High pressure X-ray diffraction experiments on NpS and PUS up to 60 GPa

Abstract

Neptunium and plutonium monosulfides were studied under high pressure up to ～60 GPa using a diamond anvil cell in an energy dispersive X-ray diffraction facility. The compounds, of cubic rock salt structure type at ambient pressure, do not show any crystallographic phase transition in the domain of investigation. From the pressure-volume relationship, we determined bulk moduli of 92 and 120 GPa with pressure derivatives of 4.6 and 4.1 for NpS and PUS respectively.     

Observation of a non-adiabatic geometric phase for elastic waves

We report the experimental observation of a geometric phase for elastic waves in a waveguide with helical shape. The setup reproduces the experiment by Tomita and Chiao [A. Tomita, R.Y. Chiao, Phys. Rev. Lett. 57 (1986) 937–940, 2471] that showed first evidence of a Berry phase, a geometric phase for adiabatic time evolution, in optics. Experimental evidence of a non-adiabatic geometric phase has been reported in quantum mechanics. We have performed an experiment to observe the polarization transport of classical elastic waves. In a waveguide, these waves are polarized and dispersive. Whereas the wavelength is of the same order of magnitude as the helix’s radius, no frequency dependent correction is necessary to account for the theoretical prediction. This shows that in this regime, the geometric phase results directly from geometry and not from a correction to an adiabatic phase.     

Polynomial systems with few real zeroes

We study some systems of polynomials whose support lies in the convex hull of a circuit, giving a sharp upper bound for their numbers of real solutions. This upper bound is non-trivial in that it is smaller than either the Kouchnirenko or the Khovanskii bounds for these systems. When the support is exactly a circuit whose affine span is ℤⁿ, this bound is 2n+1, while the Khovanskii bound is exponential in n². The bound 2n+1 can be attained only for non-degenerate circuits. Our methods involve a mixture of combinatorics, geometry, and arithmetic. Part of work done at MSRI was supported by NSF grant DMS-9810361. Work of Sottile is supported by the Clay Mathematical Institute. Sottile and Bihan were supported in part by NSF CAREER grant DMS-0134860. Bertrand is supported by the European research network IHP-RAAG contract HPRN-CT-2001-00271.     

Laser-induced fluorescence with an OPO system. Part II: direct determination of lead content in seawater by electrothermal atomization–laser-excited atomic fluorescence (ETA–LEAF)

Fluorescence was induced by coupling a laser with an optical parametric oscillator (OPO) to develop an analytical method for the direct determination of lead content, at ultra-trace level, in seawater by electrothermal atomization-laser-excited atomic fluorescence (ETA-LEAF). The optimization of atomization conditions, laser pulse energy, and mainly temporal parameters allowed us to reach a 3 fg detection limit (0.3 ng L(-1)) despite the low repetition rate of the device. The expected error on predicted concentrations of lead, at trace levels, in seawater was below 15%.     

Is Every Toric Variety an M-Variety?

A complex algebraic variety X defined over the real numbers is called an M-variety if the sum of its Betti numbers (for homology with closed supports and coefficients in ) coincides with the corresponding sum for the real part of X. It has been known for a long time that any nonsingular complete toric variety is an M-variety. In this paper we consider whether this remains true for toric varieties that are singular or not complete, and we give a positive answer when the dimension of X is less than or equal to 3 or when X is complete with isolated singularities.An erratum to this article can be found at     

Chemistry of Preparation of Alumina Aerogels in Presence of a Complexing Agent

Transition alumina with both high specific surface area (SSA) and quite important pore volumes deserve some interest in the field of heterogeneous catalysis as such alumina can be used as supports for different active phases, namely those used in hydroprocessing reactions. Alumina has been synthesised by a sol-gel method for which a key parameter, examined in this study, is the introduction of chelating agents such as butan-1,3-diol or acetylacetone (Hacac) in the aluminium-tri-sec butylate (ASB, the chosen Al precursor) solution. The study of the complexation chemistry for a complexing agent/Al alkoxide molar ratio (C) equal to 1, 2 and 3 was carried out. Some species in initial solutions were identified by IR and ²⁷Al NMR spectroscopies, and the dried solids were characterised by the combined use of elemental analysis, XRD and IR spectroscopy. After hydrolysis of the precursor, the dried solids exhibited the boehmitestructure, more or less crystallised whatever the C ratio when butan-1,3-diol was used whereas a formulation Al(acac)(OH)₂ was obtained when Hacac was introduced with a ratio C = 1. It has been shown that the increase in the C ratio up to 2 or 3 induces the precipitation of well-defined Al(acac)₃ particles before hydrolysis. This compound was also present in small quantities in the dried gel for C = 1. After calcination at 500°C, more or less well crystallised -alumina was obtained. Compared to those of the reference alumina, the textural parameters are strongly modified by the use of a complexing agent. Moreover, Hacac has a stronger effect than butane-1,3-diol on the textural characteristics of the support.     

On-line sample preconcentration with chemical derivatization of bacterial biomarkers by capillary electrophoresis: a dual strategy for integrating sample pretreatment with chemical analysis

Simple, selective yet sensitive methods to quantify low-abundance bacterial biomarkers derived from complex samples are required in clinical, biological, and environmental applications. In this report, a new strategy to integrate sample pretreatment with chemical analysis is investigated using on-line preconcentration with chemical derivatization by CE and UV detection. Single-step enantioselective analysis of muramic acid (MA) and diaminopimelic acid (DAP) was achieved by CE via sample enrichment by dynamic pH junction with ortho-phthalaldehyde/N-acetyl-L-cysteine labeling directly in-capillary. The optimized method resulted in up to a 100-fold enhancement in concentration sensitivity compared to conventional off-line derivatization procedures. The method was also applied toward the detection of micromolar levels of MA and DAP excreted in the extracellular medium of Escherichia coli bacterial cell cultures. On-line preconcentration with chemical derivatization by CE represents a unique approach for conducting rapid, sensitive, and high-throughput analyses of other classes of amino acid and amino sugar metabolites with reduced sample handling, where the capillary functions simultaneously as a concentrator, microreactor, and chiral selector.     

Topological types of real regular Jacobian elliptic surfaces

We present the topological classification of real parts of real regular elliptic surfaces with a real section.      

Frequency-shift based detection of BMS contrast agents using SSFP: potential for MRA

A novel mechanism of MRI contrast enhancement, based on the detection by a balanced steady-state free precession (SSFP) sequence of the proton resonance frequency shift induced by bulk magnetic susceptibility (BMS) contrast agents, was investigated. The potential for this contrast mechanism to image blood vessels was explored. The relaxation time and the frequency shift effects of gadolinium- and dysprosium-DOTA on SSFP signal was first simulated and evaluated on a water phantom at 1.5 T. In vitro, a 5-mM concentration in contrast agent induced a 20-Hz frequency shift, leading to a signal increase of 92% for Dy-DOTA, and a 10-Hz frequency shift, leading to a signal increase of 58% for Gd-DOTA at the reference frequency, taking into account the nonlinear SSFP signal response on frequency offset. The concept was then evaluated in vivo on anesthetized rabbits. Low doses of dysprosium-DOTA were injected in their vascular system, and imaging was performed at the level of neck vessels. Following a bolus injection, mean signal changes of 31%, 20% and 14% were observed in the carotid arteries, the vertebral veins and the jugular veins, respectively. The bolus peak times in arteries and veins were consistent with the rabbit vascular circulation. This frequency-shift based contrast mechanism presents interesting potential for contrast-enhanced MR angiography (CE-MRA) compared to usual relaxation-based contrast, but further investigations on reproducibility will be necessary.     

Mecanisme d'hydratation des niobates alcalins lamellaires de formule A4Nb4O17 (A = K,Rb, Cs)

Two double oxides, K₄Nb₆O₁₇ and K₂Rb₂Nb₆O₁₇ · 5H₂O, have been synthesized as single crystals. Unit cell dimensions are a = 7.83, b = 33.21, c = 6.46 Å for the first and a = 7.84, b = 41.75, c = 6.50 Å for the second. The common space group is P2₁nb (Z = 4). The K₄Nb₆O₁₇ structure was solved by X-ray diffraction using three-dimensional Patterson and Fourier techniques with 1401 reflections collected on films. Comparison between the structure types of K₄Nb₆O₁₇ and Rb₄Nb₆O₁₇ · 3H₂O leads to elaboration of a pattern for the pentahydrate which was confirmed by the crystal structure. These results show that the hydration mechanism leads only to compounds with three or five molecules of water and they explain the differences of stability found between several compounds of the same type.