Metal-organic frameworks (MOFs), a new class of porous solids comprised of metal-containing nodes linked by organic ligands, have become promising materials for gas separations. In particular, their flexible chemistry makes them attractive for CO2 capture from flue gas streams in post-combustion plants. Although numerous efforts have been exerted on the investigation of MOFs for CO2 capture, the exploration of the effects from coexisting components present in very dilute proportions in flue gases is limited because of the experimental difficulty to determine the coadsorption of CO2 with trace components. In this regard, molecular simulations show superiority. In this study, molecular simulations are used to estimate the influence of impurities: water, O2, and SO2 on post-combustion CO2 capture in MOFs. Firstly, two MOFs with coordinatively unsaturated metal sites (CUMs), HKUST-1 and Mg-MOF-74 are explored. Increase of CO2 adsorption is observed for hydrated HKUST-1; on the contrary, the opposite water adsorption behavior is observed in hydrated Mg-MOF-74, leading to decrease of CO2 adsorption. Further, water effects on CO2 capture in M-HKUST1 (M = Mg, Zn, Co, Ni) are evaluated to test whether comparing the binding energy could be a general method to evaluate water effects in MOFs with CUMs. It is found that the method works well for Zn-, Co-, and Ni-HKUST1 but partially for Mg-HKUST1. In addition, the effects of O2 and SO2 on CO2 capture in MOFs are also investigated for the first time, showing that the effects of O2 may be negligible but SO2 has negative effects in the CO2 capture process in HKUST-1 systems. Secondly, the influences of water on CO2 capture in three UiO-66 MOFs with functional groups, –NH2, –OH and –Br are explored, respectively. For UiO-66-NH2 and -OH, the presence of water lowers CO2 adsorption significantly; in contrast, water shows much smaller effects in UiO-66-Br. Moreover, the presence of SO2 decreases water adsorption but enhances CO2 uptakes slightly in both UiO-66-NH2 and -Br. Finally, the effects of impurities on CO2 capture in a MOF with suitable pore size (PCN-200) are analyzed. The adsorption of both CO2 and N2 decrease substantially even with 1% water present in the mixture. In addition, the presence of low SO2 does not show obvious effect in PCN-200. However, a lower CO2 adsorption is observed for a mixture with a high SO2 content. In collaboration with experimental groups, the performances of three new MOFs in CO2 capture are evaluated using molecular simulations. The computational results demonstrate the feasibility of precisely designing single-molecule traps (SMT) for CO2 capture. Also, a multi-functional MOF with micro-porosity, open Cu2+ sites and amine groups has also proved computationally the selective adsorption of CO2 over CH4 and N2. Last, we demonstrate that charge separation is an effective strategy for improving CO2 capture in MOFs.

Crystallising large, flexible molecules, which are becoming more common in pharmaceutical development, often presents significant challenges for chemists and particle scientists. These difficulties are sometimes attributed to the flexibility of the molecule, and the existence of multiple conformers in solution. Structurally related impurities, frequently present when crystallising these materials, can also impact on growth and habit, and both these aspects are considered in this thesis. This work considers two pharmaceutical compounds, a relatively small but nonetheless flexible molecule, ethenzamide, and a precursor of Amprenavir, a much larger molecule. Both compounds typically grow as thin needles in a wide variety of solvents, and effort was required to grow suitable crystals for structure determination. Ethenzamide has an unusual structure, the amide group being out-of-plane relative to the ring, while in all known co-crystals of the compound, including three new co-crystal structures determined in this work, it has a planar structure with an intramolecular hydrogen bond not seen in the single component crystal. Theoretical structure generation calculations suggest a second polymorph with a planar conformation may exist, though a screen has not found any further solid phases. ab initio work suggests the planar conformation is the stable arrangement in vacuo. Several structures for the Amprenavir intermediate have been determined, as an ethanol solvate, a methanol solvate and a hydrate. A phase diagram has been measured in the industrial solvent mix, and the nucleation and growth properties of this molecule, both pure and in the presence of several structurally related impurities, have been measured. The Cambridge Structural Database has been searched for similar structures, and conformational searches have been carried out for both molecules, using vacuum phase ab initio energy calculations. Infrared spectroscopy has been used to investigate solution phase structure. These theoretical and practical studies will try to relate conformational properties to crystallisation behaviour.

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O objetivo deste trabalho foi o estudo do íon Fe3+ em monocristais e fibras monocristalinas de LiNbO3, através da técnica espectroscópica da Ressonância Paramagnética Eletrônica (RPE), nas freqüências de 10 e 34GHz, à temperatura ambiente. O Hamiltoniano de Spin para o íon Fe3+ ocupando um sítio de simetria trigonal (C3v) é dado por: H = \'beta\' \'VET.H\' \'VET.g\' \'VET.S\' + \'B20O20+B40O40 . Foram analisadas três amostras de LiNbO3, com diferentes concentrações de Fe3+ e os parâmetros de campo cristalino e fator-g encontrados são: fibra (0.3 mol% de Fe3+) g = 1.9908 \'+OU-\' 0.0002, \'B. SUP. 0 INF. 2\' = 5.4\'+OU-\'0.2x10-2 cm-1 , \'B. SUP. 0 INF. 4\' = -7.7\'+OU-\'1.5x10-5cm-1, monocristal 90 (0.22 mol%) g = 2.0043\'+OU-\'0.0002, \'B. SUP. 0 INF. 2\' = 5.35\'+OU-\'0.25x10-2 cm-1, \'B. SUP. 0 INF. 4\'= - 4.03\'+OU-\'1.4x10-5cm-1, monocristal 99 (0.02 mol%) g = 2.0026\'+OU-\'0.0004, \'B. SUP. 0 INF. 2\' = 5.4\'+OU-\'0.3x10-2 cm-1, \'B. SUP. 0 INF. 4\' = - 8.33\'+OU-\'1.6x10-5cm-1. Foi medida e analisada a dependência angular da largura das linhas nas duas bandas de freqüências. Através de modelos teóricos (Watanabe, Orbach-Das-Sharma, Spinspin, Spin-spin Spin-órbita) calculamos o parâmetro de desdobramento a campo zero, \'B. SUP. 0 INF. 2\', do estado fundamental do íon Fe3+, para determinar qual o sítio que este íon ocupa no LiNbO3. / We report EPR measurements of Fe3+ ion in bulk LiNbO3 single crystals and in the form of fibers. Spin Hamiltonian for the Fe3+ ion in a trigonal symmetry (C3v) site is given by: H = \'beta\' \'VET.H\' \'VET.g\' \'VET.S\' + \'B20O20+B40O40. Measurements were performed at room temperature and two frequency bands, 10 and 34GHz, using three samples of LiNbO3 with different concentrations of Fe3+ g-factor and the crystal field parameters were found to be: for fiber (0.3 mol% of Fe3+) g = 1.9908 \'+OU-\' 0.0002, \'B. SUP. 0 INF. 2\' = 5.4\'+OU-\'0.2x10-2 cm-1 , \'B. SUP. 0 INF. 4\' = -7.7\'+OU-\'1.5x10-5cm-1, for the single crystal 90 (0.22 mol%) g = 2.0043\'+OU-\'0.0002, \'B. SUP. 0 INF. 2\' = 5.35\'+OU \'0.25x10-2 cm-1, \'B. SUP. 0 INF. 4\'= - 4.03\'+OU-\'1.4x10-5 cm-1, and for the single crystal 99 (0.02 mol%) g = 2.0026\'+OU-\'0.0004, \'B. SUP. 0 INF. 2\' = 5.4\'+OU-\'0.3x10-2 cm-1, \'B. SUP. 0 INF. 4\' = - 8.33\'+OU-\'1.6x10-5cm-1. The angular dependence of the line width were also measured and compared with theoretical model. To determine the substitutional site of Fe3+ ion in the LiNbO3 lattice, we calculated the zero field splitting parameter \'B. SUP. 0 INF. 2\' of the ground state, using many theoretical models (Watanabe, Orbach-Das-Sharma, Spin-spin, Spin-Spin Spinorbita).

Este trabalho tem como objetivo desenvolver uma técnica de calculo que permita diagonalizar Hamiltonianos de mais de uma impureza e adaptá-la ao calculo de suas propriedades termodinamicas. Esta técnica é uma extensão do método de grupo de renormalização, originalmente desenvolvido por Wilson para calcular propriedades termodinâmicas do modelo Kondo de uma impureza. O procedimento baseia-se na discretização logarítmica da banda de condução do metal hospedeiro, definida por um parâmetro de discretização &#923, que permite que se projete o Hamiltoniano em uma base quântica finita, na qual o mesmo possa ser diagonalizado numericamente. O tempo do custo computacional do calculo diminui exponencialmente à medida que &#923 cresce, tornando melhor trabalharmos com valores grandes de &#923. O grande problema em usarmos &#923 grande e que aparecem oscilações nas curvas das propriedades termodinâmicas. Neste trabalho apresentamos o método generalizado que elimina essas oscilações. Inicialmente, testamos o método no modelo de Anderson sem correlação de uma impureza para o cálculo da suscetibilidade magnética do sistema, com resultado satisfatório. Na seqüência, para verificar a potencialidade do método, diagonalizamos o Hamiltoniano de Falicov, Kimball e Ramirez (sem spin) do modelo de duas impurezas e calculamos a suscetibilidade de carga da impureza. A motivação para esse cálculo e a equivalência existente entre o Hamiltoniano de Vigman e Finkelshtein e o Hamiltoniano Kondo, para o modelo de uma impureza. No caso de duas impurezas o nosso calculo demonstra que a interação RKKY destrói essa equivalência, ainda que qualitativamente as curvas da suscetibilidade de carga neste modelo reproduzam as de suscetibilidade magnética do modelo Kondo. / This thesis develops an extension of the numerical renormalization - group method. The extended procedure is capable of computing the temperature dependence of the magnetic susceptibility for two-impurity models of dilute magnetic alloys. The renormalization-group approach was devised by Wilson to calculate the thermodynamical properties for the one-impurity Kondo model. The numerical procedure is based on a logarithmic discretization of the conduction band of the metallic host, which is defined by a dimensionless parameter &#923 &#62 1, equal to the ratio of two sucessive discrete energies. Once the conduction Hamiltonian is discretized, the model Hamiltonian reduces to a discrete series that can be diagonalized numerically. The computational cost of the diagonalization diminishes exponentially with 1/ ln &#923, which makes it attractive to work with large &#923. unfortunately, the thermodynamical averages computed with Wilson\'s original version of the numerical renormalization group method and large &#923, computed as function of the temperature, display artificial oscilations with period ln &#923 and amplitude proportional to e-&#9602/ln&#923. By contrast, the generalized procedure in this work produces thermal dependences that converge so rapidly to the continuum (&#923 + 1) limit that curves computed with &#923=10 are virtually identical with those calculated with &#923=3 in the original procedure. As an illustration, we have diagonalized a two-impurity version of the (spinless) Falicov-Kimball-Ramirez Hamiltonian and calculated its charge susceptibility. This application was motivated by the well-established equivalence between the single-impurity (spinless) Vigman-Finkelshtein and Kondo models. In the case of two impurities, our work shows tha the RKKY interaction destroys the equivalence between the two models. Nonetheless, the charge susceptibility curves for the two-impurity Falicov-Kimball-Ramirez model show the qualitative features of the magnetic susceptibility for the two-impurity Kondo model.

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