Determination of germanium in organo-germanium compounds

Summary A method is described for the determination of germanium in organic compounds after combustion in the oxygen flask. The yellow acetone-stabilised -form of germanomolybdate is formed and measured spectrophotometrically at 430 nm. Interference by silica is prevented by coating the oxygen flask with a non-stick coating material. The results obtained were within the usual limits for microanalysis (±0.3%).

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Zusammenfassung Ein Verfahren zur Germaniumbestimmung in organischen Verbindungen nach deren Verbrennung im Sauerstoffkolben wurde beschrieben. Das gelbe, mit Aceton stabilisierte -Germanomolybdat wird bei 430 nm spektrophotometrisch gemessen. Störungen durch Kieselsäure werden durch Auskleiden des Sauerstoffkolbens mit einem nichtklebenden Film vermieden. Die Resultate liegen innerhalb der mikroanalytischen Fehlergrenzen (±0,3%).

     

Co-located equal-order control-volume finite element method for two-dimensional axisymmetric incompressible fluid flow

The formulation of a control-volume-based finite element method (CVFEM) for axisymmetric, two-dimensional, incompressible fluid flow and heat transfer in irregular-shaped domains is presented. The calculation domain is discretized into torus-shaped elements and control volumes. In a longitudinal cross-sectional plane, these elements are three-node triangles, and the control volumes are polygons obtained by joining the centroids of the three-node triangles to the mid-points of the sides. Two different interpolation schemes are proposed for the scalar-dependent variables in the advection terms: a flow-oriented upwind function, and a mass-weighted upwind function that guarantees that the discretized advection terms contribute positively to the coefficients in the discretized equations. In the discretization of diffusion transport terms, the dependent variables are interpolated linearly. An iterative sequential variable adjustment algorithm is used to solve the discretized equations for the velocity components, pressure and other scalar-dependent variables of interest. The capabilities of the proposed CVFEM are demonstrated by its application to four different example problems. The numerical solutions are compared with the results of independent numerical and experimental investigations. These comparisons are quite encouraging.     

Potential applications of high pressures in pharmaceutical science and medicine

Abstract

High pressure (HP) technology appears to be of paramount interest for valuable applications in pharmacy and medicine, owing to academic studies and industrial developments of this technology for food processing. The main potential application of HP between 100 MPa and 1200 MPa (1 kbar to 12kbar) is the inactivation of biological agents (bacteria, moulds, yeasts, virus and even prions) which allows the sterilization (i.e, “pascalization”) of thermo-, chemo-, or radio-sensitive materials and chemicals. The immunogenicity of some pressure-killed bacteria or virus suggests also the potentiality of making new vaccines. Another interest of the HP technology is the possibility of storage at subzero temperatures without freezing of cells and animal tissues to be used for cells and organs for transplant. HP engineering may be used for enzyme-catalyzed synthesis of fine chemicals, production of modified proteins of medical or pharmaceutical interest, and organic synthesis of pharmaceuticals.     

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincaré inequality and to satisfy the annular decay property.     

Local higher integrability for parabolic quasiminimizers in metric spaces

Using purely variational methods, we prove in metric measure spaces local higher integrability for minimal p-weak upper gradients of parabolic quasiminimizers related to the heat equation. We assume the measure to be doubling and the underlying space to be such that a weak Poincaré inequality is supported. We define parabolic quasiminimizers in the general metric measure space context, and prove an energy type estimate. Using the energy estimate and properties of the underlying metric measure space, we prove a reverse Hölder inequality type estimate for minimal $p$ -weak upper gradients of parabolic quasiminimizers. Local higher integrability is then established based on the reverse Hölder inequality, by using a modification of Gehring’s lemma.     

The Fundamentals of Real‐Time Surface Plasmon Resonance/Electrogenerated Chemiluminescence

We report the integration of surface plasmon resonance (SPR), cyclic voltammetry and electrochemiluminescence (ECL) responses to survey the interfacial adsorption and energy transfer processes involved in ECL on a plasmonic substrate. It was observed that a Tween 80/tripropylamine nonionic layer formed on the gold electrode of the SPR sensor, while enhancing the ECL emission process, affects the electron transfer process to the luminophore, Ru(bpy)₃²⁺, which in turn has an impact on the plasmon resonance. Concomitantly, the surface plasmon modulated the ECL intensity, which decreased by about 40 %, due to an interaction between the excited state of Ru(bpy)₃²⁺ and the plasmon. This occurred only when the plasmon was excited, demonstrating that the optically excited surface plasmon leads to lower plasmon‐mediated luminescence and that the plasmon interacts with the excited state of Ru(bpy)₃²⁺ within a very thin layer.     

Structural properties of GaAs surfaces nitrided in hydrazine-sulfide solutions

The surface structure of GaAs(1 0 0), (1 1 1)A, and (1 1 1)B substrates nitrided through the wet chemical treatment in hydrazine-sulfide solution have been studied by scanning tunneling microscopy (STM) under annealing in UHV. Such treatment has earlier been shown to produce a monolayer of gallium nitride on the (1 0 0)GaAs surface. The as-nitrided substrates of all surface orientations were found to be covered by an overfilm, which contains thioarsenic compounds and has a smooth relief. Thermal desorption of the overlfilm at about 530 °C opens the own relief of the nitrided surfaces. For the (1 0 0) orientation such relief is not microscopically planar and consists of nano-scale vicinal hillocks. These hillocks occur due to surface microetching which proceeds simultaneously with the formation of the surface nitride layer. We have shown that the wet nitridation procedure forms a monolayer of surface nitride on the (1 1 1)B surface. During nitridation the (1 1 1)B surface, as well as the (1 0 0) one, is affected by the microetching in the hydrazine-sulfide solution. Therefore, it exhibits a characteristic relief formed by triangular vicinal pyramids. At the same time the nitride film is not formed on the (1 1 1)A surface, which is more chemically inert, and where the surface etching is almost absent.     

Local molecular orbitals and hyper-susceptibility of TeO2 glass

The dielectric properties of the glassy telluria have been modeled and studied via the ab initio calculations of the linear- and hyper-polarizabilities of chain-like (TeO₂)_n clusters. By using the localized molecular orbitals approximation (GAMESS program), it is shown that their linear polarizability is mainly associated with the tellurium atom lone pairs and with the Te–O–Te bridges, whose contributions are comparable. On contrary, the bridge contributions unequivocally dominate the hyperpolarizability value (providing 75% of this) whereas the role of the lone pair on tellurium atoms is minimal (5%). The same estimations can be obtained for the relevant characteristics of TeO₂ glass.     

Contiguous relations, continued fractions and orthogonality

We examine a special linear combination of balanced very-well-poised basic hypergeometric series that is known to satisfy a transformation. We call this and show that it satisfies certain three-term contiguous relations. From two of these contiguous relations for we obtain fifty-six pairwise linearly independent solutions to a three-term recurrence that generalizes the recurrence for Askey-Wilson polynomials. The associated continued fraction is evaluated using Pincherle's theorem. From this continued fraction we are able to derive a discrete system of biorthogonal rational functions. This ties together Wilson's results for rational biorthogonality, Watson's -analogue of Ramanujan's Entry 40 continued fraction, and a conjecture of Askey concerning the latter. Some new -series identities are also obtained. One is an important three-term transformation for 's which generalizes all the known two- and three-term transformations. Others are new and unexpected quadratic identities for these very-well-poised 's.