Isotopie de formes fermées en dimension trois

Sans résuméJ'ai mené ce travail à son terme grâce à une année de recherche au Centre de Mathématiques de l'Ecole Polytechnique. Je remercie ceux qui l'ont rendue possible, plus particulièrement Jean-Pierre Kahane, Président de l'Université Paris-Sud, et Laurent Schwartz, Directeur du Centre de Mathématiques. F.L.     

Tunneling of hydrogen in Nb(CH)0.0002

From neutron spectroscopic measurements, we determine a value of (162±4) eV for the tunneling matrix element of trapped H in Nb(CH)_0.0002. The matrix element is about 30% smaller than that of (226±4) eV for H trapped by O. The results demonstrate a significant influence of the trapping impurity on the lattice potential of the tunneling H interstitials.     

Sampling of Natural Water Using the Ultrasonic and Ultraviolet Decomposition of Humic Substances

It was shown that the time dependences of the degree of decomposition of humic substances under exposure to ultrasound and UV radiation exhibit identical maxima. It was found that ultrasonic and ultraviolet treatments enhance the analytical signal even in the absence of humic substances. It was proposed to use the ultrasonic pretreatment before the extraction–X-ray fluorescence analysis of water to eliminate the effect of humic substances on the recovery of elements.     

New insight in the role of modifying ligands in the sol-gel processing of metal alkoxide precursors: A possibility to approach new classes of materials

This paper summarizes recent literature data and presents new experimental data on the mechanisms of chemical modification, hydrolysis and polycondensation of the alkoxides and demonstrates possibilities to approach new classes of materials, exploiting these mechanisms. Low reactivity of silicon alkoxides is improved by either basic catalysis exploiting an S_N2 mechanism or acidic catalysis facilitating a proton-assisted S_N1 mechanism as well as by modification with chelating ligands. Metal alkoxides are much stronger Lewis bases compared to silicon alkoxides and the acidity of water is strong enough to achieve their rapid hydrolysis via proton-assisted S_N1 pathway even in the absence of additional catalysts. Introduction of the modifying chelating ligands is leading generally to increased charge distribution in the precursor molecules. Modifying chelating ligands are also appreciably smaller than the alkoxide ligands they replace. The modification with chelating ligands is thus facilitating the kinetics of hydrolysis and polycondensation. The size and shape of the primary particles formed in sol-gel treatment of metal alkoxides are defined not by kinetic factors in their hydrolysis and polycondensation but by the interactions on the phase boundary, which is in its turn directed by the ligand properties. The products of the fast hydrolysis and condensation sequence consist of micelles templated by self-assembly of ligands (mainly oxo-species). This concept provides explanations for commonly observed material properties and allows for the development of new strategies for the preparation of materials. We discuss the formation of inverted micelles, obtained by the appropriate choice of solvents, which allows for the formation of hollow spheres. The modifying β-diketonate ligands act as the surfactant and form an interface between the hollow sphere and the solvent. Retention of ligands inside the gel particles is possible only if ligands possessing both chelating and bridging properties are applied. Application of such ligands, for example, diethanolamine, permits to prepare new transition metal oxide based microporous membranes.