<p>Dissociation dynamics of the ionized molecules HCl and the deuterated system DCl has been studied in gas-phase using synchrotron based photoelectron spectroscopy (PES).</p><p>The inner-valence "(4σ)^-1" photoionization band for DCl and HCl was recorded using maximum resolution in order to probe an interference pattern between a dissociative and a bound electronic state. For HCl⁺, we clearly observed distorted Fano-type peaks even for modest resolution, whereas for DCl⁺, the pattern was hardly discernible. The observation in HCl⁺ has been explained by a coupling between two adiabatic electronic states, where the bound state was populated through non-adiabatic curve-crossing. The nuclear motion of HCl⁺ is too fast for the Born-Oppenheimer approximation to be fully valid in this case. Whereas for DCl⁺, with larger reduced mass and therefore slower nuclear motion, the non-adiabatic coupling is less pronounced, and the vibrational progression vanishes.</p><p>A comparative study between PES and threshold photoelectron spectra (TPES) of the inner-valence bands of HCl and DCl has been performed, showing differences in intensities and shapes of the vibrational bands. These differences were attributed to the fact that the sudden approximation, which can be assumed to be valid for PES, is violated in the case of TPES.</p><p>A resonant Auger electron spectroscopy study of HCl and DCl has been performed, which shows an interference pattern between atomic and molecular Auger- and photoelectron channels. The atomic features are associated with ultra-fast dissociation of the molecules, on the same time scale as the Auger decay. The observation shows that the excited molecular system has to be regarded as a superposition of fragmented and molecular states.</p><p>A study of the <i>X</i>-state of HCl⁺, populated via a core-excited state, shows a selective population of the final state. The explanation was shown to be that the magnetic orientation of the core-hole is transferred to the final state of the molecule.</p><p>A setup for data acquisition of Photo-Electron Photo-Ion Photo-Ion COincidence (PEPIPICO) measurements using a Time-Of-Flight (TOF) spectrometer has been developed. A Time-to-Digital Converter (TDC) card has been linked together with the data treatment program Igor as a user interface. Furthermore, the PEPIPICO spectrometer has been characterized to provide a solid basis for the analysis of experimental data.</p>

Dissociation dynamics of the ionized molecules HCl and the deuterated system DCl has been studied in gas-phase using synchrotron based photoelectron spectroscopy (PES). The inner-valence "(4σ)-1" photoionization band for DCl and HCl was recorded using maximum resolution in order to probe an interference pattern between a dissociative and a bound electronic state. For HCl+, we clearly observed distorted Fano-type peaks even for modest resolution, whereas for DCl+, the pattern was hardly discernible. The observation in HCl+ has been explained by a coupling between two adiabatic electronic states, where the bound state was populated through non-adiabatic curve-crossing. The nuclear motion of HCl+ is too fast for the Born-Oppenheimer approximation to be fully valid in this case. Whereas for DCl+, with larger reduced mass and therefore slower nuclear motion, the non-adiabatic coupling is less pronounced, and the vibrational progression vanishes. A comparative study between PES and threshold photoelectron spectra (TPES) of the inner-valence bands of HCl and DCl has been performed, showing differences in intensities and shapes of the vibrational bands. These differences were attributed to the fact that the sudden approximation, which can be assumed to be valid for PES, is violated in the case of TPES. A resonant Auger electron spectroscopy study of HCl and DCl has been performed, which shows an interference pattern between atomic and molecular Auger- and photoelectron channels. The atomic features are associated with ultra-fast dissociation of the molecules, on the same time scale as the Auger decay. The observation shows that the excited molecular system has to be regarded as a superposition of fragmented and molecular states. A study of the X-state of HCl+, populated via a core-excited state, shows a selective population of the final state. The explanation was shown to be that the magnetic orientation of the core-hole is transferred to the final state of the molecule. A setup for data acquisition of Photo-Electron Photo-Ion Photo-Ion COincidence (PEPIPICO) measurements using a Time-Of-Flight (TOF) spectrometer has been developed. A Time-to-Digital Converter (TDC) card has been linked together with the data treatment program Igor as a user interface. Furthermore, the PEPIPICO spectrometer has been characterized to provide a solid basis for the analysis of experimental data.

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第20880号 / 理博第4332号 / 新制||理||1622(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 堤 誉志雄, 教授 上 正明, 教授 宍倉 光広 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

We discuss the physical problem of a molecule interacting with an electromagnetic field pulse and model the problem using a time-dependent perturbation of the Born-Oppenheimer approximation to the Schrodinger equation. Using previous results that develop asymptotic series solutions in the Born-Oppenheimer parameter ε, we derive a formal Dyson series expansion in the perturbation parameter μ, which is proportional to the electromagnetic field strength. We then prove that this series is asymptotically accurate in both parameters, provided that the Hamiltonian for the electrons has purely discrete spectrum. Under more general hypotheses, we show that the series is accurate to first order in μ, and that it is accurate to one higher order if we place conditions on the abruptness of the EM pulse. We also show how this series development provides a justification for the Franck-Condon factors in the case of a diatomic molecule. / Ph. D.

Ce travail est destiné au développement de méthodes approchées de chimie quantique capables de traiter des systèmes biologiques de grande taille. En particulier, nous réalisons des simulations de dynamique moléculaire dans l'approximation de Born-Oppenheimer, permettant une description quantique de l'Hamiltonien électronique du système dans son entier : SEBOMD (SemiEmpirical Born-Oppenheimer Molecular Dynamics). Notre approche se base sur un Hamiltonien électronique semiempirique (SE). L'une des principales difficultés rencontrées lors d'une simulation SEBOMD de la phase condensée est représentée par le choix de la méthode SE. La plupart des méthodes courantes ne permettant pas une bonne description de certaines interactions fondamentales, nous avons développé une nouvelle approche. Cette méthode, dénommée PM3-PIF3, a été appliquée à l'étude par dynamique moléculaire de molécules organiques dans l'eau. Les résultats obtenus montrent que notre méthode est appropriée pour le traitement de molécules comportant des groupements hydrophobes et/ou hydrophiles en milieu aqueux. L'analyse des propriétés électroniques et vibrationnelles de ces molécules en présence du solvant valide également nos résultats vis-À-Vis d'autres études expérimentales et théoriques présentes dans la littérature. Finalement, nous nous sommes intéressés au processus d'autoprotolyse de l'eau en milieux confinés. Après avoir discuté du choix de l'Hamiltonien SE à utiliser pour cette étude, nous avons caractérisé le transfert de proton dans un agrégat d'eau. Nous avons établi une corrélation entre l'énergie libre associée à la première étape de ce transfert et certaines propriétés physiques collectives / The present work is devoted to the development of approximate quantum chemistry methods that are suitable to treat biological systems of large size. In particular, we run molecular dynamics under the Born-Oppenheimer approximation, allowing a quantum mechanical description of the electronic Hamiltonian of the full system: SEBOMD (SemiEmpirical Born-Oppenheimer Molecular Dynamics). Our method is based on a semiempirical (SE) electronic Hamiltonian. One of the key issues arising in a condensed phase SEBOMD simulation is represented by the choice of the SE method. Since most of the currently available approaches fail in describing some relevant intermolecular interactions, we developed a new correction of SE Hamiltonians. This method, which we named PM3-PIF3, was applied to study the molecular dynamics of organic molecules in water. The results that we obtained showed that our technique is suitable to treat molecules having hydrophobic and/or hydrophilic groups in an aqueous medium. The analysis of the electronic and vibrational properties of these molecules in the presence of the solvent validates our results with respect to experimental and theoretical studies in the literature. Finally, we investigated the water self-Dissociation process in confined environments. After discussing the choice of the SE Hamiltonian to be used for this purpose, we characterized the proton transfer in a water cluster. We established a correlation between the free energy of the first step of this process and some collective physical properties

Cette thèse est consacrée à l'étude du spectre de l'opérateur de Laplace avec conditions de Dirichlet dans différents domaines du plan ou de l'espace. Dans un premier temps on s'intéresse à des triangles asymptotiquement plats et des cônes de petite ouverture. Ces problèmes admettent une reformulation semi-classique et nous donnons des développements asymptotiques à tout ordre des premières valeurs et fonctions propres. Ce type de résultat est déjà connu pour des domaines minces à profil régulier. Pour les triangles et les cônes, on prouve que le problème admet maintenant deux échelles. Dans un second temps, on étudie une famille de couches coniques indexées par leur ouverture. Là encore, on s'intéresse à la limite semi-classique quand l'ouverture tend vers zéro: on donne un développement asymptotique à deux termes des premières valeurs propres et on démontre un résultat de localisation des fonctions propres associées. Nous donnons également, à ouverture fixée, un équivalent du nombre de valeurs propres sous le seuil du spectre essentiel. / This thesis deals with the spectrum of the Dirichlet Laplacian in various two or three dimensional domains. First, we consider asymptotically flat triangles and cones with small aperture. These problems admit a semi-classical formulation and we provide asymptotic expansions at any order for the first eigenvalues and the associated eigenfunctions. These type of results is already known for thin domains with smooth profiles. For triangles and cones, we show that the problem admits now two different scales. Second, we study a family of conical layers parametrized by their aperture. Again, we consider the semi-classical limit when the aperture tends to zero: We provide a two-term asymptotics of the first eigenvalues and we prove a localization result about the associated eigenfunctions. We also estimate, for each chosen aperture, the number of eigenvalues below the threshold of the essential spectrum.

Ce travail, effectué dans le cadre d’une collaboration entre l’IPN d’Orsay et EDF, contribue aux études destinées à améliorer la compréhension du comportement des radioéléments en production (centrale en fonctionnement) et à l’aval du cycle électronucléaire (stockage géologique profond des déchets). Le comportement et l’évolution des radioéléments sont fortement dépendants des interactions aux interfaces eau / surface minérale, phénomènes complexes et souvent difficiles à caractériser in situ (en particulier, dans le cas du circuit primaire des centrales REP). La dynamique moléculaire basée sur la théorie de la fonctionnelle de la densité apporte des éléments de compréhension sur l’évolution des structures d’équilibre en prenant en compte explicitement la solvatation et les effets de la température sur les mécanismes d’interaction. Dans un premier temps, le comportement de l’ion uranyle en solution et à l’interface d’un système modèle eau / TiO2 à température ambiante a été simulé et validé par la confrontation avec des résultats expérimentaux et des calculs de DFT statiques. Dans un deuxième temps, cette approche a été employée sur ce même système, à des fins prédictives, pour étudier l’effet d’une élévation de la température. La rétention de l’ion augmente avec la température en accord avec les données expérimentales obtenues sur d’autres systèmes, et conduit également à une modification du complexe de surface. Dans un troisième temps, une étude similaire a été effectuée à l’interface eau / NiO, produit de corrosion présent dans le circuit primaire des centrales nucléaires, pour lequel peu de données expérimentales sont disponible actuellement. / This study, performed within the framework of an EDF and IPN of Orsay partnership, contributes to the studies intended to improve the understanding of the radioelement behaviour in service (nuclear power plant) and at the end of the uranium fuel cycle (deep geologic repository). The behaviour and the evolution of radioelement depend mainly on the interactions at the water / mineral interfaces, which are complex and often difficult to characterize in situ (in particular, in the PWR primary circuit). Molecular dynamic simulations based on the Density Functional Theory provide some insight to understand the evolution of the structures against the solvation and the effects of the temperature on the interaction mechanisms. At first, the behaviour of the uranyl ion at room temperature in solution and at the water / TiO2 interface, as a system model, has been studied and validated by the systematic comparisons with the experimental and static DFT calculations data. Secondly, this approach was used on the same system, in predictive purposes, to study the effect of a temperature rise. The retention of the ion increases with the temperature in agreement with the experimental data obtained on other systems, and led also to a modification of the surface complex. Finally, a similar study has been performed at the water / NiO interface, which corresponds to a corrosion product present in the primary circuit of nuclear power plants, but for which few experimental data are currently available.

No description available.

The scope of this thesis is in the time-dependent formulation of the two dimensional model of resonant electron-diatomic molecule collisions in the range of low energies. In its time independent form the model was previously numerically solved without the Born-Oppenheimer approximation with use of modern tools such as the finite element method with discrete variable representation (FEM-DVR) or exterior complex scaling (ECS). Within the scope of this model we numerically solve the evolution problem, with use of the Crank-Nicolson method and the Padé approximation. Later we evaluate the cross section of the elastic and some inelastic processes with the correlation function approach. At last we make a comparison of the evolution and the cross sections to time dependent formulation of the local complex potential approximation of the electron-molecule collisions.

L'approximation de Born-Oppenheimer consiste à traiter de manière semi-classique l'équation de Schrödinger associée à une molécule en utilisant la petitesse du rapport de masse entre électrons et noyaux. Nous montrons que pour un type générique de presque croisement de codimension 1 de deux surfaces d'énergie électroniques, la propagation d'un paquet d'ondes nucléaire gaussien associé à l'une des surfaces est gouvernée par une formule du type Landau-Zener. Par ailleurs, dans le cadre de l'équation de Schrödinger stationnaire unidimensionnelle et en situation de croisement générique de deux courbes d'énergie, nous construisons des quasimodes par intégration d'un paquet d'ondes gaussien propagé le long d'une trajectoire classique périodique associée à l'une des deux courbes d'énergie.