La compréhension des aspects fondamentaux de la diffusion de l'oxygène dans les oxydes solides à des températures modérées, jusqu'à température ambiante, est un enjeu majeur pour le développement d'une variété de dispositifs technologiques dans un avenir proche. Cela concerne, par exemple, le développement de la prochaine génération des électrolytes et membranes solides d'oxygène pour les piles à combustible de type SOFC. Autrement, les réactions d'intercalation de l'oxygène réalisées à basse température présentent un outil puissant pour contrôler le dopage en oxygène ainsi que des propriétés physiques. Dans ce contexte, les oxydes ayant une structure type brownmillérite (A2BB'O5) ou type K2NiF4, ont attiré beaucoup d'attention, car ils montrent une mobilité de l'oxygène déjà à température ambiante.Dans cette thèse, nous avons étudié les mécanismes d'intercalation d'oxygène dans SrFeO2.5+x, ainsi que Pr2NiO4+x par des méthodes de diffraction in situ, réalisées sur des monocristaux dans une cellule électrochimique spécifiquement conçue, explorant principalement le rayonnement synchrotron. Ceci a permis d’explorer en 3D tout le réseau réciproque, et d'obtenir des informations précieuses sur la diffusion diffuse, sur les faibles intensités des raies de surstructure, ainsi que des informations sur la fraction volumique des différents domaines de maclage au cours de la réaction, impossibles à accéder par diffraction de poudre.Les deux systèmes montrent des changements structuraux complexes, accompagnés par une mise en ordre de l'oxygène à longue portée. Au cours de l'intercalation d'oxygène nous avons mis en évidence deux phases intermédiaires, SrFeO2.75 et SrFeO2.875, possédant des lacunes en oxygène ordonnées à longue échelle. En raison du maclage, avec jusqu'à douze possibles individus, nous avons suivi directement la formation et l'évolution des domaines de maclage ainsi que leur micro-structure apparentée. Nous avons ainsi observé un mécanisme de réaction topotactique pour SrFeO2.5 vers SrFeO2.75, tandis que l'oxydation de SrFeO2.75 conduit à des importants réarrangements de l’oxygène, associés à un changement de nombre de domaines de maclage. La réduction électrochimique de la phase orthorhombique Pr2NiO4.25 donne Pr2NiO4.0 comme produit final, ayant la même symétrie, tandis que la phase tétragonale Pr2NiO~4.12 apparaît comme phase intermédiaire. Utilisant un monocristal avec un diamètre de 50 microns, la réaction se déroule dans des conditions d'équilibre dans moins que 24 heures, ce qui implique un coefficient de diffusion de l’oxygène anormalement élevé, supérieur à 10-^11cm2*s-1 à température ambiante. Nous avons également étudié le diagramme de phase de Pr2NiO4.25 sur monocristal jusqu’à 1100°C en chauffant sous air. Une série complexe de transition de phases a été mise en évidence, la vraie symétrie de Pr2NiO4.25 s’avérée en fait monoclinique.Outre l'exploration des diagrammes de phases complexes de SrFeO2.5+x et Pr2NiO4+d, nous avons pu étudier les changements détaillés concernant la micro-structure à l'aide de diffraction sur monocristaux in situ, impossible à accéder par des méthodes de diffraction de poudre classique. Les changements de la micro-structure des domaines va bien au-delà des composés étudiés ici et porte une grande importance pour extrapoler sur la performance, la stabilité et la durée de vie par exemple des matériaux utilisés pour le stockage de l’énergie. / Understanding fundamental aspects of oxygen diffusion in solid oxides at moderate temperatures, down to ambient, is an important issue for the development of a variety of technological devices in the near future. This concerns e.g. the progress and invention of next generation solid oxygen ion electrolytes and oxygen electrodes for solid oxide fuel cells (SOFC) as well as membrane based air separators, oxygen sensors and catalytic converters to transform e.g. NOx or CO from exhaust emissions into N2 and CO2. On the other hand oxygen intercalation reactions carried out at low temperatures present a powerful tool to control hole doping, i.e. the oxygen stoichiometry, in electronically correlated transition metal oxides. In this aspect oxides with Brownmillerite (A2BB’O5) and K2NiF4-type frameworks, have attracted much attention, as they surprisingly show oxygen mobility down to ambient temperature. In this thesis we investigated oxygen intercalation mechanisms in SrFeO2.5+x as well as Pr2NiO4+x by in situ diffraction methods, carried out on single crystals in especially designed electrochemical cell, mainly exploring synchrotron radiation. Following up oxygen intercalation reactions on single crystals is challenging, as it allows to scan the whole reciprocal lattice, enabling to obtain valuable information as diffuse scattering, weak superstructure reflections, as well as information of the volume fraction of different domains during the reaction, to highlight a few examples, difficult or impossible to access by powder diffraction. Both title systems are able to take up an important amount of oxygen on regular and interstitial lattice sites, inducing structural changes accompanied by long range oxygen ordering. For SrFeO2.5+x the uptake of oxygen carried out by electrochemical oxidation yields SrFeO3 as the final reaction product. The as grown SrFeO2.5 single crystals we found to show a complex defect structure, related to the stacking disorder of the octahedral and tetrahedral layers. During the oxygen intercalation we evidenced the formation of two reaction intermediates, SrFeO2.75 and SrFeO2.875, showing complex and instantly formed long range oxygen vacancies. Due to the specific twinning with up to totally twelve possible twin individuals, we directly follow up the formation and changes of the specific domain and related micro-structure. We thus observed a topotactic reaction mechanism from SrFeO2.5 to SrFeO2.75, while further oxidation lead to important rearrangements in the dimensionality of the oxygen defects in SrFeO2.75, implying the formation of an additional twin domain in course of the reaction. The electrochemical reduction of orthorhombic Pr2NiO4.25 yields stoichiometric Pr2NiO4.0 as the final reaction product with the same symmetry, while tetragonal Pr2NiO~4.12 appears as a non-stoichiometric intermediate phase. Using a single crystal with 50µm diameter, the reaction proceeded under equilibrium conditions in slightly less than 24h, implying an unusually high oxygen ion diffusion coefficient of > 10^-11cm2*s-1 at already ambient temperature. From the changes of the associated twin domain structure during the reduction reaction, the formation of macro twin domains was evidenced. Heating up Pr2NiO4.25 single crystals in air revealed a complex series of phase transition, evidencing the true symmetry of the starting phase to be in fact monoclinic. Beside exploring the complex phase diagrams of SrFeO2.5+x and Pr2NiO4+d we were able to investigate detailed changes in the micro-structure using in situ single crystal diffraction techniques, impossible to access by classical powder diffraction methods. The importance of changes in the domain structure goes far beyond the investigated title compounds and has utmost importance of the performance, stability and lifetime of e.g. battery materials.

Sous l'influence de stimuli externes (température, irradiation lumineuse etc.), les matériaux à transition de spin peuvent commuter d'un état bas spin vers un état haut spin de manière réversible, entraînant une modification importante de leurs propriétés physiques (élastique, magnétique, optique etc.). De plus, dans les matériaux massifs, la transition de spin est souvent accompagnée d'un effet mémoire (cycle d'hystérésis). Toutes ces propriétés rendent ces matériaux moléculaires particulièrement attractifs pour des applications dans des dispositifs nanométriques. Cependant, ces propriétés sont généralement fortement dépendantes de la taille de l'objet. Cette dépendance peut mener à une perte du cycle d'hystérésis, une modification de la stabilité des phases et l'observation de transitions incomplètes. Ces phénomènes ont été étudiés à travers des approches de physique statistique et de thermodynamique mettant en exergue le rôle important des interfaces. Cette thèse se place dans la continuité de ces travaux et se focalise sur deux aspects. D'une part, une étude des surfaces et de leur relaxation à l'aide des modèles de type Ising et " spin-phonon " résolus numériquement (Monte Carlo, auto-convergence). Il est montré que les phénomènes de surface modifient en profondeur les propriétés du matériau, que le couplage entre surface et volume est d'autant plus important à l'approche de la transition et que ces inhomogénéités spatiales peuvent être à l'origine des transitions incomplètes observées. D'autre part, il est réalisé une étude expérimentale de la dynamique du réseau à l'aide de la diffusion nucléaire inélastique pour suivre l'évolution des propriétés élastiques et vibrationnelles avec la réduction de la taille à travers la densité d'états phononiques. Cette étude expérimentale est complétée par une étude théorique/numérique, à l'aide des techniques de la matrice dynamique et de la dynamique moléculaire. Les densités d'états vibrationnels de particules cubiques à motif octaédrique sont ainsi obtenues permettant d'appréhender les mécanismes de couplages des différents modes de vibration de l'octaèdre de coordination à l'état solide. Finalement, il est discuté des effets de confinement et de leurs conséquences sur les grandeurs liées à la dynamique du réseau telles que la vitesse du son. / Spin crossover compounds are able to reversibly switch from a low spin to a high spin state under the application of an external stimulus (temperature, light irradiation, etc.). This transition is associated with an important modification of the physical properties (elastic, magnetic, optical properties, etc.). In particular, in the solid state, a memory effect (hysteresis loop) can occur. All these features are particularly attractive for applications in nano-devices. However, these properties are largely dependent on the object size. This size dependence can lead to a loss of the hysteresis loop, a modification of the phase stability and to incomplete transition. These phenomena have been studied through statistical and thermodynamical approaches highlighting the important role of interfaces. This thesis is focused on two points. First, a study of the surfaces through the spatial relaxation is performed by numerically solving (Monte Carlo simulations and auto-convergence techniques) Ising-like and " spin-phonon " models. The analysis of the surface correlation length (surface thickness), revealed that the surface-volume coupling increases when getting closer to the transition temperature and that the spatial inhomogeneity can lead to incomplete transitions. On the other hand, an experimental study of the lattice dynamics is also performed. The density of phonon states is extracted from nuclear inelastic scattering in order to follow the size evolution of the vibrational and elastic properties. This experimental study is completed by the theoretical investigation (molecular dynamics simulations, dynamical matrix method) of the densities of vibrational states of cubic particles with an octahedral pattern allowing a better understanding of the coupling mechanisms of the different vibrational modes of the coordination octahedron in the solid state. Finally, the confinement effects and their consequences on the lattice dynamical parameters are discussed.

This thesis is focused on study of the vibron state in Ce intermetallics. The presence of a vibron state is a consequence of an enhanced magneto-elastic interaction, between phonons and 4f electrons of the Ce ion. The magneto-elastic interaction is usually weak and can be neglected, but here in CeAl2, CePd2Al2, CeCuAl3 and CeAuAl3 is considered to be strong enough, which leads to a bound state called the vibron state. A well determined crystal structure of these compounds is a necessary prerequisite to discuss this unique behaviour. Therefore our investigation is performed on the following levels: A crystal structure study of (Ce,La)Pd2Al2-xGax and CePt2Al2, by low temperature and high temperature X-ray powder diffraction; Investigation of bulk and transport properties of a CePt2Al2 single crystal using the specific heat, magnetisation and electrical resistivity measurements; Symmetry analysis of phonon modes and angular momentum operators in the model Hamiltonian, based on group theory; And finally the study of phonon dispersion curves in CePd2Al2 and LaPd2Al2 single crystals using inelastic X-ray scattering. All these results and preformed analyses lead to the following conclusions: The CePd2Al2 and LaPd2Al2 are incongruently melting phases. We found and described the way which has allowed us to...

The spin-lattice relaxation rates are calculated for a rigid magnetic spin cluster in an elastic medium in the presence of a magnetic eld using the latticerame method. This rate is then compared with both the rate calculated using the quantum mechanical densitymatrix method and with the Glauber dynamics. These calculation results are used in the contribution of various heat baths, such as a phonon bath in various dimensions or a fermionic bath, to transition rates that enter into dynamic Monte Carlo simulations of molecular magnets and nanomagnets.

O Tungstato de Zircônio (ZrW2O8) é um material que exibe Expansão Térmica Negativa (ETN), isotrópica em um amplo intervalo de temperatura (0,3 a 1050 K). Apesar de amplamente estudado, existem controvérsias acerca dos mecanismos microscópicos responsáveis por este comportamento. A fase cúbica deste composto, denominada a-ZrW2O8, já foi motivo de estudo através de simulações computacionais utilizando Potenciais Interatômicos (PI) e Dinâmica de Rede na Aproximação Quasi-Harmônica (DRQH). Nos dois PI distintos propostos na literatura conseguiu-se reproduzir a ETN da a-ZrW2O8, mas não a dependência com a temperatura do tensor de elasticidade. É partindo desta observação que este trabalho pretende avaliar o desempenho de PI existentes e de novos PI em simulações computacionais visando a descrição da dependência com a temperatura do tensor de elasticidade da a-ZrW2O8 entre 0 e 300 K. Utilizaram-se dados experimentais, tais como posições atômicas, parâmetros de rede e o tensor de elasticidade da a-ZrW2O8 em temperaturas entre 0 e 300 K e, em outra série de cálculos, a hipersuperfície de energia ab initio no limite atérmico para obter os parâmetros dos PI. Diferentes estratégias foram empregadas na busca pelos parâmetros dos PI incluindo minimização em linha, Newton-Raphson/BFGS e Algoritmo Genético (AG). Concluiu-se que não é possível descrever as propriedades estruturais e elásticas da a-ZrW2O8 em função da temperatura com PI simples e que esta incapacidade não está relacionada a qualquer limitação da DRQH ou dos parâmetros dos PI, mas à forma analítica dos PI empregados. Isto sugere que se deve ter cautela na interpretação de resultados obtidos com estes potencias já disponíveis na literatura. Como alternativas para a solução deste problema, pode-se considerar o uso de redes neurais para a representação da hipersuperfície de energia ab initio, o uso de PI mais sofisticados que levam em consideração a vizinhança atômica (bond order potentials) e, também, cálculo ab initio a T > 0, este último a um custo computacional muito mais elevado. / Submitted by Marcelo Teixeira (mvteixeira@ucs.br) on 2014-05-28T17:16:32Z No. of bitstreams: 1 Dissertacao Emiliano Chemello.pdf: 1343523 bytes, checksum: 46461698a2b6139def916307ab93478f (MD5) / Made available in DSpace on 2014-05-28T17:16:32Z (GMT). No. of bitstreams: 1 Dissertacao Emiliano Chemello.pdf: 1343523 bytes, checksum: 46461698a2b6139def916307ab93478f (MD5) / Zirconium tungstate (ZrW2O8) is a material that exhibits negative thermal expansion (NTE), over a wide temperature range (0.3 at 1050 K). Although thoroughly studied, controversies still remain concerning the microscopic mechanisms responsible for this behavior. The cubic phase of this compound, denominated a-ZrW2O8, was already the subject of study through computer simulations using interatomic potentials (IP) and lattice dynamics in quasiharmonic approximation (LDQH). In two different IPs proposed in the literature succeeded in reproducing the a-ZrW2O8 NTE, but not the dependence with temperature of the elasticity tensor. Starting from this observation, this work intends to evaluate of existent IPs and same proposed new IPs in computer simulations aiming the calculation of the tensor of elasticity for a-ZrW2O8 between 0 and 300 K. Experimental data (such as atomic positions, lattice parameters and the tensor of elasticity of a-ZrW2O8 at 0 and 300 K) and, in another series of calculations, the ab initio energy hypersurface in the athermic limit, were used to obtain the parameters of the IPs. Different strategies were used in the search for the parameters of IP, including line minimization, Newton-Raphson/BFGS and genetic algorithm (GA). At the end of an exhaustive search we were led to conclude that it is not possible to describe the structure and elastic properties of a-ZrW2O8 as a function of temperature with simple IPs and that this incapacity is not related the any limitation of LDQH or of the parameters of the IPs, but instead to the analytical form of the tested IPs. This suggests that same results obtained with IPs already available in the literature may be unreliable. As alternatives for the solution of this problem, it can be considered the use of a neural network for the representation of the ab initio energy hypersurface, the use of more sophisticated IPs than take into account the atomic neighborhood (bond order potentials) and even (with a computational cost much higher) ab initio calculations at T > 0.

O Tungstato de Zircônio (ZrW2O8) é um material que exibe Expansão Térmica Negativa (ETN), isotrópica em um amplo intervalo de temperatura (0,3 a 1050 K). Apesar de amplamente estudado, existem controvérsias acerca dos mecanismos microscópicos responsáveis por este comportamento. A fase cúbica deste composto, denominada a-ZrW2O8, já foi motivo de estudo através de simulações computacionais utilizando Potenciais Interatômicos (PI) e Dinâmica de Rede na Aproximação Quasi-Harmônica (DRQH). Nos dois PI distintos propostos na literatura conseguiu-se reproduzir a ETN da a-ZrW2O8, mas não a dependência com a temperatura do tensor de elasticidade. É partindo desta observação que este trabalho pretende avaliar o desempenho de PI existentes e de novos PI em simulações computacionais visando a descrição da dependência com a temperatura do tensor de elasticidade da a-ZrW2O8 entre 0 e 300 K. Utilizaram-se dados experimentais, tais como posições atômicas, parâmetros de rede e o tensor de elasticidade da a-ZrW2O8 em temperaturas entre 0 e 300 K e, em outra série de cálculos, a hipersuperfície de energia ab initio no limite atérmico para obter os parâmetros dos PI. Diferentes estratégias foram empregadas na busca pelos parâmetros dos PI incluindo minimização em linha, Newton-Raphson/BFGS e Algoritmo Genético (AG). Concluiu-se que não é possível descrever as propriedades estruturais e elásticas da a-ZrW2O8 em função da temperatura com PI simples e que esta incapacidade não está relacionada a qualquer limitação da DRQH ou dos parâmetros dos PI, mas à forma analítica dos PI empregados. Isto sugere que se deve ter cautela na interpretação de resultados obtidos com estes potencias já disponíveis na literatura. Como alternativas para a solução deste problema, pode-se considerar o uso de redes neurais para a representação da hipersuperfície de energia ab initio, o uso de PI mais sofisticados que levam em consideração a vizinhança atômica (bond order potentials) e, também, cálculo ab initio a T > 0, este último a um custo computacional muito mais elevado. / Zirconium tungstate (ZrW2O8) is a material that exhibits negative thermal expansion (NTE), over a wide temperature range (0.3 at 1050 K). Although thoroughly studied, controversies still remain concerning the microscopic mechanisms responsible for this behavior. The cubic phase of this compound, denominated a-ZrW2O8, was already the subject of study through computer simulations using interatomic potentials (IP) and lattice dynamics in quasiharmonic approximation (LDQH). In two different IPs proposed in the literature succeeded in reproducing the a-ZrW2O8 NTE, but not the dependence with temperature of the elasticity tensor. Starting from this observation, this work intends to evaluate of existent IPs and same proposed new IPs in computer simulations aiming the calculation of the tensor of elasticity for a-ZrW2O8 between 0 and 300 K. Experimental data (such as atomic positions, lattice parameters and the tensor of elasticity of a-ZrW2O8 at 0 and 300 K) and, in another series of calculations, the ab initio energy hypersurface in the athermic limit, were used to obtain the parameters of the IPs. Different strategies were used in the search for the parameters of IP, including line minimization, Newton-Raphson/BFGS and genetic algorithm (GA). At the end of an exhaustive search we were led to conclude that it is not possible to describe the structure and elastic properties of a-ZrW2O8 as a function of temperature with simple IPs and that this incapacity is not related the any limitation of LDQH or of the parameters of the IPs, but instead to the analytical form of the tested IPs. This suggests that same results obtained with IPs already available in the literature may be unreliable. As alternatives for the solution of this problem, it can be considered the use of a neural network for the representation of the ab initio energy hypersurface, the use of more sophisticated IPs than take into account the atomic neighborhood (bond order potentials) and even (with a computational cost much higher) ab initio calculations at T > 0.

Indiana University-Purdue University Indianapolis (IUPUI) / Due to the drastic increase in the cost of fossil fuels and other environmental issues, the demand for energy and its storage has risen globally. Rather than being dependent on intermittent energy sources like wind and solar energy, focus has been on alternative energy sources. To eliminate the need for fossil fuels, advances are being made to provide energy for hybrid electric vehicles (HEV), plug-in hybrid vehicles (PHEV) and pure electric vehicles (EV) thus providing scope for much greener environment. Hence, focus has been on development in lithium ion batteries to provide with materials that have high energy density and voltage. Ortho olivine lithium transitional metals are known to be abundant and inexpensive; these compounds are less noxious than other cathode materials. Advancement in research is being done in finding iron and manganese compounds as cathode materials for advanced technologies. However, Lithium manganese phosphates are known to suffer with poor electrochemical performances due the manganese dissolution in the organic liquid electrolyte due to Jahn-Teller Lattice distortion. This problem was tried to endorse in this thesis. In the second chapter by synthesizing nano sized cathode particles with good electronic conductivity, good performance was achieved. In the third chapter additive olivine cathode was synthesized my modified sol gel process. A wt. % of TMSP was added as an additive in the organic liquid electrolyte. By comparing the properties between the two kinds of electrolytes it was observed that by the addition of the additive in the organic electrolyte good electrochemical properties could be achieved hindering the Mn dissolution in the electrolyte. In the final chapter, a composite solid electrolyte was fabricated by using NASICON-type glass ceramic of Lithium aluminum titanium phosphate (LATP) with organic binder of Polyethylene oxide. The flexible solid electrolyte exhibited good ionic conductivity. An all solid state cell was fabricated using the composite solid electrolyte using LiMn2O4 as the symmetric electrodes. At different pressures, the performance of the solid state cell was studied.

Les alliages métalliques complexes sont des matériaux qui présentent un ordre à longue distance caractérisé par de grandes mailles comprenant plusieurs centaines d’atomes disposés en clusters. Une propriété caractéristique des CMAs est une conductivité thermique de réseau, dû aux phonons, très faible (~1.3 W/m.K), ce qui donne un intérêt pour leur utilisation comme thermoélectriques. Malgré de récentes avancées sur les connaissances de leurs structures, la nature des modes de vibrations des phonons dans ces réseaux restent une question ouverte : quel est le rôle des clusters ? Est-ce qu’il y a des modes critiques ? Pour répondre à cette problématique, mon projet de thèse a eu pour objectif de comprendre la nature des modes de vibrations à l’échelle atomique et la relation avec la conductivité thermique de réseau sur deux systèmes : la phase o-Al13Co4 qui est un approximant de la phase décagonale AlNiCo et le clathrate Ba8Ge40.3Au5.25, présentant des propriétés thermoélectriques. Mes investigations combinent des expériences de diffusion inélastiques des neutrons et des rayons-X et des simulations à l’échelle atomique.Une analyse détaillée des résultats expérimentaux obtenus par diffusion inélastique sur monocristaux pour les branches acoustiques a permis de mettre en évidence, pour la première fois, un temps de vie fini des phonons acoustiques lorsqu’ils interagissent avec les modes de basses énergies liés aux atomes dans les clusters. Pour les deux systèmes étudiés, nous observons que la branche acoustique n’est plus linéaire et le temps de vie des phonons acoustiques est réduit à quelques picosecondes. Ce faible temps de vie dépend peu de la température comme la conductivité thermique. Les simulations à l’échelle atomique, en utilisant des calculs DFT et des potentiels de pairs oscillants pour des simulations de dynamique moléculaire, ont permis de montrer que ce temps de vie est un effet anharmonique lié au désordre de structure. Les simulations confirment la faible dépendance en température de ce temps de vie. Dans o-Al13Co4, nous avons calculé la conductivité thermique avec la dynamique moléculaire et la méthode de Green-Kubo. Pour Ba8Ge40.3Au5.25 nous avons appliqué un modèle phénoménologique pour l’estimer en utilisant les résultats INS. En conclusion nous démontrons les effets de la complexité structurale sur la conductivité thermique en lien avec la dynamique de réseau. / Complex metallic alloys are long range ordered materials, characterized by large cells, comprising several hundreds of atoms and cluster building blocks. A key property of CMAs is the low lattice thermal conductivity (1.3 W/m. K), which suggests a potential application for CMAs for thermoelectricity. Despite recent advances structure determination, the nature of the phonons modes remains an open question: do the clusters playing a role? Are there critical modes? To tackle this problem, my PhD project aims to understand the vibrational modes at atomic scale and the relation to lattice thermal conductivity in o-Al13Co4 which is an approximant of the quasicrystal, decagonal phase AlNiCo and the clathrate Ba8Ge40.3Au5.25. In this worked we have used Inelastic Neutron and X-ray Scattering experiments and atomic scale simulations, based on density functional theory and empirical pair potentials.A detailed analysis of the results of inelastic scattering experiments on monocrystals for the acoustic branches have shown, for the first time, a finite lifetime for acoustic phonons when they interact with the low-lying dispersion-less excitations due to atoms in the cluster. In both systems, we observe that when an acoustic branch flattens near the zone boundary, the phonon lifetime is a few picoseconds. The phonon lifetime is approximately independent of temperature like the lattice thermal conductivity. Lattice and molecular dynamics simulations with DFT and empirical, oscillating pair potentials show that the finite phonon lifetime is an anharmonic effect, due to structural disorder, explaining the weak temperature of the phonon lifetime. For o-Al13Co4, we have calculated the thermal conductivity with the Green-Kubo method based on equilibrium MD simulations. For Ba8Ge40.3Au5.25 we have developed a phenomenological model based on individual phonon modes. In conclusion, we have demonstrated how structural complexity affects thermal conductivity through the lattice dynamics.

In our pursuit of ever smaller transistors, with greater computational throughput, many questions arise about how material properties change with size, and how these properties may be modelled more accurately. Metallic nanocontacts, especially those for which magnetic properties are important, are of great interest due to their potential spintronic applications. Yet, serious challenges remain from the standpoint of theoretical and computational modelling, particularly with respect to the coupling of the spin and lattice degrees of freedom in ferromagnetic nanocontacts in emerging spintronic technologies. In this thesis, an extended method is developed, and applied for the first time, to model the interplay between magnetism and atomic structure in transition metal nanocontacts. The dynamic evolution of the model contacts emulates the experimental approaches used in scanning tunnelling microscopy and mechanically controllable break junctions, and is realised in this work by classical molecular dynamics and, for the first time, spin-lattice dynamics. The electronic structure of the model contacts is calculated via plane-wave and local-atomic orbital density functional theory, at the scalar- and vector-relativistic level of sophistication. The effects of scalar-relativistic and/or spin-orbit coupling on a number of emergent properties exhibited by transition metal nanocontacts, in experimental measurements of conductance, are elucidated by non-equilibrium Green’s Function quantum transport calculations. The impact of relativistic effects during contact formation in non-magnetic gold is quantified, and it is found that scalar-relativistic effects enhance the force of attraction between gold atoms much more than between between atoms which do not have significant relativistic effects, such as silver atoms. The role of non-collinear magnetism in the electronic transport of iron and nickel nanocontacts is clarified, and it is found that the most-likely conductance values reported for these metals, at first- and lastcontact, are determined by geometrical factors, such as the degree of covalent bonding in iron, and the preference of a certain crystallographic orientation in nickel. / Physics / Ph. D. (Physics)

[EN] Nature is nonlinear. The linear description of physical phenomena is useful for explain observations with the simplest mathematical models, but they are only accurate for a limited range of input values. In the case of intense acoustics waves, linear models obviate a wide range of physical phenomena that are necessary for accurately describe such high-amplitude waves, indispensable for explain other exotic acoustic waves and mandatory for developing new applied techniques based on nonlinear processes. In this Thesis we study the interactions between nonlinearity and other basic wave phenomena such as non-classical attenuation, anisotropic dispersion and periodicity, and diffraction in specific configurations. First, we present intense strain waves in a chain of cations coupled by realistic interatomic potentials. Here, the nonlinear ionic interactions and lattice dispersion lead to the formation of supersonic kinks. These intrinsically-nonlinear localized dislocations travel long distances without changing its properties and explain the formation of dark traces in mica crystals. Then, we analyze nonlinear wave processes in a system composed of multilayered acoustic media. The rich nonlinear dynamics of this system is characterized by its strong dispersion. Here, harmonic generation processes and the relation with its band structure are presented, showing that the nonlinear processes can be enhanced, strongly minimized or simply modified by tuning the layer parameters. In this way, we show how the dynamics of intense monochromatic waves and acoustic solitons can be controlled by artificial layered materials. In a second part, we include diffraction and analyze four types of singular beams. First, we study nonlinear beams in two dimensional sonic crystals. In this system, the inclusion of anisotropic dispersion is tuned for obtain simultaneous self-collimation for fundamental and second harmonic beams. The conditions for optimal second harmonic generation are presented. Secondly, we present limited diffraction beam generation using equispaced axisymmetric diffraction gratings. The obtained beams are truncated version of zero-th order Bessel beams. Third, the grating spacing can be modified to achieve focusing, where the generated nonlinear beams presents high gain, around 30 dB, with a focal width which is between the diffraction limit and the sub-wavelength regime, but with its characteristic high amplitude side lobes strongly reduced. Finally, we observe that waves diffracted by spiral-shaped gratings generate high-order Bessel beams, conforming nonlinear acoustic vortex. The conditions to obtain arbitrary-order Bessel beams by these passive elements are presented. Finally, the interplay of nonlinearity and attenuation in biological media is studied in the context of medical ultrasound. First, a numerical method is developed. The method solves the constitutive relations for nonlinear acoustics and the frequency power law attenuation of biological media is modeled as a sum of relaxation processes. A new technique for reducing numerical dispersion based on artificial relaxation is included. Second, this method is used to study the harmonic balance as a function of the power law, showing the role of weak dispersion and its impact on the efficiency of the harmonic generation in soft-tissues. Finally, the study concerns the nonlinear behavior of acoustic radiation forces in frequency power law attenuation media. We present how the interplay between nonlinearity and the specific frequency power law of biological media can modify the value for acoustic radiation forces. The relation of the nonlinear acoustic radiation force with thermal effects are also discussed. The broad range of nonlinear processes analyzed in this Thesis contributes to understanding the behavior of intense acoustic waves traveling trough complex media, while its implications for enhancing existent applied acoustics techniques are presented. / [ES] La Naturaleza es no lineal. La descripción lineal de los fenómenos físicos es de gran utilidad para explicar nuestras observaciones con modelos matemáticos simples, pero éstos sólo son precisos en un limitado rango de validez. En el caso de onda acústica de alta intensidad, los modelos lineales obvian un amplio rango de fenómenos físicos que son necesarios para describir con precisión las ondas de gran amplitud, pero además son necesarios para explicar otros procesos más exóticos e indispensables para desarrollar nuevas aplicaciones basadas en propagación no lineal. En esta Tesis, estudiamos las interacciones entre no linealidad y otros procesos complejos como atenuación no-clásica, dispersión anisotrópica y periodicidad, y difracción en configuraciones específicas. En primer lugar, presentamos ondas de deformación en una cadena de cationes acoplados por potenciales realísticas. Aquí, las interacciones no lineales entre iones, producen la conformación de kinks supersónicos. Estas dislocaciones localizadas intrínsecamente no lineales viajan por la red largas distancias sin variar sus propiedades, y pueden explicar la formación de trazas en minerales como la mica. Aumentando la escala del problema, estudiamos los procesos acústicos no lineales en medios multicapa. La rica dinámica de estos medios está caracterizada por la fuerte dispersión debido a la periodicidad del sistema. Aquí, estudiamos los procesos de generación de harmónicos, mostrando como modificando la estructura podemos potenciar, minimizar, o simplemente modificar artificialmente la transferencia de energía entre las componentes espectrales, y de esta manera controlar la dinámica de las ondas y solitones en el interior de la estructura. En la segunda parte, incluimos difracción y analizamos cuatro tipos de haces singulares. En primer lugar, analizamos haces ultrasónicos no lineales en cristales de sonido bidimensionales. En este sistema, las propiedades de anisotropía del medio son ajustadas para obtener la auto-colimación simultánea del primer y segundo harmónico. Así, se obtiene la propagación no difractiva para las dos componentes. En segundo lugar, presentamos haces de difracción limitada empleando rejillas de difracción axisimétricas. Por último, demostramos la generación de haces de Bessel de orden superior mediante estructuras en espiral. En la última parte, estudiamos la competición entre no linealidad y la atenuación y dispersión observable en medios biológicos en el contexto de las aplicaciones de biomédicas de los ultrasonidos. En primer lugar desarrollamos un nuevo método computacional para la dependencia frecuencial en forma de ley de potencia de la absorción característica de los tejidos. Este método en dominio temporal es usado posteriormente para revisar los procesos básicos no lineales prestando especial interés en el paper de la dispersión del tejido. Por último, la resolución de las ecuaciones constitutivas nos permite abordar la descripción no lineal de la fuerza de radiación acústica producida en tejidos biológicos, y las implicaciones existentes con la deposición de energía y transferencia de momento para ondas ultrasónicas de alta intensidad. El amplio abanico de procesos no lineales analizados en esta tesis contribuye a una mejor comprensión de la dinámica de las ondas acústicas de alta intensidad en medios complejos, donde las implicaciones existentes en cuanto a la mejora de sus aplicaciones prácticas son puestas de manifiesto. / [CA] La Naturalesa és no lineal. La descripció lineal dels fenòmens físics és de gran utilitat per a explicar les nostres observacions amb models matemàtics simples, però aquests sol són precisos en un limitat rang de validesa. En el cas d'ona acústica d'alta intensitat, els models lineals obvien un ampli rang de fenòmens físics que són necessaris per a descriure amb precisió les ones de gran amplitud, però a més són necessaris per a explicar altres processos més exòtics i indispensables per a desenvolupar noves aplicacions basades en propagació no lineal. En aquesta Tesi, estudiem les interaccions entre no-linealitat i altres processos complexos com atenuació no-clàssica, dispersió anisotròpica i periodicitat, i difracció en configuracions específiques. En primer lloc, presentem ones de deformació en una cadena de cations acoblats per potencials realistes. Ací, les interaccions no lineals entre ions, produeixen la conformació de kinks supersònics. Aquestes dislocacions localitzades intrínsecament no lineals viatgen per la xarxa llargues distàncies sense variar les seues propietats, i poden explicar la formació de traces en minerals com la mica. Augmentant l'escala del problema, estudiem els processos acústics no lineals en mitjans multicapa. La rica dinàmica d'aquests mitjans es caracteritza per la forta dispersió a causa de la periodicitat del sistema. Ací, estudiem els processos de generació d'harmònics, mostrant com modificant l'estructura podem potenciar, minimitzar, o simplement modificar artificialment la transferència d'energia entre les components espectrals, i d'aquesta manera controlar la dinàmica de les ones i solitons a l'interior de l'estructura. En la segona part, incloem difracció i analitzem quatre tipus de feixos singulars. En primer lloc, analitzem feixos ultrasònics no lineals en cristalls de so bidimensionals. En aquest sistema, les propietats d'anisotropia del medi són ajustades per a obtenir l'acte-col·limació simultània del primer i segon harmònic. Així, s'obté la propagació no difractiva per a les dues components. En segon lloc, presentem feixos de difracció limitada emprant reixetes de difracció axisimètriques. Per últim, vam demostrar la generació de feixos de Bessel d'ordre superior mitjançant estructures en espiral. En l'última part, estudiem la competició entre no linealitat i l'atenuació i dispersió observable en medis biològics en el context de les aplicacions biomèdiques dels ultrasons. En primer lloc desenvolupem un nou mètode computacional per a la dependència freqüencial en forma de llei de potència de l'absorció característica dels teixits biològics. Aquest mètode en domini temporal és usat posteriorment per a revisar els processos bàsics no lineals prestant especial interés en el paper de la dispersió del teixit. Per últim, la resolució de les equacions constitutives ens permet abordar la descripció no lineal de la força de radiació acústica produïda en teixits biològics, i les implicacions existents amb la deposició d'energia i transferència de moment per a ones ultrasòniques d'alta intensitat. L'ampli ventall de processos no lineals analitzats en aquesta tesi contribueix a una millor comprensió de la dinàmica de les ones acústiques d'alta intensitat en medis complexos, on les implicacions existents quant a la millora de les seues aplicacions practiques són posades de manifest. / Jiménez González, N. (2015). Nonlinear Acoustic Waves in Complex Media [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/53237 / TESIS / Premios Extraordinarios de tesis doctorales