Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives

In this paper, the boundedness and unboundedness of solutions of the oscillator

x^″+ax⁺−bx⁻+φ(x)ψ(x^′)+f(x)+g(x^′)=p(t)$x^{″}+a{x}^{+}-b{x}^{-}+\phi \left(x\right)\psi \left(x^{\prime }\right)+f\left(x\right)+g\left(x^{\prime }\right)=p\left(t\right)$

Doubly heavy baryon production at γγ collider

The inclusive production of doubly heavy baryons Ξ_cc${\Xi }_{cc}$ and Ξ_bb${\Xi }_{bb}$ at γγ collider is investigated. It is found that the contribution from the heavy quark pair QQ in color triplet and color sextet are important.     

Z boson as “the standard candle” for high-precision W boson physics at LHC

In this paper we propose a strategy for measuring the inclusive W boson production processes at LHC. This strategy exploits simultaneously the unique flexibility of the LHC collider in running variable beam particle species at variable beam energies, and the configuration flexibility of the LHC detectors. We propose their concrete settings for a precision measurement of the standard model parameters. These dedicated settings optimise the use of the Z boson and Drell–Yan-pair production processes as “the standard reference candles”. The presented strategy allows one to factorise and to directly measure those of the QCD effects that affect differently the W and Z production processes. It reduces to a level of the impact of uncertainties in the partonic distribution functions (PDFs) and in the transverse momentum of the quarks on the measurement precision. Last but not the least, it reduces by a factor of 10 the impact of systematic measurement errors, such as the energy scale and the measurement resolution, on the W boson production observables.     

Preparation and chromatographic properties of a multimodal chiral stationary phase based on phenyl-carbamate-propyl-beta-CD for HPLC

A phenylcarbamate derivative of 2-hydroxypropyl-beta-CD bonded stationary phase was prepared by a previously described method. Its enantiomeric recognition abilities were evaluated as chiral stationary phase (CSP) in normal, polar organic and RP conditions by HPLC. The relevant structural features of the prepared stationary phase which make it an effective chiral selector are discussed. This material seems to have an excellent enantioselectivity for a variety of racemic analytes in the three modes. Hence it can be considered a highly effective multimodal column. Retention factor (k), selectivity (alpha) and resolution (R(s)) were the chosen parameters to describe the column performance. Optimization of these separations was discussed in terms of mobile phase composition, flow rate and structural patterns of the injected analytes.     

Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative

This paper is concerned with a functional differential equation of the form

x^′(z)=1/x(az+bx^′(z))     

Cottoquinazolines E and F from Neosartorya fischeri NRRL 181

Two new norfumiquinazolines, cottoquinazolines E and F ( 1 and 2 , resp.), together with pyripyropene A ( 3 ), were isolated from the fungus Neosartorya fischeri NRRL 181. The structures of the new isolates were established by spectroscopic methods, including UV, IR, HR‐ESI‐MS, and extensive 1D‐ and 2D‐NMR techniques. To the best of our knowledge, this is the first report on norfumiquinazolines and pyripyropenes produced by the genus Neosartorya.     

Micromechanism of Cu and Fe alloying process on the martensitic phase transformation of NiTi-based alloys: First-principles calculation

Using first-principles pseudo-potential plane wave method, the formation enthalpy ΔH, binding energy ΔE, elastic constants, and electronic structure were calculated and analyzed carefully for NiTiX (X = Cu, Fe) shape memory alloy. The results show that the Cu or Fe element prefers to occupy the Ni site in the NiTi matrix phase respectively. Compared with the NiTi matrix phase, the ΔH, ΔE, c ₄₄ and c′ of NiTi (Cu) are similar to each other. However, the structural stability of the NiTi phase is improved obviously by the Fe alloying process. Simultaneously, the shear modulus c ₄₄ and c′ of NiTi (Fe) are larger than those of the NiTi matrix phase. Furthermore, Milliken population results indicate that Q _Cu–Ti is smaller than Q _Ni–Ti after the Cu alloying process, but Q _Fe–Ti is larger than Q _Ni–Ti. The electron density difference shows that some covalent bonding exists between Fe and Ti elements. Based on the upward analysis, the difference in the phase stability and elastic constants of NiTiX (X = Cu, Fe) is the substantial mechanism for the different M _s of NiTiX (X = Cu, Fe) although Cu or Fe substitutes for the same atom Ni elements in the NiTi matrix phase.     

Preparation of Pd/Al<Subscript>2</Subscript>O<Subscript>3</Subscript>@silicalite-1 core-shell beads and their application to hydrogenation reactions

Core-shell composite beads comprising a Pd-loaded Al₂O₃ core and a shell of inter-grown silicalite-1 (siliceous ZSM-5) crystals were synthesised. The incompatibility between the Pd/Al₂O₃ core and the zeolite shell was circumvented by a layer-by-layer self-assembly of polyelectrolyte to adsorb nanosized silicalite-1 seeds onto the core surface, followed by a secondary solvo-thermal treatment to form the continuous and well-intergrown silicalite-1 shell. The thickness of the outer zeolite shell could be tuned by monitoring the secondary growth time. When employed as catalyst for the hydrogenation reaction of alkenes to explore its full potential use, the Pd/Al₂O₃@silicalite-1 core-shell catalyst exhibited excellent size-selectivity, poison-resistance and leaching-proof properties. Such a catalyst@zeolite core-shell structure is expected to find promising applications in heterogeneous catalysis and adsorption.     

Self-Assembly of ZnII/CdII/PbII Coordination Polymers with a Tripodal Ligand Derived from Aromatase Inhibitor Letrozole Derivative

Reactions of the aromatase inhibitor letrozole derivative 4,4'-(1H-1,2,4-triazol-1-yl)methylene-bis(benzonic acid) (H₂tzmb) with Zn^II, Cd^II, or Pb^II salts under similar conditions resulted in the generation of three coordination polymers, namely, {[Zn(tzmb)(H₂tzmb)] · H₂O}_n ( 1 ), [Cd(tzmb)(H₂O)₂]_n ( 2 ), and {[Pb(tzmb)(H₂O)] · DMF}_n ( 3 ), respectively. Their structures were determined by single-crystal X-ray diffraction analyses and further characterized by elemental analysis, IR spectroscopy, powder X-ray diffraction, and thermogravimetric analyses. Complex 1 features a twofold 2D → 2D interpenetrated network based on corrugated 6³- hcb layers, and complex 2 exhibits a flat 2D 4.8²- fes network, whereas complex 3 presents a 3D hex net based on infinite rod-shaped secondary building units. The remarkable structural diversity may illustrate the powerful effect of metal ions on coordination assemblies. The spectroscopic, thermal, and photoluminescent properties of complexes 1 – 3 were investigated. In addition, the catalytic activity of 1 in the solvent-free ring-opening polymerization of ε-caprolactone was also discussed.