Multiscale asymptotic method of optimal control on the boundary for heat equations of composite materials

In this paper, we study the optimal control on the boundary for parabolic equations with rapidly oscillating coefficients arising from the heat transfer problems and the optimal control on the boundary of composite materials or porous media. The multiscale asymptotic expansion of the solution for the problem in the case without any constraints is presented. We derive the proofs of all convergence results.     

金属卟啉及其与NO表面吸附物的FT—IR／PAS研究

光声光谱(Photoacoustic Spectroscopy,PAS)是研究凝聚态和表面吸附物振动光谱的1种新方法。近几年来PAS发展很快,它与FT-IR技术结合,已成为1种新的固体样品和表面分析的有力工具。本文应用FT-IR/PAS方法研究了金属卟啉配合物及其与NO的表面吸附物。卟啉及其金属配合物具有平面大π体系共轭环的结构特点,在光     

EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM

A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems. Under appropriate assumptions, the effective system is shown to approximate the original system, in the sense of a probabilistic convergence.     

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.     

Cleavage of polystyrene‐b‐poly(ethylene oxide) block copolymers with a trithiocarbonate linkage in solutions

In this work, the polystyrene‐b‐poly(ethylene oxide) (PS‐b‐PEO) block copolymers with a trithiocarbonate group between the blocks were prepared by polymerization of styrene in the presence of a trithiocarbonate reversible addition fragmentation chain transfer (RAFT) agent connected with PEO. Decomposition of the trithiocarbonate group by UV irradiation was investigated in three different types of solvent: tetrahydrofuran (THF, common solvent for both blocks), cyclohexane/dioxane mixture (selective solvent for the PS block) and N,N‐dimethylformamide (DMF)/ethanol mixture (selective solvent for the PEO block). It is found that cleavage of the block copolymers can take place in all these three solvents and the cleavage ratio ranges from 76 to 86%. The micellar morphologies in selective solvents before and after cleavage were examined. It is observed that the size of the micelles is reduced after cleavage and sometimes aggregation of the micelles occurs due to removal of the corona of micelles. It shows that this work provides a facile and general method for synthesis of cleavable block copolymers. © 2010 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 48: 3834–3840, 2010     

偏二甲肼渗透管标准物质的制备及其均匀性稳定性研究

以精馏和光解纯化工艺获得的高纯偏二甲肼为原料,制备了渗透率范围为0.5-30μg/min的偏二甲肼渗透管标准物质.经过均匀性、稳定性检验,结果表明:该标准物质均匀性、稳定性良好,为航天作业环境中各类快速检测仪的监控准确性提供了判定依据.     

Water and fluorinated alcohol mediated/promoted tandem insertion/aerobic oxidation/bisindolylation under metal-free conditions: Easy access to bis(indolyl)methanes

A green tandem reaction, including insertion/aerobic oxidation/bisindolylation, starting from indoles and diazo compounds has been developed. The combination of water and fluorinated alcohol plays dual roles as solvent and promoter in this chemical transformation. Molecular oxygen in the air acts as an oxidant. 3,3′-Bis(indolyl)methanes with quaternary carbon were produced under metal-free conditions. No any catalyst and additive were required. N₂ and water were released as sole by-products. Absence of water and fluorinated alcohol resulted in Wolff rearrangement product.     

A tubular one‐dimensional polymer constructed from alternating clusters of europium(III)–water and copper(I) chloride bridged by 4‐(pyridin‐4‐yl)benzoate

A new 3d–4f heterometallic polymer, poly[[aqua‐μ₃‐chlorido‐[μ₃‐4‐(pyridin‐4‐yl)benzoato]tris[μ₂‐4‐(pyridin‐4‐yl)benzoato]dicopper(I)erbium(III)] dihydrate], {[Cu₂Er(C₁₂H₈NO₂)₄Cl(H₂O)]·2H₂O}_n, was synthesized by the hydrothermal reaction of Er₂O₃, CuCl₂·2H₂O and 4‐(pyridin‐4‐yl)benzoic acid in the presence of HClO₄. The asymmetric unit contains one Er³⁺ cation, two Cu⁺ cations, one Cl⁻ anion, four deprotonated 4‐(pyridin‐4‐yl)benzoate ligands, one coordinated aqua ligand and two solvent water molecules. This tubular one‐dimensional polymer is constructed from alternating clusters of europium(III)–water and copper(I) chloride bridged by 4‐(pyridin‐4‐yl)benzoate ligands. Extensive hydrogen‐bonding interactions involving both the coordinated and the solvent water molecules provide further stabilization to the structure.