This thesis aims to find out the effective diffusivity (Deff) of a porous material – γ-alumina, using an unsteady state method with two inert gases at ambient condition with no reactions. For porous materials, Deff is important because it determines the amount of reactants that transfers to the surface of pores. When Deff is known, the apparent tortuosity factor of γ-alumina is calculated using the parallel pore model. The apparent tortuosity factor is important because: (a) it can be used to back-calculate Deff at reacting conditions; (b) once Deff with reactions is known, the Thiele modulus can be calculated and hence the global reaction rate can be found; (c) apparent tortuosity factor is also important for modelling purposes (e.g. modelling a packed-bed column or a catalytic combustion reactor packed with porous γ-alumina in various shapes and monoliths). Experimental measurements were performed to determine the effective diffusivity of a binary pair of non-reacting gases (He in N2, and N2 in He) in spherical γ-alumina pellets (1 mm diameter), and in γ-alumina washcoated monoliths (washcoat thickness 20 to 60 µm, on 400 cpsi (cells per square inch) cordierite support). The method used is based on the chromatographic technique, where a gas flows through a tube, which is packed with the sample to be tested. A pulse of tracer gas is injected (e.g. using sample loops: 0.1, 0.2, 0.5 ml) and by using an on-line mass spectrometer the response in the outlet of the packed bed is monitored over time. For the spherical pellets, the tube i.d. = 13.8 mm and the packed bed depths were 200 and 400 mm. For monoliths the tube i.d. = 7 mm and the packed lengths were 500 and 1000 mm. When the chromatographic technique was applied to the monoliths, it was observed that experimental errors can be significant, and it is very difficult to interpret the data. However, the technique worked well with the spherical pellets, and the effective diffusivity of He in N2 was 0.75 – 1.38 × 10-7 m2 s-1, and for N2 in He was 1.81 – 3.10 × 10-7 m2 s-1. Using the parallel pore model to back-calculate the apparent tortuosity factor, then a value between 5 to 9.5 was found for the pellets.

Solubility prediction usually refers to prediction of the intrinsic aqueous solubility, which is the concentration of an unionised molecule in a saturated aqueous solution at thermodynamic equilibrium at a given temperature. Solubility is determined by structural and energetic components emanating from solid-phase structure and packing interactions, solute–solvent interactions, and structural reorganisation in solution. An overview of the most commonly used methods for solubility prediction is given in Chapter 1. In this thesis, we investigate various approaches to solubility prediction and solvation model development, based on informatics and incorporation of empirical and experimental data. These are of a knowledge-based nature, and specifically incorporate information from the Cambridge Structural Database (CSD). A common problem for solubility prediction is the computational cost associated with accurate models. This issue is usually addressed by use of machine learning and regression models, such as the General Solubility Equation (GSE). These types of models are investigated and discussed in Chapter 3, where we evaluate the reliability of the GSE for a set of structures covering a large area of chemical space. We find that molecular descriptors relating to specific atom or functional group counts in the solute molecule almost always appear in improved regression models. In accordance with the findings of Chapter 3, in Chapter 4 we investigate whether radial distribution functions (RDFs) calculated for atoms (defined according to their immediate chemical environment) with water from organic hydrate crystal structures may give a good indication of interactions applicable to the solution phase, and justify this by comparison of our own RDFs to neutron diffraction data for water and ice. We then apply our RDFs to the theory of the Reference Interaction Site Model (RISM) in Chapter 5, and produce novel models for the calculation of Hydration Free Energies (HFEs).

La pulvérisation cathodique magnétron est un procédé plasma très répandu dans l'industrie pour le dépôt de couches minces. Néanmoins, les exigences des nouvelles applications nécessitent de mieux comprendre, contrôler et maîtriser les processus fondamentaux gouvernant le transport de la matière pour optimiser le procédé. Ce travail de thèse porte sur l'étude du transport des atomes pulvérisés de tungstène (W) en décharge magnétron continu (DC direct current) et pulsée haute puissance (HiPIMS_high power impulse magnétron sputtering). La fluorescence induite par diode laser (TD-LIF) a été mise au point afin de mesurer les fonctions de distribution en vitesse des atomes W pulvérisés. Les mesures ont été calibrées par absorption laser et validées en corrélant avec les vitesses de dépôt. En procédé DC, l'étude de l’influence des paramètres de la décharge (puissance, tension, mélange gazeux Ar/He, distance par rapport à la cible, etc.) a mis en évidence l'évolution spatiale des régimes de transport balistique (atomes énergétiques), diffusif (atomes thermalisés), et mixte (balistique+diffusif). Pour l'étude du procédé HiPIMS, le plasma pulsé a nécessité de développer la TD-LIF résolue en temps (TR-TDLIF). Le degré de liberté supplémentaire qu'offre la dimension temporelle du plasma HiPIMS a permis de mieux comprendre le transport mixte qui représente le cas le plus compliqué. En effet, cela a permis de mesurer la cinétique du transport des atomes pulvérisés en ayant la possibilité de séparer les temps caractéristiques des différents processus / Magnetron sputter deposition is an established and widely used method for the growth of thin films. Nevertheless, the high level of expectations regarding new applications require a better understanding, controlling, mastering of basic processes governing atoms transport in the view of process optimization. This work consist in the study of transport of sputtered W atoms in direct current and high power impulse magnetron discharges (DC and HiPIMS). A tunable diode laser induced fluorescence technique (TD-LIF) has been developed, in order to measure W sputtered atom velocity distribution function. Measurements were calibrated using laser absorption and were corroborated by deposition rate. In DC, the study of the influence of discharge parameters (power, voltage, Ar/He gas mixture, and distance from target, etc.) highlighted spatial evolution of different regimes of transport: ballistic (energetic atoms), diffusive (thermalized atoms), and mixed (ballistic + diffusive). In HiPIMS, pulsed plasma required to develop a time resolved TD-LIF technique (TR-TDLIF). The additional degree of freedom, given by time dimension allowed for a better understanding of mixed transport which represents the most complicated situation. This technique allowed to measure the kinetic of sputtered W atoms while at the same time providing the possibility to separate characteristic time scales of different processes

Neste trabalho, a estrutura local e média de nanopartículas foi estudada utilizando-se métodos de espalhamento e difração de raios X. Os métodos utilizados foram: Análise da Função de Distribuição de Pares Atômicos (Atomic Pair Distribution Function Analysis, em inglês) para o estudo do ordenamento estrutural de curto alcance, Refinamento de Rietveld e Modelamento Total do Perfil de Difração de Pó para o estudo do ordenamento médio. Os materiais estudados foram: nanopartículas de KY3F10 dopadas com Tb, nanocubos núcleo-camada (core-shell, em inglês) de FeO-Fe3O4 e nanopartículas de ferritas de Mn-Zn. O trabalho teve como objetivo demonstrar como os métodos mencionados podem ser utilizados de forma complementar para fornecer informações de curto, médio e longo alcance usando-se dados de espalhamento e difração de raios X. Neste trabalho, ressalta-se a importância de cada método no estudo da estrutura cristalina e demonstra avanço e desenvolvimento de metodologias para a sua aplicação. / In this work, local and average structure of nanoparticles were studied using X-ray scattering and diffraction methods. The methods used were: Atomic Pair Distribution Function Analysis to study the short-range ordering, Rietveld refinement and Whole Powder Pattern Modelling to study the long-range ordering. The studied materials were: Tb-doped KY3F10 nanoparticles, core-shell FeO-Fe3O4 nanocubes and Mn-Zn ferrite nanoparticles. The objective of this work was to demonstrate how the methods mentioned can be used in a complementary way to provide short, average and long range information about the structure using X-ray scattering and diffraction data. The importance of each method to study the crystalline structure is highlighted demonstrating progress and development of methodologies for its application.

Les mesures de bosons W produits en collisions pPb à une énergie dans le centre de masse de 5,02 TeV sont présentées dans le canal de désintégration muonique. Les données collectées par le détecteur CMS représentent une luminosité intégrée de 34,6 nb-1. Les sections efficaces de production ainsi que plusieurs asymétries sont mesurées en fonction de la pseudo-rapidité du muon, pour des muons ayant tous une impulsion transverse supérieure à 25 GeV/c. Ces observables sont comparées à deux paramétrisations de distributions partoniques (PDF). La première (CT10) ne considère pas de modifications nucléaires sur les PDF et les PDF de noyaux sont donc une superposition de PDF de protons libres. La seconde (EPS09) tient compte de modifications nucléaires. Les mesures obtenues confirment légèrement certaines modifications et une observable en particulier, dévie des deux paramétrisations. Les données pourraient indiquer une dépendance des PDF nucléaires en fonction de la saveur du quark de valence. / Measurements of W bosons produced in pPb collisions at nucleon-nucleon centre-of-mass energy $\sqrt{s\rm{_{NN}}}=5.02$ TeV are presented in the muon plus neutrino decay channel. The data sample of 34.6 nb-1 integrated luminosity was collected by the CMS detector. The W boson differential cross sections, lepton-charge asymmetry and forward/backward asymmetry are computed as a function of the lepton pseudorapidity, for muons of transverse momentum higher than 25 GeV/$c$. These observables are compared to two sets of parton distributions (PDF). One of two assumes nuclear modifications (EPS09) while the other is simply a superposition of free proton PDF CT10). Some of the observables deviate from expectations based on unmodified and currently available nuclear PDF. One in particular slightly deviates from both predictions which may indicates dependence of nuclear PDF as a function of the valence quark flavor.

Die Kristallisation ist ein wichtiger Teilprozess bei der industriellen Herstellung vieler Materialien und Medikamente. Es ist jedoch ein vielschichtiger, physikalischer Vorgang, der noch nicht vollständig aufgeklärt ist. Der Schwerpunkt dieser Arbeit liegt auf der Kristallisation von organischen, polymorphen Verbindungen aus unterschiedlichen Lösungsmitteln. Die Kristallisationsstudien wurden in einem akustischen Levitator mit Klimakammer, der den Einfluss von Temperatur, Feuchtigkeit und festen Oberflächen steuert, durchgeführt. Verschiedene analytische in-situ-Methoden und deren Kopplung kamen für die Analyse der Kristallisationsabläufe zum Einsatz. Als Unterstützung für die Interpretation der beobachteten Phänomene wurden unter äquivalenten Bedingungen Moleküldynamik-Simulationen vorgenommen. Die Kristallisation der Modellverbindungen zeigte verschiedene spezifische Kristallisationspfade, die nicht dem klassischen Kristallisationsmodell entsprachen. Zunächst verdampfte das Lösungsmittel, was mit einer Konzentrationszunahme der Lösung und der Ausbildung von charakteristischen amorphen Phasen (Polyamorphismus) einherging, und schließlich trat die Kristallisation ein. Durch die oberflächenfreie Kristallisation wurde ausschließlich nur ein Polymorph ein- und derselben Verbindung als Kristallisationsprodukt isoliert. Die gezielte Wahl der Ausgangskonzentration und eines Lösungsmittels ermöglichte die Steuerung des Kristallisationsverlaufs hin zu einer gewünschten Kristallstruktur des untersuchten Materials. Die Ergebnisse dieser Arbeit unterstützen das Verständnis über den komplexen Ablauf des Kristallisationsvorgangs, gleichzeitig zeigen sie weitere Ansätze auf, die Kristallisation zu untersuchen. Die neuen Erkenntnisse sind hilfreich bei der Optimierung der Herstellungsprozesse verschiedener Materialien. / Crystallization is a complex process, which is used in different processes in the industrial production of various materials. The limited understanding about its fundamental mechanisms challenges the control of crystallization and influences the quality of the materials. The research of this work concentrates on the crystallization studies of organic model systems (active pharmaceutical ingredients) from different organic solvents in an acoustic levitator. This specific sample environment regulates the influence that solid surfaces, temperature, and humidity have on the crystallization process. The investigations were performed with in situ analytical techniques and theoretical simulations to gain a comprehensive insight into processes, occurring intermediates, and required reaction conditions. The results show that the model systems follow specific crystallization pathways different than those predicted by the classical nucleation theory. The crystallization proceeded via the evaporation of the solvent and the formation of characteristic amorphous phases (polyamorphism) into one crystalline structure of the compound. The targeted choice of the solvent and the concentration enabled the guidance of the pathways, therefore, resulting in the isolation of one desired crystalline structure. The findings are of great interest and they help explain the crystallization mechanisms on a molecular level, which is a fundamental contribution for the optimization of manufacturing processes.

傳統迴歸分析是假設觀測值的不確定性來自於隨機現象，本文則應用模糊隨機變數概念於迴歸模式的架構，考慮將隨機現象和模糊認知並列研究。針對樣本模糊數(x_i, Y_i)，我們進行模糊迴歸參數估計，並稱此為模糊迴歸模式分析。模糊迴歸參數估計大都採用線性規劃，求出適當區間，將觀測模糊數Y_i的分佈範圍全部覆蓋。但是此結果並不能充分反映觀測樣本Y_i的特性。本研究提出一套模糊迴歸參數的估計方法，其結果對觀測樣本的解釋將更為合理，且具有模糊不偏的特性。在分析過程中，我們亦提出一些模糊統計量如模糊期望值、模糊變異數、模糊中位數的定義，以增加對這些參數的模糊理解。最後在本文中也針對台灣景氣指標與經濟成長率作實務分析，說明模糊迴歸模式的適用性。 / Conventional study on the regression analysis is based on the conception that the uncertainty of observed data comes from the random property. However, in this paper we consider both of the random property and the fuzzy perception to construct the regression model by using of fuzzy random variables. For the fuzzy sample (x_i,Y_i), we will process the parameters estimation of the fuzzy regression, and we call this process as fuzzy regression analysis. The parameters estimation for a fuzzy regression model is generally derived by the linear programming scheme. But it's result usually doesn't sufficiently reflect the characteristics of the observed samples. Hence in this paper we propose an alternative technique for parameters estimation in constructing the fuzzy regression model. The result will describe the observed data better than the conventional method did, moreover it will have the fuzzy unbiased properties. For the purpose of fuzzy perception on the fuzzy random variables, we also give definitions for certain important fuzzy statistics such as fuzzy expected value, fuzzy variance and fuzzy median. Finally, we give an example about the Taiwan Business Cycle and the Taiwan Economic Growth Rate for illustration.

Diffusion-weighted magnetic resonance imaging (MRI) has allowed unprecedented non-invasive mapping of brain neural connectivity in vivo by means of fiber tractography applications. Fiber tractography has emerged as a useful tool for mapping brain white matter connectivity prior to surgery or in an intraoperative setting. The advent of high angular resolution diffusion-weighted imaging (HARDI) techniques in MRI for fiber tractography has allowed mapping of fiber tracts in areas of complex white matter fiber crossings. Raw HARDI images, as a result of elevated diffusion-weighting, suffer from depressed signal-to-noise ratio (SNR) levels. The accuracy of fiber tractography is dependent on the performance of the various methods extracting dominant fiber orientations from the HARDI-measured noisy diffusivity profiles. These methods will be sensitive to and directly affected by the noise. In the first part of the thesis this issue is addressed by applying an objective and adaptive smoothing to the noisy HARDI data via generalized cross-validation (GCV) by means of the smoothing splines on the sphere method for estimating the smooth diffusivity profiles in three dimensional diffusion space. Subsequently, fiber orientation distribution functions (ODFs) that reveal dominant fiber orientations in fiber crossings are then reconstructed from the smoothed diffusivity profiles using the Funk-Radon transform. Previous ODF smoothing techniques have been subjective and non-adaptive to data SNR. The GCV-smoothed ODFs from our method are accurate and are smoothed without external intervention facilitating more precise fiber tractography. Diffusion-weighted MRI studies in amyotrophic lateral sclerosis (ALS) have revealed significant changes in diffusion parameters in ALS patient brains. With the need for early detection of possibly discrete upper motor neuron (UMN) degeneration signs in patients with early ALS, a HARDI study is applied in order to investigate diffusion-sensitive changes reflected in the diffusion tensor imaging (DTI) measures axial and radial diffusivity as well as the more commonly used measures fractional anisotropy (FA) and mean diffusivity (MD). The hypothesis is that there would be added utility in considering axial and radial diffusivities which directly reflect changes in the diffusion tensors in addition to FA and MD to aid in revealing neurodegenerative changes in ALS. In addition, applying adaptive smoothing via GCV to the HARDI data further facilitates the application of fiber tractography by automatically eliminating spurious noisy peaks in reconstructed ODFs that would mislead fiber tracking.

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