First order spectrum for elliptic system and nonresonance problem

In this paper we will study the first order spectrum for elliptic systems and the existence of solutions for a quasilinear elliptic system under the condition of nonresonance below the first eigensurface. This revised version was published online in June 2006 with corrections to the Cover Date.     

A reusable polymer‐supported copper(I) catalyst for triazole click reaction on water: An experimental and computational study

In the search for establishing a clickable copper‐catalysed (3 + 2) Huisgen azide–alkyne cycloaddition (CuAAC) reaction under strict conditions, in particular in terms of preventing the presence of copper particles/traces in reaction products and using an environmentally benign medium such as water, we describe here the synthesis of an aminomethyl polystyrene‐supported copper(I) catalyst (Cu(I)‐AMPS) and its characterization by means of Fourier transform infrared and energy‐dispersive X‐ray spectroscopies and scanning electron microscopy. Cu(I)‐AMPS was found to be highly active in the CuAAC reaction of various organic azides with alkynes affording the corresponding 1,4‐disubstituted 1,2,3‐triazoles in a regioselective manner in air at room temperature and using water as solvent. The insolubility and/or partial solubility of the organic azide and alkyne precursors as well as the heterogeneous Cu(I)‐AMPS catalytic system points to the occurrence of the cycloaddition at the organic–water interface ‘on water’ affording quantitative yields of water‐insoluble 1,2,3‐triazoles. A mechanistic study was performed using density functional theory aiming at explaining the observed reactivity and selectivity of the Cu (I)‐AMPS catalyst in CuAAC reactions.     

Palladium(0)-catalyzed amination of allylic natural terpenic functionalized olefins

The palladium(0) catalyzed amination of allylic acetates and carbonates derivatives from terpenic olefins was carried out under mild conditions. The reaction offers a very good method for the preparation of allylic amines and thus to provide a useful entry to new functionalized terpenic olefin products. The mechanism involving a formation of p-allyl-palladium intermediate complex is in good agreement with the results obtained with the optically active substrates, as well as via an analysis of the observed regio-and stereoselectivity.      

A G2(MP2) theoretical study of substituent effects on H3BNHnCl3−n (n= 3-0) donor-acceptor complexes

The complexation energies of H₃BNH_nCl_3−n (n= 3-0) complexes and the proton affinities of NH_nCl_3−n compounds have been computed at the G2(MP2) level of theory. G2(MP2) results show that the successive chlorine substitution on the ammonia decreases both the basicity of the NH_nCl_3−n ligands and the stability of H₃BNH_nCl_3−n complexes. The findings are interpreted in terms of the rehybridisation of the nitrogen lone-pair orbital. The NBO partitioning scheme shows that the variation of the N-H and N-Cl bond lengths, upon complexation, is due to variation of “s” character in these bonds.      

Ab-initio molecular dynamics and vibrational Raman spectroscopy investigations of quartz polymorph at high temperature

Quartz has found a wide range of applications over the past years. In the present work, the temperature dependence of microcrystalline quartz is investigated with Raman spectroscopy and DFT-based molecular dynamics simulations. We aimed to determine the structure at short and medium range distances as a function of the increasing temperature. The dynamics and the structural changes are analysed in terms of time-dependent properties, and the vibrational analysis obtained from calculated dipole trajectory and vibrational density of states (VDOS). The computed data is compared to Raman and infrared spectroscopic measurements. The approach is of a particularly great interest when we focus on the structural behaviour, and the dynamical disorder observed and characterised through geometric and thermodynamic data. The calculations confirm that the infrared and Raman signature as a function of temperature provide a sensitive analysis of the structural behaviour of quartz.     

Visualisation de l'écoulement de Taylor–Dean ouvert

Results of flow visualisation in a Taylor–Dean open device are given. Observations made at the inlet, the core and the outlet of the flow show that different flow patterns can develop simultaneously. The formation and the growth of the structures observed versus control parameters are described. To cite this article: A. Ait Aider et al., C. R. Mecanique 333 (2005).     

Weak ferromagnetism in LaMnO3

The magnetic properties of ( La _1-x Sr x ) MnO ₃ crystals have been studied. The ac susceptibility has been measured at frequencies ranging from 10 Hz to 1 000 Hz. The x = 0.25 crystal shows a typical ferromagnetic behaviour with a dimensionless SI susceptibility of 6 below T c = 350 K limited by the demagnetizing field. Both x = 0 and x = 0.06 crystals show very sharp peaks in and at the Néel points, 139 K and 135 K respectively. This is quite unlike the usual behaviour of an antiferromagnet. Magnetization measurements on an untwinned single crystal of LaMnO ₃ show a weak moment of at 4.2 K which is directed along the c axis. The origin of this canted antiferromagnetic structure is discussed in terms of anisotropy and of Dzyaloshinskii-Moriya interaction. It is concluded that anistropy is insufficient to explain the canted antiferromagnetism. Received 8 January 1999     

Nonresonance between the first two eigenvalues for a Steklov problem

In this paper, we study the solvability of the Steklov problem Δ_pu=|u|^p−2u in Ω, on ∂Ω, under assumptions on the asymptotic behaviour of the quotients f(x,s)/|s|^p−2s and pF(x,s)/|s|^p which extends the classical results with Dirichlet boundary conditions that for a.e. x∈∂Ω, the limits at the infinity of these quotients lie between the first two eigenvalues.     

Synthesis via sol–gel process and characterization of novel organic–inorganic coatings

Organic–inorganic coatings were synthesized from tetraethoxysilane (TEOS) and vinyltriacetoxysilane (VTAS) via dual process involving sol–gel reaction and radical polymerization. The deposition of the films was carried out using the spin-coating technique with the sample holder spinning at 1500 rpm. In order to determine the nature of products formed during the sol–gel reaction (i.e. polymerization) and to study the kinetics of this reaction, Fourier transform infrared (FTIR) spectroscopy experiments were performed. This technique allows also determining the optimal temperature of the final heat treatment. Thermogravimetric analysis (TGA) was used to study the influence of the ratio of organic and inorganic components on the thermal stability of the organic–inorganic hybrid, while differential scanning calorimetry (DSC) was used to determine its glass transition temperature. The chemical structure of this prepared hybrid material is also studied using FTIR with attenuated total reflection (ATR) device.Finally, the homogeneity of the chemical composition of the synthesized materials was checked by using the elemental distributions obtained by an energy dispersive spectrometer (EDS) attached to a scanning electron microscope (SEM). Moreover, nanoindentation measurements on thin films show enhanced hardness and elastic modulus with increasing silicate network.     

Noise probe of the dynamic phase separation in La(2/3)Ca(1/3)MnO3

Giant random telegraph noise (RTN) in the resistance fluctuation of a macroscopic film of perovskite-type manganese oxide La(2/3)Ca(1/3)MnO3 has been observed at various temperatures ranging from 4 to 170 K, well below the Curie temperature ( T(C) approximately 210 K). The amplitudes of the two-level fluctuations vary from 0.01% to 0.2%. We discuss the origin of the RTN to be a dynamic mixed-phase percolative conduction process, where manganese clusters switch back and forth between two phases that differ in their conductivity and magnetization.