Chevalley restriction theorem for the cyclic quiver

We prove a Chevalley restriction theorem and its double analogue for the cyclic quiver.     

Measurements of plasma density profiles driven by p-polarized microwaves

For supersonic plasma flow velocities, instead of the usual shelf-step profile seen for subsonic flow, an overdense bump and cavity is observed. The profile is stable for long times (t > 3 × 10²ω_pi^?1) even for moderate power microwaves ($\text{υ}{}_0\text{υ}{}_{\mathrm{<mtext>e</mtext>}}\text{～ 0.3}$).     

Assembly line balancing as generalized bin packing

Bin packing heuristics are generalized and adapted to solve the assembly line balancing problem. Worst-case analysis is provided. The results are compared to those for a resource constrained scheduling problem considered by Garey, Graham, Johnson and Yao.     

A new approach to macrocyclization via alkene formation in catalytic diazo decomposition. Synthesis of patulolides A and B

[reaction: see text] Effective synthetic uses of bisdiazocarbonyl compounds for the selective construction of diverse macrocycles, including the synthesis of patulolides A and B, by catalytic "carbene dimer" formation are reported. Control of stereochemistry and efficient methods for product isomerization or kinetic isomer differentiation have been achieved.     

Two-photon excited fluorescence of nitrogen-vacancy centers in proton-irradiated type Ib diamond

Two-photon fluorescence spectroscopy of negatively charged nitrogen-vacancy [(N-V)-] centers in type Ib diamond single crystals have been studied with a picosecond (7.5 ps) mode-locked Nd:YVO(4) laser operating at 1064 nm. The (N-V)- centers were produced by radiation damage of diamond using a 3 MeV proton beam, followed by thermal annealing at 800 degrees C. Prior to the irradiation treatment, infrared spectroscopy of the C-N vibrational modes at 1344 cm(-1) suggested a nitrogen content of 109 +/- 10 ppm. Irradiation and annealing of the specimen led to the emergence of a new absorption band peaking at approximately 560 nm. From a measurement of the integrated absorption intensity of the sharp zero-phonon line (637 nm) at liquid nitrogen temperature, we determined a (N-V)- density of (4.5 +/- 1.1) x 10(18) centers/cm3 (or 25 +/- 6 ppm) for the substrate irradiated at a dose of 1 x 1016) H(+)/cm(2). Such a high defect density allowed us to observe two-photon excited fluorescence and measure the corresponding fluorescence decay time. No significant difference in the spectral feature and fluorescence lifetime was observed between one-photon and two-photon excitations. Assuming that the fluorescence quantum yields are the same for both processes, a two-photon absorption cross section of sigma(TPA) = (0.45 +/- 0.23) x 10(-50) cm(4).s/photon at 1064 nm was determined for the (N-V)- center based on its one-photon absorption cross section of sigma(OPA) = (3.1 +/- 0.8) x 10(-17) cm2 at 532 nm. The material is highly photostable and shows no sign of photobleaching even under continuous two-photon excitation at a peak power density of 3 GW/cm(2) for 5 min.     

A novel asymmetric hydroarsination reaction promoted by a chiral organopalladium complex

The dissymmetrical chiral bidentate (R)-(+)-1-(diphenylphosphino)-2-(diphenylarsino)propane was prepared stereoselectively via the novel asymmetric hydroarsination reaction between diphenylarsine and diphenyl-1-propenyl-(E)-phosphine using di-mu-chlorobis{(S)-1-[1-(dimethylamino)ethyl]-2-naphthalenyl-C,N}dipalladium(II) as the chiral reaction promoter.     

Quantized symplectic oscillator algebras of rank one

A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with . We study its representation theory, and in particular, its category .     

Photochemical synthesis of a water oxidation catalyst based on cobalt nanostructures

New cobalt-based nanocomposites have been prepared by photoreduction of Co(2+) salts to generate cobalt nanoparticles deposited on carbon-based materials such as nanocyrstalline diamond and carbon felt. Spontaneous air oxidation converts the metal to Co(2)O(3) which has been tested as a water oxidation catalyst. This work demonstrates that the cobalt oxide nanostructures can be deposited on various carbon surfaces and can catalyze the four-electron oxidation of water to oxygen under anodic bias.     

Synthesis of backbone modified cyclic peptides bearing dipicolylamino sidearms

Three analogues of the Lissoclinum class of cyclic peptides, bearing dipicolylamino functionalised side chains, have been synthesised using a stepwise approach followed by macrocyclisation. Attempts to incorporate dipicolylamino functionalised side chains prior to peptide synthesis resulted in epimerisation, but this was overcome by functionalising the ornithine side chains with dipicolylamino groups after the macrocyclisation reaction.     

Organometallic ruthenium-based antitumor compounds with novel modes of action

Both metal complexes and organic molecules are widely used for the treatment of various diseases including cancer - in addition to surgery and radiotherapy. Recent years have witnessed a surge of interest in the application of organometallic compounds to treat cancer and other diseases. Indeed, the unique properties of organometallic compounds, intermediate between those of classical inorganic and organic materials provide new opportunities in medicinal chemistry. In this review, based on the award lecture at ICBOMC’10, we describe a class of ruthenium(II)-arene complexes that are weakly cytotoxic in vitro, but show selective antimetastatic activity in vivo. These compounds, [Ru(η⁶-p-arene)Cl₂(pta)] termed RAPTA, interact strongly with proteins, with the ability to discriminate binding to different proteins, but show a relatively low propensity to bind DNA, which is considered to be the main target of many metal-based drugs. The basic RAPTA structure is quite stable in physiological environments, and studies have shown that aquation of the chloride bonds occurs, it may not be an essential step for anticancer drug activity - direct substitution with biomolecular targets is also possible. Based on the favorable physicochemical properties of RAPTA compounds, combined with their highly promising pharmacological properties, the structure represents an ideal scaffold for rational drug design. Thus far, strategies to overcome drug resistance, by interference with critical enzymes responsible for drug deactivation, and tumor targeting, by tethering to human serum albumin via hydrolyzable linkers, have been demonstrated. However, many more approaches can be envisaged. In any case, the net result are a type of hybrid compounds, that occupy a niche somewhere between classical cisplatin-type anticancer agents that are widely applied to many tumor types and targeted therapies based on organic structures used to inhibit specific enzymes. As such, should these compounds prove themselves in the clinic it is not inconceivable that they could be rapidly refined to form personalized chemotherapies.