The Migratory Aptitude of the Ethoxycarbonyl Group in the Pinacol Rearrangement. Preliminary communication

The migratory aptitude of the ethoxycarbonyl group in the pinacol rearrangement was deduced from the structure of the products observed after treatment of 2-substituted 2,3-dihydroxy-3-phenylbutyrates with fluorosulfonic acid at 0° for 3 minutes. The migratory aptitude of ethoxycarbonyl is comparable to that of ethyl, greater than that of methyl or hydrogen, but smaller than that of phenyl. Cyclization and fragmentation reactions were also observed.     

The determination of the absolute configuration of tri-o-thymotide by crystal structure analysis and optical rotation.

The absolute configuration of tri-o-thymotide was obtained from the crystal structure of the solvate with (R)-2-butanol in association with optical measurements.     

Derivation fonctionnelle abstraite

In this paper, the classical theory, due to R. de POSSEL [11][12], of abstract derivation basis with VITALI properties, is systematically generalized with a functional formulation. That is to say that the derivation by means of suitable families of measurable sets is replaced by a derivation using measurable functions. A theorem which gives various caracterizations of that functional basis of weak VITALI type includes a theorem obtained by R. de POSSEL [13] about this kind of derivation. This result leads to the introduction of VITALI conditions of functional type in a derivation theorem of N. DUNFORD and J. T. SCHWARTZ [3].     

Isomerisation de l'ion moleculaire de derives substitues polycycliques du benzodioxinne-1,4

Three fragmentations (loss of phenyl, hydrogen and a RCO radical) of benzocyclobutene derivatives of differently substituted 1,4-benzodioxin were studied. In some cases these molecules, deuteriated in a specific position, revealed the existence of several isomers of the molecular ion.     

Applied mathematical modelling in marine science

The essential elements of a general interdisciplinary marine model are reviewed; state variables are identified, evolution equations are discussed and major parameters are indicated. The methods of reducing the size of the model by aggregation in state space (reduction of scope) or averaging in physical space (reduction of support) are revised with particular emphasis on the associated parameterization of the non-linear effects. Examples of application are given in illustration and comparison of the models' predictions with observations indicates the degree of accuracy and the limits of viability of present state marine modelling.     

Hétérocycles contenant du phosphore: XXVIII—Etude par Résonance Magnétique Nucléaire et analyse conformationnelle de quelques oxazaphosphorinanes-1,3,2 (II)

The ¹H n.m.r. spectra of some new 1,3,2-oxazaphosphorinanes are analysed. The stereochemistry and the ring conformation is discussed. The free energy and the torsional angle of the C-4? C-5 and C-5? C-6 fragments are calculated for some of these 1,3,2-oxazaphosphorinanes.     

RenormalizedG-convolution ofN-point functions in quantum field theory: Convergence in the Euclidean case II

The notion of Feynman amplitude associated with a graphG in perturbative quantum field theory admits a generalized version in which each vertexv ofG is associated with ageneral (non-perturbative)n _v -point functionH ⁿ _v , n_vdenoting the number of lines which are incident tov inG. In the case where no ultraviolet divergence occurs, this has been performed directly in complex momentum space through Bros-Lassalle'sG-convolution procedure.     

Reactions du n=chloroparatoluenesulfonamidate de sodium (chloramine t) sur les olefines en miliu acide organique

Vic. chloro-acetoxy and vic. chloro-tosylamino alcanes are the main products of the electrophilic reaction of chloramine T on olefins in acetic acid. The stereochemistry of the acetoxy chloration of the 2-butenes and cyclohexene is trans.