OXYGEN CATALYSIS BY ANHYDROUS RUTHENIUM(IV) OXIDE

The results of a kinetic study of the oxidation of water to oxygen by Ce(IV) ions in different acid media, mediated by anhydrous ruthenium(IV) oxide are described. In an acid medium which is predominantly HClO4 the kinetics are diffusion controlled and first order with respect to both [Ce(IV)] and [RuO2] and exhibit an activation energy of 19 kJ mol-1. In 0.5 mol dm-3 H2SO4 the kinetics are much slower and complex, the rate decreasing with increasing [Ce(III)]. The kinetics of catalysis observed in all the different acid media studied are readily interpreted using an electrochemical model in which the catalyst particles are considered as acting as microelectrodes which mediate electron transfer between a Nernstian reduction reaction (Ce(IV) --> Ce(III)) and an irreversible oxidation reaction (H2O --> 2H+ + 1/2O2). This electrochemical model is used to analyse the complex kinetics observed in 0.5 mol dm-3 H2SO4 and extract mechanistic information concerning the nature of the rate determining step.

Chemoenzymatic synthesis of a mixed phosphine-phosphine oxide catalyst and its application to asymmetric allylation of aldehydes and hydrogenation of alkenes

The chemoenzymatic synthesis of a Lewis basic phosphine-phosphine oxide organocatalyst from a cis-dihydrodiol metabolite of bromobenzene proceeds via a palladium-catalysed carbon-phosphorus bond coupling and a novel room temperature Arbuzov [2,3]-sigmatropic rearrangement of an allylic diphenylphosphinite. Allylation of aromatic aldehydes were catalysed by the Lewis basic organocatalyst giving homoallylic alcohols in up to 57% ee. This compound also functioned as a ligand for rhodium-catalysed asymmetric hydrogenation of acetamidoacrylate giving reduction products with ee values of up to 84%.

Design of composite asymmetric cellular beams and beams with large web openings

The design of composite asymmetric cellular beams is not fully covered by existing guidance but is an area of important practical application. Asymmetry in the shape of the cross-section of cellular beams causes development of additional bending moments in the web-posts between closely placed openings. Furthermore, the development of local composite action influences the distribution of forces in the web-flange Tees. The design method presented in this paper takes account of high degrees of asymmetry in the cross-section and also the influence of elongated or rectangular openings.

Modulational instability in asymmetric coupled wave functions

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schrödinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and the group velocity dispersion terms) and the nonlinearity and coupling coefficients, on which no assumption is made. A generalized dispersion relation is obtained, relating the frequency and wave-number of a small perturbation around a coupled monochromatic (Stokes') wave solution. Explicitly stability criteria are obtained. The analysis reveals a number of possibilities. Two (individually) stable systems may be destabilized due to coupling. Unstable systems may, when coupled, present an enhanced instability growth rate, for an extended wave number range of values. Distinct unstable wavenumber windows may arise simultaneously.

Asymmetric information without common priors: an indirect evolutionary analysis of quantity competition

The common prior assumption justifies private beliefs as posterior probabilities when updating a common prior based on individual information. We dispose of the common prior assumption for a homogeneous oligopoly market with uncertain costs and firms entertaining arbitrary priors about other firms' cost-type. We show that true prior beliefs can not be evolutionarily stable when truly expected profit measures (reproductive) success.