一点到一仿射集合投影的加权扰动分析

1引言设AEC“”,M和N分别为m和,;阶Hermite正定阵,则存在唯一的矩阵X6C”””满足AXA一A,XAX一X,（MAX）”一MAX,（NXA）”一NXA,（．1）其中B”为B的共轭转置阵．称满足（互．l）的X为A的加权M－P逆,记作X二A和．特别,当M—I。,N—I。时,A;一A”为矩阵的M－P逆．文献［3—5,11,13］讨论了一点到一仿射集合投影的挑动和加权扰动理论．文献［7,9,18」研究了极小N一范数、M一最小二乘解的扰动分析．本文推广了以上文献的主要结果．考虑如下问题「1,2〕：给定AE〔叩“”,bEC一和广EO,找一个向量X”E…     

2,5-二取代-1,3,4-噻二唑的合成及其生物活性研究

报道了一种合成2,5-二取代-1,3,4-噻二唑的有效方法。目标化合物经^1HNMR,IR和元素分析表征。生物活性试验表明某些化合物对小麦的生长具有促进作用。     

双(对-氨基苯基)-2,3,7,8,12,13,17,18-八甲基卟啉及其金属衍生物的合成与表征

从3-甲基-2,4-戊二酮出发,经多步反应合成了3,3′,4,4′-四-甲基-2,2′-二吡咯基甲烷(TMDPM),改进了合成TMDPM的脱羧反应.研究了TMDPM与对-硝基苯甲醛反应合成meso-5,15-双-苯基-卟啉反应,发现对-甲基苯磺酸是卟啉原合成的良好催化剂,2,3-二-氯-5,6二氰基-1,4-苯醌是将卟啉原转化为卟啉的良好氧化剂;硝基卟啉经SnCl₂还原成氨基卟啉后,用固-液抽提进行氨基卟啉的纯化,得到了5,15-双(对-硝基苯基)-2,3,7,8,12,13,17,18-八甲基卟啉、5,15-双(对-氨基苯基)-2,3,7,8,12,13,17,18-八甲基卟啉及其金属衍生物,并表征了其结构     

On the properties of electromagnetic waves propagating inside moving dielectric media

The properties of electromagnetic waves propagating inside isotropic or uniaxial dielectric media moving in an arbitrary direction are analysed. The scalar products of electromagnetic field vectors inside these moving media are investigated in the kEB system from Maxwell's equations and Lorentz-covariant constitutive relations. Several important equations are derived. They are useful in discussing problems such as the energy density and radiation pressure, which are of interest in theoretical studies and many application subjects.     

卷云短波红外辐射特性

 采用离散纵标法耦合大气分子吸收,模拟计算了卷云大气的反射特性。研究了在短波波段卷云辐射性质随波长、卷云光学厚度、卷云有效尺度、云高和卷云中冰晶粒子形状等的变化关系,分析了卷云对大气红外背景辐射的影响。结果表明：在2.7 μm的水汽强吸收带上,卷云的出现明显增强了该波段的大气背景辐射,反射率随光学厚度和云高增大而增大。     

Tolman length of simple droplet: Theoretical study and molecular dynamics simulation

In 1949, Tolman found the relation between the surface tension and Tolman length, which determines the dimensional effect of the surface tension. Tolman length is the difference between the equimolar surface and the surface of tension. In recent years, the magnitude, expression, and sign of the Tolman length remain an open question. An incompressible and homogeneous liquid droplet model is proposed and the approximate expression and sign for Tolman length are derived in this paper. We obtain the relation between Tolman length and the radius of the surface of tension(R_s) and found that they increase with the Rs decreasing. The Tolman length of plane surface tends to zero. Taking argon for example, molecular dynamics simulation is carried out by using the Lennard–Jones(LJ) potential between atoms at a temperature of 90 K. Five simulated systems are used, with numbers of argon atoms being 10140, 10935, 11760, 13500, and 15360, respectively. By methods of theoretical study and molecular dynamics simulation, we find that the calculated value of Tolman length is more than zero, and it decreases as the size is increased among the whole size range. The value of surface tension increases with the radius of the surface of tension increasing, which is consistent with Tolman’s theory. These conclusions are significant for studying the size dependence of the surface tension.     

氮自由基启动的1,n-烯炔环化反应

C-N键广泛存在于药物、天然产物和功能材料中,而氮中心自由基在C-N键的构建中起到关键作用.但是,与广泛使用的碳中心自由基相比,氮中心自由基由于缺乏实用简便的产生方法而尚未得到充分研究.因此,发展高效的氮中心自由基引发反应迫在眉睫.在过去的几年里,得益于可信赖且可控制的自由基化学的兴起,可以通过热分解、氧化剂促进、金属...     

密度泛函理论方法研究填料表面对聚合物摩擦化学的影响

采用超声分散法制备出氧化铝、高岭土、氧化硅/聚四氟乙烯复合材料, 使用线性往复摩擦磨损试验机对比三种复合材料的摩擦学性能. 结果表明 质量分数10%的氧化铝、高岭土能将聚四氟乙烯的磨损率降低约4个数量级, 而氧化硅仅能降低约3个数量级. 对金属对偶表面形成的转移膜的形貌和化学成分进行分析发现 氧化铝、高岭土/聚四氟乙烯在金属对偶面上形成了高度羧酸盐化的转移膜. 用密度泛函理论对三种填料表面上碳氟分子吸附过程进行模拟, 结果显示氧化铝、高岭土表面的路易斯酸性位点促进了碳氟分子的脱氟过程, 产生了更多的羧酸螯合物的中间产物; 氧化硅缺少路易斯酸性位点, 因此不能促进高度羧酸盐化的转移膜形成.     

用序列二次规划法设计ICF 靶区光路

 运用序列二次规划法设计了靶区光路。由ICF 柱面靶间接驱动实验对多路激光束排布的要求, 建立靶区数学模型, 用本文设计结果构筑光路排布线框实体。该三维线框以特征线代表60路激光驱动光束实体, 以特征线段的转折点代表240面反射镜的空间位置。     

空位缺陷对碳纳米管/石墨烯纳米带导热的影响

本文利用分子动力学方法研究空位缺陷对碳纳米管和石墨烯纳米带导热特性的影响,并分析声子态密度、声子模式参与率探究导热机理。研究表明:空位缺陷引起碳管和纳米带热导率降低,在200～600 K的温度范围内,碳管和纳米带热导率的下降幅度分别可达47.57%、38.84%.碳管和纳米带热导率的降低归因于声子态密度衰减且声子模式参与率较小.由于边界散射作用削弱了缺陷对纳米带热导率的影响,纳米带热导率的降低幅度低于碳管.