有趣的数字

自从有了人类,就有了数数和记数的需求,于是就产生了数字。数字就是用来记数的符号。罗马数字是罗马人创造的。中国数字是中国人创造的。但是,阿拉伯数字不是阿拉伯人创造的,而是印度人创造的,现在已经成为世界各国的通用数字。 数学是研究数量关系和空间形式的一门学问。它具有基础和工具的作用,被誉为“科学大门的钥匙”和     

Growth of NaBi（WO4）2 Dendrite and Mechanism

The solid-liquid interface motion of NaBi（WO4）2 （NBWO） melt crystal growth is observed in an in situ system, in which the whole processes of interface transition from fiat interface and cellular to dendrite are visualized. The spacing of the dendrite under smaller temperature gradient turns out to be larger than that under larger temperature gradient, which is found to be sensitive to the temperature distribution. The mechanism of dendrite growth of NBWO is studied based on the model of the growth units of anion coordination polyhedra. The { 001} face has two apex links, so it shows higher stability and has high growth rate and forms the arm of dendrite, whereas the {010} face has only one apex link, and thus shows relative slower growth rate and firstly forms the branches.     

In Situ Observation of Skeletal Shape Transition during BaB2O4 Crystal Growth in High-Temperature Solution

The transition from a fiat solid-liquid interface to a skeletal shape during BaB2O4 （BBO） single crystal growth in Li2B4O7 flux is observed in real time by an optical high-temperature in-situ observation system. The movement of crystal step is also investigated. The observation results demonstrate that the steps propagate along and parallel to the fiat interface when the crystal size is small. Nevertheless, they will ‘bend＇ close to the face centre if the crystal size becomes greater. Atomic force microscopy reveals that more deposition places near the face centre give rise to the bending of advancing steps and thus the formation of a vicinal interface structure. Measurements of step velocity show that the velocity keeps nearly constant at different moments for one specific step, whereas the step on a newly formed layer advanced faster than that on a previously formed one when the crystal size is larger than 210μm or so. Thus interracial morphological instability occurs and a skeletal interface is obtained.     

自由基引发马来酸二丁酯熔融接枝低密度聚乙烯的研究

用马来酸二丁酯(DBM)为接枝单体,过氧化二枯基(DCPO)为引发剂,对低密度聚乙烯(LDPE)进行了熔融接枝功能化。样品的红外光谱表明接枝反应确已发生。通过对样品中酯基的皂化水解测定产物的接枝率,对产物进行萃取,用凝胶量间接表征产物的交联程度;用溶液的特性粘度从侧面显示样品的支化或降解情况。实验结果表明,产物的接枝率和凝胶量可以通过选择反应条件(温度、时间及反应混合物的组成)来控制;过量的DCPO是引起交联产生凝胶的主要原因;向体系中添加DMF可阻止交联反应的发生,但产物的接枝率也有所下降,以自由基机理对上述结果进行了讨论。     

密度泛函理论研究DMSO溶剂中邻-二(吡咯-2-甲酰胺基)亚苯与卤素阴离子间的超分子作用

采用混合密度泛函B3LYP方法, 在LANL2DZ水平上优化DMSO溶剂中邻-二(吡咯-2-甲酰胺基)亚苯(PFP)及其卤素阴离子复合物的几何构型, 从几何结构参数、电荷布居、前线轨道、结合能以及热力学参数等角度探讨复合物形成过程中主体分子的构象变化以及主客体间的超分子作用. 研究结果表明, 邻-二(吡咯-2-甲酰胺基)亚苯识别卤素阴离子是一个自发过程. 复合阴离子过程中, 两者的前线轨道发生作用, 电子容易从卤素阴离子的HOMO向主体分子的LUMO转移. 在所形成的四种复合物PFP:X^－(X^－＝F^－, Cl^－, Br^－, I^－)中, 以PFP:F^－最稳定, 与文献报道邻-二(吡咯-2-甲酰胺基)亚苯识别卤素阴离子能力的实验结果相一致. 设计合成含多个吡咯酰胺基团、并能形成合适“杯口”大小的主体化合物, 将增强对卤素阴离子的识别能力.     

聚合物介质中盐离解行为的温度依赖性研究

<正> 近十年来尽管聚合物-盐复合物作为潜在的理想电解质材料已得到广泛研究,人们对于在象聚合物这样的高粘度介质中盐的离解行为仍缺乏了解。特别是关于盐离解度的温度依赖性,不同的作者对相似的体系曾得出截然相反的结论。最近,Angell和许康等相继通过不同研究途径证实了在上述介质中盐离解产生的自由离子数n随温度上升而下降,其趋势可由Arrhenius公式表示: