Sur la synthèse de chloro-3 indolinones a partir de β-nitrostyrènes diversement substitués

When treated with acetyl chloride and ferric chloride in methylene chloride, at 0°, monosubstituted β-nitrostyrene derivatives such as 2,3 or 4-methyl, -chloro or -fluoro and 3-nitro-β-nitrostyrenes cyclize into the new corresponding 3-chloro-1,3-dihydro-2H-indol-2-one. Reaction with other metal chlorides such as aluminum chloride and titanium tetrachloride does not lead to these heterocyclic derivatives but only produces N-acetyl-N-hydroxy-α-chlorobenzeneacetamides and/or N-(acetyloxy)-α-chlorobenzeneethanimidoyl chlorides.     

Dirichlet-to-Neumann semigroup acts as a magnifying glass

The first aim of this paper is to illustrate numerically that the Dirichlet-to-Neumann semigroup represented by P. Lax acts as a magnifying glass. In this perspective, we used the finite element method for discretizing of the correspondent boundary dynamical system using the implicit and explicit Euler schemes. We prove by using the Chernoff’s Theorem that the implicit and explicit Euler methods converge to the exact solution and we use the (P1)-finite elements to illustrate this convergence through a FreeFem++ implementation which provides a movie available online. In the Dirichlet-to-Neumann semigroup represented by P. Lax the conductivity \(\gamma \) is the identity matrix \(I_n\) , but for a different conductivity \(\gamma \) , the authors of Cornean et al. (J Inverse Ill-posed Prob 12:111–134, 2006) supplied an estimation of the operator norm of the difference between the Dirichlet-to-Neumann operator \(\Lambda _\gamma \) and \(\Lambda _1\) , when \(\gamma =\beta I_n\) and \(\beta =1\) near the boundary \(\partial \Omega \) (see Lemma 2.1). We will use this result to estimate the accuracy between the correspondent Dirichlet-to-Neumann semigroup and the Lax semigroup, for \(f\in H^{1/2}(\partial \Omega )\) .     

The ν1 and ν1 + ν2 − ν2 infrared absorption bands of H12CP

The vibration-rotation spectrum of HCP was recorded in the region of the ν₁ band with a resolution of about 0.035 cm^?1. All the data available were combined to calculate spectroscopic constants for the 00⁰0, 10⁰0, 01^1e0, 01^1f0, 11^1e0, and 11^1f0 states.     

Bonding and the electronic structure of the actinide metals

The electronic configurations of the 15 actinide metals from actinium to lawrencium have been determined using a phenomenological model based on the metallic radius, the crystal structure, the melting temperature and the enthalpy of sublimation. The above properties can be related to the electronic configuration which account for their anomalies. It can be shown that transberkelium metals are divalent and that from protactinium to plutonium, 5f electrons are band electrons. The hitherto unknown values of the enthalpies of sublimation and melting temperatures have been calculated.     

Nonlinear two- and three-dimensional free surface flows due to moving disturbances

Boundary integral equation methods for computing two- and three-dimensional nonlinear free surface flows are presented. In two dimensions, integral formulations can be derived by using complex variables or Green's functions. Both formulations are shown to yield the same level of accuracy. The formulation based on Green's functions is extended to three dimensions by following Forbes [J. Comput. Phys. 82 (1989) 330–347] and accurate numerical results are presented for moving distributions of pressure and moving submerged disturbances.     

Hyperfine interactions in amorphous and nanocrystalline Fe80Ti7Cu1B12 alloy

⁵⁷Fe Mössbauer spectroscopy is used to elucidate the nature of the hyperfine interactions present in amorphous and nanocrystalline forms of Fe₈₀Ti₇Cu₁B₁₂ alloy. Two mutually independent distributions of hyperfine fields and one sextet of Lorentzian lines are employed to reproduce the broad (atoms in amorphous rest and interface zone) and narrow (ordered) parts of the spectra, respectively. The presented conclusions are derived from three-dimensional mapping of the hyperfine field distributions corresponding to both amorphous and interfacial spectral components. The individual distributions are decomposed into Gaussian components which characterize different types of hyperfine interactions.     

Computer-aided spectral assignment in nuclear magnetic resonance spectroscopy

The proton-carbon correlation spectra, HMBC (heteronuclear multiple bond correlation) and HMQC (heteronuclear multiple quantum correlation), respectively, provide direct and remote connectivity information with high sensitivity. Their combination enables carbon-carbon proximity relationships to be deduced, which are formally identical to those produced by a fictitious INADEQUATE-2D experiment, where correlations would be established exclusively between atoms linked by one or two bonds. The CASA program uses these relationships, as well as DEPT spectra and elementary chemical-shift considerations to assign the ¹³C spectrum of a compound if its structure is known or assumed. If the structure conflicts with the experimental data, no assignment is produced. The CASA program serves as an aid to either spectral assignment or structural elucidation.