Subgroup separability of graphs of abelian groups

In the present paper we give necessary and sufficient conditions for the subgroup separability of the fundamental group of a finite graph of groups with finitely generated abelian vertex groups.

     

Intrazeolite photooxygenation of chiral alkenes. Control of facial selectivity by confinement and cation-π interactions

Depending on the nature of the substituents on the stereogenic carbon atom, the ene reaction of singlet oxygen with several chiral alkenes by confinement within thionin-supported zeolite NaY, may exhibit significant changes on facial selectivity by comparison to their photooxygenation reaction in solution. It is proposed that, apart from the conformational consequences as a result of the alkene confinement within the zeolite cavities, a synergism between Na⁺-π interactions and singlet oxygen-Na⁺ interactions plays a significant role in the transition states of ene hydroperoxidation. Within NaY, the diastereoselectivity may significantly depend on the site selectivity, as probed through specific deuterium labelling of trisubstituted alkenes bearing a gem-dimethyl group. In certain cases, a remote stereogenic centre relative to the reacting double bond may induce enhanced diastereoselection and regioselectivity.     

Novel disposable bismuth-sputtered electrodes for the determination of trace metals by stripping voltammetry

This work describes a novel type of bismuth electrode for stripping voltammetry based on coating a silicon substrate with a thin bismuth film by means of sputtering. The bismuth-based sensors were characterized by optical methods (scanning electron microscopy (SEM), atomic force microscopy (AFM) and X-ray diffraction (XRD)) and as well as by linear sweep voltammetry. Subsequently, the electrodes were tested for the detection of low concentrations of trace metals (Cd(II), Pb(II) and Ni(II)) by stripping voltammetry. Well-formed stripping peaks were observed for trace concentrations of the target analytes demonstrating “proof-of-principle” for these sensors. This type of electrochemical device, utilizing thin-film technology for the formation of the bismuth film, holds promise for future applications in trace metal analysis.     

Contact angle hysteresis: surface morphology effects

Irradiation of metallic surfaces using ultra-short pulse laser results in a dual-scale structure. While metallic surfaces are superhydrophilic immediately after laser irradiation, prolonged exposure to air renders surfaces superhydrophobic due to surface reactions and deposition of carbonaceous materials onto the surface. In this work, we have fabricated a paraboloid microstructure, which is analyzed thermodynamically through the use of the Gibbs free energy to obtain the equilibrium contact angle and contact angle hysteresis. The effects of the geometrical details on maximizing the superhydrophobicity of the nanopatterned surface are also discussed in an attempt to design surfaces with desired and/or optimum wetting characteristics.     

A partially mechanized system for the combustion of organic samples in a stream of oxygen with quantitative recovery of the trace elements

Summary A partially mechanized apparatus made of quartz (Trace-0-Mat) is described that permits the complete mineralization of up to 1 g of organic or biological solid samples. The combustion takes place in pure oxygen in a very small burning chamber (ca. 75 cm³) to subsequently determine metallic and nonmetallic trace elements (1 ng/g) with high reliability. The controllable incineration is started with an IR-radiator system. All volatile trace elements (e.g. Hg, Se, Te, As, Sb, I) are condensed together with the products of the combustion process in a cooling system filled with liquid nitrogen that is mounted on top of the burning chamber. Subsequent refluxing with a suitable acid in a quartz test tube mounted below the burning chamber collects both the volatilized elements from the cooled areas and nonvolatile elements in the ashing residue. The volume of the acid is about 2 ml.The recoveries of the elements following the decomposition process that takes 50–60 min for one sample was checked using 7 NBS-Standard Reference Materials for the elements B, Cr, Cu, Fe, Mn, Zn (ICP-emission spectrometry), Cd, Pb (ETA-AAS), Hg (AAS-cold vapor technique), As (AAS-hydride method) and Se (XRF). Very good agreement with the certified values was observed. This furnished evidence that this new and very general decomposition method is not only poor in blanks but also avoids substantially losses of the elements to be determined by volatilization, adsorption or even baking in the quartz surface. The easy handling of the apparatus offers the best premises for a reliable determination of trace elements in the g/g and ng/g range in most non-volatile organic matrices.

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Teilmechanisiertes System zur Verbrennung organischer Proben im Sauerstoffstrom mit quantitativer Wiedergewinnung der Spurenelemente

Zusammenfassung Ein teilmechanisiertes aus Quarz bestehendes System (Trace-0-Mat) wird beschrieben, das die vollständige Mineralisation fester organischer oder biologischer Proben bis zu Mengen von 1 g gestattet. Die Verbrennung findet dabei in reinem Sauerstoff in einer sehr kleinen Verbrennungskammer (etwa 75 cm³) statt, so daß anschließend die metallischen und nichtmetallischen Spurenelemente mit hoher Zuverlässigkeit bestimmt werden können. Die steuerbare Veraschung wird durch ein System von IR-Strahlern gestartet. Alle flüchtigen Spurenelemente (z. B. Hg, Se, Te, As, Sb, I) werden zusammen mit den Verbrennungsprodukten in einem Kühlsystem kondensiert, das mit flüssigem Stickstoff gefüllt und über der Verbrennungskammer angeordnet ist. Die sich an den gekühlten Flächen befindlichen flüchtigen sowie die in der Asche vorhandenen nichtflüchtigen Elemente werden durch Rückflußbehandlung mit einer kleinen Säuremenge (2 ml) gelöst und in einem Quarzglas unterhalb der Verbrennungskammer gesammelt.Die Wiederfindung der Elemente nach dem Aufschlußprozeß (50–60 min) wurde mit Hilfe von 7 NBS-Referenzmaterialien für folgende Elemente geprüft: B, Cr, Cu, Fe, Mn, Zn (ICP-Emissionsspektrometrie), Cd, Pb (ETA-AAS), Hg (AAS-Kaltdampftechnik), As (AAS-Hydridmethode) und Se (Röntgenfluorescenz). Es ergab sich sehr gute Übereinstimmung mit den zertifizierten Werten. Diese neue und sehr allgemein anwendbare Aufschlußmethode weist nicht nur geringe Blindwerte auf, sondern vermeidet auch wesentliche Verluste der zu bestimmenden Elemente durch Verflüchtigung, Adsorption oder Zusammenbacken an der Quarzoberfläche. Durch die einfache Handhabung der Apparatur ist eine zuverlässige Bestimmung von Spurenelementen im g/g- und ng/g-Bereich für die meisten nichtflüchtigen organischen Matrices gewährleistet.

     

Isolation and characterization of kallosin A,a novel rearranged pseudopterane diterpenoid from the Caribbean sea plume Pseudopterogorgia kallos (Bielschowsky)

The Caribbean alcyonacean Pseudopterogorgia kallos is shown to contain a novel rearranged pseudopterane diterpene, kallosin A (1), possessing several unusual structural features. In addition to having two distinct 2(3H)- and 2(5H)-furanone moieties, kallosin A is based on a new carbon skeleton. The structural assignment of 1 was based mainly on 1D and 2D NMR spectral data and was further supported by accurate mass measurement and single-crystal X-ray diffraction analysis.     

Finitary Spacetime Sheaves of Quantum Causal Sets: Curving Quantum Causality

A locally finite, causal, and quantal substitute for a locally Minkowskian principal fiber bundle of modules of Cartan differential forms over a bounded region X of a curved C -smooth spacetime manifold M with structure group G that of orthochronous Lorentz transformations L ⁺ := SO(1,3), is presented. is usually regarded as the kinematical structure of classical Lorentzian gravity when the latter is viewed as a Yang-Mills type of gauge theory of a sl(2, {})-valued connection 1-form . The mathematical structure employed to model this replacement of is a principal finitary spacetime sheaf of quantum causal sets with structure group G _n, which is a finitary version of the continuous group G of local symmetries of General Relativity, and a finitary Lie algebra g _n-valued connection 1-form on it, which is a section of its subsheaf . is physically interpreted as the dynamical field of a locally finite quantum causality, whereas its associated curvature as some sort of finitary and causal Lorentzian quantum gravity.     

Novel disposable microfabricated antimony-film electrodes for adsorptive stripping analysis of trace Ni(II)

This work describes a novel type of antimony electrode for adsorptive stripping voltammetry (AdSV). The electrode was microfabricated by coating a silicon chip with a thin antimony-film by means of sputtering and the active area of the electrode was defined by photolithography. The resulting antimony-film electrodes (SbFEs) were characterized by optical and electrochemical techniques. The sensors were tested for the detection of low concentrations of Ni(II) by AdSV in the presence of dimethylglyoxime. Well-formed stripping peaks and a linear dependence of the stripping peak current on the Ni(II) concentration were observed on the microfabricated SbFEs while comparative measurements attempted with electroplated SbFEs were unsuccessful. Utilizing thin-film technology for the formation of the antimony-film extends the scope of these devices as mercury-free sensors in AdSV.