A conjectural extension of Hecke’s converse theorem

By using specific subsequences of two different types of generalized Stern polynomials, we obtain several related classes of finite and infinite continued fractions involving a single term \(z^{t^j}\) in their partial numerators, where z is a complex variable and t is a positive integer. This approach is extended to other, sparser, subsequences of Stern polynomials, based on certain Lucas functions; this then leads to further infinite classes of continued fractions.     

Microwave-assisted synthesis of phenylene-bridged aminophosphine ligands: acceleration of N-arylation and aryl fluoride phosphorylation reactions

Hindered beta-aminoarylphosphines show promise as bidentate ligands for metal centers, but their reported synthesis requires heating at high temperatures for several days. Herein are reported conditions by which the two steps composing this synthesis, Buchwald-Hartwig amination and nucleophilic phosphorylation reactions, may both be completed in less than 3 h using microwave irradiation. The effects of several parameters on the outcome of the amination reaction are discussed, as are some indications of the scope within which each of these microwave protocols is effective.     

Manganese(II) and cobalt(II) complexes of 1,4‐bis(diphenylphosphinoyl)butane

The title complexes, catena‐poly[[[diaquadiethanolmanganese(II)]‐μ‐1,4‐bis(diphenylphosphinoyl)butane‐κ²O:O′] dinitrate 1,4‐bis(diphenylphosphinoyl)butane solvate], {[Mn(C₂H₆O)₂(C₂₈H₂₈O₂P₂)(H₂O)₂](NO₃)₂·C₂₈H₂₈O₂P₂}_n, (I), and catena‐poly[[[diaquadiethanolcobalt(II)]‐μ‐1,4‐bis(diphenylphosphinoyl)butane‐κ²O:O′] dinitrate 1,4‐bis(diphenylphosphinoyl)butane solvate], {[Co(C₂H₆O)₂(C₂₈H₂₈O₂P₂)(H₂O)₂](NO₃)₂·C₂₈H₂₈O₂P₂}_n, (II), are isostructural and centrosymmetric, with the M^II ions at centres of inversion. The coordination geometry is octahedral, with each metal ion coordinated by two trans ethanol molecules, two trans water molecules and two bridging 1,4‐bis(diphenylphosphinoyl)butane ligands which link the coordination centres to form one‐dimensional polymeric chains. Parallel chains are linked by hydrogen bonds to uncoordinated 1,4‐bis(diphenylphosphinoyl)butane molecules, which are bisected by a centre of inversion. Further hydrogen bonds, weak C—H...O interactions to nitrate anions, and weak C—H...π interactions serve to stabilize the structure. This study reports a development of the coordination chemistry of bis(diphenylphosphinoyl)alkanes, with the first reported structures of complexes of the first‐row transition metals with 1,4‐bis(diphenylphosphinoyl)butane.     

Protein profile of osteoarthritic human articular cartilage using tandem mass spectrometry

Articular cartilage contains both chondrocyte cells and extracellular matrix (ECM) components. Currently, comprehensive information concerning the protein composition of human articular cartilage tissue is somewhat lacking. In this report we detail the use of tandem mass spectrometry (MS/MS) for a preliminary global identification of proteins from human articular knee cartilage tissue from patients diagnosed with osteoarthritis. Knee cartilage supernatant was fractionated using one-dimensional sodium dodecyl sulfate polyacrylamide gel electrophoresis (1D-SDS-PAGE), in-gel digested and peptide sequences were then determined by performing on-line nano-liquid chromatography (LC)/MS/MS experiments using an ion trap mass spectrometer. Altogether, over 100 different proteins from nearly 700 unique peptide sequences were detected by MS/MS. The majority of the proteins identified are involved in ECM organization (35%), signal transduction and cell communication (14%), immune response (11%) and metabolism and energy pathways (11%). Proteins observed included several well-known cartilage components as well as lower abundant lesser known ECM proteins. Possible degradation products in the cartilage sample, such as from cartilage link protein, could also be detected by our mass spectrometry methods. We show here that mass spectrometry can be utilized as a tool for a fast, accurate and sensitive analysis of a complex mixture of cartilage proteins. It is believed that this type of proteomic analysis will aid future work centered on investigating the pathology of this and other related joint diseases.     

Reconstruction of through-surface underwater imagery

We present a technique for rectifying distorted imagery collected by an upward-looking, submerged camera for the purpose of reconstructing the above-surface scene. Radial surface slope is deduced near extinction boundaries separating regions of transmission and internal reflection. The radial slope measurements are fit to an estimate of the distorting surface, which is recursively improved so as to minimize the quadratic measurement error. The surface is assumed to obey linear wave dynamics. After surface estimation, the above-surface scene is reconstructed by inverse ray tracing. Results of testing the wave estimation and inverse-ray tracing algorithms against simulated underwater data are presented.     

High-performance liquid chromatographic method for the determination of alprazolam in plasma using the column-switching technique.

A reversed-phase high-performance liquid chromatographic method is described for the quantitative determination of alprazolam in the plasma of geriatric patients in the presence of 4-hydroxyalprazolam, alpha-hydroxyalprazolam, bromazepam, oxazepam, lorazepam, clobazam, desmethylclobazam, diazepam and desmethyldiazepam. The procedure is based on the enrichment of alprazolam on a PRP-1 pre-column, followed by the transfer of the compound in a forflush mode to the analytical column. Alprazolam can be quantified reliably down to a minimum concentration of 1 ng/ml of plasma.     

The hydroxyacetylpiperidines and their N-benzyl derivatives. The 2-hydroxymethyl-2-piperidyl- and 2-hydroxymethyl-2-pyridyl-1,3-dioxolanes

The hydroxyacetylpiperidines, their ethylene ketals, and the N-benzyl derivatives of these new piperidines have been synthesized. Methylolation of 2-(2- and 4-pyridyl)-1,3-dioxolanes by heating with paraformaldehyde at 185° led to 2-hydroxymethyl-2-(2- and 4-pyridyl)-i,3-dioxolanes ( 7,8 , respectively). 2-Hydroxymethyl-2-(3-pyridyl)-1,3-dioxolane ( 13 ) was obtained by reaction of 2-bromomethyl-2-(3-pyridyl)-1,3-dioxolane with aqueous sodium hydroxide at 190°. Hydrogenation of these pyridine ketals with rhodium-charcoal catalyst produced the corresponding piperidine ketals (16,17,18). Acid hydrolysis of the piperidine ketals and their N-benzyl derivatives led to the hydroxyacetylpiperidines (1,2,3) and their N-benzyl derivatives (25,26,27). The N-benzylhydroxyacetylpiperidines undergo rapid hydrogenolysis with palladium-charcoal catalyst to produce the hydroxyacetylpiperidines. Further hydrogenation produces the piperidyl-1,2-ethanediols. The hydroxyacetylpiperidines are somewhat unstable, hygroscopic substances which polymerize with dehydration on standing; in solution they are relatively stable. Their N-benzyl, ketal, and hydrochloride salt derivatives, on the other hand, represent stable, synthetically useful intermediates from which the reactive trifunctional hydroxyacetylpiperidines may readily be prepared.     

Thermally stable,photoactive polymerizable diazenes. Applications in polymer technology

New and useful nonpolymerizable and polymerizable diazene free radical initiators have been designed, based on molecular orbital and empirical linear free energy calculations. The design of the polymerizable diazenes has been based on four requirements: independent reactivities of azo and vinyl moieties, high thermal stability of the trans-diazene isomers, efficient convertability of the trans isomer to the cis isomer, and high thermal reactivity (to produce free radicals) of the cis-diazene isomers. The cis-diazene isomers are obtained from the trans isomers by irradiation with visible light. A new free radical initiator has been shown to be useful in preparing graft copolymers and in crosslinking polymer chains by visible light activation. Poly(styrene-co-2-(meta-styrylazo)-2-methoxypropane) (2) was prepared by the copolymerization of styrene monomer and 2-(meta-styrylazo)-2-methoxypropane (1), either thermally or via a free radical initiator. Copolymer 2 then was reacted with methyl methacrylate monomer in the presence of visible light, to produce poly (styrene-g-methyl methacrylate) (6). Poly(styrene-co-2-(meta-styrylazo)-2-methylpropane) (17), prepared by the copolymerization of styrene monomer and 2-(meta-styrylazo)-2-methylpropane (15), was successfully crosslinked at elevated temperatures. © 1999 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 37: 3203–3213, 1999     

catena‐Poly[[bis(nitrato‐κ2O,O′)copper(II)]‐μ‐propane‐1,3‐diylbis(diphenylphosphine oxide)‐κ2O:O′]

The structure of the title complex, [Cu(NO₃)₂(C₂₇H₂₆O₂P₂)]_n, consists of polymeric chains formed by propane‐1,3‐diylbis(diphenylphosphine oxide) ligands bridging between metal centres. The Cu atom lies on a twofold rotation axis and a further symmetry centre bisects the bridging bisphosphine dioxide ligand. The CuO₆ coordination geometry is a distorted octahedron, with the bidentate chelating nitrate groups adopting a cis configuration.