Parametric Cutoffs for Interacting Fermi Liquids

This paper is a sequel to Disertori et al. (Annales Henri Poincaré 2, 733–806, 2001). We introduce a new multiscale decomposition of the Fermi propagator based on its parametric representation. We prove that the corresponding sliced propagator obeys the same direct space bounds than the decomposition used in Disertori et al. (Annales Henri Poincaré 2, 733–806, 2001). Therefore the non perturbative bounds on completely convergent contributions of Disertori et al. (Annales Henri Poincaré 2, 733–806, 2001) still hold. In addition the new slicing better preserves momenta, hence should become an important new technical tool for the rigorous analysis of condensed matter systems. In particular it should allow to complete the proof that a three dimensional interacting system of Fermions with spherical Fermi surface is a Fermi liquid in the sense of Salmhofer’s criterion.     

Total Syntheses of Amphidinolides B1, B4, G1, H1 and Structure Revision of Amphidinolide H2

Nature is a pretty unselective “chemist” when it comes to making the highly cytotoxic amphidinolide macrolides of the B/G/H series. To date, 16 different such compounds have been isolated, all of which could now be approached by a highly convergent and largely catalysis‐based route (see figure). This notion is exemplified by the total synthesis of five prototype members of this family.

     

Regioselective aziridine ring expansions

1-Phenylmethyl-2-hydroxymethylaziridine ( 1 ) undergoes regioselective reactions with carbon disulfide to form thiazolidinethiones. Deuterium labeling experiments suggest that the reaction proceeds exclusively via aziridinium ring expansion. The regiospecificity appears to be electronically controlled.     

Synthese et transposition thermique d'alcools α-ethyleniques β'-alleniques

Thirteen variously substituted α-ethylenic β'-allenic alcohols (1,5,6-triene-3-ols) have been synthesized by three different methods, for two of which the key step was the reaction of an organo copper reagent with a derivative of a β-hydroxy γ-ethylenic alcohol (1-ene-5-yne-3,7-diol). The[3,3]-sigmatropic rearrangement of these alcohols, following the heating of their solution in diglyme, leads to γ-dienic aldehydes and ketones. The yields are best (60–70%) for tertiary alcohols substituted on carbon 5. Comparisons of the reactivities of these 13 alcohols show that the mechanism of this rearrangement can probably vary, following the substitution from a cyclohexadiyl biradical process to a concerted pathway involving a cyclohexane transition state.     

Retention on mixed cyclodextrin/polysiloxane stationary phases in capillary GC—Evidence for the interaction of cyclodextrin and polysiloxane

The dependence of the retention on stationary phases consisting of mixtures of a cyclodextrin (perpentyl-β-cyclodextrin) and a polysiloxane (cyanopropyl-7%-, phenyl-7%-methyl-86%-or OV-1701) was investigated as function of the cyclodextrin concentration. In order to study the effect of mixing, the data on the mixed stationary phases were compared with those obtained on pure OV-1701 and perpentylated β-CD and on coupled columns, individually coated with the pure phases. The validity of the retention model proposed in the literature by Schurig and co-workers was checked. Deviation from linearity was observed for some racemates. A possible explanation of the deviation is presented and a more general retention model on mixed cyclodextrin-polysiloxane phases is proposed.     

The Penems,a New Class of β-Lactam Antibiotics. 6. Synthesis of 2-alkylthiopenem carboxylic acids

A synthesis of 2-alkylthiopenems by an intramolecular Wittig-type reaction between a phosphorane and a trithiocarbonate ester is described.     

Fragment interaction analysis in the framework of ab initio UHF MO computations. I. Conformational preference in the ethyl radical

In this paper we describe a procedure which allows to obtain estimates of the energy effects associated with the orbital interactions occurring between the component fragments of a radical species in the framework of ab initio Unrestricted Hartree-Fock computations. This procedure is used here to analyze the factors which control the conformational isomerism of the ethyl radical.On leave from C.N.R.S., GR 12, Thiais, France     

A synthesis of pyrrolo[3,4-c]pyridines via pyridyne intermediates

A synthesis of pyrrolo[3,4-c]pyridines from pyridyne intermediates is reported together with a study of the reactions of 2-methyl-2H-pyrrolo[3,4-c]pyridine (5) with oxidising and reducing agents.