cuts is crucial for their effective use in branch-and-cut algorithm. In this thesis, we focus on the derivation and use of cutting planes to solve general mixed integer problems, and in particular inventory problems combined with other problems such as distribution, supplier selection, vehicle routing, etc. In order to achieve this goal, we first consider substructures (relaxations) of such problems which are obtained by the coherent loss of information. The polyhedral structure of those simpler mixed integer sets is studied to derive strong valid inequalities. Finally those strong inequalities are included in the cutting plane algorithms to solve the general mixed integer problems. We study three mixed integer sets in this dissertation. The first two mixed integer sets arise as a subproblem of the lot-sizing with supplier selection, the network design and the vendor-managed inventory routing problems. These sets are variants of the well-known single node fixed-charge network set where a binary or integer variable is associated with the node. The third set occurs as a subproblem of mixed integer sets where incompatibility between binary variables is considered. We generate families of valid inequalities for those sets, identify classes of facet-defining inequalities, and discuss the separation problems associated with the inequalities. Then cutting plane frameworks are implemented to solve some mixed integer programs. Preliminary computational experiments are presented in this direction.

Maxwell perturbations on asymptotically Anti-de-Sitter spacetimes: generic boundary conditions and a new branch of quasinormal modes

Perturbations of asymptotically Anti-de-Sitter (AdS) spacetimes are often considered by imposing field vanishing boundary conditions (BCs) at the AdS boundary. Such BCs, of Dirichlet-type, imply a vanishing energy flux at the boundary, but the converse is, generically, not true. Regarding AdS as a gravitational box, we consider vanishing energy flux (VEF) BCs as a more fundamental physical requirement and we show that these BCs can lead to a new branch of modes. As a concrete example, we consider Maxwell perturbations on Kerr-AdS black holes in the Teukolsky formalism, but our formulation applies also for other spin fields. Imposing VEF BCs, we find a set of two Robin BCs, even for Schwarzschild-AdS black holes. The Robin BCs on the Teukolsky variables can be used to study quasinormal modes, superradiant instabilities and vector clouds. As a first application, we consider here the quasinormal modes of Schwarzschild-AdS black holes. We find that one of the Robin BCs yields the quasinormal spectrum reported in the literature, while the other one unveils a new branch for the quasinormal spectrum.