Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains

In this paper, we discuss the Cauchy-type integral formula of hypermonogenic functions on unbounded domains in real Clifford analysis, then we extend the Plemelj formula and Cauchy–Pompeiu formula of hypermonogenic functions on bounded domains to unbounded domains. We also deal with the Green-type formula on unbounded domains and get several important corollaries.     

LC–MS/MS法测定动物性食品中万古霉素残留

建立液相色谱–串联质谱(LC–MS/MS)法检测动物性食品中万古霉素药物残留的方法。用磷酸盐缓冲溶液对动物性食品中的万古霉素进行提取,经HLB固相萃取柱净化,采用电喷雾离子源,以正离子检测方式进行质谱分析。实验结果表明,万古霉素质量浓度在1~500μg/L范围内与色谱峰面积呈良好的线性,相关系数r=0.998。低、中、高3个质量浓度添加水平的回收率为84.8%~118.2%,相对标准偏差为2.2%~7.2%(n=5),检出限为2μg/kg。     

Microsensor Chip Integrated with Gold Nanoparticles‐Modified Ultramicroelectrode Array for Improved Electroanalytical Measurement of Copper Ions

This paper presents a microsensor chip integrated with a gold nanoparticles‐modified ultramicroelectrode array (UMEA) as the working electrode for the detection of copper ions in water. The microsensor chip was fabricated with Micro‐Electromechanical System technique. Gold nanoparticles were electrodeposited onto the surface of UMEA at a constant potential of ?0.3 V. The ratio d/R_b of interelectrode spacing (d) over the individual electrode’s radius (R_b) was investigated to improve the electrochemical performance. The UMEA with a d/R_b of 20 showed the best hemispherical diffusion mode, resulted in fast response time and high current response. The gold nanoparticles increased the active surface area of UMEA by not changing the geometries of UMEA, and the current response was increased further. Incorporating the optimized characteristic of UMEA and gold nanoparticles, the microsensor showed a good linear range from 0.5 to 200 µg L^?1 of copper ions in the acetate buffer solutions with the method of square wave stripping voltammetry. Compared with the gold nanoparticles‐modified disk electrode, the gold nanoparticles‐modified UMEA showed higher sensitivity (0.024 µA mm^?2 µg^?1 L) and lower limit of detection (0.2 µg L^?1). Water samples from river water and tap water were analyzed by the microsensor chip with recovery ranging from 100.7 % to 107.8 %.     

Liquid fragility of the unsaturated polyester resin

Curing behaviors of the unsaturated polyester resin (UPR) containing 1–1.8 wt% methyl ethyl ketone peroxide (MEKP) initiator are investigated. The viscosity, gelation and vitrification transition of the UPR-MEKP systems are examined using the rotating viscometer and differential scanning calorimetry (DSC). A liquid fragility parameter, M _c, defined as the viscosity variation rate of the liquids towards the curing temperature is presented. It is found that M _c has a good negative relation with the glass transition temperature (T _g) in the systems. M _c can be used for predicting the stability of the cured amorphous systems. The relationship between the liquid and cured thermoset polymer systems is studied from both the thermodynamic and kinetic point of view.     

分散固相萃取净化气相色谱-质谱联用法快速检测纸质包装材料中18种光引发剂

建立了一种分散固相萃取(d-SPE)净化、气相色谱-质谱联用法(GC-MS)检测纸质包装材料中18种光引发剂(PIs)的分析方法。样品经水浸润后,用乙腈对样品进行超声提取,提取液经正己烷-乙酸乙酯溶液(3∶7,V/V)液液萃取后,用无水MgSO4、N-丙基乙二胺(PSA)和C18粉末分散固相萃取净化,以GC-MS法测定,内标法定量。18种PIs在0.01～0.2 mg/L内线性关系良好(R2>0.997),3个加标水平(0.1,0.4和2 mg/m2)的回收率在81.6%～123.8%之间,相对标准偏差(RSD)为0.2%～9.6%,检出限(LOD)为0.007～0.023 mg/m2。结果表明:本方法简便、测定结果准确,可用于纸质包装材料中18种光引发剂残留的高通量检测。     

Synthesis and characterization of biphenyl liquid crystal based on natural molecules and 2(5H)-furanone moiety

Using 4′-hexyloxybiphenyl-4-ol and N-(5-alkoxy-3-bromo-2(5H)-furanonyl) amino acids as reactants, a series of novel biphenyl liquid crystal compounds containing natural molecule moieties, such as menthol, borneol, and amino acids, were synthesized via esterification. The structures of all novel compounds were confirmed by FTIR, ¹H NMR, ¹³C NMR, MS, and elemental analysis, and the liquid crystal properties of target compounds were characterized with DSC, XRD, and POM. The introduction of hexyloxy made the biphenyl esters have a potential to appear in mesomorphic phase and have a higher Tm, and bornyl moiety was more beneficial for the liquid crystal performance than a menthyl unit. Most compounds were mesomorphic phase liquid crystal molecules, and POM and XRD showed that they existed in smectic phase. These researches provide a theoretical basis for the synthesis of biphenyl ester liquid crystal materials via the utilization of 2(5H)-furanone derivates and natural molecules.     

Excellent degradation performance of azo dye by metallic glass/titanium dioxide composite powders

The metallic glass/titanium dioxide powders (MG/TiO₂) with enhanced photocatalytic oxidation activity were synthesized, which exhibit a higher efficiency in decolorizing methylene blue solutions (MB). Compared with the pure TiO₂ and crystalline alloy/TiO₂ (CA/TiO₂) under the same circumstances, its degradation rate was 60 % and 30 % higher, respectively. Furthermore, compared with the CA/TiO₂, the MG/TiO₂ photocatalytic rate was three times faster when decolorizing MB. Considering the excellent intrinsic high-performance photocatalytic degradation under visible light irradiation, these novel powders were proven to have potential applications in water purification industry.     

Synthesis of Imides by Palladium‐Catalyzed C?H Functionalization of Aldehydes with Secondary Amides

An efficient palladium‐catalyzed C? H functionalization of aldehydes with various N‐substituted N‐heteroarene‐2‐carboxamides has been developed for the synthesis of secondary imides. The reaction tolerates various functionalities, such as methoxy, fluoro, chloro, and bromo groups. A tentative radical mechanism for a Pd^II/Pd^IV catalytic cycle is proposed.     

磺酸功能化金属-有机骨架吸附脱氮性能

以硝基甲烷为溶剂,采用三氟甲磺酸酐(Tf2O)和浓硫酸对金属有机骨架材料MIL-101(Cr){Cr3F(H2O)2O[(O2C)-C6H4-(CO2)]3nH2O(n~25)}进行磺酸功能化修饰,使其孔壁配体上形成磺酸基团.通过改变MIL-101(Cr)、Tf2O和浓硫酸的摩尔配比,得到含有不同磺酸基团数量的S-MIL-101(Cr),对磺化后的材料进行了X射线衍射(XRD)、傅里叶变换红外(FTIR)、氮气物理吸附、酸碱电位滴定以及热重分析(TGA)表征.结果表明,磺酸功能化后MIL-101(Cr)的孔道结构仍然保持,比表面积和孔径有所下降,表面磺酸基团的数量根据磺化程度的不同从0.21到0.42 mmol g-1不等.将磺酸功能化后的MIL-101(Cr)用于液体燃料的吸附脱氮,发现磺酸功能化能够增强MIL-101(Cr)与含氮化合物的相互作用,有利于其对碱性氮化物的吸附脱除.相对于未经磺化的样品,按照摩尔配比n(MIL-101(Cr)):n(H2SO4):n(Tf2O)=1:3:4.5反应得到的磺酸功能化MIL-101(Cr)对喹啉和吲哚的吸附量提高较大,其对喹啉和吲哚的Langmuir最大吸附量分别提高了12.2%和6.3%.通过乙醇洗涤,吸附剂可再生,经过三次再生之后的吸附剂对模拟燃料中含氮化合物的吸附量没有明显的降低.     

High‐Order Soliton Solution of Landau–Lifshitz Equation

The Landau–Lifshitz equation is analyzed via the inverse scattering method. First, we give the well‐posedness theory for Landau–Lifshitz equation with the frame of inverse scattering method. The generalized Darboux transformation is rigorous considered in the frame of inverse scattering transformation. Finally, we give the high‐order soliton solution formula of Landau–Lifshitz equation and vortex filament equation.