Canonical relations defined by intersecting hypersurfaces in a symplectic manifold

Mathematische Annalen -     

Thermal and electrical properties of heavy current arc column in SF6 gas

Numerical computations of the electrical properties and temperature profiles of wall-stabilized arcs in sulphur hexafluoride, SF₆, at 1 ata are presented. The voltage gradient vs. arc current characteristic curve has a minimum point at which the axial temperature is the same inherent value of the gas independent of the arc radius. Also, the radial temperature distributions up to several hundreds of amperes corresponding to the axial temperature of some 20000 °K have been computed.     

Transfer rate of several tris(beta-diketonato)iron(III) complexes at the bulk aqueous--Triton X-100 micellar interface: effects of substituent groups in the extractants

The transfer rate of tris(beta-diketonato)iron(III) complexes with acetylacetone, benzoylacetone, trifluoroacetylacetone, benzoyltrifluoroacetone, and 2-thenoyltrifluoroacetone at the water-Triton X-100 micellar interface was measured by stopped-flow spectrophotometry. The forward transfer rate was first-order with respect to the micellar concentration; the rate-determining step was concluded to be the capturing process of the collided complex at the micellar surface. The value of the rate constant varied with the substituent groups in the extractants; several effects of the substituent groups on the transfer rate were observed. The "mantlephobicity" of the trifluoromethyl group because of its low wettability, the hydrophobicity of the phenyl and thienyl groups in light of their bulkiness, the dilution of the negative efficiency of the trifluoromethyl group at the capturing by enlarging the complex surface with these bulky groups, and the "mantlephilicity" of the thienyl group from its interaction with the hydrogen-bonded network of the micellar "mantle" were estimated. In contrast, the backward rate was independent of the micellar concentration, and the order could be explained by the distribution of the tris-complexes between the "core" and "mantle" of the micelle. The "core-mantle" double-layer structure of the micelle would be an important key for the behavior at the interface.     

Note on the class numbers of certain real quadratic fields

We prove that the class number of the real quadratic field is divisible byn forany integern ≥ 2 andany odd integera ≥ 3.     

Vinyl polymerization. 410. Polymerizations of vinyl monomers initiated by poly(styrene-co-sodium acrylate) or poly(methyl methacrylate-co-sodium methacrylate). A verification of the concept of hard and soft hydrophobic areas and monomers

It was found that the copolymers of sodium acrylate (AA-Na) with styrene (St) and of sodium methacrylate (MAA-Na) with methyl methacrylate (MMA) could polymerize vinyl monomers in an aqueous phase without the usual initiator. Interestingly, there was a definite composition of the copolymer for the polymerization of a given monomer; for example, when poly(St-co-AA-Na) was used, St, MMA, vinyl acetate, ethyl acrylate, methyl acrylate, and acrylonitrile were polymerized by the copolymer having mole ratios of AA-Na:St of 0.61:0.29, 0.47:0.53, 0.38:0.62, 0.30:0.70, 0.24:0.76, and 1.00:0, respectively. The copolymers of various compositions can form hydrophobic areas (HAs) in the water phase. As has been repeatedly reported, the polymerization proceeds in the HAs, and the following new hypothesis was recently proposed that the hard (the less hydrophilic) HA prefers to incorporate the hard monomer and the soft (the less hydrophobic or the more hydrophilic) HA prefers to incorporate the soft monomer. The results mentioned above support this hypothesis.     

Development of a fast risetime pulsed relativistic electron beam generator for the excitation of shorter wavelength lasers

We have developed a compact and simple high current relativistic electron beam (REB) generator for the excitation of lasers in the shorter wavelength region. This REB generator mainly consists of a Tesla transformer-type high-voltage generator, N₂ gas insulated Blumlein-type pulse-forming line and cold-cathode electron gun to generate 800 keV, 12 kA pulsed electron beams with 6 ns current duration and approximately 4 ns current risetime. The design and operational characteristics along with discussions of the excitation capabilities of the gas laser media are presented in this paper.     

Polaritons and optical phonon assignment in orthorhombic HCOOLi·H2O crystal by Raman scattering measurement

Optical phonon modes of orthorhombic HCOOLi·H₂O crystal are investigated by laser Raman scattering technique. An A₁ mode polariton with energy between 1250 cm^-1 and 1343 cm^-1 is observed by near-forward Raman scattering using Ar laser.     

Spectral narrowing of a dye laser oscillation using an intracavity vapor prism

A new method for narrowing the oscillation spectrum of a broad-band dye laser is reported in this paper. The narrowing is achieved by a vapor prism placed inside the laser cavity, which is based on an anomalous dispersion of the atomic vapor so that the narrowing effect occurs only in the vicinity of the absorption line. Using a sodium vapor prism inside a Rhodamine 6G dye laser cavity, an oscillation linewidth less than 0.01 nm was attained at a sodium temperature of 320°C.