一个关于勒让德多项式的积分公式及其简单应用——圆形带电环和电流环的静态电磁势

给出了一个关于勒让德多项式的积分公式及其证明,用该公式和叠加法方便快捷地导出了圆形带电环和电流环的静态电磁势.     

Toluene sensing properties of SnO2-ZnO hollow nanofibers fabricated from single capillary electrospinning

SnO₂-ZnO hollow nanofibers were fabricated through a facile single capillary electrospinning technology. The structure and toluene sensing properties of the hollow fibers were investigated. The results indicated that the fibers possess a hollow structure, a rough porous surface after being annealed at 600 °C and the diameters are in the range of 80-160 nm. A sensor fabricated from these fibers exhibits considerable sensitivity and good stability against toluene at 190 °C, which can be attributed to the special 1D hollow structure and the promoting effect of the SnO₂/ZnO heterojunction. The formation mechanism and toluene sensing mechanism of SnO₂-ZnO hollow nanofibers were also discussed.     

Ceria supported Ru~0-Ru~(δ+) clusters as efficient catalyst for arenes hydrogenation

Selective hydrogenation of aromatic amines,especially chemicals such as aniline and bis(4-aminocyclohexyl)methane for non-yellowing polyurethane,is of particular interests due to the extensive applications.To conquer the existing difficulties,in selective hydrogenation,,the Ru~0-Ru~(δ+)/CeO_2 catalyst with solid frustrated Lewis pairs was developed for aromatic amines hydrogenation with excellent activity and selectivity under relative milder conditions.The morphology,electronic and chemical properties,especially the Ru~O-Ru~(δ+) clusters and reducible ceria were characterized by X-ray diffraction(XRD),transmission electron microscopy(TEM),sca nning electronic microscopy(SEM),X-ray photoelectron sp ectroscopy(XPS),CO_2 tempe rature programmed deso rption(CO_2-TPD),H_2 tempe rature programmed reduction(H_2-TPR),H_2 diffuse reflectance Fourier transform infrared spectroscopy(H_2-DRIFT),Raman,etc.The 2% Ru/CeO_2 catalyst exhibited good conversion of 95% and selectivity greater than 99% toward cyclohexylamine.The volcano curve describing the activity and Ru state was found.Owning to the "acidic site isolation" by surrounding alkaline sites,condensation between the neighboring amine molecules could be effectively suppressed.The catalyst also showed good stability and applicability for other aromatic amines and heteroarenes containing different functional groups.     

Three new lanthanide coordination polymers containing isophthalate and 1,10-phenanthroline

Three lanthanide coordination polymers were prepared by hydrothermal synthesis and characterized by single-crystal X-ray diffraction. [Pr₂(mBDC)₃(phen)(H₂O)]_n·0.5nH₂O (1) (mBDC=isophthalate, phen=1,10-phenanthroline) exhibits two kinds of metal environments (coordination numbers 7 and 8). In complex 1, mBDC ligands adopt the tetradentate (bridging and bridging) coordination mode and connect Pr ions into an undulating layer, and a 3D supramolecular structure is formed via hydrogen bonds between adjacent layers. [Tb₄(mBDC)₆(phen)]_n (2) has three types of metal environments (coordination numbers 6, 7 and 8) and is composed of a 3D network formed by mBDC linking Tb ions via tetradentate (bridging and bridging) and pentadentate (bridging/chelating and bridging) coordination modes. There are two kinds of small quadrilateral channels along the a-axis. [Er₄(mBDC)₆(phen)]_n (3) is isostructural to complex 2.     

Synthesis of a Novel Type of Phosphates of Puerarin

A novel type of phosphated puerarin derivatives were synthesized through a simplified Atheron‐Todd reaction for the first time. The structure of these compounds were elucidated by IR, ESI‐MS and NMR. Moreover, the reason the dialkylphophite reagent had different chemselectivities toward different hydroxys on the puerarin was discussed.     

Fe(III)-catalyzed oxidative coupling of alkylnitriles with aromatic carboxylic acids: Facile access to cyanomethyl esters

The first oxidative coupling of alkylnitriles with aromatic carboxylic acids using di-tert-butyl peroxide (DTBP) as oxidant was achieved under the catalysis of ionic Fe(III) complexes bearing an imidazolinium cation. This protocol features nontoxic iron catalysis, direct α-C(sp³)–H bond oxidative esterification of alkylnitriles, non-prefunctionalized starting materials, and a broad substrate scope with outstanding steric hindrance tolerance, providing a novel, straightforward, and green approach toward cyanomethyl ester synthesis.     

Periodic synchronization in a system of coupled phase oscillators with attractive and repulsive interactions

In this study we investigate the collective behavior of the generalized Kuramoto model with an external pinning force in which oscillators with positive and negative coupling strengths are conformists and contrarians, respectively. We focus on a situation in which the natural frequencies of the oscillators follow a uniform probability density. By numerically simulating the model, it is shown that the model supports multistable synchronized states such as a traveling wave state, π state and periodic synchronous state: an oscillating π state. The oscillating π state may be characterized by the phase distribution oscillating in a confined region and the phase difference between conformists and contrarians oscillating around π periodically. In addition, we present the parameter space of the oscillating π state and traveling wave state of the model.     

Structural and electronic properties of potassium-doped 1,2;8,9-dibenzopentacene superconductor: comparing with doped [7]phenacenes

Polycyclic aromatic hydrocarbons doped by metal have exhibited the potential of high temperature superconductivity. Understanding the basic properties of materials is the key to reveal the superconductivity. Here, a systemically theoretical study has been done to explore crystal structures and electronic properties of pristine and potassium-doped 1,2;8,9-dibenzopentacene, compared with [7]phenacenes case. We determined that vdW-DF2 functional is more suitable to describe the non-local interaction in a molecular crystal. Based on this functional, we predicted the crystal structures and investigated in detail the K atomic positions in a system. It was found that the intralayer doping leads to lower total energy. From the calculated formation energy, for each 1,2;8,9-dibenzopentacene molecule, the doping of two electrons is more stable under the relatively K-poor condition while the doping of four electrons is more stable under the K-rich condition. Between these two phases, the three-electron doping phase stabilises in a narrow region of K chemical potential. Combining with the electronic states at Fermi level, we analysed the reasons of superconductivity enhancement in doped 1,2;8,9-dibenzopentacene. This work further deepens the understanding of 1,2;8,9-dibenzopentacene superconductor.     

稳健偏最小二乘类模型及其在清真香肠红外质量控制中的应用

针对在实际多元质量控制中经常遇到的奇异样品问题,本研究提出了一种稳健偏最小二乘类模型.本方法基于Stahel-Donoho奇异度和样品重加权策略,用稳健的类中心和模型误差构造稳健的决策区间.将本方法用于清真香肠的红外分析,建立了稳健的质量控制方法.在香肠样品的不同部位进行取样,充分研磨后制备溴化钾压片,以空气为背景,测量4000～400 cm-1范围的红外透射光谱.基于73个清真香肠样品和78个非清真样品的光谱数据,研究了新提出的稳健类模型的统计效率和稳健性.在有奇异样品存在的情况下,本方法能有效检出奇异样品,为新样品的预测提供稳健的决策区间.排除奇异样品后,基于原始光谱的模型灵敏性为0.846,特异性为0.936;基于标准正态变量法的模型灵敏性为0.923,特异性为0.974.