On the field theory expansion of superstring five point amplitudes

A simple recursive expansion algorithm for the integrals of tree level superstring five point amplitudes in a flat background is given which reduces the expansion to simple symbol(ic) manipulations. This approach can be used for instance to prove the expansion is maximally transcendental to all orders and to verify several conjectures made in recent literature to high order. Closed string amplitudes follow from these open string results by the KLT relations. To obtain insight into these results in particular the maximal R-symmetry violating amplitudes (MRV) in type IIB superstring theory are studied. The obtained expansion of the open string amplitudes reduces the analysis for MRV amplitudes to the classification of completely symmetric polynomials of the external legs, up to momentum conservation. Using Molien?s theorem as a counting tool this problem is solved by constructing an explicit nine element basis for this class. This theorem may be of wider interest: as is illustrated at higher points it can be used to calculate dimensions of polynomials of external momenta invariant under any finite group for in principle any number of legs, up to momentum conservation.     

Lewis Acid Controlled Regioselectivity in Styrene Hydrocyanation

According to present knowledge, the Ni‐catalyzed hydrocyanation of styrene leads predominantly to the branched product 2‐phenylpropionitrile (98 %). We observed a dramatic inversion of the regioselectivity upon addition of a Lewis acid. Up to 83 % of the linear product 3‐phenylpropionitrile was obtained by applying phosphite ligands in the presence of AlCl₃. The mechanism of the Ni‐catalyzed reaction and the influence of additional Lewis acids have been investigated by means of deuterium labeling experiments, NMR studies, and DFT calculations. Furthermore, the behavior of different Lewis acids, such as CuCN, could be rationalized and predicted by DFT calculations.     

Mechanism of the initial stage of silicate oligomerization

The mechanism of the initial stage of silicate oligomerization from solution is still not well understood. Here we use an off-lattice kinetic Monte Carlo (kMC) approach called continuum kMC to model silicate oligomerization in water solution. The parameters required for kMC are obtained from density functional theory (DFT) calculations. The evolution of silicate oligomers and their role in the oligomerization process are investigated. Results reveal that near-neutral pH favors linear growth, while a higher pH facilitates ring closure. The silicate oligomerization rate is the fastest at pH 8. The temperature is found to increase the growth rate and alter the pathway of oligomerization. The proposed pH and temperature-dependent mechanism should lead to strategies for the synthesis of silicate-based materials.     

Kinetics of the Fischer-tropsch reaction

Long carbon chains: Self-assembly of monomeric carbon intermediates into long-chain hydrocarbons on catalytically reactive surface was studied when full reversibility of the chain growth is included in the kinetic model. Using Br?nsted-Evans-Polanyi relations, the maximum chain growth as a function of the surface reactivity is predicted.     

Hollow silica spheres with an ordered pore structure and their application in controlled release studies

Herein we report the synthesis and characterization of hollow silica spheres with a narrow size distribution, uniform wall thickness, and a worm-like pore structure. The formation of these spheres was monitored by confocal laser scanning microscopy and dynamic light scattering. A model for the molecular build-up of these silica hollow spheres is derived from these data in combination with studies of the as-made particles by transmission electron microscopy, scanning electron microscopy, pore size analysis, thermogravimetric analysis, and solid-state nuclear magnetic resonance. We further demonstrate that these spheres can be used for the encapsulation and subsequent release of different dye molecules.     

Metalmetal bonded triazenido compounds : II. Compounds with M = RhI,IrI; R = Me,aryld and X = Cl,Br, I Cl,Br, I

Complexes

(M = Rh, X = Cl, M = Ir, X = Cl, Br, I and R = CH₃, R′ = CH₃, p-tolyl) have been made by the reaction of (Ph₃P)₂(CO)MX with

. The proposed structure is analogous to that of the related copper derivatives and contains a five-membered ring in which an M^I to Ag^I donor bond is bridged by an azenido group, while the halide atom X has migrated from M^I to Ag^I.Carbon monoxide at 1 atm reacts rapidly and quantitatively with the iridium compounds to give novel acyltriazenido compounds {Ph₃P(CO)₂ - Ir[OCN(R)N=NR′]} (R = CH₃, p-tolyl; R′ = CH₃, p-tolyl).     

High-power blue/UV light-emitting diodes as excitation sources for sensitive detection

With advances in III-V nitride manufacturing processes, high-power light-emitting diode (LED) chips in the blue and UV wavelengths are now commercially available at reasonable cost and can be used as excitation sources in optical sensing. We describe the use of these high-power blue and UV LEDs for sensitive fluorescence detection, including chip-based flow cytometry, capillary electrophoresis (CE), and single-molecule imaging. By using a blue LED with a focusable power of approximately 40 mW as the excitation source for fluorescent beads, we demonstrate a simple chip-based bead sorter capable of enriching the concentration of green fluorescent beads from 63% to 95%. In CE experiments, we show that a mixture of analyte solution containing 30 nM 6-carboxyrhodamine 6G and 10 nM fluorescein can be separated and detected with excellent signal-to-noise ratio (approximately 17 for 10 nM fluorescein) using the collimated emission from a blue LED; the estimated mass detection limit was approximately 200 zmol for fluorescein. We also demonstrated ultrasensitive fluorescence imaging of single rhodamine 123 molecules and individual lambda-DNA molecules. At a small fraction of the cost of an Ar+ laser, high-power blue and UV LEDs are effective alternatives for lasers and arc lamps in fluorescence applications that demand portability, low cost, and convenience.     

Chemiluminescence detection in capillary electrophoresis using an ultra-fast co-catalyzed peroxyoxalate chemiluminescent reaction and electrokinetic reagent delivery

Summary Despite the impressive limits of detection and inherent selectivity afforded by peroxyoxalate chemiluminescence (POCL) detection, efficient coupling of POCL to capillary electrophoresis (CE) remains limited by the relatively slow kinetics of the reactions that drive imidazole-catalyzed chemiluminescence. Moreover, oxalate esters, used in POCL, are sparingly soluble in polar solvents and hydrolyze rapidly, presenting an additional challenge with respect to detection following aqueous phase separations. In this paper, a novel method for coupling an ultrafast POCL reaction to CE is presented. Post separation electrokinetic delivery of the POCL reagent bis(2,4,6-trichlorophenyl)oxalate (TCPO) was accomplished using a commercially available micro tee. Electrokinetic addition of TCPO allowed for precise control of the ratio of TCPO to the chemiluminescence (CL) reagents 1,2,2,6,6-pentamethylpiperidine (PMP) and 1,2,4-triazole (triazole), spiked into the running buffer. This novel method for CL reagent delivery avoided the problems and costs associated with using pressure or mechanical pumps to deliver reagents post separation. Use of this dual-component system (PMP and triazole) resulted in intense CL with half-lives of less than 2 seconds. Optimum conditions for CE-POCL detection were investigated using stopped-flow kinetics. The detection limit for 3-aminofluoranthene, following separation by CE, was<0.95 nM.