Etude de la cristallinite de derives n-octadecyliques de l'alcool polyvinylique obtenus par greffage chimique

Differential scanning calorimetry has been used to study the heats of fusion and melting transitions of n-octadecyl derivatives of polyvinyl alcohol. These derivatives were obtained by grafting paraffinic chains on polyvinyl alcohol, at various proportions. The melting transitions are independent of the degree of substitution; the heats of fusion are proportional to the fraction of crystallizable units. Using Flory's equilibrium crystallization theory, it is possible to interpret these results assuming, as demonstrated previously, that the chemical grafting is sequential with two unreacted hydroxyl groups between two adjacent paraffinic side-chains.     

Recent improvements of the ion analyzer and typical examples of applications

Improvements of a CAMECA IMS 300 ion microanalyzer are described: ion source, resolution, ion detector and counting system. Comparison with the performances of an electron microprobe is presented. Examples of application are given.     

Analyse conformationnelle théorique

Résumé Une étude théorique ab initio SCF-LCAO-MO de la méthylène imine et de l'anion vinyle a été effectuée. Les barrières d'énergie calculées pour l'inversion de l'azote et pour la rotation autour de la liaison C=N sont respectivement de 26–28 kcal/mole et de 57 kcal/mole.La barrière d'inversion du carbanion calculée pour l'anion vinyle est de 39 kcal/mole et l'isomérisation des imines se fait donc par inversion de l'azote. Les anions vinyliques ont une configuration stable.L'origine physique de ces barrières d'inversion est étudiée et caractérisée par les variations des termes énergétiques, de la composition de l'OM du doublet libre et des populations électroniques.La comparaison des processus d'inversion du carbanion, de l'azote et de l'oxonium dans la série CH₂=CH, CH₂=NH et CH₂=OH a permis de mettre en évidence l'évolution des termes énergétiques, de la hauteur de la barrière et des transferts de population.

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Theoretical conformational analysisIV. An ab initio SCF-LCAO-MO study of methylenimine and of vinyl anion

An ab initio SCF-LCAO-MO study of methylenimine and vinyl anion has been performed. The calculated barriers to nitrogen inversion and to rotation about the C=N bond are equal to 26–28 kcal/mole and 57 kcal/mole respectively.The calculated barrier to carbanion inversion in the vinyl anion amounts to 39 kcal/mole. Thus isomerization of imines occurs by a nitrogen inversion process and vinyl anions are configurationally stable.The physical origin of these inversion barriers is studied and characterized by the changes in the energy terms, in lone pair MO composition, and in electron populations.Comparison of the carbanion, nitrogen and oxonium inversion processes in the isoelectronic series CH₂=CH, CH₂=NH and CH₂=OH permits to delineate general trends in the energy terms, barrier height and population transfers.

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Zusammenfassung Für Methylenimin und das Vinylanion wird eine ab initio SCF-LCAO-MO-Studie durchgeführt. Die berechneten Barrieren für die Stíckstoffinversion und die Rotation um die C=N-Bindung betragen 26–28 kcal/Mol bzw. 57 kcal/Mol.Die berechnete Barriere für die Inversion des Carbanions im Vinylanion beträgt 39 kcal/Mol. Daher wird die Isomerisation von Iminen durch einen Stickstoffinversionsprozeß hervorgerufen, und die Konfigurationen von Vinyl-Anionen sind stabil.Der physikalische Ursprung dieser Inversionsbarrieren wird studiert und durch Änderungen in den Energietermen, in der Zusammensetzung von Ione pair-MO's und in den Besetzungszahlen der Elektronen charakterisiert.Ein Vergleich der Inversionsprozesse des Carbanions, des Stickstoffs und des Oxonium-Ions in der isoelektronischen Reihe CH₂=CH^–, CH₂=NH and CH₂=OH⁺ ermöglicht es, allgemeine Züge in den Energietermen, in den Höhen der Barrieren und den Besetzungsübergängen abzuleiten.

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Précédent article de cette série: cf. Réf. [1].

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Laboratoire associé au C.N.R.S.     

Etude de la réaction de l'acé'tylacé'tate d'éthyle avec les diamino-1,5 imidazoles

The condensation of 1,5-diaminoimidazoles with ethyl aceto-acetate gives two types of compounds: imidazo[1,5-b]-1,2,4-triazepinones and imidazo[4,5-b]pyridinones. The structure of these compounds is demonstrated by rmn and mass spectroscopy. The formation of imidazo[4,5-b]pyridinones from imidazo[1,5-b]-triazepinones through a new transposition is also shown.     

Application of mathematical programming in planning of human diets

Mathematical programming models have been developed to find utility maximized nutritious diets. The utility maximized diets have been shown to be more practical, more realistic, and less costly than the non-utility maximized diets. In this study we further increase the desirability of diets by gradually softening those nutrients which have been supplied by the foods in the diet at a cost which is above the market price of the respective nutrient. Marginal analysis is used to find marginal costs of the nutrients. The parametric quadratic programming is used to find the optimum diet where the cost of nutrient is equal to the market price of the nutrient supplement. The resulting diet is more desireable and less costly than the previous diets.     

Stability of strongly continuous representations of abelian semigroups

Part of this work was carried out while the authors were visiting the University of Franche-Comté, Besan?on, and Hokkaido University, Sapporo, respectively     

An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: Exact and approximate solutions

An analysis was made to investigate non-Darcian fully developed flow and heat transfer in a porous channel bounded by two parallel walls subjected to uniform heat flux. The Brinkmanextended Darcy model was employed to study the effect of the boundary viscous frictional drag on hydrodynamic and heat transfer characteristics. An exact expression has been derived for the Nusselt number under the uniform wall heat flux condition. Approximate results were also obtained by exploiting a momentum integral relation and an auxiliary relation implicit in the Brinkmanextended Darcy model. Excellent agreement was confirmed between the approximate and exact solutions even in details of velocity and temperature profiles.     

Further study of theE/f 1 (1420) meson in central production

We have studied the reactions \(({{\pi ^ + } \mathord{\left/ {\vphantom {{\pi ^ + } p}} \right. \kern-0em} p})p \to ({{\pi ^ + } \mathord{\left/ {\vphantom {{\pi ^ + } p}} \right. \kern-0em} p})(K\bar K\pi )p\) where the \(K\bar K\pi \) system is centrally produced, at 85 GeV/c and 300 GeV/c using the CERN Omega spectrometer. A spin-parity analysis of theK _S ⁰ K ^± π ^? system shows the presence of a strongJ ^PC=1⁺⁺ signal which we identify as theE/f ₁ (1420) meson. We also find evidence for the decayE/f ₁(1420)→K _S ⁰ K _S ⁰ π ⁰ which determines theC-parity of this state to be positive. Alternative explanations of the data have been tested and ruled out. Hence we obtain the quantum numbers of theE/f ₁ (1420) to beI ^G(J^PC)=0⁺(1⁺).     

On the equation of state of classical one-component systems with long-range forces

Several definitions of the pressure are introduced for one-component systems and shown to be nonequivalent in the presence of a rigid neutralizing background. Relations between these pressures are derived for finite and infinite systems; these relations depend on the asymptotic behavior of the force at infinity, with the Coulomb force at the borderline between different properties. It is argued that only one of those definitions is physically acceptable and its properties are discussed in relation to the asymptotic behavior of the force. It is seen in particular that a knowledge of the state of the infinite system is not sufficient to determine its thermodynamic properties. The results are illustrated by some typical examples.For example, for two-dimensional systems with three-dimensional Coulomb interaction see refs. 2–4.