The need for highly efficient energy storage devices has been steadily increasing due to growing energy demands. Research in electrochemical energy storage in the form of batteries has consequently become crucial. Currently, the most commercialized battery technology is the lithium ion battery (LIB). Concerns over the relatively limited global lithium supply, however, have led to the development of sodium ion batteries (SIBs). Solid-state nuclear magnetic resonance (ssNMR) spectroscopy is an ideal technique for analyzing battery materials as it can potentially distinguish between different ions within the material. The most typical cathode for commercial LIBs are the family of NMC layered oxides with the general form Li[NixMnyCo1-x-y]O2, which consist of Li layers between sheets of transition metals (TMs). The pj-MATPASS NMR technique, in conjunction with Monte Carlo simulations, was applied to investigate the ionic arrangement within TM layers of NMC622 (Li[Ni0.6Mn0.2Co0.2]O2), which revealed the presence of ion clustering in the pristine form of this material. This thesis also investigated the promising SIB cathode, Na3V2(PO4)2F3 (NVPF). NVPF has the capability to produce energy densities comparable to those of LIBs and is well understood from a structural standpoint, however ion dynamics within the material are still undetermined. A series of materials have, therefore, been synthesized with the general form, Na3V2-xGax(PO4)2F3 (where x = 0, 1, and 2), where diamagnetic Ga3+ was introduced into the structure to enable the establishment of a structural correlation with observed Na-ion dynamics. It, therefore, became possible to explore ionic site exchange using 23Na ssNMR. Density functional theory (DFT) calculations have also been performed alongside ssNMR to confirm chemical shift assignments and provide structural insight. Additionally, electron paramagnetic resonance (EPR) spectroscopy was also used to investigate the paramagnetic nature of NVPF and its variants. Insights into the ionic arrangement and very fast Na-ion dynamics within these materials were revealed. / Thesis / Master of Science (MSc) / The need for highly efficient energy storage devices, especially in the form of batteries, has been steadily increasing due to growing energy demands. Presently, the most commercialized types of batteries are lithium ion batteries (LIBs). Concerns over the relatively limited global lithium supply, however, have led to the development of sodium ion battery (SIB) alternatives. Various solid-state nuclear magnetic resonance (ssNMR) techniques have been employed in this thesis to investigate both LIB and SIB cathode materials. The LIB cathode Li[Ni0.6Mn0.2Co0.2]O2 was examined with a combination of ssNMR and Monte Carlo simulations, and it was found that ion clustering occurs in the pristine form of these materials. The promising family of SIB cathodes, Na3V2-xGax(PO4)2F3, was studied by a combination of ssNMR, ab initio calculations, and EPR, which allowed for a correlation to be established between the crystal structure and the fast ion dynamics within these materials.

The purpose of the research contained in this thesis is to allow for the prediction of new structures and properties of crystalline structures due to the application of external pressure by using first-principles numerical computations. The body of the thesis is separated into two primary research projects. The properties of cupric oxide (CuO) have been studied at pressures below 70 GPa, and it has been suggested that it may show room-temperature multiferroics at pressure of 20 to 40 GPa. However, at pressures above these ranges, the properties of CuO have yet to be examined thoroughly. The changes in crystal structure of CuO were examined in these high-pressure ranges. It was predicted that the ambient pressure monoclinic structure changes to a rocksalt structure and CsCl structure at high pressure. Changes in the magnetic ordering were also suggested to occur due to superexchange interactions and Jahn-Teller instabilities arising from the d-orbital electrons. Barium chloride (BaCl) has also been observed, which undergoes a similar structural change due to an s – d transition, and whose structural changes can offer further insight into the transitions observed in CuO. Ammonia borane (NH3BH3) is known to have a crystal structure which contains the molecules in staggered conformation at low pressure. The crystalline structure of NH3BH3 was examined at high pressure, which revealed that the staggered configuration transforms to an eclipsed conformation stabilized by homopolar B–Hδ-∙∙∙ δ-H–B dihydrogen bonds. These bonds are shown to be covalent in nature, comparable in bond strength to conventional hydrogen bonds, and may allow for easier molecular hydrogen formation in hydrogen fuel storage.

Criticality calculations are often performed in MCNP5 using the Shannon entropy as an indicator of source convergence for the given neutron transport problem. The Shannon entropy is a concept that comes from information theory. The Shannon entropy is calculated for each batch in MCNP5, and it has been shown that the Shannon entropy tends to converge to a single value as the source distribution converges. MCNP5 has its own criteria for when the Shannon entropy has converged and recommends a number for how many batches should be skipped; however, this value for how many batches should be skipped is often not very accurate and has room for improvement. This work will investigate an approach for using the Shannon entropy source distribution convergence information obtained in a shorter simulation to predict the required number of generations skipped in the reference case with desired statistical precision. In several test cases, it has been found that running a lesser number of particles per batch produces a similar Shannon entropy graph when compared to running more particles per batch. Then, by appropriate adjustment through a synthetic model, one is able to determine when the Shannon entropy will converge by running fewer particles, finding the point where it converges and then using this value to determine how many batches one should skip for a given problem. This reduces computational time and any "guessing" involved when deciding how many batches to skip. Thus, the purpose of this research is to develop a model showing how one can use this concept and produce a streamlined approach for applying this concept to a criticality problem.

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<p>This thesis describes the use of 2H-azirines as reactivesubstrates in Lewis acid catalysed nucleophilic additions andin the Diels-Alder reaction.A number of carbon nucleophiles have been added to aseries of 2H-azirines in the presence and absence ofBF3·Et2O. 3-(2-Naphthyl)-2H-azirine has been used as amodel substrate in the enantioselective addition oforganolithium reagents to an 2H-azirine.A selection of Lewis acids has been screened for theirpossible use in the normal electron demand Diels-Alder reactionbetween 3-alkyl-, 3-aryl-, and 3- carboxyl-2H-azirines and avariety of dienes. Lewis acid activation was found to shortenreaction times and facilitate lower reaction temperatures.These cycloadditions proceeded with endo selectivity providinga single diastereoisomeric product.DFT calculations of Lewis acid activated 2H-azirineshave been carried out.</p><p><b>Keywords:</b>2H-azirines, Lewis acid activation, chiralligands, organolithium reagents, Diels-Alder reactions,DFT-calculations</p>

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