一类单调斜积半流的ω-极限集的提升动力学行为

本文研究了一类具有极小基流的单调斜积半流.在假定半流存在-个半连续的半平衡的前提下,我们证明了具有某种一致稳定性的正半轨线的ω极限集具有1-covering性质,这为理解系统的全局动力学提供了几何洞察.     

解斜三角形

1．本单元知识的重点、难点分析 本单元的重点是正弦定理和余弦定理,这两个定理将三角形的边、角关系以公式的形式给出来了,应注意公式的推导、理解、变形形式与灵活应用,能够运用解斜三角形知识求解实际应用问题．本单元的难点是灵活运用正弦定理、余弦定理解斜三角形．学习本单元知识时,必须掌握好解斜三角形的基本思想方法,注意数形结合,灵活运用正弦定理和余弦定理,实现三角形的边、角关系的相互转化,从而实现问题的解决．     

Synthesis and Crystal Structure of 3-Benzyl-6-trichloromethyl-[1,2,4]triazolo[3,4-b][1,3,4]thiadiazole

The title compound 3-benzyl-6-trichloromethyl-[1,2,4]triazolo[3,4-b][1,3,4]thiadiazole I （C11HTC13N4S, Mr = 333.62） has been synthesized, and its structure was determined by elemental analyses, IR, ^1H NMR, ^13C NMR, and X-ray diffractions. The crystal is of triclinic, space group P1^-, with a = 5.898（3）, b = 10.510（4）, c = 11.580（5） A, α = 74.936（7）, β= 75.476（7）, γ = 79.647（7）°, V= 665.9（5）/A^3, F（000） = 336, Z= 2, Dc = 1.664 g/cm^3, 2 = 0.71073A, p = 0.834 mm^-1, the final R = 0.0605 and wR = 0.0900. The secondary bonding interactions （SBIs） S…N and π-π stacking interactions are found in the crystal structure and they link the molecules into a three-dimensional network.     

Synthesis and Crystal Structure of （Z）-1- （3-Fluorobenzyl）-5-（（3-fluorobenzylimino）（2-hydroxy-4-methoxyphenyl）methyl）pyridin-2（1H）-one

The title compound （Z）-1-（3-fluorobenzyl）-5-（（3-fluorobenzylimino）（2-hydroxy-4- methoxyphenyl）methyl）pyridin-2（1H）-one （C27H22F2N2O3,Mr = 460.47） was synthesized and crystallized. The crystal belongs to the triclinic system,space group P1 with a = 9.951（6）,b = 10.059（6）,c = 12.927（7）A,α = 109.828（7）,β = 102.304（7）,γ = 104.898（7）°,Z = 2,V = 1110.2（11）A^3,Dc =1.377 Mg/m^3,μ（MoKα） = 0.102 mm^-1,F（000） = 480,the final R = 0.0449 and Rw = 0.1250 for 4595 observed reflections （I 〉 2σ（I））. X-ray analysis reveals that both m-fluorobenzyl groups are diorientationally disordered because of the rotation of C–C single bond which was represented as F（1）,F（2） and F（1＇）,F（2＇）. The diorientational disorder was refined and gave the occupancies of 0.665（4） and 0.335（4） for F（1） and F（1＇）,0.631（3） and 0.369（3） for F（2） and F（2＇）. Hydrogen bonds existing in the cell link different components to stabilize the crystal structure. The active data proved that the title compound has good anti-HBV activity.     

Synthesis and Structural Characterization of an Arene-ruthenium Complex [（η^6-p-cymene）Ru（μ-N3） （N3）]2

An arene-ruthenium dimeric complex, [（η^6-p-cymene）Ru（μ-N3）（N3）]2 1, was synthesized from the reaction of [（η^6-p-cymene）Ru（μ-Cl）（Cl）]2 with an excess NaN3 and charac- terized by single-crystal X-ray diffraction. It crystallizes in triclinic, space group P1^- with a = 8.2321（8）, b = 8.2155（8）, c = 9.9976（11）A, α= 81.786（5）, β= 82.906（5）, γ= 77.134（5）°, V= 649.46（11）A^3, Z= 1, Mr = 638.68, Dc = 1.633 g/cm3,/t（MoKα） = 1.195 mm^-1, F（000） = 320, S = 0.974, the fmal R = 0.0282 and wR = 0.0644 for 2363 observed reflections with I 〉 2σ（I） and 157 variables. The neutral molecule is dimeric with two azide ligands bridging two ruthenium atoms to adopt an octahedral coordination geometry. The average Ru-Nt （terminal） and Ru-Nb （bridge） bond lengths are 2.092（3） and 2.147（2）A, respectively.     

Mo_8~ⅤW_2~ⅥO_(26)(C_5H_5N)_8·2H_2O: A Novel Mixed-valence Heterometal Polyoxometalate

A new mixed-valence heterometal cluster Mo8VW2VIO26(C5H5N)8·2H2O has been synthesized under solvothermal conditions and characterized by X-ray single-crystal diffraction, IR, UV-vis and XPS spectroscopy. The title compound crystallizes in the triclinic system, space group P1 with a = 11.708(3), b = 12.018(4), c = 13.316(4) , a = 112.184(4), β = 97.844(4), r = 110.043(3)o, V = 1551.9(8) 3 and Z = 1 at 293(2) K. The final full-matrix least-squares refinement converged to R = 0.0414 for 4460 observed unique reflections with I 2σ(I) and w R = 0.1290 for all data(5352) and S = 1.015. In addition, its thermal stability and fluorescent property have also been investigated.     

叶绿素荧光技术对受Cu~(2+)胁迫藻类暗适应时间的研究

利用叶绿素荧光技术,对受相同浓度Cu2+胁迫的蛋白核小球藻、斜生栅藻、铜绿微囊藻的最佳暗适应时间进行研究.通过对三种供试藻在光照和暗适应时间分别为30s、1min、3min、5min、10min和20min条件下的光合荧光参量进行测定,以光化学淬灭参量值为主要参考依据,结合t检验方法对暗适应时间进行显著性差异分析,结果表明:暗适应条件下三种供试藻的潜在最大量子效率值略有增加,实际量子效率值基本保持不变;蛋白核小球藻和斜生栅藻的光化学淬灭参量值和非光化学淬灭参量值随暗适应时间的延长显著增加;铜绿微囊藻光化学淬灭参量值在光照1min时达到最大,无需进行暗适应,这可能与蓝藻在暗适应时发生状态转换有关;藻类不是暗适应时间越长越好,蛋白核小球藻和斜生栅藻的最佳暗适应时间分别为5min和10min.这将为采用叶绿素荧光技术进一步研究毒物对藻类的胁迫机理提供可靠依据.     

光锥角对窄带滤光片透射率的影响及补偿方法

全介质膜窄带滤光片因具有优良的光学性能、较强的工艺性和空间环境适应性被广泛应用于空间多光谱遥感仪器中,但锥光束入射导致的中心波长漂移问题严重影响此类窄带滤光片的光谱选择性能。为了研究光锥角对窄带滤光片透射率特性的影响,设计了非规整型全介质膜窄带滤光片,分析了高斯光束倾斜入射窄带滤光片导致透射率的变化,建立了非均匀照度下锥光束正入射时窄带滤光片等效透射率的求解模型,定量求解了等效透射率及中心波长漂移量,并对理论模型进行了实验验证。结果表明,锥光束正入射对窄带滤光片透射率的影响主要表现为中心波长的蓝移;在镀膜工艺相对稳定的基础上,理论模型的等效透射率预测精度优于中心波长的0.15%。所以,可以使用等效透射率求解模型定量计算锥光束正入射导致窄带滤光片透射率的变化,并利用中心波长漂移量修正后的设计数据指导滤光片镀膜,进而实现窄带滤光片的高精度光谱选择,这为解决介质膜窄带滤光片因锥光束入射导致的中心波长漂移问题提供了新的技术途径。     

Phase transition and thermal expansion property of Cr_(2-x)Zr_(0.5x)Mg_(0.5x)Mo_3O_(12) solid solution

Compounds with the formula Cr2-xZr0.5xMg0.5xMo3O12（x = 0.0, 0.3, 0.5, 0.9, 1.3, 1.5, 1.7, 1.9） are synthesized, and the effects of Zr4＋ and Mg2＋ co-incorporation on the phase transition, thermal expansion, and Raman mode are investigated. It is found that Cr2-xZr0.5xMg0.5xMo3O12 crystallize into monoclinic structures for x 〈 1.3 and orthorhombic structures for x _〉 1.5 at room temperature. The phase transition temperature from a monoclinic to an orthorhombic structure of Cr2Mo3O12 can be reduced by the partial substitution of （ZrMg）6＋ for Cr3＋. The overall linear thermal expansion coefficient decreases with the increase of the （ZrMg）6＋ content in an orthorhombic structure sample. The co-incorporation of Zr4＋ and Mg2＋ in the lattice results in the occurrence of new Raman modes and the hardening of the symmetric vibrational modes, which are attributed to the MoO4 tetrahedra sharing comers with ZrO6/MgO6 octahedra and to the strengthening of Mo-O bonds due to less electronegativities of Zr4＋ and Mg2＋ than Cr3＋, respectively.     

Segregation of alloying atoms at a tilt symmetric grain boundary in tungsten and their strengthening and embrittling effects

We investigate the segregation behavior of alloying atoms （Sr, Th, In, Cd, Ag, Sc, Au, Zn, Cu, Mn, Cr, and Ti） near Z3 （ 111 ） [1]-0] tilt symmetric grain boundary （GB） in tungsten and their effects on the intergranular embrittlement by performing first-principles calculations. The calculated segregation energies suggest that Ag, Au, Cd, In, Sc, Sr, Th, and Ti prefer to occupy the site in the mirror plane of the GB, while Cu, Cr, Mn, and Zn intend to locate at the first layer nearby the GB core. The calculated strengthening energies predict Sr, Th, In, Cd, Ag, Sc, Au, Ti, and Zn act as embrittlers while Cu, Cr, and Mn act as cohesion enhancers. The correlation of the alloying atom＇s metal radius with strengthening energy is strong enough to predict the strengthening and embrittling behavior of alloying atoms; that is, the alloying atom with larger metal radius than W acts as an embrittler and the one with smaller metal radius acts as a cohesion enhancer.