Independance lineaire des valeurs des solutions transcendantes de certaines equations fonctionnelles

Sans résumé     

Induction asymetrique—II: Determination des configurations relatives de δ-amino β-hydroxyesters diastereoisomeres,obtenus par la reaction de reformatsky

Addition of Reformatsky reagents (R₁-CHZnBr-CO₂R) to three β-aminoketones, yields mixtures of threo and erythro diastereomeric aminohydroxyesters. The relative configurations of the first members of each series (R₁CH₃), were determined by chemical correlation. Those of higher homologues (R₁C₂H₅, iC₃H₇,tC₄H₉) are assigned by a study of their NMR spectra.     

Geometry of equilibrium configurations in the Ising model

We derive microscopically precise identities for the geometry of small clusters in the equilibrium states of the two-dimensional Ising model with emphasis on near-critical phenomena.     

Synthesis of difluoromethylthio imidazole from methylthio imidazole

Demethylation of methylthio imidazole 1 via a Pummerer rearrangement onto the corresponding sulfoxide 2 afforded imidazole thiol 4 which was then difluoromethylated with the sodium chlorodifluoroacetate/NaI system in 71% overall yield.     

Nuclear compressibilities

We discuss the relation between the compressibility of nuclear matter and the frequencies of the collective monopole vibrations of nuclei. We analyse some of the problems which arise when one extrapolates from properties of finite nuclei to those of infinite nuclear matter. The best way to perform this extrapolation is to use a theory capable of describing both systems on the same footing. Self-consistent calculations using phenomenological effective interactions realize such a program. The general properties of these effective interactions are discussed. The theory we used is described; we emphasize that it accounts for both the properties of the ground states of nuclei and the small amplitude collective vibrations. Simple models of compression modes in infinite nuclear matter and in nuclei are presented; they illustrate various features of the collective modes in both systems. In particular we discuss the role of the shell structure and the effects of the nuclear surface. Results of extensive self-consistent calculations of the breathing mode of nuclei are presented and many features of the mode are analyzed. The role of the single particle spectrum on the frequencies of the collective modes is studied. Finally we briefly review the experimental situation on the monopole excitations of nuclei.We show that experimental data are compatible with a well defined value of the compression modulus of nuclear matter: K_∞ = 210±30 MeV.