Ce travail contribue à mieux connaître et contraindre la minéralogie du plomb. L’incorporation du plomb dans des minéraux du manteau terrestre a été étudiée ; on observe que deux phases importantes du globe sont des candidates pour accueillir le plomb : la phase CAS dans les plaques en subduction et la phase pérovskite CaSiO3 troisième minéral majeur du manteau inférieur. D’autres minéraux du manteau supérieur ont été également étudiés pour une incorporation du plomb. Des calculs ab-initio ont été réalisés sur un composé simple de plomb, PbO2. Ces calculs permettent de mettre en évidence l’évolution de PbO2 à hautes pressions jusqu’à 130 GPa. La spéciation du plomb dans des minéraux naturels métamictes a aussi été explorée : cette étude de l’élément fils des éléments radioactifs U et Th, dans ces minéraux naturels permet de mieux contraindre l’immobilisation durable des déchets nucléaires / This work helps to better understand and constrain the mineralogy of lead. The incorporation of lead in mantle minerals has been studied, we observe that two important mineral phases of the globe are candidates to accommodate lead in their structures : the CAS phase present in subducted plates and the CaSiO3 perovskite which is the third major mineral phase of the Earth’s lower mantle. Other minerals present in the upper mantle have also been studied for the incorporation of lead. Ab-initio calculations have been performed on a simple compound of lead, PbO2. These calculations help to better constrain the evolution of PbO2 at high pressures up to 130 GPa. The speciation of lead in natural metamict minerals has also been explored : this study on lead the daughter product of radioactive U and Th in these minerals improves our knowledge of the long-term immobilization of nuclear wastes

Les molécules aromatiques protonées jouent un rôle important dans les réactions de substitution électrophile aromatique, et dans différents processus biologiques. Ces molécules sont présentes aussi dans d’autres milieux tels que les flammes de combustion, les plasmas de divers hydrocarbures, les ionosphères planétaires (Titan) et le milieu interstellaire. Les molécules protonées sont très stables car elles ont des couches électroniques complètes mais elles sont en général très sensibles à leur environnement local car elles sont chargées : une étude en phase gazeuse est nécessaire pour déterminer leurs propriétés intrinsèques. Jusqu’à présent, très peu de chose était connu sur les molécules protonées isolées en phase gazeuse, seulement quelques résultats étaient disponibles. Ce manque de données venait de la difficulté de générer des molécules protonées en phase gazeuse et surtout de les produire à basse température (la protonation est une réaction exothermique). Récemment, des progrès ont permis d’étudier les molécules protonées en phase gazeuse à très basse température, en particulier par le développement des sources ioniques couplées avec des techniques d'expansion de jet supersonique. Grâce à cette technique on a enregistré le spectre photo fragmentation de l’état fondamental vers le premier état excité (S1←S0) de différentes molécules aromatiques protonées en phase gazeuse. Les molécules que nous avons étudiées peuvent être regroupées en quatre familles : Les molécules polycycliques aromatiques protonées linéaires (benzène, naphtalène, anthracène, tétracène, pentacène). Les molécules polycycliques aromatiques protonées non linéaires (fluorène, phénanthrène, pyrène). Les molécules protonées contenant un hétéro atome (benzaldéhyde, salicylaldéhyde, 1-naphthol et 2-naphthol, indole, aniline). Les agrégats protonés (dimère de benzène, naphtalène (H2O)n, n=1,2,3. naphtalène (NH3)n, n=1,2,3, benzaldéhyde (Ar , N2)). Dans les spectres enregistrés presque toutes les transitions électroniques S1←S0 sont décalées vers le rouge (basse énergie) par rapport à celui des molécules parentes neutres. Ce décalage est dû au caractère transfert de charge du premier état excité. Certains spectres sont résolus vibrationnellement, alors que pour d'autres molécules le spectre ne présente pas de progression vibrationnelle à cause d’un dynamique très rapide de l’état excité menant par des intersections coniques à l’état fondamental. Les spectres d’absorption des molécules protonées sont plus riches en vibrations par comparaison avec les molécules neutre. Cela reflète le changement relativement important de géométrie de l’état excité dû à son caractère transfert de charge. Les résultats expérimentaux ont été complétés par des calculs ab-initio qui ont permis de localiser la transition électronique, déterminer la structure géométrique et électronique, les modes de vibration et, pour certaines de ces molécules, la dynamique de l’état excité. Les calculs sont en général en très bon accord avec les expériences. / Protonated aromatic molecules play an important role in electrophilic aromatic substitution reactions, fundamental reactions in organic chemistry and in various biological processes. The interstellar medium is another environment which is likely to contain the protonated aromatic molecules, that’s because these molecules are stable chemically since they are close shell electronic structure. These molecules were also identified in others environments such as combustion flames, plasmas of various hydrocarbons and the upper atmosphere of Titan. Protonated molecules are usually very sensitive to their local environment; a gas phase study is required to determine their intrinsic properties. Until now, very little is known about the isolated protonated molecules, only a few results are available in the literature. This lack of data is due to the difficulties of the production and the cooling of these molecules in gas phase. The technical progress we have done has enabled the study of protonated molecules in the gas phase at very low temperatures, using an ion sources, supersonic jet and the laser induced photofragmentation techniques. Using this technique, we have recorded many electronic spectra (S1←S0) of different protonated molecules. We can regroup the studied molecules into four: Linear protonated polycyclic aromatic molecules (benzene, naphthalene, anthracene, tetracene, pentacene). Nonlinear protonated polycyclic aromatic molecules (fluorene, phenanthrene, pyrene). Protonated molecules containing an hetero atom (benzaldehyde, salicylaldehyde, 1-naphthol and 2-naphthol, indole, aniline). Protonated cluster (dimer of benzene, naphthalene (H2O)n, n = 1,2,3. Naphthalene (NH3)n, n = 1,2,3, benzaldehyde (Ar, N2)). Most of those spectra are red-shifted compare to the spectrums of neutral parent molecules. This red-shift is due to charge transfer character of the first excited state. Some spectra are vibrationally resolved, while for other molecules the spectrum do not shows any vibrational progression. This behaviour is explained by the dynamic of the excited state, this dynamic being usually is very fast, sometimes leading to the ground state through a conical intersection. The spectra of protonated molecules are very active vibrationally in comparison with neutral molecules, many vibrational modes forbidden for neutral molecule becomes active for the protonated one (Franck-Condon factor is not zero). This is reflecting the charge transfer character of the excited state. The experimental results were complemented by ab-initio calculations, which have allowed determining the electronic transition, the geometric and electronic structure of the molecule, the vibrational modes, and for some of these molecules the dynamics of excited state. Calculations are generally in very good agreement with experiments.

Mass-selected infrared multiple photon spectroscopy (IRMPD), Fourier transform ion cyclotron resonance (FT-ICR) kinetic experiments, RRKM and electronic structure calculations have been performed in order to propose a complex mechanism involving the formation of the proton-bound dimer of water (H5O2+) from 1,1,3,3-tetrafluorodimethyl ether. It has been found that the reaction is facilitated by a series of sequential exothermic bimolecular ion-molecule reactions. Evidence for the dominant mechanistic pathway involving the reaction of CF2H-O=CHF+, an ion of m/z 99, with water is presented. The primary channel occurs via nucleophilic attack of water on the ion of m/z 99 (CF2H-O=CHF+), to lose formyl fluoride and yield protonated difluoromethanol (m/z 69). Association of a second water molecule with protonated difluoromethanol generates a reactive intermediate which decomposes via a 1,4-elimination to release hydrogen fluoride and yield the proton-bound dimer of water and formyl fluoride (m/z 67). The 1,4-elimination of hydrogen fluoride is found to be strongly supported by the results of both RRKM theory and electronic structure calculations. Lastly, the elimination of formyl fluoride occurs by the association of a third water molecule to produce H5O2+ (m/z 37). The most probable isomeric forms of the ions with m/z 99 and 69 were found using IRMPD spectroscopy and electronic structure theory calculations. Thermochemical information for reactant, transition and product species was obtained using MP2/aug-cc-pVQZ//MP2(full)/6-31G(d) level of theory. Ionic hydrogen bond (IHB) interactions, resulting from the association of ammonia and two of the protonated methylxanthine derivatives, caffeine and theophylline, have been characterized using mass-selected IRMPD and electronic structure calculations at the MP2/aug-cc-pVTZ//B3LYP/6-311+G(d,p) level of theory. It was found that the formation of a proton-bound dimer (PBD) of caffeine and ammonia was elusive under the experimental conditions. The low binding energy of the caffeine and ammonia PBD is responsible for the perceived difficulty in obtaining an IRMPD spectrum. The IRMPD spectrum of the PBD of theophylline and ammonia was obtained and revealed bidentate IHB formation within the complex, which greatly increased the binding energy relative to the most stable isomer of the PBD of caffeine and ammonia. The IRMPD spectra of the protonated forms of caffeine and theophylline have also obtained. The spectrum of protonated caffeine showed the dominant existence of a single isomer, whereas the spectrum of protonated theophylline showed a mixture of isomers. The mixture of isomers of protonated theophylline resulted as a consequence of proton-transport catalysis (PTC) occurring within the PBD of theophylline and ammonia. All calculated harmonic spectra have been produced at the B3LYP/6-311+G(d,p) level of theory with fundamental frequencies scaled by 0.9679; calculated anharmonic spectra have also been provided at the same level of theory and were found to greatly improve the match with the IRMPD spectra obtained in all cases. Ionic hydrogen bond (IHB) interactions, resulting from the association of caffeine and theophylline with their protonated counterparts, forming proton-bound homodimers, have been characterized using mass-selected IRMPD and electronic structure calculations at the MP2/6-311+G(2d,2p)//B3LYP/6-311+G(d,p) level of theory. It is found that the IRMPD spectra of the proton-bound homodimers of caffeine and theophylline are complicated resulting from the existence of several pairs of enantiomers separated by a narrow range of relative Gibbs free energies (298 K) of 15.6 and 18.2 kJ mol-1, respectively. The IRMPD spectrum of the proton-bound homodimer of theophylline is dominated by a unique isomer facilitated by formation of a bidentate IHB. Formation of this interaction lowers the relative Gibbs free energy of the ion to 9.75 kJ mol-1 below that of the most favourable pair of enantiomers. The IRMPD spectrum of the PBD of caffeine is complicated by the existence of at least two pairs of enantiomers with the strong likelihood of the spectral contributions of a third pair existing. The most favourable enantiomeric pair involves the formation of a O-H+⋯O IHB. However, verification of a pair of enantiomeric PBDs containing a N-H+⋯O IHB is also observed in the IRMPD spectrum of the PBD of caffeine due to the presence of three free carbonyl stretching modes located at 1731, 1751 and 1785 cm-1. The mass-selected IRMPD spectra of the sodium cation-bound dimers (SCBD) of caffeine and theophylline also have been obtained. Both the mass-selected IRMPD spectra and electronic structure calculations predict the most likely structure of the SCBDs of caffeine and theophylline to form by an efficient O⋯Na+⋯O interaction between C=O functional groups possessed by each monomer. The frequencies of the C=O-Na+ stretch are found to be nearly identical in the IRMPD spectra for both of the SCBDs of caffeine and theophylline at 1644 and 1646 cm-1, respectively. However, the degenerate free C=O symmetric and asymmetric stretches for the SCBDs of caffeine and theophylline found at 1732 and 1758 cm^(-1), respectively, demonstrating a red-shift for caffeine possibly linked to a steric interaction absent in theophylline. Free rotation about the O⋯Na+⋯O bond is found to greatly decrease the complexity of the IRMPD spectra of the SCBDs of caffeine and theophylline and demonstrates excellent agreement between the IRMPD and calculated spectra. Electronic structure calculations have been done at the MP2(full)/aug-cc-pCVTZ/6-311+G(2d,2p)//B3LYP/6-311+G(d,p) level of theory using the aug-cc-pCVTZ basis set for Na+ and all Na+-interacting heterotatoms, and the 6-311+G(2d,2p) basis set for all non-interacting atoms within the SCBDs, in order to provide accurate electronic energies. Currently, installation and implementation of a pulsed electrospray high pressure ion source mated to an existing high pressure mass spectrometer (HPMS) is underway. The new ion source will greatly increase the range of possibilities for the study of ion-molecule reactions in the McMahon laboratory. One of the unique features of the new design is the incorporation of a gas-tight electrospray interface, allowing for more possibilities than only the study of cluster-ion equilibria involving hydration (H2On⋯S+), where S+ is an ion produced by electrospray. Other small prototypical biological molecules such as amines and thiols can be used without concern for the toxicity of these species. Another unique design feature allows electrosprayed ions to associate with neutral solvent species in an electric field free reaction chamber (RC). This ensures that values of equilibrium constants determined are truly representative of ions in states of thermochemical equilibrium. The existing HPMS in the McMahon laboratory is limited to the study of small volatile organic molecules. The new ion source will permit the exploration of systems involving non-volatile species, doubly charged ions and many biologically relevant molecules such as amino acids, peptides, nucleobases and carbohydrates.

Mass-selected infrared multiple photon spectroscopy (IRMPD), Fourier transform ion cyclotron resonance (FT-ICR) kinetic experiments, RRKM and electronic structure calculations have been performed in order to propose a complex mechanism involving the formation of the proton-bound dimer of water (H5O2+) from 1,1,3,3-tetrafluorodimethyl ether. It has been found that the reaction is facilitated by a series of sequential exothermic bimolecular ion-molecule reactions. Evidence for the dominant mechanistic pathway involving the reaction of CF2H-O=CHF+, an ion of m/z 99, with water is presented. The primary channel occurs via nucleophilic attack of water on the ion of m/z 99 (CF2H-O=CHF+), to lose formyl fluoride and yield protonated difluoromethanol (m/z 69). Association of a second water molecule with protonated difluoromethanol generates a reactive intermediate which decomposes via a 1,4-elimination to release hydrogen fluoride and yield the proton-bound dimer of water and formyl fluoride (m/z 67). The 1,4-elimination of hydrogen fluoride is found to be strongly supported by the results of both RRKM theory and electronic structure calculations. Lastly, the elimination of formyl fluoride occurs by the association of a third water molecule to produce H5O2+ (m/z 37). The most probable isomeric forms of the ions with m/z 99 and 69 were found using IRMPD spectroscopy and electronic structure theory calculations. Thermochemical information for reactant, transition and product species was obtained using MP2/aug-cc-pVQZ//MP2(full)/6-31G(d) level of theory. Ionic hydrogen bond (IHB) interactions, resulting from the association of ammonia and two of the protonated methylxanthine derivatives, caffeine and theophylline, have been characterized using mass-selected IRMPD and electronic structure calculations at the MP2/aug-cc-pVTZ//B3LYP/6-311+G(d,p) level of theory. It was found that the formation of a proton-bound dimer (PBD) of caffeine and ammonia was elusive under the experimental conditions. The low binding energy of the caffeine and ammonia PBD is responsible for the perceived difficulty in obtaining an IRMPD spectrum. The IRMPD spectrum of the PBD of theophylline and ammonia was obtained and revealed bidentate IHB formation within the complex, which greatly increased the binding energy relative to the most stable isomer of the PBD of caffeine and ammonia. The IRMPD spectra of the protonated forms of caffeine and theophylline have also obtained. The spectrum of protonated caffeine showed the dominant existence of a single isomer, whereas the spectrum of protonated theophylline showed a mixture of isomers. The mixture of isomers of protonated theophylline resulted as a consequence of proton-transport catalysis (PTC) occurring within the PBD of theophylline and ammonia. All calculated harmonic spectra have been produced at the B3LYP/6-311+G(d,p) level of theory with fundamental frequencies scaled by 0.9679; calculated anharmonic spectra have also been provided at the same level of theory and were found to greatly improve the match with the IRMPD spectra obtained in all cases. Ionic hydrogen bond (IHB) interactions, resulting from the association of caffeine and theophylline with their protonated counterparts, forming proton-bound homodimers, have been characterized using mass-selected IRMPD and electronic structure calculations at the MP2/6-311+G(2d,2p)//B3LYP/6-311+G(d,p) level of theory. It is found that the IRMPD spectra of the proton-bound homodimers of caffeine and theophylline are complicated resulting from the existence of several pairs of enantiomers separated by a narrow range of relative Gibbs free energies (298 K) of 15.6 and 18.2 kJ mol-1, respectively. The IRMPD spectrum of the proton-bound homodimer of theophylline is dominated by a unique isomer facilitated by formation of a bidentate IHB. Formation of this interaction lowers the relative Gibbs free energy of the ion to 9.75 kJ mol-1 below that of the most favourable pair of enantiomers. The IRMPD spectrum of the PBD of caffeine is complicated by the existence of at least two pairs of enantiomers with the strong likelihood of the spectral contributions of a third pair existing. The most favourable enantiomeric pair involves the formation of a O-H+⋯O IHB. However, verification of a pair of enantiomeric PBDs containing a N-H+⋯O IHB is also observed in the IRMPD spectrum of the PBD of caffeine due to the presence of three free carbonyl stretching modes located at 1731, 1751 and 1785 cm-1. The mass-selected IRMPD spectra of the sodium cation-bound dimers (SCBD) of caffeine and theophylline also have been obtained. Both the mass-selected IRMPD spectra and electronic structure calculations predict the most likely structure of the SCBDs of caffeine and theophylline to form by an efficient O⋯Na+⋯O interaction between C=O functional groups possessed by each monomer. The frequencies of the C=O-Na+ stretch are found to be nearly identical in the IRMPD spectra for both of the SCBDs of caffeine and theophylline at 1644 and 1646 cm-1, respectively. However, the degenerate free C=O symmetric and asymmetric stretches for the SCBDs of caffeine and theophylline found at 1732 and 1758 cm^(-1), respectively, demonstrating a red-shift for caffeine possibly linked to a steric interaction absent in theophylline. Free rotation about the O⋯Na+⋯O bond is found to greatly decrease the complexity of the IRMPD spectra of the SCBDs of caffeine and theophylline and demonstrates excellent agreement between the IRMPD and calculated spectra. Electronic structure calculations have been done at the MP2(full)/aug-cc-pCVTZ/6-311+G(2d,2p)//B3LYP/6-311+G(d,p) level of theory using the aug-cc-pCVTZ basis set for Na+ and all Na+-interacting heterotatoms, and the 6-311+G(2d,2p) basis set for all non-interacting atoms within the SCBDs, in order to provide accurate electronic energies. Currently, installation and implementation of a pulsed electrospray high pressure ion source mated to an existing high pressure mass spectrometer (HPMS) is underway. The new ion source will greatly increase the range of possibilities for the study of ion-molecule reactions in the McMahon laboratory. One of the unique features of the new design is the incorporation of a gas-tight electrospray interface, allowing for more possibilities than only the study of cluster-ion equilibria involving hydration (H2On⋯S+), where S+ is an ion produced by electrospray. Other small prototypical biological molecules such as amines and thiols can be used without concern for the toxicity of these species. Another unique design feature allows electrosprayed ions to associate with neutral solvent species in an electric field free reaction chamber (RC). This ensures that values of equilibrium constants determined are truly representative of ions in states of thermochemical equilibrium. The existing HPMS in the McMahon laboratory is limited to the study of small volatile organic molecules. The new ion source will permit the exploration of systems involving non-volatile species, doubly charged ions and many biologically relevant molecules such as amino acids, peptides, nucleobases and carbohydrates.

Στην εργασία αυτή μελετάμε μια σειρά από αντιπροσωπευτικά νανοφασικά συστήματα πυριτίου, στο πλαίσιο κοινών ιδιοτήτων και αρχών που θα βοηθήσουν σε μελλοντικές εφαρμογές σχεδιασμού μοριακών υλικών βασισμένων σε αυτά τα συστήματα. Οι κατηγορίες των συστημάτων με τα οποία ασχολούμαστε είναι (α) υδρογονωμένα και μη-υδρογονωμένα νανοσυσσωματώματα και νανοκρυσταλλικά συστήματα πυριτίου με ή χωρίς ενσωματωμένα μέταλλα μετάπτωσης, που αποτελούν χαρακτηριστικά μοντέλα ενδοεπιφάνειας μετάλλου−ημιαγωγού, (β) υπέρλεπτα υδρογονωμένα νανοσύρματα πυριτίου και (γ) οργανομεταλλικά πολλαπλών στρώσεων (multidecker-sandwiches) πυριτίου−άνθρακα. Εκτός από τη μελέτη των δομικών, ηλεκτρονικών, οπτικών, δονητικών και μαγνητικών ιδιοτήτων των συστημάτων, εστιάζουμε στην αναζήτηση μηχανισμών σταθεροποίησης και την εύρεση και καθορισμό κανόνων που μπορούν να λειτουργήσουν ως «εργαλεία μοριακού σχεδιασμού» με τη γενικότερη δυνατή ισχύ. Τα συσσωματώματα πυριτίου σταθεροποιούνται μέσου των μετάλλων μετάπτωσης σε δομές κλωβού και χαρακτηρίζονται συχνά από υψηλή συμμετρία και μεγάλα ενεργειακά χάσματα, ιδιότητες επιθυμητές για εφαρμογές στην οπτοηλεκτρονική και νανοηλεκτρονική. Στη μελέτη των νανοσυρμάτων πυριτίου συγκρίνουμε την σταθερότητα μεταξύ νανοσυρμάτων με διαφορετικές επιφανειακές δομές ενώ διατυπώνουμε κανόνα «μαγικότητας» νανοσυρμάτων με τον οποίο ερμηνεύουμε την σταθερότητά τους και την συνδέουμε με την ελαστικότητα και την κατανομή υδρογόνου στην επιφάνεια τους. Τέλος, βασιζόμενοι στην ισολοβική αρχή the boron connection, σχεδιάζουμε και μελετάμε μια νέα κατηγορία νανοδομών τύπου multidecker sandwiches οργανοπυριτίου. Στη διάρκεια εκπόνησης αυτής της διατριβής δημοσιεύτηκαν συνολικά 19 εργασίες σε διεθνή περιοδικά και σε πρακτικά συνεδρίων. / In this work we study a series of representative nanoscale systems based on silicon, in the context of common properties and principles which will assist in future applications in designing molecular materials based on these systems. The categories of the systems which we work on are (a) hydrogenated and non-hydrogenated silicon nanoclusters and nanocrystallic systems with or without embedded transition metals, which constitute models of metal−semiconductor interfaces, (b) ultrathin hydrogenated silicon nanowires and (c) organometallic silicon−carbon multidecker-sandwiches. In addition to the study of structural, electronic, optical, vibrational and magnetic properties of these systems, we focus on a search for stabilizing mechanisms and in finding and defining rules that can function as “molecular designing tools” with the broadest possible validity. The silicon nanoclusters are stabilized to cage-like structures by the insertion of transition metals and are characterized by high symmetry and large energy gaps, desirable properties for applications in optoelectronics and nanoelectronics. In the study of silicon nanowires we compare the stability between nanowires with different surface structures while we formulate “magicity” rules for nanowires with which we interpret their stability and associate it with their elasticity and the distribution of the surface hydrogen. Finally, based on the isolobal principle the boron connection, we design and study a new class of organometallic multidecker-sandwich type nanostructures. During the elaboration of this dissertation we published overall 19 papers in international scientific journals and conferences’ proceedings.

In this work, we theoretically study the properties of diatomic molecular systems, their dynamics, and the control thereof through the use of laser fields. We more specifically study three compounds:<p>1) HeH+, a species of great astrochemical importance which is thought to be the first molecular species to have formed in the universe;<p>2) CO2+, a metastable dication of particular interest in quantum control experiments due to its long-lived lowest vibrational level;<p>3) 41K87Rb, a polar molecule that can be formed at very low temperature and trapped, making it a good candidate for quantum computing schemes.<p>First, we use ab initio methods to compute accurate potential energy curves for the lowest singlet and triplet states of HeH+ as well as the potential energy curves, transition dipole moments and nonadiabatic radial couplings of the ground 3Π state of CO2+ and of its 11 lowest 3Σ- states.<p>In a second step, we use this ab initio data to compute the photodissociation and radiative association cross sections for the a and b 3Σ+ states of HeH+, as well as the values of the corresponding rate constants for astrophysical environments. The photodissociation cross sections from the lowest vibrational level of CO2+ is also determined.<p>Going one step further, we optimize laser control fields that drive the photodissociation dynamics of HeH+ and CO2+ towards specific channels. We compare two field optimization methods: a Møller operator-based Local Control approach and Optimal Control Theory. In both cases, we add a constraint that minimizes the area of the optimized fields.<p>Finally, we focus on one of the potential applications of high-fidelity laser control: the use of small molecular systems as quantum computers. We more specifically study the potential implementation of both intra- and intermolecular logic gates on data encoded in hyperfine states of trapped ultracold polar 41K87Rb molecules, opening interesting perspectives in terms of extensibility.<p>/<p>Dans cette thèse, nous étudions théoriquement les propriétés de molécules diatomiques, leur dynamique de réaction ainsi que le contrôle de cette dynamique à l'aide de champs laser. Notre travail porte plus spécifiquement sur trois espèces :<p>1) HeH+, un composé-clé en astrochimie considéré comme la première espèce moléculaire qui s'est formée dans l'univers ;<p>2) CO2+, un dication métastable qui se prête bien à des expériences de contrôle quantique en raison du relativement long temps de vie de son état vibrationnel le plus bas ;<p>3) 41K87Rb, une molécule polaire qui présente la particularité de pouvoir être formée à très basse température et piégée, ce qui en fait un bon support physique potentiel pour la réalisation d'un ordinateur quantique moléculaire. <p>Nous utilisons tout d'abord des méthodes de calcul ab initio afin d'obtenir les courbes d'énergie potentielle des premiers états singulets et triplets de HeH+ avec un haut de degré de précision, ainsi que les courbes d'énergie potentielle, les moments dipolaires de transition et les couplages non-adiabatiques radiaux de l'état fondamental 3Π de CO2+ et de ses 11 premiers états 3Σ-.<p>Ensuite, nous utilisons ces données ab initio pour calculer les sections efficaces de photodissociation et d'association radiative des états a et b 3Σ+ de HeH+, ainsi que les constantes cinétiques associées à ces processus dans les conditions rencontrées dans des environnements astrophysiques. Les sections efficaces de photodissociation du niveau vibrationnel le plus bas de CO2+ sont également calculées. <p>Nous allons ensuite un cran plus loin en optimisant des champs laser qui guident la dynamique de photodissociation de HeH+ et CO2+ vers des canaux de dissociation spécifiques. Nous comparons deux méthodes d'optimisation de ces champs: une approche de contrôle local basée sur les opérateurs de Møller et la théorie du contrôle optimal. Dans le deux cas, nous incluons une contrainte qui minimise l'aire des champs. <p>Enfin, nous nous concentrons sur l'une des applications possibles du contrôle laser à haute fidélité :l'utilisation de petits systèmes moléculaires comme ordinateurs quantiques. Nous étudions plus spécifiquement l'implémentation possible d'opérations logiques intra- et intermoléculaires sur des données encodées dans des états hyperfins de molécules de 41K87Rb piégées, ce qui ouvre des perspectives intéressantes en terme d'extensibilité. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

<p> Radical species are essential in modern chemistry. In addition to fundamental chemistry, their unique chemical bonding and distinct physicochemical features serve critical functions in materials science in the form of organic electronics. Due to their high reactivity, radicals of the main group element are often transient. In recent years, remarkably stable radicals are often stabilized by π-delocalization, sterically demanding side groups, carbenes, and weakly coordinating anions. The impacts of modifications such as electron-donating, electron-withdrawing, and end-capping on the spin density distribution and thermodynamic and kinetic stability of archetypal radical-driven processes such as dimerization are not well understood. This dissertation aims to track the perturbation of spin density from EDG and EWG modifications, provide mechanistic insight into the radical-initiated reactions of conjugated radical cations, and establish correlations between molecular design and thermochemical properties and their resulting kinetic stability by computationally evaluating these characteristics against experimental data. The disclosed connections give useful new recommendations for the rational design of thermodynamically and kinetically stable novel materials.</p>

In dieser Dissertation werden ab initio Theorien zur Beschreibung der Zustände von perfekten halbleitenden und nichtleitenden Kristallen, unter Berücksichtigung elektronischer Korrelationen, abgeleitet und angewandt. Als Ausgangsbasis dient hierzu die Hartree-Fock Approximation in Verbindung mit Wannier-Orbitalen. Darauf aufbauend studiere ich zunächst in Teil I der Abhandlung den Grundzustand der wasserstoffbrückengebundenen Fluorwasserstoff und Chlorwasserstoff zick-zack Ketten und analysiere die langreichweitigen Korrelationsbeiträge. Dabei mache ich die Basissatzextrapolationstechniken, die für kleine Moleküle entwickelt wurden, zur Berechnung von hochgenauen Bindungsenergien von Kristallen nutzbar. In Teil II der Arbeit leite ich zunächst eine quantenfeldtheoretische ab initio Beschreibung von Elektroneneinfangzuständen und Lochzuständen in Kristallen her. Grundlage hierbei ist das etablierte algebraische diagrammatische Konstruktionsschema (ADC) zur Approximation der Selbstenergie für die Bestimmung der Vielteilchen-Green's-Funktion mittels der Dyson-Gleichung. Die volle Translationssymmetrie des Problems wird hierbei beachtet und die Lokalität elektronischer Korrelationen ausgenutzt. Das resultierende Schema wird Kristallorbital-ADC (CO-ADC) genannt. Ich berechne damit die Quasiteilchenbandstruktur einer Fluorwasserstoffkette und eines Lithiumfluoridkristalls. In beiden Fällen erhalte ich eine sehr gute Übereinstimmung zwischen meinen Resultaten und den Ergebnissen aus anderen Methoden. / In this dissertation, theories for the ab initio description of the states of perfect semiconducting and insulating crystals are derived and applied. Electron correlations are treated thoroughly based on the Hartree-Fock approximation formulated in terms of Wannier orbitals. In part I of the treatise, I study the ground state of hydrogen-bonded hydrogen fluoride and hydrogen chloride zig-zag chains. I analyse the long-range contributions of electron correlations. Thereby, I employ basis set extrapolation techniques, which have originally been developed for small molecules, to also obtain highly accurate binding energies of crystals. In part II of the thesis, I devise an ab initio description of the electron attachment and electron removal states of crystals using methods of quantum field theory. I harness the well-established algebraic diagrammatic construction scheme (ADC) to approximate the self-energy, used in conjunction with the Dyson equation, to determine the many-particle Green's function for crystals. Thereby, the translational symmetry of the problem and the locality of electron correlations are fully exploited. The resulting scheme is termed crystal orbital ADC (CO-ADC). It is applied to obtain the quasiparticle band structure of a hydrogen fluoride chain and a lithium fluoride crystal. In both cases, a very good agreement of my results to those determined with other methods is observed.

Die Elemente Al, Mg und Zn sind wichtige Komponenten für leichte und hochfeste Legierungen, wie die Al- oder Mg-Knetlegierungen. Darüber hinaus ist das Al-Mg-Zn-System sehr interessant, weil vier ternäre komplexe intermetallische Phasen, genannt τ1, τ2, Φ und q, darin vorkommen. Die aktuellen experimentellen Phasendiagramme des Al-Mg-Zn-Systems enthalten nur provisorische oder keine Homogenitätsbereiche der Φ-, τ2- und der q-Phase aufgrund unzureichender experimenteller Daten. Ziel der Arbeiten war es, die Homogenitätsbereiche der q-, τ2- und der Φ-Phase neu zu ermitteln und die Kristallstruktur der Φ-Phase zu bestimmen. Proben wurden durch Schmelzen und Wärmebehandlung in Ta-Ampullen oder durch Zentrifugieren aus der Schmelze hergestellt und durch XRD, SEM, EDXS, WDXS und DSC charakterisiert. Während der Neuuntersuchung der Al-Mg-Zn Phasengleichgewichte in der Nähe des Teilsystems Mg-Zn und nahe bei τ1 wurde eine Reihe von neuen ternären Phasen entdeckt. Die Kristallstrukturen für die Φ-Phase (Pbcm, a = 8,9374 (2) Å, b = 16,812 (3) Å, c = 19,586 (4) a) und drei der neuen intermetallischen Verbindungen wurden gelöst und die Kristallstruktur des τ2 Phase wurde erneut untersucht. Während τ2 (Pa-3, a = 23,034 (3) Å) ein Approximant der ikosaedrischen quasikristallinen Phase q ist, erwies sich eine der neuen Phasen (τd, Imm2, a = 5,2546 (2), b = 40,240 (2), c = 25,669 (1) Å) als dekagonaler Approximant. Überraschenderweise wurde eine Phase (Fd-3m, a = 27,5937 (9) Å) gefunden, die isotyp zu der binären Phase β-Al3Mg2 ist, aber eine Zn-reiche Zusammensetzung hat. / The elements Al, Mg and Zn are major components for a large number of light and high strength alloys, such as the Al-based alloys of the 7xxx series. In addition, the Al-Mg-Zn system has attracted much interest because four complex metallic alloy phases, called τ1, τ2, Φ and q are formed as ternary intermetallic compounds. The current experimental phase diagrams of the Al-Mg-Zn system contain only provisional or no homogeneity ranges of the Φ phase, τ2 phase and the q phase due to insufficient experimental data. The aim of the work was to redetermine the homogeneity ranges of the q, τ2 and the Φ phases and to determine the crystal structure of the Φ phase for a reliable data set. Samples were prepared by furnace-controlled melting and annealing in Ta ampoules or by centrifugation from the self-flux and characterized by XRD, SEM, EDXS, WDXS and DSC. While reinvestigating the Al-Mg-Zn phase equilibria in the vicinity of the subsystem Mg-Zn close to τ1, a number of new ternary phases were discovered. Single phase material could be obtained for the known Φ and τ2 phases and for four new intermetallic compounds. The crystal structures for the Φ phase and two of the new intermetallic compounds were solved and the crystal structure of the τ2 phase was reinvestigated. While τ2 (Pa-3, a = 23.034(3) Å) is an approximant of the icosahedral quasicrystalline phase q, the Φ phase (Pbcm, a = 8.9374(2) Å, b = 16.812(3) Å, c = 19.586(4) Å) and one of the new phases (Imm2, a = 5.2546(2), b = 40.240(2), c = 25.669(1) Å) turned out to be decagonal approximants. Surprisingly, we have found one phase (Fd-3m, a = 27.5937 (9) Å) isotypic to the Samson’s phase β-Al3Mg2 at Zn rich composition.

Die Elemente Al, Mg und Zn sind wichtige Komponenten für leichte und hochfeste Legierungen, wie die Al- oder Mg-Knetlegierungen. Darüber hinaus ist das Al-Mg-Zn-System sehr interessant, weil vier ternäre komplexe intermetallische Phasen, genannt τ1, τ2, Φ und q, darin vorkommen. Die aktuellen experimentellen Phasendiagramme des Al-Mg-Zn-Systems enthalten nur provisorische oder keine Homogenitätsbereiche der Φ-, τ2- und der q-Phase aufgrund unzureichender experimenteller Daten. Ziel der Arbeiten war es, die Homogenitätsbereiche der q-, τ2- und der Φ-Phase neu zu ermitteln und die Kristallstruktur der Φ-Phase zu bestimmen. Proben wurden durch Schmelzen und Wärmebehandlung in Ta-Ampullen oder durch Zentrifugieren aus der Schmelze hergestellt und durch XRD, SEM, EDXS, WDXS und DSC charakterisiert. Während der Neuuntersuchung der Al-Mg-Zn Phasengleichgewichte in der Nähe des Teilsystems Mg-Zn und nahe bei τ1 wurde eine Reihe von neuen ternären Phasen entdeckt. Die Kristallstrukturen für die Φ-Phase (Pbcm, a = 8,9374 (2) Å, b = 16,812 (3) Å, c = 19,586 (4) a) und drei der neuen intermetallischen Verbindungen wurden gelöst und die Kristallstruktur des τ2 Phase wurde erneut untersucht. Während τ2 (Pa-3, a = 23,034 (3) Å) ein Approximant der ikosaedrischen quasikristallinen Phase q ist, erwies sich eine der neuen Phasen (τd, Imm2, a = 5,2546 (2), b = 40,240 (2), c = 25,669 (1) Å) als dekagonaler Approximant. Überraschenderweise wurde eine Phase (Fd-3m, a = 27,5937 (9) Å) gefunden, die isotyp zu der binären Phase β-Al3Mg2 ist, aber eine Zn-reiche Zusammensetzung hat.:1 Einleitung 1 2 Grundlagen 5 2.1 Frank-Kasper-Phasen und tetraedrisch dicht gepackte Strukturen 5 2.2 Parkettierungen, Quasikristalle and Approximanten 11 2.3 Phasendiagramme und Phasen des Al-Mg-Zn Systems 16 3 Experimentelle Methoden und Theoretische Berechnungen 24 3.1 Ausgangsstoffe 24 3.2 Präparation der Proben 24 3.2.1 Schmelzspinnen 25 3.2.2 Schmelzzentrifugation 26 3.2.3 Abkühlvarianten 26 3.3 Charakterisierung der Legierungen 27 3.3.1 Chemische Analysen 27 3.3.2 Metallografie, Röntgenspektroskopie, Elektronenbeugung 28 3.3.3 DSC- und Massendichtemessungen, Messungen des elektrischen Widerstands 29 3.3.4 Pulver-Röntgendiffraktion und Pulver-Neutronendiffraktion 29 3.3.5 Einkristall-Röntgendiffraktion 30 3.4 Theoretische Berechnungen 31 3.4.1 Berechnungen der elektronischen Struktur 31 3.4.2 Gesamtenergieberechnungen 31 3.4.3 Calphad-Berechnungen und DTA-Simulation 32 4 Ergebnisse 34 4.1 Die Phi-Phase 34 4.1.1 Phasenanalyse 35 4.1.2 Physikalische Eigenschaften 44 4.1.3 Kristallchemie 45 4.1.4 Ergebnisse der Gesamtenergieberechnungen, DOS 57 4.2 Die tau-2-Phase 59 4.2.1 Phasenanalyse 60 4.2.2 Strukturmodellierung mit kanonischen Zell-Parkettierungen 73 4.2.3 Strukturverfeinerung 77 4.2.4 Kristallchemie 83 4.2.5 Ergebnisse der Gesamtenergieberechnungen 88 4.3 Primäre Phasenfelder der Mg-reichen Seite des Al-Mg-Zn Systems und die q-Phase 93 4.3.1 Die quasikristalline Phase q und ihr komplex-reguläres Eutektikum 98 4.4 Neue komplexe intermetallische Verbindungen im Al-Mg-Zn System 106 4.4.1 Phasenanalytische Untersuchungen in der Nähe des binären Teilsystems Mg-Zn 106 4.4.2 Physikalische Eigenschaften 113 4.4.3 Kristallchemie 114 4.4.3.1 Die beta-Zn-Phase 114 4.4.3.2 Die tau-d-Phase, ein dekagonaler Approximant 125 4.4.3.3 Die lambda-Phase 134 5 Zusammenfassung 141 6 Literatur 149 A Anhang 159 A.1 Verfeinerung der Einkristall-Röntgenbeugungsdaten 159 A.2 Grundlagen der DTA-Simulation 160 A.2.1 DTA-Simulation in VBA für den Excel-Export von Pandat2012 161 A.3 Zusätzliche Information über die Phi-Phase des Al-Mg-Zn Systems 168 A.3.1 Informationen zu den effektiven Paarpotentialen für das ternäre Al-Mg-Zn System 172 A.4 Zusätzliche Informationen über die tau-2-Phase im Al-Mg-Zn System 175 A.5 Zusätzliche Informationen über die Abtastung der primären Phasenfelder 180 A.6 Zusätzliche Informationen über die beta-Zn-Phase im System Al-Mg-Zn 185 A.7 Zusätzliche Informationen über die tau-d-Phase im System Al-Mg-Zn 191 A.8 Zusätzliche Informationen über die lambda-Phase im System Al-Mg-Zn 195 / The elements Al, Mg and Zn are major components for a large number of light and high strength alloys, such as the Al-based alloys of the 7xxx series. In addition, the Al-Mg-Zn system has attracted much interest because four complex metallic alloy phases, called τ1, τ2, Φ and q are formed as ternary intermetallic compounds. The current experimental phase diagrams of the Al-Mg-Zn system contain only provisional or no homogeneity ranges of the Φ phase, τ2 phase and the q phase due to insufficient experimental data. The aim of the work was to redetermine the homogeneity ranges of the q, τ2 and the Φ phases and to determine the crystal structure of the Φ phase for a reliable data set. Samples were prepared by furnace-controlled melting and annealing in Ta ampoules or by centrifugation from the self-flux and characterized by XRD, SEM, EDXS, WDXS and DSC. While reinvestigating the Al-Mg-Zn phase equilibria in the vicinity of the subsystem Mg-Zn close to τ1, a number of new ternary phases were discovered. Single phase material could be obtained for the known Φ and τ2 phases and for four new intermetallic compounds. The crystal structures for the Φ phase and two of the new intermetallic compounds were solved and the crystal structure of the τ2 phase was reinvestigated. While τ2 (Pa-3, a = 23.034(3) Å) is an approximant of the icosahedral quasicrystalline phase q, the Φ phase (Pbcm, a = 8.9374(2) Å, b = 16.812(3) Å, c = 19.586(4) Å) and one of the new phases (Imm2, a = 5.2546(2), b = 40.240(2), c = 25.669(1) Å) turned out to be decagonal approximants. Surprisingly, we have found one phase (Fd-3m, a = 27.5937 (9) Å) isotypic to the Samson’s phase β-Al3Mg2 at Zn rich composition.:1 Einleitung 1 2 Grundlagen 5 2.1 Frank-Kasper-Phasen und tetraedrisch dicht gepackte Strukturen 5 2.2 Parkettierungen, Quasikristalle and Approximanten 11 2.3 Phasendiagramme und Phasen des Al-Mg-Zn Systems 16 3 Experimentelle Methoden und Theoretische Berechnungen 24 3.1 Ausgangsstoffe 24 3.2 Präparation der Proben 24 3.2.1 Schmelzspinnen 25 3.2.2 Schmelzzentrifugation 26 3.2.3 Abkühlvarianten 26 3.3 Charakterisierung der Legierungen 27 3.3.1 Chemische Analysen 27 3.3.2 Metallografie, Röntgenspektroskopie, Elektronenbeugung 28 3.3.3 DSC- und Massendichtemessungen, Messungen des elektrischen Widerstands 29 3.3.4 Pulver-Röntgendiffraktion und Pulver-Neutronendiffraktion 29 3.3.5 Einkristall-Röntgendiffraktion 30 3.4 Theoretische Berechnungen 31 3.4.1 Berechnungen der elektronischen Struktur 31 3.4.2 Gesamtenergieberechnungen 31 3.4.3 Calphad-Berechnungen und DTA-Simulation 32 4 Ergebnisse 34 4.1 Die Phi-Phase 34 4.1.1 Phasenanalyse 35 4.1.2 Physikalische Eigenschaften 44 4.1.3 Kristallchemie 45 4.1.4 Ergebnisse der Gesamtenergieberechnungen, DOS 57 4.2 Die tau-2-Phase 59 4.2.1 Phasenanalyse 60 4.2.2 Strukturmodellierung mit kanonischen Zell-Parkettierungen 73 4.2.3 Strukturverfeinerung 77 4.2.4 Kristallchemie 83 4.2.5 Ergebnisse der Gesamtenergieberechnungen 88 4.3 Primäre Phasenfelder der Mg-reichen Seite des Al-Mg-Zn Systems und die q-Phase 93 4.3.1 Die quasikristalline Phase q und ihr komplex-reguläres Eutektikum 98 4.4 Neue komplexe intermetallische Verbindungen im Al-Mg-Zn System 106 4.4.1 Phasenanalytische Untersuchungen in der Nähe des binären Teilsystems Mg-Zn 106 4.4.2 Physikalische Eigenschaften 113 4.4.3 Kristallchemie 114 4.4.3.1 Die beta-Zn-Phase 114 4.4.3.2 Die tau-d-Phase, ein dekagonaler Approximant 125 4.4.3.3 Die lambda-Phase 134 5 Zusammenfassung 141 6 Literatur 149 A Anhang 159 A.1 Verfeinerung der Einkristall-Röntgenbeugungsdaten 159 A.2 Grundlagen der DTA-Simulation 160 A.2.1 DTA-Simulation in VBA für den Excel-Export von Pandat2012 161 A.3 Zusätzliche Information über die Phi-Phase des Al-Mg-Zn Systems 168 A.3.1 Informationen zu den effektiven Paarpotentialen für das ternäre Al-Mg-Zn System 172 A.4 Zusätzliche Informationen über die tau-2-Phase im Al-Mg-Zn System 175 A.5 Zusätzliche Informationen über die Abtastung der primären Phasenfelder 180 A.6 Zusätzliche Informationen über die beta-Zn-Phase im System Al-Mg-Zn 185 A.7 Zusätzliche Informationen über die tau-d-Phase im System Al-Mg-Zn 191 A.8 Zusätzliche Informationen über die lambda-Phase im System Al-Mg-Zn 195