Optimization of unsteady incompressible Navier–Stokes flows using variational level set method

This paper presents the optimization of unsteady Navier–Stokes flows using the variational level set method. The solid–liquid interface is expressed by the level set function implicitly, and the fluid velocity is constrained to be zero in the solid domain. An optimization problem, which is constrained by the Navier–Stokes equations and a fluid volume constraint, is analyzed by the Lagrangian multiplier based adjoint approach. The corresponding continuous adjoint equations and the shape sensitivity are derived. The level set function is evolved by solving the Hamilton–Jacobian equation with the upwind finite difference method. The optimization method can be used to design channels for flows with or without body forces. The numerical examples demonstrate the feasibility and robustness of this optimization method for unsteady Navier–Stokes flows.Copyright © 2012 John Wiley & Sons, Ltd.     

Zn2GeO4·GeO2:Mn2+的合成及发光

提供了一个制备Zn2GeO4·GeO2:Mn2+发光粉的方法。指出了加入过量GeO2能降低反应温度,加速反应过程,大大提高发光亮度的原因。测定了该粉的光致和阴极射线发光亮度及光谱.结果表明影响Mn2+谱带位移的主要因素是氧锰键长及其共价性大小。     

混沌激光实现异质物大小和位置的光学检测

利用混沌激光实现一定浓度脂肪乳液中异质物大小和位置的光学检测,实验采用混沌激光作为光源,并将光信号分为两路,一路信号用于探测脂肪乳液中的异质物信息,另外一路直接经过光电探测器作为参考信号,将两路光信号由光电探测器接收,通过信号处理系统进行互相关,分析混沌激光的互相关峰值信息,可得到异质物的大小和位置信息;通过混沌激光实现异质物信息分析的理论模型,建立混沌相关信号峰值信息与异质物大小和位置之间的关系,并且通过实验验证。结果表明:采用混沌互相关法可以对异质物大小和位置坐标进行探测。     

一类无界三对角型算子矩阵的谱估计*

本文研究了一类 n × n阶无界三对角型对角占优算子矩阵的可闭 (闭) 性和谱估计问题.首先通过分析算子矩阵内部元素之间的关系, 给出了该类算子矩阵可闭 (闭)的一个充分条件, 并在此基础上利用 Schur 补刻画了其谱的范围.最后将所得结果应用于量子力学中的三通道 Hamilton 算子矩阵中,说明了结果的合理性.     

A method for quantitative determination of deuterium content in biological material

A method was developed for quantitative determination of deuterium incorporated into live organisms or biological macromolecules. The deuterated biological material was mixed with a bovine serum albumin (BSA) supporter to make a homogeneous sample for which the deltaD value (vs. VSMOW) was analyzed using a dual-inlet gas isotope mass spectrometer. The method is described in detail, and the equation for calculation of deuterium content is presented, i.e., CbioD=1/500 x k x RVSMOW x CBSAH x 10(6) ppm. Deuterated hepatitis A virus (HAV) RNA and BSA were systematically investigated. The results demonstrate that the method is capable of direct measurement of deuterium content, and is highly repeatable and reliable with a standard deviation of +/-3 per thousand. It is stressed that the quantity of deuterated sample required is extremely small as a result of using BSA as supporter. The method may be applied in many fields, and has the strengths of simplicity, relative cheapness, and robustness.     

Synthesis and crystal and molecular structure of Mo4O(OCH2But)10(py): A 12-electron butterfly cluster

From the reaction between Mo₂(OCH₂Bu^t)₆ and water (1/2 equiv) in toluene solution in the presence of pyridine the oxo-alkoxide tetranuclear cluster Mo₄O(OCH₂Bu^t)₁₀(py) has been isolated as a dark crystalline compound. Crystal data at –121°C:a=24.762(12) Å,b=24.799(9) Å,c=23.021(9) Å,Z=8,d _caled=1.27 g cm^–3 in space group 14/m. The compound contains a Mo₄ butterfly with a hinge angle of 137° between the two Mo₃ triangles. The molecule has a crystallographically-imposed mirror plane of symmetry that contains the wing-tip Mo atoms. One wing-tip Mo atom is in an octahedral environment being bonded to two terminal and two-bridging OR ligands, and one pyridine ligand that is trans to a ₃-oxo bridge. The other Mo atoms are each coordinated to only four oxygen atoms. The backbone Mo atoms have one terminal and two bridging OR ligands and form one bond each to the ₃-oxo group. The other wing-tip Mo atom is coordinated to two terminal and two bridging OR groups. The five Mo-Mo distances span the range 2.43–2.59 Å. The¹H and¹³C{¹H} NMR spectra in benzene-d₆ are consistent with the presence of this structure in solution. The present results are compared to earlier findings for 12-electron alkoxide clusters of Mo and W.     

Photovoltage mechanism for room light conversion of citrate stabilized silver nanocrystal seeds to large nanoprisms

We investigate the photoconversion of aqueous 8 nm Ag nanocrystal seeds into 70 nm single crystal plate nanoprisms. The process relies on the excitation of Ag surface plasmons. The process requires dioxygen, and the transformation rate is first-order in seed concentration. Although citrate is necessary for the conversion, and is consumed, the transformation rate is independent of citrate concentration. We propose a mechanism that accounts for these features by coupling the oxidative etching of the seed and the subsequent photoreduction of aqueous Ag(+). The reduced Ag deposits onto a Ag prism of specific size that has a cathodic photovoltage resulting from plasmon "hot hole" citrate photo-oxidation. This photovoltage mechanism also explains recent experimental results involving single and dual wavelength irradiation and the core/shell synthesis of Ag layers on Au seeds.     

A ruthenium(II) complex with a methylated polypyridine ligand: synthesis,DNA binding,and antiproliferation activity

Transition Metal Chemistry - A ruthenium polypyridine complex, [Ru(mptpy)(Mmptpy)Cl][PF6]2 (Ru1, mptpy?=?4-(4-methylphenyl)-2,2′,6′,2″-mptpyridine,...     

A Bio-inspired Nano-pocket Spatial Structure for Targeting Uranyl Capture

Biology has evolved excellent spatial structures for high-selectivity and high-affinity capture of heavy metals. Inspired by the spatial structure of the superb-uranyl binding protein SUP, we mimic the spatial structure of SUP in metal–organic frameworks (MOFs). The MOF UiO-66-3C4N fabricated by introducing 4-aminoisophthalic acid into UiO-66 shows high uranyl adsorption capacity both in simulated seawater and in natural seawater. In natural seawater, UiO-66-3C4N exhibits 17.03 times higher uranium extraction capacity than that of vanadium, indicating the high selectivity of the adsorbent. The EXAFS analysis and DFT calculation reveal that UiO-66-3C4N forms smaller nano-pocket for uranyl capture than that of SUP protein, which can both restrict the entrance of the other interfering ions with larger size and reinforce the binding by increasing the coordination interaction, and therefore qualify the nano-pocket with high affinity and high selectivity to uranyl.