On strongly exposed points and frechet differentiability

Using properties of convex functionals, it is shown that closed and bounded convex sets in a class of Banach spaces which includes separable conjugate spaces are the closed convex hulls of their strongly exposed points. This research was supported by the National Research Council of Canada, Grant A-3999.     

Exakte Reduktion Der Allgemeinrelativistischen Dirac-Gleichung Auf Eine Pauli-Typ-Gleichung. I

Acta physica Academiae Scientiarum Hungaricae - Im Teil I wird die allgemeinrelativistische Dirac-Gleichung mittels geeigneter Nullteiler exakt auf eine mit der Paulischen σ(a)-Algebra...     

Magnetohydrodynamic pressure drop in ducted two-phase flows

Two models are presented for predicting magnetohydrodynamic pressure drop in two phase gas—liquid flows of conducting fluids for large values of Hartmann number. The first of these models treats the gas—liquid mixture as a single homogeneous pseudofluid with averaged mixture properties. The second model assumes that the flow pattern is one where the liquid is displaced to the duct walls as a liquid film and the gas flows in the central core. It is shown that the two models do not differ significantly in their predictions of overall pressure drop for vaporising two-phase flow of potassium. There is little experimental data available for testing the models but very satisfactory agreement is found between measurements of magnetic pressure drop of NaK—nitrogen mixtures at low quality and the predictions of both models.     

Metal-organic framework from an anthracene derivative containing nanoscopic cages exhibiting high methane uptake

A microporous metal-organic framework, PCN-14, based on an anthracene derivative, 5,5'-(9,10-anthracenediyl)di-isophthalate (H4adip), was synthesized under solvothermal reaction conditions. X-ray single crystal analysis revealed that PCN-14 consists of nanoscopic cages suitable for gas storage. N2-adsorption studies of PCN-14 at 77 K reveal a Langmuir surface area of 2176 m2/g and a pore volume of 0.87 cm3/g. Methane adsorption studies at 290 K and 35 bar show that PCN-14 exhibits an absolute methane-adsorption capacity of 230 v/v, 28% higher than the DOE target (180 v/v) for methane storage.     

A fast synthetic route to GDP-sugars modified at the nucleobase

The direct structural modification of GDP-mannose via the bromination and Suzuki-Miyaura cross-coupling of the unprotected sugar-nucleotide, to produce 8-substituted fluorescent analogues of GDP-mannose.     

Metal-organic framework based on a trinickel secondary building unit exhibiting gas-sorption hysteresis

An interpenetrating microporous metal-organic framework based on a mu3-oxotrinickel basic carboxylate secondary building unit has been synthesized and structurally characterized. It exhibits pronounced gas-sorption hysteresis and selective adsorption of carbon dioxide over methane.