A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHROEDINGER EQUATION

In this paper, a two-scale higher-order finite element discretization scheme is proposed and analyzed for a Schroedinger equation on tensor product domains. With the scheme, the solution of the eigenvalue problem on a fine grid can be reduced to an eigenvalue problem on a much coarser grid together with some eigenvalue problems on partially fine grids. It is shown theoretically and numerically that the proposed two-scale higher-order scheme not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.     

气相色谱-质谱法检测沉积物中自由态与束缚态多溴联苯醚和四溴双酚-A

建立了一种同时测定沉积物中不同赋存形态的多溴联苯醚(PBDEs)和四溴双酚A(TBBPA)的分析方法.样品由等体积的丙酮和正己烷混合溶剂抽提得到自由态目标物,再通过碱性水解反应释放束缚态目标化合物.通过调节酸度(pH值)实现PBDEs和TBBPA的分离和提取.PBDEs由复合硅胶柱净化,运用气相色谱-质谱(负离子化学源)-分时段选择离子监测技术测定;TBBPA经重氮甲烷衍生化反应后由酸性硅胶柱预纯化,运用气相色谱-质谱(电子轰击源)-分时段选择离子监测技术测定.8种低溴联苯醚(BDE28,-47,-66,-100,-99,-154,-153,-183),十溴联苯醚(BDE209)和TBBPA的检出限分别为0.6～12.5 pg/g,172 pg/g,4 2 pg/g.方法具有良好的准确度和精确度,回收率均在74%～106%之间,RSD≤10%.对东江沉积物样品的分析表明,本方法能够实现不同形态的PBDEs 和TBBPA的有效检测.     

Phosphorous,nitrogen, and molybdenum ternary co-doped TiO2: preparation and photocatalytic activities under visible light

P, N, and Mo ternary co-doped nano TiO₂ photocatalysts ((P, N, Mo)-TiO₂) were prepared by a single step sol–gel method, which show much enhanced photocatalytic activities over Mo-TiO₂, (P, N)-TiO₂, un-doped TiO₂ and Degussa P25 under visible light irradiation. The degradation rate of 0.72Mo–P-TiO₂ is as high as 65.3%, which is about 6.7 times of that of Degussa P25. Possible reasons for the improvement of photocatalytic activities were analyzed.     

Synthesis of novel biodegradable poly(ethylene glycol) analogue:Water-soluble aliphatic polyester with pendant oligo(ethylene glycol) chains

A novel poly(ethylene glycol)(PEG) analogue composed of aliphatic polyester backbone and pendant oligo(ethylene glycol) short chains is reported.The PEG analogue is a copolymer synthesized by ring-opening alternating copolymerization of succinic anhydride with 2-((2-(2-metho xyethoxy)ethoxy)methyl)oxirane.The structure of the copolymer was confirmed by ~1H NMR spectrum.The effects of the monomer feed ratio on the copolymerization were studied and the polymerization mechanism was given.The PEG analogue di...     

Highly active catalyst for vinyl acetate synthesis by modified activated carbon

A new zinc acetate catalyst which was prepared from modified activated carbon exhibited extreme activity towards the synthesis of vinyl acetate.The activated carbon was modified by nitric acid,vitriol and peroxyacetic acid(PAA).The effect on specific area, structure,pH and surface acidity groups of carriers by modification was discussed.Amount of carbonyl and carboxyl groups in activated carbon was increased by peroxyacetic acid treatment.The productivity of the new catalyst was 14.58%higher than that of...     

Switching of one beam by another in a Kerr type nonlinear Mach–Zehnder interferometer

This paper investigates switching of one beam by another in a Kerr type nonlinear Mach–Zehnder interferometer (NMZI) with two input ports and one output port. The present investigation has been carried out using the beam propagation method (BPM). The paper presents a detailed account on the procedures used to choose the parameters of the NMZI to make it behave like a NOT gate (inverter), an AND gate, an amplifier and a wavelength converter. The paper also gives details on the manipulation of the operating inputs of the NMZI to desired values. It is shown that the operating values of both the inputs of the NMZI can simultaneously be increased/decreased by decreasing/increasing the nonlinearity coefficient of nonlinear arm of the NMZI. Variation of NMZI length varies the operating value of only the first input, keeping the second unchanged, while variation of NMZI offset varies the operating value of only the second, keeping the first unchanged. The paper also gives a detailed account on amplification of the NMZI amplifier/wavelength converter. The present investigation is useful from the scientific as well as engineering point of view.     

Fabrication of cationic nanomicelle from chitosan-graft-polycaprolactone as the carrier of 7-ethyl-10-hydroxy-camptothecin

In this research, amphiphilic brush-like polycations were synthesized, and used to fabricate cationic nanomicelle as the carrier of 7-ethyl-10-hydroxy-camptothecin (SN-38), in order to enhance its cellular uptake, solubility and stability in aqueous media. In particular, cationic chitosan-graft-polycaprolactone (CS-g-PCL) copolymers were synthesized with a facile one-pot manner via ring-opening polymerization of ɛ-CL onto the hydroxyl groups of CS by using methanesulfonic acid as solvent and catalyst. The formation of CS-g-PCL nanomicelles was confirmed by fluorescence spectrophotoscopy and particle size measurements. It was found that all the nanomicelles showed spherical shapes with narrow size distributions. Their sizes ranged from 47 to 113 nm, and the zeta potentials ranged from 26.7 to 50.8 mV, depending on the grafting content of PCL in CS-g-PCL, suggesting their passive targeting to tumor tissue and endocytosis potential. Water-insoluble antitumor drug, SN-38, was easily encapsulated into CS-g-PCL nanomicelles by lyophilization method. In comparison with bare CS-g-PCL nanomicelles, the corresponding SN-38-loaded nanomicelles showed increased particle sizes and a little reduced zeta potentials. With an increase of grafting PCL content, the drug encapsulation efficiency (EE) and drug loading (DL) of the nanomicelles increased from 64.3 to 84.6% and 6.43 to 8.66%, respectively, whereas their accumulative drug release showed a tendency to decrease due to the enhanced hydrophobic interaction between hydrophobic drug and hydrophobic PCL segments in CS-g-PCL. Also, the CS-g-PCL nanomicelles effectively protected the active lactone ring of SN-38 from hydrolysis under physiological condition, due to the encapsulation of SN-38 into the hydrophobic cores in the nanomicelles. Compared with free SN-38, the SN-38-loaded nanomicelles showed essential decreased cytotoxicity against L929 cell line, and bare CS-g-PCL nanomicelles almost showed non-toxicity. These results suggested the potential utilization of the CS-g-PCL nanomicelles as the carriers of hydrophobic drugs with improving the delivery and release properties.     

Formation and tribological properties of two‐component ultrathin ionic liquid films on Si

Several single‐component and two‐component imidazolium ionic liquids (ILs) ultrathin films were formed on Si substrates by a dip‐coating and heat treatment process. The formation and surface properties of the films were analyzed by means of ellipsometric thickness measurement, X‐ray photoelectron spectra and atomic force microscope. The adhesive and nanotribological behaviors of the films were evaluated by a homemade colloidal probe. A ball‐on‐plate tribometer was used to test the microtribological performances of these films. As a result, the two‐component ILs ultrathin film containing 80% solid‐like ILs phase shows more homogenous surface morphologies and optimal micro/nano‐tribological properties as compared to single‐component ILs films, which is ascribed to a synergic effect between the steady solid‐like ILs phase as the backbone and the proper amount of flowable liquid‐like ILs phase. By studying the influence of various solid/liquid ILs ratios on tribological properties of the two‐component ILs films, we might find the way to design ILs films with excellent comprehensive tribological properties. Copyright © 2010 John Wiley & Sons, Ltd.     

One‐pot synthesis of hyperbranched glycopolymers by RAFT polymerization

Soluble hyperbranched glycopolymers were prepared by copolymerization of glycan monomers with reversible addition‐fragmentation chain transfer polymerization (RAFT) inimers in a simple one‐pot reaction. Two novel RAFT inimers, 2‐(methacryloyloxy)ethyl 4‐cyano‐4‐(phenylcarbonothioylthio)pentanoate (MAE‐CPP) and 2‐(3‐(benzylthiocarbonothioylthio)propanoyloxy)ethyl acrylate (BCP‐EA) were synthesized and used to prepare hyperbranched glycopolymers. Two types of galactose‐based saccharide monomers, 6‐O‐methacryloyl‐1,2:3,4‐di‐O‐isopropylidene‐D ‐galactopyranose (proGal‐M) and 6‐O‐(2′‐acrylamido‐2′‐methylpropanoate)‐1,2:3,4‐di‐O‐isopropylidene‐D ‐galactopyranose (proGal‐A), containing a methacrylate and an acrylamide group, respectively, were also synthesized and polymerized under the mediation of the MAE‐CPP and BCP‐EA inimers, respectively. In addition, hyperbranched poly(proGal‐M), linear poly(proGal‐A), and hyperbranched poly(proGal‐A) were generated and their polymerization kinetics were studied and compared. An unexpected difference was observed in the kinetics between the two monomers during polymerization: the relationship between polymerization rate and concentration of inimer was totally opposite in the two monomer–inimer systems. Branching analysis was conducted by using degree of branching (DB) as the measurement parameter. As expected, a higher DB occurred with increased inimer content. Furthermore, these polymers were readily deprotected by hydrolysis in trifluoroacetic acid solution resulting in water‐soluble polymers. The resulting branched glycopolymers have potential as biomimetics of polysaccharides. © 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012     

SiC/SiO2 core–shell nanowires with different shapes: Synthesis and field emission properties

Three different shapes of SiC/SiO₂ core–shell nanowires were synthesized on Si substrates through a reaction between methane and silica using iron as catalyst. Analysis of scanning electron microscopy (SEM) and transmission electron microscopy (TEM) results indicated that catalyst morphology was the key factor for the formation of these three different products. The field emission properties of these three nanowires were investigated. Comparing the field emission results of these three nanowires, we can obtain a conclusion that a vertically well-aligned orientation to the substrate played a very significant role in improving the field emission properties when the emitters are up to a considerable number.