One-dimensional Coordination Polymers of rctt-1,3-Diphenyl-2,4-bis [2-（5-phenyl）- oxazolyl]cyclobutane with CuCI2 and COCl2

The Cu（Ⅱ） and Co（Ⅱ） supramolecular coordination polymers, [CuCl2（DPO）- （CH3CN）0.5（CH2Cl2）0.5]n （CuDPO, DPO = rctt-1,3-diphenyl-2,4-bis[2-（5-phenyl）oxazolyl]cyclo- butane） and [CoCl2（DPO）]n （CoDPO）, were synthesized and characterized by single-crystal X-ray diffraction method. CuDPO crystallizes in monoclinic, space group P21/n, with a = 11.243（5）, b = 16.070（8）, c = 19.872（9） A, β = 95.678（10）°, Z = 4, V= 3573（3） A3, C35.50H28.50Cl3CuN2.50O2, Mr = 692.00, Dc = 1.287 g/cm3, p = 0.868 mm^-1, F（000） = 1420, S = 1.089, （△/σ）max = 0.069, the final R = 0.0682 and wR = 0.1749. CoDPO is of monoclinie, space group P21/n, with a = 11.396（4）, b = 15.151（5）, c = 17.673（6） A, β = 90.528（6）°, Z = 4, V = 3051.4（17） A3, C34H26Cl2CoN2O2, Mr = 624.40, Dc = 1.359 g/cm3, μ = 0.770 mm^-1, F（000） = 1284, S = 0.981, （△/σ）max = 0.001, the final R = 0.0471 and wR = 0.0961. In each case, the metal cation is coordinated by two C1 anions and two N atoms from oxazole ring of the ligands, which leads to the formation of a one-dimensional polymeric structure. It is found that the cyclobutane ring of coordinated DPO adopts a distorted conformation in the crystal, which is attributed to the increased steric effect between adjacent aryl substituents for the coordination of oxazole ring to metal cation. Thermal gravimetric analysis of the two complexes was also observed.     

一类p-Laplace方程边值问题解的存在性

主要讨论一维p-Laplace方程在Neumann边值条件u(0)=0,u(1)=0下,对应的边值问题解的存在性.通过使用度理论,在适当的条件下,建立了对于p-Laplace方程在Neumann条件下解的存在性的充分条件.     

线性定常广义系统的D型迭代学习控制收敛性

给出了线性定常广义系统在D型学习律作用下的迭代控制收敛性结果,这一结果是全新的,其对时变系统也成立,而且,本文结果和方法大部分可以移植到线性定常广义离散时间系统.     

综合阻尼系数——线性定常系统阻尼特性的新定义

本文应用能量型的定理,建立了线性定常系统阻尼特性的分析方法。定义了阻尼能量函数D(X₀,X)=C_i integral from n=(X₀,X) x_idx_i-1及综合阻尼系数η=min(C_i/a_n-i)。得出结论:(1)Hurwitz判别式中的△_n-1正比于系统振荡的阻尼效应;(2)定常系统的综合阻尼系数可以写成分段解析的有理分数形式,便于计算与分析;(3)求出了不依赖于ω的同步电机的电磁阻尼力矩系数。     

RESEARCH ON METHOD TO CALCULATE VELOCITIES OF SOLID PHASE AND LIQUID PHASE IN DEBRIS FLOW

Velocities of solid phase and liquid phase in debris flow are one key problem to research on impact and abrasion mechanism of banks and control structures under action of debris flow. Debris flow was simplified as two-phase liquid composed of solid phase with the same diameter particles and liquid phase with the same mechanical features. Assume debris flow was one-dimension two-phase liquid moving to one direction, then general equations of velocities of solid phase and liquid phase were founded in two-phase theory. Methods to calculate average pressures, volume forces and surface forces of debris flow control volume were established. Specially, surface forces were ascertained using Bingham's rheology equation of liquid phase and Bagnold's testing results about interaction between particles of solid phase. Proportional coefficient of velocities between liquid phase and solid phase was put forward, meanwhile, divergent coefficient between theoretical velocity and real velocity of solid phase was provided too. To state succinctly before, method to calculate velocities of solid phase and liquid phase was obtained through solution to general equations. The method is suitable for both viscous debris flow and thin debris flow. Additionally, velocities every phase can be identified through analyzing deposits in-situ after occurring of debris flow. It is obvious from engineering case the result in the method is consistent to that in real-time field observation.     

改进的 Morse 势和冲击压缩

用分子动力学方法模拟凝聚介质中一维分子链上的激波传播，以得到与冲击压缩实验相一致的结果。通过比较分子链上的孤立波解与激波的实验结果，提出对分子间Ｍｏｒｓｅ作用势进行与考虑量子效应相一致的修正，从而使分子动力学模拟得到的激波Ｕｓ－Ｕｐ关系与实验结果在波后粒子速度达到声速的范围内一致。     

1,10-邻菲咯啉取代苷脲及其一维Ag(Ⅰ)配位聚合物的合成及晶体结构

合成了1,10-邻菲咯啉取代苷脲(L),并用L与硝酸银反应得到一维配位聚合物[AgLNO3]n,利用X-射线衍射方法测定了它们的晶体结构。L:单斜晶系,空间群P21/c,a=1.8545nm,b=1.2504nm,c=1.2818nm,β=108.476°,V=2.8192nm3,Z=7,F(000)=1176,finalGOF=1.093,R1=0.060,wR2=0.1654,。[AgLNO3]n:正交晶系,空间群Pca21,a=1.55149nm,b=1.04907nm,c=1.15892nm,V=1.8863nm3,Z=4,F(000)=1024,finalGOF=1.038,R1=0.042,wR2=0.110。晶体结构表明配体L与Ag髣形成了一维配位聚合物[AgLNO3]n。     

利用小角/广角X射线散射联用及一维相关函数分析研究聚(ε-己内酯)片晶的形态

用小角/广角X射线散射(SAXS/WAXS)联用的实验方法考察了等温结晶温度(Tc)和等温时间对聚(ε-己内酯)(PCL)片晶形态的影响.根据WAXS数据计算了PCL的重量结晶度,进而求得其体积结晶度Vc(WAXS).在不同Tc下结晶的PCL样品的Vc(WAXS)均略高于50%.对SAXS谱线做一维相关函数(1DCF)分析,得到了PCL的片晶长周期(LP)和无定形层厚度(La).通过比较WAXS及SAXS的数据分析结果,认为PCL晶体需用"三相模型"予以描述,其过渡层厚度(E)约为LP的15%～18%,对片晶形态具有重要影响.随着Tc升高,PCL晶体的Lc、La及E均逐渐增大,但Lc的变化率最大,这使得结晶度上升.在50℃等温结晶不同时间,发现Lc随延长时间显著增加,而La及E则不断减小.等温10天后,PCL晶体的SAXS谱线上可观察到5级散射,表明片晶相当完善.     

掺杂对一维光子晶体带隙传输特性的影响

 基于传输矩阵法,数值研究了掺杂对一维光子晶体带隙特征的影响。研究表明：掺杂时,禁带中心会出现一导带,导带深度会随着掺杂位置、杂质折射率的变化而发生变化。当晶体结构给定时,总存在一个掺杂位置,使其禁带中心的导带深度达到最深;而对于给定的掺杂位置,当杂质折射率为某特定值时,禁带中心同样也会出现一个深度最深的导带,这种特性可应用于滤波器件和光学谐振腔的设计。