Ondes et radiations électromagnétiques et gravitationelles en relativité générale

Résumé Théorie des ondes et radiations gravitationelles basée sur l’analogie existant entre les comportements du tenseur de courbure et du tenseur champ électromagnétique en relativité générale. Contribution à la quantification des champs. à Antonio Signorini pour son 70^me anniversaire.     

Susy-breaking without sliding vev

In the absence of gauge interactions the spontaneous breakdown of supersymmetry (Susy) is accompanied by a scalar field whose vacuum expectation value is not determined by the tree potential. Inclusion of the gauge interactions can fix this vev at the tree level. The situation is exemplified by a simpleSU(2)-model yielding nonvanishingF-andD-vevs.     

Self-induced generation of an off-axis frequency shifted radiation from atoms

The transient resonant linear response at wavelength λ_a of an N two-level atom vapor driven by a strong pulse with wavelength λ_f = λ_a - |Δλ| is shown to promote an emission of radiation peaked at wavelength λ_c = λ_a + |Δλ| in a conical shell around the propagation axis of the incident beam. In the limit of weak excitation, i.e. for an incident Rabi frequency much smaller than the detuning, the cone angle is found to be equal to 2λμ(2N/ch|Δλ|)^{$\text{1}\text{2}$} where μ is the transition dipole moment.     

The Reactivity Of singlet carbenes. An ab initio study

The energy barriers for the addition to ethylene of a series of carbenes have been calculated at an ab initio level. using the STO-3G and 3-21G basis sets. It is shown that the usual extrapolation of experiment results, which predicts that the reactivity of carbenes decreases when increasing its nucleophilic character, is not valid.     

Sur le problème de Plateau pour un quadrilatère variable qui peut acquérir un point double

Résumé Soit Γ un quadrilatère variable, dont deux c?tés opposés A₂A₃, A₁A₄ sont dans les plans x₃=c, x₃=−c. Quand c tend vers0, Γ tend vers un quadrilatèreΓ ⁰ présentant un point double, A⁰. Le travail étudie la représentation conforme sur le demi-plan R(ix)<0 (ou sur le cercle - unité) de la surface minimale ∑ passant par Γ. Il montre (§ I) que si les affixes x de A₁, A₂, A₄ sont 0, 1, ∞, l'affixe de A₃ sera ɛ⁻², où ɛ tend vers 0 avec c. Il étudie (§ II) l'allure pour ɛ tendant vers 0 des intégrales canoniques de l'équation linéaire du problème. La forme de la relation entre ɛ et c est indiquée au n^o 19; on montre que dans la région de striction ɛ |x| reste borné et que la surface ∑ y est assimilable à une surface minimale simple: la surface de vis à filet carré. La représentation conforme de l'une des deux régions de ∑ qui tendent à se séparer l'une de l'autre tend à envahir tout le demi-plan (ou tout le cercle-unité). Les représentations conformes de ∑ pour c>0 et c<0 ne sont pas analytiquement distinctes (n⁰ 20). A titre d'exemple, on étudie (n⁰ 21) le cas où ∑ possède un axe de symétrie. A M. Enrico Bompiani pour son Jubilé scientifique     

Pulsed-field gradient nuclear magnetic resonance study of transport properties of fluid catalytic cracking catalysts

Pulsed-field gradient nuclear magnetic resonance (PFG NMR) has been applied to study molecular diffusion in industrial fluid catalytic cracking (FCC) catalysts and in USY zeolite for a broad range of molecular displacements and temperatures. The results of this study have been used to elucidate the relevance of molecular transport on various displacements for the rate of molecular exchange between catalyst particles and their surroundings. It turned out that this rate, which may determine the overall rate and selectivity of FCC process, is primarily related to the diffusion mode associated with displacements larger than the size of zeolite crystals located in the particles but smaller than the size of the particles. This conclusion has been confirmed by comparative studies of the catalytic performance of different FCC catalysts.     

2-Methoxy-6-oxo-1,4,5,6-tetrahydropyridine-3-carbonitriles: versatile starting materials for the synthesis of libraries with diverse heterocyclic scaffolds

Heterocyclic demonstration libraries for agrochemical screening were prepared from the common intermediates 2-methoxy-6-oxo-1,4,5,6-tetrahydropyridine-3-carbonitriles (1), using standard solution-phase techniques. A total of 18 screening libraries were prepared in good to excellent yields. Several members of these libraries were active in the first level of agrochemical screening, especially in the fungicide screen.     

Isolation and structural elucidation of a novel rotenoid from the seeds of Clitoria fairchildiana

The seeds of Clitoria fairchildiana provided a new rotenoid, 6-hydroxy-2,3,9-trimethoxy-[1]benzopyrano[3,4-b][1]benzopyran-12(6H)-one. The structural elucidation was performed using detailed analyses of H- and 13C-NMR spectra including 2DNMR spectroscopic techniques (1H-13CHETCOR) and by comparison with spectrometric data from the literature. The anti-inflammatory activity was investigated using a capillary permeability assay.