This dissertation attempts to extend the classes of halogen-containing systems which may be studied using solid-state nuclear magnetic resonance (SSNMR). As line shape broadening due to the quadrupolar interaction (QI) scales inversely with the applied field, high-field magnet technology is indispensable for this research. Combining advanced radiofrequency pulse sequences with high-field wideline data acquisition allowed for the collection of very broad SSNMR signals of all quadrupolar halogen nuclei (i.e., 35/37Cl, 79/81Br and 127I) within a reasonable amount of experimental time. The initial systems for study were of the MX2 variety (M = Mg, Ca, Sr, Ba; X = Cl, Br, I). In total, 9 anhydrous compounds were tested. The effects of hydrate formation were tested on 7 additional compounds. Systematic trends in the observed δiso values (and to a lesser extent, Ω and CQ) were found to be diagnostic of the extent of hydration in these materials. Resolving power was successfully tested using SrBr2, which possesses 4 magnetically unique sites. The composition of CaBr2•xH2O was convincingly determined using SSNMR data and the hydration trends noted above. The sensitivity of the QI to the local bonding environment (e.g., bond distance changes of less than 0.05 Å) was used to refine (when coupled with gauge-including projector augmented-wave density functional theory (GIPAW DFT) quantum chemical computations) the structure of MgBr2, and was used to correct prior NMR data for CaCl2 (earlier accounts had been performed upon a CaCl2 hydrate). During NMR data analysis of certain iodine-containing materials, it was found that standard fitting software (which uses perturbation theory) could not reproduce the observations. Proper analysis required the use of exact simulation software and allowed for the observation of high-order quadrupole-induced effects (HOQIE). This motivated further studies using rhenium-185/187 nuclei, where it was expected that HOQIE would be more dramatic. The observed rhenium SSNMR spectra possessed additional fine structure that had never been observed before experimentally, nor would be expected from currently-available perturbation theory analysis software. Lastly, preliminary results are shown where 127I SSNMR is used to study important supramolecular systems, and the composition of the popular synthetic reagent ‘GaI’ is elucidated.

In der vorliegenden Arbeit wird dargestellt, wie sich mit Methoden der nuklearen Festkörperphysik Defekte und Deformationen selbst in kristallographisch komplexen Materialien wie den MAX-Phasen, einer Klasse von Komplexcarbiden bzw. -nitriden, in-situ nachweisen lassen. Die sensitive Messgröße bildet dabei der elektrische Feldgradient (EFG), der ein Maß für die Asymmetrie der den jeweiligen Sondenkern umgebenden Ladungsverteilung darstellt. Es werden zwei Wechselwirkungsmechanismen zwischen Defekt und EFG diskutiert: Einerseits die langreichweitigen Auswirkungen elastischer Verzerrungen, andererseits der direkte Einfluss eines Defektes auf seine lokale elektronische Umgebung. Die Bestimmung der elastischen Antwort des Feldgradienten erfolgt mittels Ab-initio-Methoden im Rahmen der Dichtefunktionaltheorie. Der dabei vorgestellte Ansatz erlaubt es, die Ursachen der Dehnungsabhängigkeit zu klären und andere, speziellere Dehnungsabhängigkeiten wie die Volumenabhängigkeit oder die Strukturabhängigkeit des Feldgradienten zu bestimmen. Die in der Umgebung bestimmter Defekte oder Deformationen auftretenden EFG-Verteilungen werden anhand der allgemeinen Dehnungsabhängigkeit mittels Monte-Carlo-Simulationen bestimmt. Die so vorhergesagten Verteilungen werden durch ein Experiment im Rahmen der gestörten $\gamma$-$\gamma$-Winkelkorrelation (PAC) sichtbar gemacht, indem polykristalline MAX-Phasen unter uniaxialer Last verformt werden. Eine quantitative Auswertung erlaubt es schließlich, Defektdichten in-situ abzuschätzen. Die lokalen Auswirkungen auf den EFG werden anhand verschiedener MAX-Phasen-Mischkristalle systematisch untersucht. Im Zuge dessen wird die Synthese eines bisher unbekannten MAX-Phasen-Mischkristalls, Ti$_2$(Al$_{0,5}$,In$_{0,5}$)C, beschrieben. Die Zugehörigen Gitterkonstanten werden mittels Röntgendiffraktometrie im Rahmen der Rietveld-Methode bestimmt.

Chlorine solid-state nuclear magnetic resonance (SSNMR) is an ideal site specific probe of chloride-containing solids as SSNMR tensor properties are sensitive to the local chlorine environment. In this thesis, the development and use of chlorine SSNMR as a method to characterize a wide variety of chemical environments was explored. Ultrahigh field, and multi-field studies were essential to overcome the difficulties associated with the collection of chlorine SSNMR spectra. Benchmark chemical shift (CS) and electric field gradient (EFG) tensor data were collected for organic chloride systems, including several amino acid hydrochlorides. These experiments demonstrated the sensitivity of chlorine SSNMR to slight changes in chemical environment. Quantum chemical calculations were used to complement experimental data, with the gauge-including projector augmented wave DFT (GIPAW-DFT) method shown to yield better agreement than B3LYP or RHF methods. The GIPAW-DFT method was found to slightly, but systematically, overestimate the chlorine quadrupolar coupling constant and the CS tensor span. Other organic chlorides examined by chlorine SSMR included a known ion receptor, meso-octamethylcalix[4]pyrrole. This compound was found to have a very small quadrupole interaction (QI), but significant chemical shift anisotropy (CSA). GIPAW-DFT calculations were also utilized and, in combination with the experimental results, used to identify the solvate structure of the material analyzed by NMR. Chlorine SSNMR was further used to study different solvate structures and polymorphism. The technique was an effective means to distinguish different room temperature polymorphs of benzidine hydrochloride, despite the similarities of the chloride environments. In the case of magnesium chloride, chlorine SSNMR was sensitive to the level of hydration and through the use of GIPAW-DFT calculations, the identity of an unknown hydrate was determined. An analysis of several group thirteen chlorides demonstrated that chlorine SSNMR was also capable of characterizing the chlorine environment in cases where the QI is large, despite the resulting broad line widths. In these systems GIPAW-DFT calculations also yielded excellent agreement with experimental values. Throughout this research, chlorine SSNMR has been shown to be a useful and effective means to study both organic and inorganic chlorides, with computational methods proving to be an important complement to experimental data.

This dissertation attempts to extend the classes of halogen-containing systems which may be studied using solid-state nuclear magnetic resonance (SSNMR). As line shape broadening due to the quadrupolar interaction (QI) scales inversely with the applied field, high-field magnet technology is indispensable for this research. Combining advanced radiofrequency pulse sequences with high-field wideline data acquisition allowed for the collection of very broad SSNMR signals of all quadrupolar halogen nuclei (i.e., 35/37Cl, 79/81Br and 127I) within a reasonable amount of experimental time. The initial systems for study were of the MX2 variety (M = Mg, Ca, Sr, Ba; X = Cl, Br, I). In total, 9 anhydrous compounds were tested. The effects of hydrate formation were tested on 7 additional compounds. Systematic trends in the observed δiso values (and to a lesser extent, Ω and CQ) were found to be diagnostic of the extent of hydration in these materials. Resolving power was successfully tested using SrBr2, which possesses 4 magnetically unique sites. The composition of CaBr2•xH2O was convincingly determined using SSNMR data and the hydration trends noted above. The sensitivity of the QI to the local bonding environment (e.g., bond distance changes of less than 0.05 Å) was used to refine (when coupled with gauge-including projector augmented-wave density functional theory (GIPAW DFT) quantum chemical computations) the structure of MgBr2, and was used to correct prior NMR data for CaCl2 (earlier accounts had been performed upon a CaCl2 hydrate). During NMR data analysis of certain iodine-containing materials, it was found that standard fitting software (which uses perturbation theory) could not reproduce the observations. Proper analysis required the use of exact simulation software and allowed for the observation of high-order quadrupole-induced effects (HOQIE). This motivated further studies using rhenium-185/187 nuclei, where it was expected that HOQIE would be more dramatic. The observed rhenium SSNMR spectra possessed additional fine structure that had never been observed before experimentally, nor would be expected from currently-available perturbation theory analysis software. Lastly, preliminary results are shown where 127I SSNMR is used to study important supramolecular systems, and the composition of the popular synthetic reagent ‘GaI’ is elucidated.

Thesis (M.S.)--Miami University, Dept. of Physics, 2005. / Title from first page of PDF document. Document formatted into pages; contains [1], vii, 55 p. : ill. Includes bibliographical references (p. 53-55).

As interações hiperfinas são uma ótima ferramenta para estudar um sítio específico e obter informações importantes sobre o sistema. No presente trabalho analisamos de forma teórica as propriedades eletrônicas, estruturais e hiper nas do Cádmio (Cd) ligado às bases nitrogenadas do DNA. A motivação surgiu da colaboração com o grupo do prof. Artur W. Carbonari do Instituto de Pesquisas Energéticas e Nucleares (IPEN) e que tem como objetivo investigar o DNA e anticorpos de linhagens de camundongos infectados pela cepa Y de Trypanosoma cruzi, protozoário causador da doença de Chagas. A técnica Time Differential Perturbed Angular Correlation (TDPAC) foi utilizada para obter as medidas das interações hiperfinas do DNA. O núcleo de prova das medidas foi o 111Cd. Utilizamos uma abordagem quântica ab initio all-electron, dentro da Teoria do Funcional da Densidade (DFT), através do código computacional CP-PAW que combina o método Projector Augmented Wave (PAW) e a dinâmica molecular quântica de Car-Parrinello (CPMD). Ressaltamos que, até o presente momento, nenhum estudo com esta abordagem teórica e com este código computacional foi realizado para investigar as propriedades hiper nas do Cd ligado as bases nitrogenadas do DNA. / The Hyperfine interactions are good tools to study speci c sites and obtain important information about a given system. In this work we study electronic, structural and hyper ne properties of the Cadmium (Cd) coordinated to the DNA nitrogenous bases. The motivation for this study arose from a collaboration with the group of prof. Arthur W. Carbonari at the Institute of Energy and Nuclear Research (IPEN), which aims to investigate DNA and antibodies to strains of mice infected with the Trypanosoma cruzi, the protozoan that causes Chagas disease. The Time Differential Perturbed Angular Correlation (TDPAC) technique was used to obtain hypefine interactions measurements at a Cd probe bonded to DNA. We use ab initio all-electron calculations, within the Density Functional Theory (DFT) and we use the computer code CP-PAW that combines the Projector Augmented Wave (PAW) method and the Car-Parrinello (CP) quantum molecular dynamics approach to. We emphasize that, until now, no study with this theorectical approach and with this computer code was conducted to investigate the hyper ne properties of the Cd binding to the DNA bases.

A química computacional apresenta a grande vantagem de prover informações fundamentais para espécies moleculares propostas, antes mesmo de sua síntese em laboratório. A Teoria do Funcional da Densidade é bastante utilizada nesta área, produzindo resultados satisfatórios para um grande número de propriedades e sistemas, mas com uma menor demanda por recursos computacionais que métodos mais avançados. Entretanto, o desenvolvimento de funcionais que incluem efeitos relativísticos ainda se encontra num estágio inicial. Em geral, tais efeitos são importantes em compostos de átomos pesados, embora devam ser considerados também em sistemas com átomos mais leves se a propriedade em estudo for particularmente sensível, como é o caso do gradiente de campo elétrico na posição de núcleos em moléculas. Assim, na primeira etapa desta dissertação foi avaliado o desempenho de funcionais comuns de troca-correlação não relativísticos, quando utilizados em conjunto com o formalismo de quatro componentes (tratamento relativístico), no estudo dos gradientes de campo elétrico em núcleos de átomos (índio, antimônio, iodo, lutécio e háfnio) constituindo moléculas diatômicas. Foram investigados funcionais baseados nas aproximações da densidade local e do gradiente generalizado, funcionais híbridos e que incluem correções em termos da atenuação com a distância. Nossos resultados, que estão em acordo com observações da literatura, ressaltam o melhor desempenho de funcionais híbridos e com correções de atenuação para esta propriedade e demonstram a importância do uso do método indireto. Posteriormente, foi feita uma nova parametrização de alguns dos melhores funcionais não relativísticos selecionados na etapa anterior (B3LYP, PBE0 e CAM-B3LYP), dentro do formalismo de quatro componentes, para uso no cálculo destes mesmos gradientes num grupo teste de átomos (cobre, iodo, lantânio e ouro) em moléculas lineares. Nestes casos, os funcionais modificados propostos tiveram um bom desempenho geral e foram particularmente bem sucedidos para cobre e ouro. Finalmente, é possível destacar o funcional híbrido PBE0 e sua modificação, proposta neste estudo, por conta de seu desempenho excelente, tanto para os metais como para os demais elementos que tiveram seus EFGs investigados aqui. / The computational chemistry has the great advantage of providing fundamental information for proposed molecular species even before their synthesis in laboratory. The Density Functional Theory is widely used in this area, producing satisfactory results for a large number of properties and systems, but with a lower demand for computational resources than that of more advanced methods. However, the development of functionals that include relativistic effects is still at an early stage. In general, these effects are important in compounds containing heavy elements, but they must also be considered in systems of lighter atoms if the studied property was particularly sensitive, as occurs for the electric field gradient at the position of nuclei in molecules. Thus, the first step of this dissertation was to evaluate the performance of common non-relativistic exchange-correlation functionals when used in conjunction with the four component formalism (relativistic treatment) in the study of electric field gradients at the nuclei of atoms (indium, antimony, iodine, lutetium and hafnium) forming diatomic molecules. Functionals based on the local density approximation and generalized gradient approximation, hybrid functionals and the ones that include attenuation corrections were investigated. Our results, which are in agreement with observations in the literature, highlight the best performance of hybrid functionals and attenuation corrections for this property and demonstrate the importance of using the indirect approach. Subsequently, there was a new parameterization of some of the best non-relativistic functionals selected in the previous step (B3LYP, PBE0 and CAM - B3LYP) within the four component formalism for calculations of these same gradients in a trial group of atoms (copper, iodine, lanthanum and gold) into linear molecules. In these cases, the modified functionals proposed had a satisfactory overall performance and were particularly successful for copper and gold. Finally, it is possible to mention the excellent performance of the hybrid functional PBE0 and its modification proposed in this study for both metals and the other elements that had their EFGs investigated here.

Chlorine solid-state nuclear magnetic resonance (SSNMR) is an ideal site specific probe of chloride-containing solids as SSNMR tensor properties are sensitive to the local chlorine environment. In this thesis, the development and use of chlorine SSNMR as a method to characterize a wide variety of chemical environments was explored. Ultrahigh field, and multi-field studies were essential to overcome the difficulties associated with the collection of chlorine SSNMR spectra. Benchmark chemical shift (CS) and electric field gradient (EFG) tensor data were collected for organic chloride systems, including several amino acid hydrochlorides. These experiments demonstrated the sensitivity of chlorine SSNMR to slight changes in chemical environment. Quantum chemical calculations were used to complement experimental data, with the gauge-including projector augmented wave DFT (GIPAW-DFT) method shown to yield better agreement than B3LYP or RHF methods. The GIPAW-DFT method was found to slightly, but systematically, overestimate the chlorine quadrupolar coupling constant and the CS tensor span. Other organic chlorides examined by chlorine SSMR included a known ion receptor, meso-octamethylcalix[4]pyrrole. This compound was found to have a very small quadrupole interaction (QI), but significant chemical shift anisotropy (CSA). GIPAW-DFT calculations were also utilized and, in combination with the experimental results, used to identify the solvate structure of the material analyzed by NMR. Chlorine SSNMR was further used to study different solvate structures and polymorphism. The technique was an effective means to distinguish different room temperature polymorphs of benzidine hydrochloride, despite the similarities of the chloride environments. In the case of magnesium chloride, chlorine SSNMR was sensitive to the level of hydration and through the use of GIPAW-DFT calculations, the identity of an unknown hydrate was determined. An analysis of several group thirteen chlorides demonstrated that chlorine SSNMR was also capable of characterizing the chlorine environment in cases where the QI is large, despite the resulting broad line widths. In these systems GIPAW-DFT calculations also yielded excellent agreement with experimental values. Throughout this research, chlorine SSNMR has been shown to be a useful and effective means to study both organic and inorganic chlorides, with computational methods proving to be an important complement to experimental data.

This dissertation attempts to extend the classes of halogen-containing systems which may be studied using solid-state nuclear magnetic resonance (SSNMR). As line shape broadening due to the quadrupolar interaction (QI) scales inversely with the applied field, high-field magnet technology is indispensable for this research. Combining advanced radiofrequency pulse sequences with high-field wideline data acquisition allowed for the collection of very broad SSNMR signals of all quadrupolar halogen nuclei (i.e., 35/37Cl, 79/81Br and 127I) within a reasonable amount of experimental time. The initial systems for study were of the MX2 variety (M = Mg, Ca, Sr, Ba; X = Cl, Br, I). In total, 9 anhydrous compounds were tested. The effects of hydrate formation were tested on 7 additional compounds. Systematic trends in the observed δiso values (and to a lesser extent, Ω and CQ) were found to be diagnostic of the extent of hydration in these materials. Resolving power was successfully tested using SrBr2, which possesses 4 magnetically unique sites. The composition of CaBr2•xH2O was convincingly determined using SSNMR data and the hydration trends noted above. The sensitivity of the QI to the local bonding environment (e.g., bond distance changes of less than 0.05 Å) was used to refine (when coupled with gauge-including projector augmented-wave density functional theory (GIPAW DFT) quantum chemical computations) the structure of MgBr2, and was used to correct prior NMR data for CaCl2 (earlier accounts had been performed upon a CaCl2 hydrate). During NMR data analysis of certain iodine-containing materials, it was found that standard fitting software (which uses perturbation theory) could not reproduce the observations. Proper analysis required the use of exact simulation software and allowed for the observation of high-order quadrupole-induced effects (HOQIE). This motivated further studies using rhenium-185/187 nuclei, where it was expected that HOQIE would be more dramatic. The observed rhenium SSNMR spectra possessed additional fine structure that had never been observed before experimentally, nor would be expected from currently-available perturbation theory analysis software. Lastly, preliminary results are shown where 127I SSNMR is used to study important supramolecular systems, and the composition of the popular synthetic reagent ‘GaI’ is elucidated.

Mn+1AXn-Phasen sind thermodynamisch stabile nanolaminierte Ternärcarbide und -nitride, die sowohl metallische als auch keramische Eigenschaften aufweisen. Der Buchstabe M steht für ein frühes Übergangsmetall, der Buchstabe A für ein A-Element aus den Gruppen IIIA – VIA und X für Kohlenstoff und/oder Stickstoff. Die M-Atome bilden Oktaederschichten mit X-Atomen in ihren Zentren. Der Index n beschreibt die Dicke der Mn+1Xn-Lage, die zwischen zwei hexagonalen A-Schichten eingebettet ist. Die außergewöhnlichen Eigenschaften dieser Materialien haben ihren Ursprung in ihrer Mikrostruktur. Um einen Einblick auf atomarer Ebene zu gewinnen wird die Messmethode der gestörten γ-γ-Winkelkorrelation (PAC) angewendet. Die radioaktiven Sonden 111In/111Cd und 181Hf/181Ta werden durch Ionenimplantation und/oder durch Neutronenaktivierung in das Wirtsmaterial eingebracht, um den elektrischen Feldgradienten (EFG) zu messen, der am Gitterpatz des Sondenatoms herrscht. Das erste Ziel der Arbeit ist die Suche nach optimalen Ausheilparametern, mit denen ein möglichst hoher Anteil der Sonden die gleiche lokale Umgebung spürt. Der nächste Schritt ist die Bestimmung des Gitterplatzes der Sonden in der MAX-Struktur. Als Ergebnis kann festgestellt werden, dass 111In in den In- und Al-basierten MAX-Phasen fast ausschließlich den A-Platz besetzt, während 181Hf in Hf2InC auf dem M-Platz eingebaut wird. Als überraschendes Ergebnis zeigt diese Arbeit, dass die PAC-Methode bei Phasen mit gleichen Konstituenten, aber unterschiedlicher Mn+1Xn-Schichtdicke sensitiv auf die Änderung der Stapelfolge ist. Die Experimente werden mit umfangreichen Rechnungen auf Basis der Dichtefunktionaltheorie (DFT) verglichen, die hier erstmalig für nahezu alle Mitglieder der Familie der MAX-Verbindungen durchgeführt wurden. Die DFT-Rechnungen reproduzieren die gemessenen EFGs mit hoher quantitativer Genauigkeit und stützen die Hypothese, dass sich die Sonden auf den prognostizierten Gitterplätzen befinden.