The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

In this article we consider partitioned Runge-Kutta (PRK) methods for Hamiltonian partial differential equations (PDEs) and present some sufficient conditions for multi-symplecticity of PRK methods of Hamiltonian PDEs.

     

具有转向点超曲面的奇摄动椭圆型方程边值问题

本文利用多重尺度法和比较定理，研究了n维空间中一类具有转向点超曲面的奇摄动椭圆方程边值问题，研究了该值问题解的渐近性态。     

Crystal structure and morphology of phenyl‐capped tetraaniline in the leucoemeraldine oxidation state

A series of crystals of phenyl‐capped tetraaniline in the leucoemeraldine oxidation state were obtained at different isothermal temperatures and were observed directly under transmission electron microscope. The crystals obtained at higher temperatures exhibit more perfect structures than those obtained at lower temperatures. Both the lamella thickness and the crystal size increase with crystallization temperature. The tetraaniline is apt to form larger scale crystals under lower degree of supercooling. However, their crystal structures keep steady with the crystallization temperature. The tetramer was found to adopt a monoclinic lattice with unit cell parameter of a = 13.93 Å, b = 8.82 Å, c = 23.20 Å, and β = 95.03°, as determined using electron diffraction tilting method combined with wide‐angle X‐ray diffraction experiment. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 44: 764–769, 2006     

环丙烯基自由基H-F力的abinitio研究

环丙烯基自由基是我们熟知的最小环状化合物。人们用不同的理论方法对它进行了预测。一般认为平面构型(D_(3h)对称性)要经受Jahn-Teller畸变以消除π轨道的简并性,畸变过程如图1所示。我们研究了此类三元环自由基引起的键的“弯曲效应”,以便对这类“张力”分子的成键特性及Jahn-Teller畸变、芳香性等给出某些理论信息,探讨其理论计算结果所能阐明的问题。     

N-(1-异丙基-2-羧基-4-甲基二环[2.2.2]-5-辛烯-3-羰基)-N′-芳基(硫)脲的合成

在无溶剂绿色化学条件下,将α-萜品烯-马来酸酐加成物(1)与取代苯(硫)脲发生N-酰化反应,合成了4个N-(1-异丙基-2-羧基-4-甲基二环[2.2.2]-5-辛烯-3-羰基)-N′-芳基(硫)脲化合物(3a~3d),并由IR、UV-Vis、MS、1HNMR、13C NMR和元素分析确认了目标产物的结构。生物活性测试表明,其中3个化合物(3a、3b和3c)具有植物激素作用。     

薯蓣皂甙元的分光光度法测定

本文以黄姜为主要对象研究了薯蓣皂甙元的定量测定方法，以香荚兰醛－高氯酸为显色剂，冰醋酸为溶剂，使皂甙元显色，用分光光度法在波长为５３０ｎｍ处测定薯蓣皂甙元的含量。从植物中提取的皂甙元不需分离可直接测定。在１．００～２０．００ｍｇ／Ｌ范围内呈良好的线性关系。     

Ordered nickel oxide nanowire arrays and their optical absorption properties

Ordered NiO nanowire arrays embedded in anodic alumina membranes have been prepared by using an electrochemical deposition method. After annealing at 300 °C, the NiO nanowire arrays were characterized using SEM, TEM, SAED, and XRD. SEM and TEM observations reveal that these nanowires are dense, continuous and arranged roughly parallel to one another. XRD and SAED analysis together indicate that these NiO nanowires crystallize with a polycrystalline structure. The optical absorption band gap of NiO nanowire arrays is 3.74 eV, and no obvious blue shift or red shift with respect of that of the bulk NiO can be observed.     

两组份互穿网络聚合物的合成研究

以蓖麻油聚氨酯和聚醚聚氨酯的不同重量比与光敏剂、催化剂、稀释剂、促进剂所组成的多相体系为反应物,分别在紫外光照射和加热的条件下合成网络Ⅰ和网络Ⅱ的互穿网络聚合物(IPN)。改变网络Ⅱ聚醚聚氨酯中各组份的摩尔比制得系列样品。红外光谱,应力-应变曲线和动态力学性能测定发现,样品的力学性能与两组份重量比和网络Ⅱ中不同组成都存在着一定关系。这些结果,为该体系IPN的合成和应用提供了一定依据。