Contribution à l'étude de la production des ions multichargés des gaz rares

An ion source is described which is confined magnetically with axial extraction. The parameters of the source can be measured directly and are independant of one another. The intensity of the ionizing electron beam can vary from 2 to 50 mA and the energy of the fast electrons is between 500 and 4000 eV. The pressure in the source can be controlled and measured to within 2 · 10⁻⁶–3 · 10⁻³ torr. The effects of the parameters of the source on the production of multicharged ions of the rare gases have been investigated. The charges are found to be 6 for neon, 7 for argon and 10 for krypton and xenon. The intensity of the ion current for the highest ionic charges are above 10⁻¹² A. These ions are produced by a single electronic impact. The reduced ionization cross-sections are in good agreement with previous data.     

Sur la remanence de la magnétisation par déplacement des parois de Bloch et la cinétique de sa desaimantation

Sans résumé

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L'Étude de la Structure Électronique des Métaux des Terres Rares

In rare earth metals, one can neglect interactions between 4f shells centred on neighbouring sites. The conduction band is occupied by three sd electrons (eventually two in europium and ytterbium). These sd electrons are coupled to the f electrons through an interaction of the form where s _e is the spin of a conduction electron and Sf _i the spin of the ith f electron of a given ion. It is therefore possible to consider two groups of properties:

1. The ones, related to the nature of the conduction electrons, change very little through the series: this is the case of the crystalline structure, of the atomic volume.

2. The others, such as the magnetic properties, are related to the internal shells and vary with the filling of the 4f shell. Experiment shows a correlation between those two groups of properties. De Gennes formalism, essentially valid in the hypothesis of tightly bound 4f electrons, gives a satisfactory picture of the properties of the metals in the second half of the series, but it does not give as good a picture for the first rare earth metals, especially for cerium. In the cerium free atom, the 4f, 5d, 6s states have comparable energies and one might think that, in the trivalent metal, the 4f states are broadened in energy by resonances with the extended sd states, but still do not overlap from one atom to the other. They would then occupy virtual bound states analogous to the virtual bound states described by Blandin and Friedel for the transition impurities in noble metals.

An identical situation seems to occur in ytterbium under pressure: one observes a huge increase of the electrical resistivity which goes back to low values at very high pressures. This might also be the case of the actinide metals, especially of Plutonium, in which the 5f states begin to stabilize. So we have to consider two cases:

1. The 4f electrons occupy bound states.

2. The 4f electrons occupy virtual bound states.

In the first part (§ 2), we use de Gennes formalism for 4f bound states. The energy related to magnetic interactions is computed making the assumption of a spherical Fermi surface. A correlation between the crystalline structure and the magnetic properties shows up. In the second half of the series, one can neglect the crystalline field effects and the total energy is the sum of the magnetic term and of the elastic term due to the contribution of the conduction electrons. For every state of magnetic order, the crystalline structure is well defined, corresponding to the minimum of the total energy, and conversely. It is possible to explain in this manner:

1. The b.c.c. structure of europium, which is unusual for a divalent transition metal.

2. The variation of the c/a ratio of the h.c.p. structure both through the series and with temperature.

3. The anomalies in the thermal expansion coefficient observed below the magnetic order-disorder transitions.

4. The helix pitch of the magnetic configurations of this type.

The anomalies of the thermoelectric power observed at the transition points are related to the different dependences of the spin correlations above and below the transition temperatures. The agreement between theory and experiment is satisfactory. Some discrepancy can be attributed to the rather crude approximation of a spherical Fermi surface.

In the second part (§ 3), we deal with a situation where the 4f electrons occupy virtual bound states. These levels are very narrow, about 10^?2 ev wide, and separated in energy by the correlations between electrons. Using Blandin's formalism we calculate the electrical and magnetic properties associated with such a situation. Calculations lead to very strong magnetic coupling; the indirect interaction between magnetic ions is antiferromagnetic for first nearest neighbours, whereas in the case of 4f bound states it is ferromagnetic. Finally, it is possible to explain the properties of cerium and ytterbium.

1. In Cerium, the two first levels overlap at the Fermi level, in such a way that the f electron be almost entirely distributed in the first level.

2. In ytterbium, under pressure, the fourteenth level comes across and above the Fermi level. The maximum resistivity is obtained for a half filling of this level.

In the third part (§ 4), we attempt to apply this model of virtual bound states to plutonium, although in this metal, the 5f shells have a larger spatial extension than the 4f orbitals in rare earths. Anomalies in several physical properties of plutonium seem to indicate a magnetic transition at about 65° K, but no anomaly shows up in the magnetic susceptibility. Using a virtual bound state model associated with a very small polarization of the 5f states, it is possible to explain all the physical properties of plutonium. This model leads to a very small magnetic moment, that cannot be detected by experiment.     

Cosmologies primordiales: Leurs variété, leurs constraintes

This paper presents some ingredients of the ≪new cosmology≫ that arose from the recent developments of high energy physics: non standard matter, extra dimensions and corrections to the Einstein-Hilbert lagrangian. Their cosmological effects will be illustrated by some examples. We shall insist on the theoretical constraints implied by the requirement that they should yield cosmological models without manifest pathologies and tending to the standard scenario.     

Étude théorique des transferts couplés de chaleur et de masse lors de la désorption du couple zéolithe 13X-eau

A mathematical model based on scale changing has been established, in order to study heat and mass transfers in a zeolithe bed during water desorption. The model has been solved numerically by the finite-volume method, for the case of two-dimensional transfers. The numerical simulation is used to present the time-space evolution of the solid temperature, the pressure and the moisture content in the reactor and to determine the sensitivity to some parameters (heating temperature, outlet temperature, heat coefficients and reactor geometry). The effects of the particle diameter, the kinetic constant of desorption as well as the effective thermal conductivity are discussed.     

Étude analytique des instabilités induites à la transition ébullition nucléée — ébullition en film

After a reminder of the static stability criterion of a system with non-linear characteristics, the thermal stability of a single-dimensional system was studied with the help of simple analytical methods. The influence of axial conduction, connected in particular with limit conditions, was highlighted and it was demonstrated that even if the static stability criterion is verified, the system can present second order instability over part of its intrinsic character. Multiple stationary states can also be superimposed on the instability. A more sophisticated analytical method allowed the existence of several temperature profiles to be verified on a heated conductor wire, dependent on the value of the amperage of the electric current. An experimental visualization confirms the existence of three temperature profiles, corresponding to three different heat exchange regimes.     

De la microstructure du polymère à ses propriétés rhéologiques

We extend the previous work by Benallal et al. on the relationship between structure and rheological properties of linear polymer melts. The aim of this paper is to quantify the effect of the chemical structure on the viscoelastic properties. We show that these properties are governed by the monomer dimensions and the interaction energy. To cite this article: A. Allal et al., C. R. Physique 3 (2002) 1451–1458.     

Effets produits par l'irradiation avec des neutrons et avec des rayons gammas sur la série jaune et la série verte du spectre d'absorption excitonique de la cuprite

The effects of irradiations in a reactor and in a Cobalt 60 source on the green and yellow series of the excitonic absorption spectrum of cuprous oxide are studied. In the reactor irradiation experiments, the effects of fast neutrons are separately studied from those of thermal neutrons and of gamma rays. It is shown that the perturbations of the absorption spectra of Cu₂O by fast neutrons are very similar to those produced by an external electric field. They are also similar to those produced by quenching which creates probably internal strains. Charged defects occur probably in the crystal during bombardment and these charged defects produce an internal electric field and strains. It is not possible to study separately the effects of the electric field and the effects of strains. The electric field can be evaluated by comparison of its effects on the excitonic spectrum with those of an external field. An evaluation of the rate of creation of defects by fast neutrons in the crystal is deduced. It is also shown that the effects of gamma-rays are very different from those of fast neutrons. It is possible with gamma-ray irradiations to decrease residual internal fields which may exist in a crystal.     

Identification optimale des propriétés thermophysiques d’un revêtement

The inverse problem of simultaneous estimation of diffusivity and effusivity of a coating is solved. It deals with: the experiment definition (pulsed photothermal method), the developpement of the corresponding parametrized direct model, the minimisation of the ordinary least squares objective function and the analysis of confidence of the estimated parameters. The optimal design of experiment, based on the analysis of the sensitivity coefficients of the direct model, enables to limit the noise amplification during inversion. Such a methodology has made a coating caracterisation possible, even if its thermophysical properties were close to those of Us substrate (chromium/steel).     

Identification des propriétés thermiques de composites fibres de verre/résines thermodurcissables: Application à l'optimisation des procédés de moulage

Identification of glass fiber/thermosetting resins composites thermal properties. Application to the optimization of molding processes. A procedure has been developed to optimize molding processes of thermosetting composite materials. Three stages have been distinguished. In the first one, some thermal and kinetic properties have been measured by differential scanning calorimetry. Thermal conductivities have been identified afterwards in thick instrumented pieces, placed in a thermally regulated press. High dependences of thermal conductivities on temperature and transformation degree have been shown. Secondly, coupled heat transfers have been numerically simulated and results have been satisfactorily compared with experimental thermograms. Finally, optimization technics based on effective inverse methods have been used.These points have been illustrated with two examples : glass fiber/epoxy resin and glass fiber/polyester. Sufficient mechanical characteristics of the first one, which is cured in oven, and good surface aspect of the second, that is made by injection in heated and closed molds, had to be obtained. The results let foresee real improvement of the corresponding molding processes.     

Propriétés d'extinction des fumées produites par le fioul domestique en combustion vive

A study dealing with the opacity and radiating power of smoke produced during flame combustion of heating oil is conducted. A quantity combining the smoke extinction coefficient, fuel-mass-loss rate and smoke volume flow rate is defined. This quantity, called specific extinction area, is shown to be conserved when varying combustion parameters. Its dependence with respect to radiation wavelength is derived through extinction measurements and compared to the theoretical evolution. Finally, smoke particles are characterized by size and concentration and the possible changes in size and structure of particles, in relation to modifications in environmental conditions, are discussed.     

Effets comparés des impuretés de terres rares sur la résonance ferrimagnétique et la relaxation nucléaire dans le grenat de fer et d’yttrium

The anomalous properties of impure yttrium iron garnet are related to the susceptibilities of the rare earth ions which it contains. The susceptibilities are calculated assuming a slow relaxation. It is shown that the success of the theory of “slow relaxation” requires the existence of a coupling between the transverse magnetization of the iron lattice on the one hand, and components of the magnetic moments of the rare earth ions, with non zero diagonal matrix elements, on the other hand. The temperature variations of the ferrimagnetic linewidth and the nuclear relaxation time are compared.     

Quelques propriétés optiques du laser tunnel

The cw oscillation of a tunnel laser is demonstrated. The high losses encountered in tunneling systems are here compensated for by a high gain amplifying medium for barrier widths between 0 and λ/2. For a first particular angle of incidence, the TM frequency remains invariant when the total length of the laser is varied. For a higher value of the incidence angle, the frequency associated with the TE polarization increases while the frequency associated with the TM polarization undergoes a negative variation when the total length of the laser is reduced.     

Étude tridimensionnelle du transfert radiatif dans un milieu semi-transparent diffusant anisotrope par la méthode des transferts discrets modifiée

The development of the modified discrete transfer method (MDT) in a three-dimensional rectangular configuration allowed us to simulate the thermal behaviour of a semi-transparent, grey, absorbing emitting and anisotropically scattering medium at the radiative equilibrium. An internal source distributes heat uniformly in the medium while the walls of the enclosure that surround it, opaque, grey, diffuse for emission and reflection, are submitted to prescribed temperatures. A linear variation law of the temperature, as well as the scattered radiation intensity, within a grid cell associated with the direction set of the discrete ordinates method has been adopted. A grid close enough to each inner wall was necessary for a better estimation of the incident flux near the singularities of the considered system. These global improvements led to a new version of the stable MDT method, as accurate as the zonal method and as flexible as the discrete ordinates one.     

Modélisation des jets turbulents subsoniques fortement chauffés

Among different approaches of the statistic treatment of the transport equations for variable-density fluid flows, a formulation is adopted which isolates the turbulent mass-fluxes contribution. It deals with centred statistical moments only. This choice enables the discussion of the transposal of constant-density closure-schemes to mass-weighted variables of heated free shear flows. The discussion focuses on first- and second-order closures for diffusion terms. The content of standard closure schemes in Favre variables is detailed. Concluding points are given concerning the relevancy of the different initial statitistical treatments to set the proper formal frame for deriving closure-schemes. Parabolic numerical simulations of heated jets including first- and second-order closures are then examined. The prediction of experimentally-asserted features of density effects on the mean field of variable density jets is verified. Some effects on turbulent quantities are underlined too. Comparaisons between mass-fluxes predicted at first- and second-order reveal that a first-order closure is likely to be sufficient.