Convergence on closed convex sets in a locally convex space

The purpose of this paper is to compare several kinds of convergences on the space C(X) of nonempty closed convex subsets of a locally convex space X. First we verify that the AW-convergence on C(X) is weaker than the metric Attouch-Wets convergence on C(X) of a metrizable locally convex space X. Moreover, we show that X is normable if and only if the two convergences on C(X × R) are equivalent. Secondly we define two convergences on C(X) analogous to the corresponding ones in a normed linear space, and investigate some basic properties of these convergences and compare them.     

An inequality for self-inversive polynomials

A sharp L^p, p ? 1, inequality for the class of self-inversive polynomials is obtained.     

Excess volumes and viscosities of mixtures of dimethylsulfoxide with normal alcohols at 40°C

Excess volumes and viscosities have been determined for DMSO + n-hexanol, + n-heptanol, + n-octanol, and + n-decanol at 40°C. The excess partial molar volumes V ₁ ^E , changes in viscosities , the parameter d of the Grunberg and Nissan expression, and excess Gibbs free energies of activation of flow G _* ^E have been calculated from the experimental data. All the excess volumes are positive over the whole composition range, with V ^E increasing with the length of the alkanol chain. V ^E results are discussed in terms of disruption of alkanol multimers, weakening of interactions between DMSO molecules, influence of interactions between components, and structural effects. The V ^E data have also been analyzed using the Prigogine-Flory-Patterson expression which separates V ^E into three contributions. Correlation is also observed between the sign of and V ^E for all the mixtures studied.     

Excess volumes of quinoline with nitroalkanes: Interpretation by the Prigogine-Flory-Patterson theory

Excess volumes of V ^E of binary liquid mixtures of quinoline with each of the nitroalkanes have been measured at 30°C as a function of composition using a continuous dilution dilatometer. The excess volumes are negative over the whole mole-fraction range for all the mixtures except quinoline + nitromethane, which exhibits positive V ^E over the whole range. V ^E results have been analyzed in the light of the Prigogine-Flory-Patterson theory, which divides V ^E into three contributions. The agreement between experimental and theoretical values is reasonably good.     

Time-reversible continuum mechanics

Levesque and Verlet developed a time-reversible and bit-reversible computational leapfrog algorithm. Their algorithm uses integer arithmetic and is exactly time reversible to the last computational bit describing the particle coordinates. We generalize their idea, developed for atomistic molecular dynamics, to smoothed-particle continuum mechanics. In the special case of a two-dimensional isentropic ideal gas, these two approaches, one microscopic and the other macroscopic, are isomorphic. In the more general nonadiabatic case, but still without dissipative terms, our continuum extension of the leapfrog scheme remains stable and also exhibits the exact time and bit reversibility associated with Levesque and Verlet's atomistic approach.     

Boric Acid as Highly Efficient Catalyst for the Synthesis of Phenols from Arylboronic Acids

A simple, efficient, and environmentally benign boric acid catalyzed methodology for the ipso‐hydroxylation of arylboronic acid to phenol has been developed using aqueous hydrogen peroxide as an oxidizing agent and ethanol as the solvent. The versatility of this protocol is that the reactions were performed at room temperature in short reaction time under metal‐, ligand‐, and base‐free conditions.     

Prediction of the thermophysical properties of molten salt fast reactor fuel from first-principles

Molten fluorides are known to show favourable thermophysical properties which make them good candidate coolants for nuclear fission reactors. Here we investigate the special case of mixtures of lithium fluoride and thorium fluoride, which act both as coolant and as fuel in the molten salt fast reactor concept. By using ab initio parameterised polarisable force fields, we show that it is possible to calculate the whole set of properties (density, thermal expansion, heat capacity, viscosity and thermal conductivity) which are necessary for assessing the heat transfer performance of the melt over the whole range of compositions and temperatures. We then deduce from our calculations several figures of merit which are important in helping the optimisation of the design of molten salt fast reactors.     

Preparation of a sterile closed system99mTc generator based on zirconium molybdate

A procedure for preparation of a sterile closed system generator for^99mTc based on conversion to zirconium molybdate of⁹⁹Mo produced by neutron activation is reported. The generator is sterilized by autoclaving.^99mTc is eluted using 0.9% NaCl with high yield and purity in successive elutions.     

Two-step total synthesis of an anti-MRSA and myosin-inhibiting marine natural product pentabromopseudilin via Suzuki-Miyaura coupling of a MIDA boronate ester

A marine natural product isolated from Pseudoalteromonas sp., pentabromopseudilin, with promising anti-MRSA and myosin ATPase inhibition activities was synthesized in two steps using recently developed MIDA boronate Suzuki-Miyaura coupling technology. Additionally, bromination was shown to be necessary for the antimicrobial activity of pentabromopseudilin.