Host–guest complexes are widely investigated because of their importance in many industrial applications. The investigation of their physico–chemical properties helps understanding the inclusion phenomenon. The hosts investigated in this work are cryptophane molecules possessing a hydrophobic cavity. They can encapsulate small organic guests such as halo–methanes (CH2Cl2, CHCl3). The encapsulation process was investigated from both the guest and the host point of view. With the help of Nuclear Magnetic Resonance (NMR), the kinetics of complex formation was determined. The information was further used to obtain the activation energies of the processes. Having done this on five different cryptophanes, it is possible to relate the energies to structural differences between the hosts. Via the dipolar interaction between the guest’s and host’s protons, one can get information on the orientation of the guest inside the cavity. Moreover, the dynamics of the guest can be further investigated by its relaxation properties. This revealed restricted motion of the guest inside the host cavity. Not only the nature of the guest plays an important role. The host is also changing its properties upon encapsulation. All the cryptophanes investigated here can exchange rapidly between many conformers. These conformers have different–sized cavities. Quantum chemical optimization of the structure of the conformers makes volume estimation possible. Not only the cavity volumes, but also the quantum-chemically obtained energies and the calculated chemical shifts of the carbon–13 atoms can be helpful to follow the changes of the host upon complex formation. The host cannot be considered as a rigid entity. Analysis of variable temperature proton and carbon-13 spectra shows that the encapsulation can be considered as a mixture of conformational selection and induced fit. The structures of the formed complexes are further investigated by means of two-dimensional nuclear Overhauser spectroscopy (NOESY). The complex formation, its kinetics and thermodynamics are found to be a complicated function of structure elements of the host, the cavity size and the guest size and properties. / <p>At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 4: Accepted. Paper 5: Manuscript.</p><p> </p>

The correlation between NMR chemical shifts of interstitial atoms and electronic structures of boron- and carbon-centered hexazirconium halide clusters was investigated by density functional theory (DFT) calculation. The influences of bridging halide and terminal ligand variations on electronic structure were examined respectively. Inverse proportionality was found between the chemical shifts and the calculated energy gaps between two Kohn-Sham orbitals of t1u symmetry, which arose from the bonding and antibonding interaction between the zirconium cage bonding orbitals and the interstitial 2p orbitals. Chemical shielding properties of the interstitial atoms were calculated with Gauge Including Atomic Orbital (GIAO) method. Stepwise ligand substitution of terminal chlorides on [(Zr6CCl12)Cl6]4-cluster by tri(n-butyl)-phosphine oxide (Bu3PO) was conducted with the aid of TlPF6. Composition of the reaction mixtures was analyzed by use of both 13C and 31P NMR. A preliminary scheme for synthesis and separation of [(Zr6CCl12)Cl6-x(Bu3PO)x]x-4 (x = 3 ?? 5) mixture based on solubility difference was reevaluated. Three 1,10-phenanthroline based bidentate ligands, namely, 2,9-Bis(diphenyl-phosphinyl)-1,10-phenanthroline, 2,9-Bis(diethoxyphosphoryl)-1,10-phenanthroline, and 2,9-Bis(di-n-butoxyphosphoryl)-1,10-phenantholine, were synthesized for bridge-chelating the hexazirconium clusters. Coordination chemistry of these ligands with the [Zr6BCl12] and [Zr6CCl12] clusters was subject to preliminary investigation.

Neste trabalho foram realizados estudos conformacionais de algumas lactonas sesquiterpenicas e cálculos teóricos de deslocamento químico. O estudo conformacional é dividido em tres etapas distintas. A primeira etapa se dá pela busca conformacional em mecânica molecular, onde foram encontradas as possíveis conformações assumidas pelo sistema em estudo. Na segunda etapa, as conformações encontradas foram otimizadas em mecânica quântica. O último passo neste estudo foi o cálculode deslocamento químico e a posterior correlação com os dados experimentais. / This work is aimed on the theoretical calculation of chemical shifts of sesquiterpene lactones, based on the conformational preferences of the compounds. This conformational study is set up in three stages. The first one is a conformational search using molecular mechanics, to assess the relevant conformations of the system under study. In the second stage, the conformations are optimized by quantum mechanics, for the refinement of both the structural assignment and energy calculation of the most stable conformers found in the previous step. The last step is the theoretical calculation of chemical shifts. Finally the weighted average of calculated values is compared to experimental data.

Ce travail présente une étude théorique des spectres RMN de molécules biologiques. Dans la première partie, les calculs DFT des paramètres RMN (déplacements chimiques et constantes de couplage spin-spin) pour les protons liés à des atomes de carbone ont été réalisés pour quatre métabolites de la prostate: la putrescine, la spermidine, la spermine, et la sarcosine, et trois métabolites du cerveau: l'acétate, l'alanine et la sérine. Une étude théorique systématique, dans l'approche DFT, des paramètres de RMN des métabolites a montré que la méthode B3LYP/6-311++G** est un bon compromis entre la précision et les coûts. Les contributions du solvant ont été évaluées en utilisant le modèle PCM, les effets des isomères, pondérés dans l’approximation de Boltzmann, ont été pris en compte, et les corrections de vibration de point zéro ont été estimées en utilisant une approche perturbative au second ordre. La comparaison avec l'expérience a démontré que tous ces effets sont nécessaires pour améliorer l'accord entre les données calculées et expérimentales, aboutissant à des résultats de grande précision. Dans la deuxième partie, nous avons développé un nouveau modèle, BioShift, qui permet la prédiction des déplacements chimiques des différents noyaux (H, N, C ...) pour des molécules biologiques (protéines, ADN, ARN, polyamine ...). Il est simple, rapide, et comporte un nombre limité de paramètres. La comparaison avec des modèles sophistiqués conçus spécialement pour la prédiction des déplacements chimiques des protéines a montré que Bioshift est concurrentiel avec de tels modèles. / The present work presents a theoretical study of the NMR spectra of biological molecules. In the first part, DFT calculations of the spin-Hamiltonian NMR parameters (chemical shifts and spin-spin coupling constants) for protons attached to carbon atoms have been performed for four prostate metabolites: putrescine, spermidine, spermine, and sarcosine, and three brain metabolites: acetate, alanine, and serine. A theoretical investigation, within the DFT approach, of the NMR parameters of metabolites has shown that the B3LYP/6-311++G** level of calculation is a good compromise between accuracy and costs. Contributions from solvent were evaluated using the PCM model, Boltzmann weighted isomer effects were calculated, and zero-point vibrational corrections were estimated using a second order perturbation approach. Comparison with experiment has demonstrated that all these effects are necessary to improve the agreement between calculated and experimental data. In the second part, we have presented a new model, BioShift, that allows the prediction of chemical shifts of different nuclei (H, N, C…) for biological molecules (proteins, DNA, RNA, polyamine …). It is simple, fast, and involves a limited number of parameters. Comparison with well-known sophisticated models designed especially for the prediction of chemical shifts of proteins showed that Bioshift is competitive with such models.

Neste trabalho foram estudados computacionalmente os [2.2]ciclofanos ([2.2]paraciclofano (1), anti-[2.2]metaciclofano (2a), sin-[2.2]metaciclofano (2b) e [2.2]metaparaciclofano (3)), que são os [2n]ciclofanos mais simples, contendo dois anéis fenílicos conectados por duas pontes etilênicas. Os ciclofanos têm apresentado inúmeras aplicações importantes, podendo atuar como auxiliares em sínteses assimétricas e como catalisadores que simulam funções enzimáticas, apresentando seletividade em relação aos substratos. Eles são empregados tanto em químicab supramolecular quanto em áreas biomédicas. Estudos que empregam ressonância de spin eletrônico ou que investigam propriedades ópticas não-lineares dos [2.2]ciclofanos indicam que os mesmos apresentam interações transanulares, que ocorrem através de recobrimento direto entre orbitais pertencentes a anéis diferentes, through-space, ou através de recobrimento entre orbitais dos anéis e das pontes, through-bond. As interações transanulares possuem um papel fundamental na química dos ciclofanos, alterando o comportamento reacional destes compostos e as transições espectroscópicas. Apesar dos métodos de preparação de ciclofanos, desde os mais simples aos mais complexos, serem intensamente investigados, estudos computacionais, que busquem compreender as correlações entre tensão e aromaticidade, estrutura eletrônica e o mecanismo de ocorrência das interações transanulares, são raramente encontrados na literatura. Desse modo, o objetivo deste trabalho foi estudar as interações transanulares, bem como correlacionar as diferenças estruturais, a tensão sobre anéis e pontes, cargas atômicas, aromaticidade e os deslocamentos químicos, não apenas para os isômeros dos [2.2]ciclofanos, mas também seus derivados fluorados (perfluoração de um dos anéis dos [2.2]ciclofanos), bem como avaliar os efeitos de diversos substituintes (CN, Cl, C=O, NH2 e NO2) e da protonação na estrutura eletrônica do isômero [2.2]paraciclofano. As otimizações de geometria de 1, realizadas com diferentes métodos e conjuntos de funções de base, mostraram que os modelos MP2/6-31+G(d,p) e B3PW91/6-31+G(d,p) fornecem os melhores resultados em comparação com os dados de raios-x. Buscas conformacionais mostraram que 2a e 2b são confôrmeros com energias diferentes e que 3 possui dois confôrmeros degenerados. As energias relativas e de tensão das pontes, seguiram a mesma ordem, indicando que a tensão sobre as pontes e a repulsão entre as nuvens ? dos anéis aromáticos são determinantes para a estabilidade dos [2.2]ciclofanos. As reações isodésmicas indicaram que os anéis comportam-se como absorvedores de tensão. NICS e HOMA mostraram que apesar das perdas de planaridade dos anéis a aromaticidade é mantida. O método NBO confirmou que todos os [2.2]ciclofanos apresentam interações through-bond, mas apenas 2a e 2b apresentaram interações through-space significantes. A análise AIM mostrou que as interações transanulares observadas são do tipo camada fechada (iônica ou ligação de hidrogênio) e que estabilizam os [2.2]ciclofanos. Para os derivados fluorados as principais alterações geométricas observadas foram para os diedros das pontes. As reações isodésmicas revelaram que as tensões das pontes e as energias relativas são afetadas pela fluoração. Além disso, os anéis dos isômeros fluorados absorvem mais tensão que os anéis dos isômeros não fluorados. NICS e HOMA mostraram que a substituição por flúor aumenta a aromaticidade dos [2.2]ciclofanos. A análise NBO indicou que a perfluoração aumentou o número e a intensidade das interações through-space, mas as mesmas ficaram restritas principalmente aos derivados fluorados de 2a e 2b. A mesma análise evidenciou que há uma conjugação dos pares de elétrons dos átomos de flúor com o sistema ?. Por outro lado, a análise AIM sugeriu que a substituição não aumenta o número de interações through-space, mas confirmou a conjugação dos pares de elétrons dos átomos de flúor. Os demais substituintes empregados afetam os parâmetros geométricos do [2.2]paraciclofano (1) de maneira diferenciada. A análise particionada das reações isodésmicas mostrou que as tensões nos anéis e nas pontes dependem não apenas do substituinte empregado, mas também da posição da substituição. NICS e HOMA indicaram que a aromaticidade no anel não-substituído dos derivados substituídos é maior que em 1. A análise NBO revelou que a substituição e a protonação aumentam a ocorrência de interações transanulares through-space. O método AIM indicou a presença de interações transanulares apenas para o derivado substituído com NH2 e CN e para a espécie protonada. No entanto, tais interações apresentaram características de interações de camada fechada. com pequenas estabilizações. As cargas atômicas e os deslocamentos químicos confirmaram as mudanças na densidade eletrônica, observadas através do método AIM. / In this work, the [2.2]cyclophanes ([2.2]paracyclophane (1), anti-[2.2]metacyclophane (2a), syn-[2.2]metacyclophane (2b) e [2.2]metaparacyclophane (3)), which are the simplest [2n] cyclophanes that contain two phenyl rings connected by two ethanediyl linkages, were studied computationally. Cyclophanes have presented several important applications, such as auxiliary in asymmetric synthesis, catalysts that simulate enzymatic functions, presenting selectivity in relation to the substrates. They are employed either in supramolecular chemistry or in biomedical areas. Studies that apply electron spin resonance or that investigate the non-linear optical properties of [2.2]cyclophanes, indicate that these compounds present transannular interactions, which occur through direct overlap of orbitals lying in different rings, throughspace, or through overlap between orbitals from rings and bridges, through-bond. The transannular interactions have a fundamental role in cyclophane chemistry, changing the reactional behavior of these compounds, and the spectroscopic transitions. Despite the fact that the well known methods of preparation, from the simplest to the most complex cyclophanes, have been studied intensively, computational studies that intent to comprehend the correlations between tension and aromaticity, electronic structure, and the mechanism of the transannular interactions are rarely found in the literature. Therefore, the aim of this work was not only to study the transannular interactions, correlating the structural differences, tension in rings and bridges, atomic charges, aromaticity, and chemical shifts of the [2.2]cyclophanes isomers but also to extent a similar treatment to the fluorinated derivatives. In addition, the effects of substituents such as (CN, Cl, C=O, NH2, and NO2) and the protonation on the electronic structure of [2.2]paracyclophane were also evaluated. The geometry optimizations of 1, carried out by using different methods and basis set, showed that the models MP2/6-31+G(d,p) and B3PW91/6-31+G(d,p) provide the best results in comparison with the x-ray data. Conformational searches showed that 2a and 2b are the conformers that present the same energy and the isomer 3 has two degenerated conformers. The strain energies of the bridges followed the same tendency as the relative energies, indicating that the tension on the bridges and the repulsions between the ? clouds of the aromatic rings are the key factors that determine the [2.2]cyclophane stabilities. The isodesmic reactions indicated that the rings are absorbents of tension. NICS and HOMA showed that the aromaticity of the rings is preserved despite the changes on the planarity. The NBO method confirmed that all [2.2]cyclophanes present through-bond interactions, but only 2a and 2b exhibit noteworthy through-space interactions. The AIM analysis pointed out that the transannular interactions behave as closed shell interactions (ionic or hydrogen bond), stabilizing the [2.2]cyclophanes. The main geometric changes, observed to the fluorinated derivatives, were those related with the dihedral angle of bridges. The isodesmic reactions pointed out that the tensions of bridges and the relative energies are affected by the fluorination. In addition, the fluorinated rings absorb more tension than the non-fluorinated rings. NICS and HOMA showed that the substitution by fluorine increases the aromaticity of the [2.2]cyclophanes. The NBO analysis indicated that the number of through-space interactions increase with the fluorination, but it is restrict to the derivatives of 2a and 2b. In addition, the same analysis pointed out a conjugation of the fluorine lone pairs with the ? system. On the other hand, the AIM analysis suggested that the substitution do not increase the number of through-space interactions, but confirmed the conjugation of the fluorine lone pairs. The other substituents can affect the geometric parameter of 1 noticeably. The partitioned analysis of isodesmic reactions showed that the tensions in bridges and rings not only depend on the substituents employed but also on the position of substitution. NICS and HOMA pointed out that the aromaticity is bigger in the non-substituted rings of [2.2]paracyclophane derivatives than in 1. The NBO analysis showed that the substitution and protonation increase the number of through-space interactions. AIM method indicated the transannular interactions occur only to the derivate substituted by NH2 and CN, and to the protonated specie. However, these interactions presented features of closed shell interactions with small stabilizations. The atomic charges and the chemical shifts confirmed the changes of the electronic density, observed through the AIM method.

Neste trabalho foram estudados computacionalmente os [2.2]ciclofanos ([2.2]paraciclofano (1), anti-[2.2]metaciclofano (2a), sin-[2.2]metaciclofano (2b) e [2.2]metaparaciclofano (3)), que são os [2n]ciclofanos mais simples, contendo dois anéis fenílicos conectados por duas pontes etilênicas. Os ciclofanos têm apresentado inúmeras aplicações importantes, podendo atuar como auxiliares em sínteses assimétricas e como catalisadores que simulam funções enzimáticas, apresentando seletividade em relação aos substratos. Eles são empregados tanto em químicab supramolecular quanto em áreas biomédicas. Estudos que empregam ressonância de spin eletrônico ou que investigam propriedades ópticas não-lineares dos [2.2]ciclofanos indicam que os mesmos apresentam interações transanulares, que ocorrem através de recobrimento direto entre orbitais pertencentes a anéis diferentes, through-space, ou através de recobrimento entre orbitais dos anéis e das pontes, through-bond. As interações transanulares possuem um papel fundamental na química dos ciclofanos, alterando o comportamento reacional destes compostos e as transições espectroscópicas. Apesar dos métodos de preparação de ciclofanos, desde os mais simples aos mais complexos, serem intensamente investigados, estudos computacionais, que busquem compreender as correlações entre tensão e aromaticidade, estrutura eletrônica e o mecanismo de ocorrência das interações transanulares, são raramente encontrados na literatura. Desse modo, o objetivo deste trabalho foi estudar as interações transanulares, bem como correlacionar as diferenças estruturais, a tensão sobre anéis e pontes, cargas atômicas, aromaticidade e os deslocamentos químicos, não apenas para os isômeros dos [2.2]ciclofanos, mas também seus derivados fluorados (perfluoração de um dos anéis dos [2.2]ciclofanos), bem como avaliar os efeitos de diversos substituintes (CN, Cl, C=O, NH2 e NO2) e da protonação na estrutura eletrônica do isômero [2.2]paraciclofano. As otimizações de geometria de 1, realizadas com diferentes métodos e conjuntos de funções de base, mostraram que os modelos MP2/6-31+G(d,p) e B3PW91/6-31+G(d,p) fornecem os melhores resultados em comparação com os dados de raios-x. Buscas conformacionais mostraram que 2a e 2b são confôrmeros com energias diferentes e que 3 possui dois confôrmeros degenerados. As energias relativas e de tensão das pontes, seguiram a mesma ordem, indicando que a tensão sobre as pontes e a repulsão entre as nuvens ? dos anéis aromáticos são determinantes para a estabilidade dos [2.2]ciclofanos. As reações isodésmicas indicaram que os anéis comportam-se como absorvedores de tensão. NICS e HOMA mostraram que apesar das perdas de planaridade dos anéis a aromaticidade é mantida. O método NBO confirmou que todos os [2.2]ciclofanos apresentam interações through-bond, mas apenas 2a e 2b apresentaram interações through-space significantes. A análise AIM mostrou que as interações transanulares observadas são do tipo camada fechada (iônica ou ligação de hidrogênio) e que estabilizam os [2.2]ciclofanos. Para os derivados fluorados as principais alterações geométricas observadas foram para os diedros das pontes. As reações isodésmicas revelaram que as tensões das pontes e as energias relativas são afetadas pela fluoração. Além disso, os anéis dos isômeros fluorados absorvem mais tensão que os anéis dos isômeros não fluorados. NICS e HOMA mostraram que a substituição por flúor aumenta a aromaticidade dos [2.2]ciclofanos. A análise NBO indicou que a perfluoração aumentou o número e a intensidade das interações through-space, mas as mesmas ficaram restritas principalmente aos derivados fluorados de 2a e 2b. A mesma análise evidenciou que há uma conjugação dos pares de elétrons dos átomos de flúor com o sistema ?. Por outro lado, a análise AIM sugeriu que a substituição não aumenta o número de interações through-space, mas confirmou a conjugação dos pares de elétrons dos átomos de flúor. Os demais substituintes empregados afetam os parâmetros geométricos do [2.2]paraciclofano (1) de maneira diferenciada. A análise particionada das reações isodésmicas mostrou que as tensões nos anéis e nas pontes dependem não apenas do substituinte empregado, mas também da posição da substituição. NICS e HOMA indicaram que a aromaticidade no anel não-substituído dos derivados substituídos é maior que em 1. A análise NBO revelou que a substituição e a protonação aumentam a ocorrência de interações transanulares through-space. O método AIM indicou a presença de interações transanulares apenas para o derivado substituído com NH2 e CN e para a espécie protonada. No entanto, tais interações apresentaram características de interações de camada fechada. com pequenas estabilizações. As cargas atômicas e os deslocamentos químicos confirmaram as mudanças na densidade eletrônica, observadas através do método AIM. / In this work, the [2.2]cyclophanes ([2.2]paracyclophane (1), anti-[2.2]metacyclophane (2a), syn-[2.2]metacyclophane (2b) e [2.2]metaparacyclophane (3)), which are the simplest [2n] cyclophanes that contain two phenyl rings connected by two ethanediyl linkages, were studied computationally. Cyclophanes have presented several important applications, such as auxiliary in asymmetric synthesis, catalysts that simulate enzymatic functions, presenting selectivity in relation to the substrates. They are employed either in supramolecular chemistry or in biomedical areas. Studies that apply electron spin resonance or that investigate the non-linear optical properties of [2.2]cyclophanes, indicate that these compounds present transannular interactions, which occur through direct overlap of orbitals lying in different rings, throughspace, or through overlap between orbitals from rings and bridges, through-bond. The transannular interactions have a fundamental role in cyclophane chemistry, changing the reactional behavior of these compounds, and the spectroscopic transitions. Despite the fact that the well known methods of preparation, from the simplest to the most complex cyclophanes, have been studied intensively, computational studies that intent to comprehend the correlations between tension and aromaticity, electronic structure, and the mechanism of the transannular interactions are rarely found in the literature. Therefore, the aim of this work was not only to study the transannular interactions, correlating the structural differences, tension in rings and bridges, atomic charges, aromaticity, and chemical shifts of the [2.2]cyclophanes isomers but also to extent a similar treatment to the fluorinated derivatives. In addition, the effects of substituents such as (CN, Cl, C=O, NH2, and NO2) and the protonation on the electronic structure of [2.2]paracyclophane were also evaluated. The geometry optimizations of 1, carried out by using different methods and basis set, showed that the models MP2/6-31+G(d,p) and B3PW91/6-31+G(d,p) provide the best results in comparison with the x-ray data. Conformational searches showed that 2a and 2b are the conformers that present the same energy and the isomer 3 has two degenerated conformers. The strain energies of the bridges followed the same tendency as the relative energies, indicating that the tension on the bridges and the repulsions between the ? clouds of the aromatic rings are the key factors that determine the [2.2]cyclophane stabilities. The isodesmic reactions indicated that the rings are absorbents of tension. NICS and HOMA showed that the aromaticity of the rings is preserved despite the changes on the planarity. The NBO method confirmed that all [2.2]cyclophanes present through-bond interactions, but only 2a and 2b exhibit noteworthy through-space interactions. The AIM analysis pointed out that the transannular interactions behave as closed shell interactions (ionic or hydrogen bond), stabilizing the [2.2]cyclophanes. The main geometric changes, observed to the fluorinated derivatives, were those related with the dihedral angle of bridges. The isodesmic reactions pointed out that the tensions of bridges and the relative energies are affected by the fluorination. In addition, the fluorinated rings absorb more tension than the non-fluorinated rings. NICS and HOMA showed that the substitution by fluorine increases the aromaticity of the [2.2]cyclophanes. The NBO analysis indicated that the number of through-space interactions increase with the fluorination, but it is restrict to the derivatives of 2a and 2b. In addition, the same analysis pointed out a conjugation of the fluorine lone pairs with the ? system. On the other hand, the AIM analysis suggested that the substitution do not increase the number of through-space interactions, but confirmed the conjugation of the fluorine lone pairs. The other substituents can affect the geometric parameter of 1 noticeably. The partitioned analysis of isodesmic reactions showed that the tensions in bridges and rings not only depend on the substituents employed but also on the position of substitution. NICS and HOMA pointed out that the aromaticity is bigger in the non-substituted rings of [2.2]paracyclophane derivatives than in 1. The NBO analysis showed that the substitution and protonation increase the number of through-space interactions. AIM method indicated the transannular interactions occur only to the derivate substituted by NH2 and CN, and to the protonated specie. However, these interactions presented features of closed shell interactions with small stabilizations. The atomic charges and the chemical shifts confirmed the changes of the electronic density, observed through the AIM method.