Highly efficient TfOH-catalyzed head-to-tail dimerization of vinylarenes

A convenient and efficient TfOH-catalyzed head-to-tail dimerization of vinylarenes has been realized under mild conditions. The present protocol provides an attractive approach to a diverse range of higher olefins in good to excellent yields.     

Chemical Constituents from Termite‐associated Xylaria acuminatilongissima YMJ623

Three previously unreported benzofurans, namely acumifurans A–C ( 1 – 3 ), along with five known compounds, 2‐(isopropyl‐1′‐ol)‐2,3‐dihydrobenzofuran‐5‐carbinol ( 4 ), fomannoxin alcohol ( 5 ), fomannoxin ( 6 ), acremine S ( 7 ) and cyclo(L ‐Pro‐L ‐Leu) ( 8 ), were isolated from the ethyl acetate extracts of the fermented broths of termite n est associated Xylaria acuminatilongissima YMJ623. Compound 4 , a synthe tic benzofuran analogue of 1 – 3 , was isolated for the first time from natural resources. The str uctures of 1 – 8 were determined through spectroscopic data analyses. The absolute configurations of 1 – 4 were established based mainly on ROESY experiment and Mosher’s reaction, and compared the optical rotation data with the literatures. The effects of these compounds on the inhibition of NO production in lipopolysaccharide (LPS)‐activated murine macrophage RAW264.7 cells were also evaluated. Of the compounds tested, 6 showed a mild NO production inhibitory activity without any cytotoxicity, and its mean maximum inhibition (E_max) at 100 μM was 42.98±0.87 %.     

具有线性微分算子的分数阶微分方程积分边值问题

研究一类具有分数阶线性微分算子的非线性微分方程积分边值问题解的存在性与唯一性.利用Schauder不动点定理及压缩映射原理,建立并证明了边值问题解的存在性定理和唯一性定理,并给出两个例子以说明所得结论.     

Line-Pro le Analysis of Excitation Spectroscopy in the Even 3p5(2P1/2)nl'[K']J(l'=1,3) Autoionizing Resonances of Ar

The even-parity autoionizing resonance series 3p⁵np'[3/2]_1,2, 3p⁵np'[1/2]₁, and 3p⁵nf'[5/2]₃ of Ar have been investigated exciting from the two metastable states 3p⁵4s[3/2]₂ and 3p⁵4s'[1/2]₀ in the photon energy range of 32500-35600 cm^-1 with an experimental bandwidth of ~0.1 cm^-1. The excitation spectra of the even-parity autoionizing resonance series show typical asymmetric line shapes. New level energies, quantum defects, line profile index and resonance widths, resonance lifetime and reduced widths of the autoionizing resonances are derived by a Fano-type line-shape analysis. The line profile index q and the resonance widths Γ are shown to be approximately proportional to the effective principal quantum number n^*. The line separation of the 3p⁵np' autoionizing resonances is discussed.     

广义e-ω-凹算子的不动点及其应用

给出广义e-ω-凹算子的定义,在假设算子A不是锥映射的前提下,得到了广义e-ω-凹算子的不动点的存在唯一性以及单调迭代列.最后,将主要结果应用到一类Hammerstein型积分方程中去.     

Rapid analysis of six trace trichlorophenols in seawater by magnetic micro‐solid‐phase extraction and liquid chromatography with tandem mass spectrometry

A new facile, rapid, inexpensive, and sensitive method for the analysis of six trace trichlorophenols in seawater samples was developed by magnetic micro‐solid‐phase extraction coupled to liquid chromatography with tandem mass spectrometry. Core–shell covalently functionalized ferroferric oxide coated with aminated silicon dioxide and decorated with multiwalled carbon nanotubes was applied as an adsorbent to perform the extraction process. The effect of factors including solution pH, contact time, adsorbent amount, and ionic strength were investigated in detail. The obtained results revealed that the proposed adsorbent was a highly effective and low‐cost magnetic micro‐solid‐phase extraction material for the enrichment of 2,3,4‐trichlorophenol, 2,3,5‐trichlorophenol, 2,3,6‐trichlorophenol, 2,4,5‐trichlorophenol, 2,4,6‐trichlorophenol, and 3,4,5‐trichlorophenol from seawater. Under the optimized conditions, the recoveries ranged from 88.0 to 99.5% at the three spiking levels, the limits of detection and the limits of quantification were 0.002 and 0.007 μg/L for the six trichlorophenols, respectively. The intra‐ and interday relative standard deviations were 2.0–6.7 and 4.5–8.9%, respectively. The calibration curves showed a good linearity in the range of 0.02–5.0 μg/L. The routine run analyses showed that the developed method was fast, simple, accurate, solvent‐saving and high resolution, and it was suitable for the determination of trace trichlorophenols in seawater.     

多重时滞富营养化生态模型的稳定性与分支分析

本文研究了多重时滞富营养化生态模型的稳定性与分支问题.利用特征值方法,分别研究了具有单时滞和双时滞模型的线性稳定性.发现当模型中的时滞经过一系列临界值时,模型在平衡点附近经历了Hopf分支和Hopf-zero分支,并给出Hopf分支和Hopf-zero分支存在的充分条件.最后数值模拟验证了理论结果.