沙林酸印迹聚邻苯二胺纳米膜制备及结构表征

采用电化学聚合法合成了对有机磷毒剂沙林具有特异识别的聚邻苯二胺(PPD)分子印迹纳米膜(iPPD).利用石英晶体微天平(QCM)证实了印迹效应的存在，并用循环伏安法(CV)、AFM、XPS进行了系统的结构表征.结果表明，分子印迹膜的膜厚约20 nm，膜的表面呈“石林”状，疏松多孔，具有良好的吸附性能.分子印迹主要影响聚合物的三维排列，而聚合物的化学组成没有发生改变.该种分子印迹纳米膜在选择性检测军用毒剂沙林中具有良好的应用前景.     

三(邻氟苄基）氯化锡和四(对氟苄基）锡的合成及结构研究

邻氟苄基氯或对氟苄基氯分别与锡反应合成三(邻氟苄基)氯化锡(1)和四(对氟 苄基)锡(2)．经X射线方法测定了新化合物的晶体结构．晶体结构1属单斜晶系，空 间群为P2(1)／n，晶体学参数：a＝0.5896(9)nm,b-1.262(2)nm,c=2.634(4)nm, V=1.959(5)nm^3,Z=4,Dx=1.632g/cm^3,μ（Mo Kα)=14.69cm^-1,F(000)=952, R1=0.0541,wR2=0.1280;晶体结构2属单余晶系，空间群为Cc,晶体学参数：α=1. 0778(6)nm,b=2.3312(14)nm,c=1.0888(7)nm,V=2.460(3)nm^3,Z=4,Dx=1. 499g/cm^2,μ(Mo Kα)=10.82cm^-1,F(000)=1112,R1=0.0302,wR2=0.0590.在化合 物1和2中Sn-C键长分别为0.2136-0.2148和0.2138-0.2180nm,Sn-Cl键长为0.2378 (4)nm,中心锡与亚甲基碳（氯）原子构成畸型四面体。     

活性酯固化邻甲酚环氧树脂反应机理的研究

采用交叉反应研究在促进剂2-甲基咪唑存在下活性酯固化邻甲酚环氧树脂的反 应机理，用傅立叶转换红外（FTIR）原位测量技术，NMR，气-质联用（GC-MS）等 手段研究了模型化合物的反应动力学，并提出了其反应机理。结果表明，在促进剂 2-甲基咪唑存在下活性酯固化邻甲酚环氧树脂的反应是通过分子内机理进行的。     

NONCOMMUTATIVE ORLICZ-HARDY SPACES

Let(Φ, Ψ) be a pair of complementary N-functions and HΦ(A) and HΨ(A) be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg and innerouter type factorization theorems of Hp(A) to this case.     

An attempt to differential Galois theory of second order polynomial system and solvable subgroup of M(o)bius transformations

By introducing the conception "relativistic differential Galois group" for the second order polynomial systems, we establish the relation between the conformal relativistic differential Galois group and the subgroup of M(o)bius transformations, and prove that the system is integrable in the sense of Liouville if its conformal relativistic differential Galois group is solvable with a derived length at most 2. Some omissions on the structures of solvable subgroups of M(o)bius transformations at the first author's article published in this journal in 1996 are refreshed in this paper.     

局部分数阶拉普拉斯算子的狄利克雷问题弱解的细正则性

In this paper, we study the Holder regularity of weak solutions to the Dirichlet problem associated with the regional fractional Laplacian (-△)^αΩ on a bounded open set Ω ■R(N ≥ 2) with C^(1,1) boundary ■Ω. We prove that when f ∈ L^p(Ω), and g ∈ C(Ω), the following problem (-△)^αΩu = f in Ω, u = g on ■Ω, admits a unique weak solution u ∈ W^(α,2)(Ω) ∩ C(Ω),where p >N/2-2α and 1/2< α < 1. To solve this problem, we consider it into two special cases, i.e.,g ≡ 0 on ■Ω and f ≡ 0 in Ω. Finally, taking into account the preceding two cases, the general conclusion is drawn.     

Structure, spin reorientation and M(o)ssbauer effect studies of Tb0.3Dy0.7(Fe1-xAlx)1.95 alloys

The effect of Al substitution for Fe on crystal structure, magnetostriction and spontaneous magnetostriction, anisotropy and spin reorientation of a series of polycrystalline Tb0.3Dy0.7(Fe1-xAlx)1.95 alloys (x = 0, 0.05, 0.1, 0.15, 0.20, 0.25, 0.30, 0.35) at room temperature and 77 K was investigated systematically. It was found that the primary phase of Tb0.3Dy0.7(Fe1-xAlx)1.95 is the MgCu2-type cubic Laves phase structure when x < 0.4 and the lattice constant a of Tb0.3Dy0.7(Fe1-xAlx)1.95 increases approximately and monotonically with the increase of x. The substitution of Al leads to the fact that the magnetostriction ( inceases slightly in a low magnetic field (H ≤ 40 kA/m), but decreases sharply and is easily close to saturation in a high applied field as x increases, showing that a small amount of Al substitution is beneficial to a decrease in the magnetocrystalline anisotropy. It was also found that the spontaneous magnetostriction (ζ)111 decreases greatly with x increasing. The analysis of the M(o)ssbauer spectra indicated that the easy magnetization direction in the {110} plane deviates slightly from the main axis of symmetry with the changes of composition and temperature, namely spin reorientation. A small amount of non-magnetic phase exists for x = 0.15 in Tb0.3Dy0.7(Fe1-xAlx)1.95 alloys and the alloys become paramagnetic for x > 0.15 at room temperture, but at 77 K the alloys still remain magnetic phase even for x = 0.2. At room temperature and 77 K, the hyperfine field decreases and the isomer shifts increase with Al concentration increasing.     

新型多取代Tr(o)ger's base衍生物的合成及其晶体结构

以邻氨基二苯甲酮为原料,经两分子环化缩合反应制得6,12-二芳基二苯并[b,f][1,5]二氮杂环辛四烯(2a~2d);2a~2d经LiAlH4还原制得6,12-二芳基-5,6,11,12-四氢二苯并[b,f][1,5]二氮杂环辛(3a~3d);3a~3d与醛(或酮)反应,合成了一系列新型的多取代Tr(o)ger's base衍生物(4a~4d和5a~7a),其结构经1H NMR, 13C NMR, HR-MS(ESI)和X-射线单晶衍射表征.通过分析架桥前后3a(CCDC: 1498564)和6a(CCDC: 1498555)的晶体结构,解释了该类化合物1H NMR中NCH质子及桥上取代基质子裂分的原因,并进一步证实了4~7为非C2轴对称结构.     

Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations

We consider the derivative nonlinear Schrödinger equations

org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img1.gif" ALT="\begin{displaymath}\left\{ \begin{split} iu_{t}+\tfrac{1}{2}&u_{xx}=a(t)F(u,u_{... ...epsilon u_{0}(x),\quad x\in {\mathbf{R}}, \end{split} \right. \end{displaymath}">

where the coefficient org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img2.gif" ALT="$a\left( t\right) $"> satisfies the time growth condition

org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img3.gif" ALT="\begin{displaymath}\left\vert a\left( t\right) \right\vert \leq C\left( 1+\left\vert t\right\vert \right) ^{1-\delta },\qquad 0<\delta <1,\end{displaymath}">

org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img4.gif" ALT="$\epsilon $"> is a sufficiently small constant and the nonlinear interaction term org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img5.gif" ALT="$F$"> consists of cubic nonlinearities of derivative type
org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img6.gif" ALT="\begin{align*}F(u,u_{x}) = &\lambda _{1}\left\vert u\right\vert ^{2}u+i\lambda _... ...ar{u} u_{x}^{2}+i\lambda _{6}\left\vert u_{x}\right\vert ^{2}u_{x}, \end{align*}">
where org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img7.gif" ALT="$\lambda _{1},\lambda _{6}\in \mathbf{R},$"> org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img8.gif" ALT="$\lambda _{2},\lambda _{3},\lambda _{4},\lambda _{5}\in \mathbf{C},$"> org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img9.gif" ALT="$\lambda _{2}-\lambda _{3}\in \mathbf{R,}$"> and org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img10.gif" ALT="$\lambda _{4}-\lambda _{5}\in \mathbf{R}$">. We suppose that the initial data satifsfy the exponential decay conditions. Then we prove the sharp decay estimate org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img11.gif" ALT="$\Vert u(t)\Vert _{\mathbf{L}^{p}}\leq C\epsilon t^{ \frac{1}{p}-\frac{1}{2}}$">, for all org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img12.gif" ALT="$t\geq 1$">, where org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img13.gif" ALT="$2\leq p\leq \infty $">. Furthermore we show that for org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img14.gif" ALT="$\frac{1}{2}<\delta <1$"> there exist the usual scattering states, when org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img15.gif" ALT="$b(x)=\lambda _{1}-\left( \lambda _{2}-\lambda _{3}\right) x+\left( \lambda _{4}-\lambda _{5}\right) x^{2}-\lambda _{6}x^{3}=0,$"> and the modified scattering states, when org/proc/2002-130-03/S0002-9939-01-06111-1/gif-abstract0/img16.gif" ALT="$b(x)\neq 0.$">

     

Solutions to a class of Schrödinger equations

We establish existence and multiplicity of solutions to a class of nonlinear Schrödinger equations with, e.g., ``atomic' Hamiltonians, via critical point theory.