A construction of chromatic index critical graphs

We prove that if K is an undirected, simple, connected graph of even order which is of class one, regular of degree p ≥ 2 and such that the subgraph induced by any three vertices is either connected or null, then any graph G obtained from K by splitting any vertex is p-critical. We find that various constructions of critical graphs by S. Fiorini are special cases of a corollary of this result.     

An investigation of pressure transients in pipelines with two-phase bubbly flow

This paper presents a two-dimensional model for the analysis of the pressure transient of a two-phase homogeneous bubbly mixture flowing in a pipeline and the numerical integration using the centre implicit method (CIM). Experiments were conducted to confirm the proposed sonic speed equation of an air–water mixture for an air concentration of less than 1%. The 2D CIM model is compared with the method of characteristics (MoC) for a two-phase bubbly flow in a pipeline. The comparisons show that the proposed 2D CIM model generally gives good agreement with the method of characteristics.     

Some remarks on E-minimal graphs

If G is a planar graph of smallest order such that the stability number of G is less than one quarter of the order of G, then G is said to be E-minimal. In this note, we give some properties of E-minimal graphs.     

Enhanced stereoselectivity of a Cu(II) complex chiral auxiliary in the synthesis of Fmoc-L-γ-carboxyglutamic acid

L-γ-Carboxyglutamic acid (Gla) is an uncommon amino acid that binds avidly to mineral surfaces and metal ions. Herein, we report the synthesis of N-α-Fmoc-L-γ-carboxyglutamic acid γ,γ'-tert-butyl ester (Fmoc-Gla(O(t)Bu)(2)-OH), a suitably protected analogue for Fmoc-based solid-phase peptide synthesis. The residue was synthesized using a novel chiral Cu(II) complex, whose structure-based design was inspired by the blue copper protein rusticyanin. The five-coordinate complex is formed by Shiff base formation between glycine and the novel ligand (S)-2-(N-(2-methylthio)benzylprolyl)aminobenzophenone in the presence of copper. Michael addition of di-tert-butyl methylenemalonate to the α-carbon of the glycine portion of the complex occurs in a diastereoselective fashion. The resulting (S,S)-complex diastereomer can be easily purified by chromatography. Metal complex decomposition followed by Fmoc protection affords the enantiomerically pure amino acid. With the use of this novel chiral complex, the asymmetric synthesis of Fmoc-Gla(O(t)Bu)(2)-OH was completed in nine steps from thiosalicylic acid in 14.5% overall yield.     

Synthesis and Structure of Chromium(II) Complexes Supported by Both a β-Diketiminate and an Amidinate Ligand

Abstract  

The complexes (bis(2,6-diisopropylphenyl)pentane-2,4-ketiminato)(μ₂-diisopropylacetamidinato) chromium(II) (1) and (bis(2,6-diisopropylphenyl)pentane-2,4-ketiminato)(μ₂-dicyclohexylacetamidinato) chromium(II) (2) have been synthesized and structurally characterized. Complex 1 crystallizes in space group Pbcn with crystal cell parameters a = 10.7183(13) ?, b = 16.4093(19) ?, c = 20.687(2) ?, V = 3,638.3(7) ?³ and Z = 4. Complex 2 crystallizes in triclinic space group P-1 with crystal cell parameters a = 10.750(3) ?, b = 12.174(3) ?, c = 16.308(4) ?, α = 75.903(4)°, β = 82.137(4)°, γ = 85.511(4), V = 2,048.4(8) ?³ and Z = 2. The complexes adopt a spiro distorted square planar geometry and have similar structural parameters.     

The Fermi to Gamow-Teller mixing ratio of theβ + decay of52Mn and time-reversal invariance

To date, ten experimental measurements of the asymmetry parameter have been made for the positron decay of⁵²Mn. The Fermi to Gamow-Teller mixing ratioy can be deduced from such measurements and this quantity is important because the time-reversal violating amplitude is proportional toy/(1+y²). Our theoretical calculation using the Collective Model yieldsy=? 3.5×10^?4 for the deformation parameterβ=0.1 andy=? 4.6×10^?4 forβ=0.2. Such small values ofy are consistent with time-reversal invarisance.     

Nanosecond laser ablation and deposition of silicon

Nanosecond-pulsed KrF (248 nm, 25 ns) and Nd:YAG (1064 nm, 532 nm, 355 nm, 5 ns) lasers were used to ablate a polycrystalline Si target in a background pressure of <10⁻⁴ Pa. Si films were deposited on Si and GaAs substrates at room temperature. The surface morphology of the films was characterized using scanning electron microscopy (SEM) and atomic force microscopy (AFM). Round droplets from 20 nm to 5 μm were detected on the deposited films. Raman Spectroscopy indicated that the micron-sized droplets were crystalline and the films were amorphous. The dependence of the properties of the films on laser wavelengths and fluence is discussed.     

Graphene-based Q-switched pulsed fiber laser in a linear configuration

A pulsed laser system is realized with graphene employed as a Q-switch.The graphene is exfoliated from its solution using an optical deposition and the optical tweezer effect.A fiber ferrule that already has the graphene deposited on it is inserted into an erbium-ytterbium laser(EYL)system with linear cavity configuration.We successfully demonstrate a pulsed EYL with a pulse duration of approximately 5.9μs and a repetition rate of 20.0 kHz.     

Reaction of NiBr2(DME) with 2-pyridinal-methyl-N-2,6-diisopropylphenylimine. The first crystal structure of an α-diimine nickel(II) complex of the NiL2X2 type

NiBr₂ (DME) (DME = ethylene glycol dimethyl ether) reacts with 2-pyridinal-methyl-N-2,6-diisopropylphenylimine (L) in a 1:1 molar ratio in CH₂Cl₂ to give NiBr₂(L) and [NiBrL₂]Br · 4CH₂Cl₂ in 52% and 14% yield, respectively. The crystal of [NiBrL₂]Br · 4CHCl₃ obtained from CHCl₃ was structurally characterized.     

The regioselective switch for amino-NHC mediated C-H activation of benzimidazole via Ni-Al synergistic catalysis

We have disclosed a new mode of a chemically regioselective switch for C-H bond functionalization of benzimidazole derivatives via a cooperative effect invoked by Ni-Al bimetallic catalysis to create a steric requirement for obtaining the linear product of styrene insertion. Yet, excluding the AlMe(3) cocatalyst switches the reaction toward branch selectivity.