Dissociative Chemisorption of an H2（v,j） Molecule on Rigid Ni （100） Surface： Dependence on Surface Topologies and Initial Rovibrational States of the Molecules

The H2(v,j) Ni(100) collision system has been studied to understand the effects of the surface sites and initial rovibrational states of the molecule on molecule-surface interactions, by a quasiclassical molecular dynamic simulation method. Dissociative adsorption of an H2 molecule on the rigid Ni(100) surface is investigated at topologically different three sites of the surface. Interaction between the molecule and Ni surface was described by a London-Eyring-Polani-Sato (LEPS) potential. Dissociative chemisorption probabilities of the H2(v, j) molecule on various sites of the surface are presented as a function of the translation energies between 0.001-1.0eV. The probabilities obtained at each collision site have unique behaviour. At lower collision energies, indirect processes enhance the reactivity, effects of the rotational excitations and impact sites on the reactivity are more pronounced. The results are compared with the available studies. The physical mechanisms underlying the results and quantum effects are discussed.     

A Fixed Point Theorem for Multi—valued Composite Increasing Operators

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李群,拓扑与微分几何

该文介绍严志达院士的若干工作，以庆贺他的八十寿辰．     

关于三商映射

三商映射是完备映射和开映射的共同推广。本文综述三商映射的理论，论术这三商映射，开映射，紧覆盖映射，诱导完备映之间的一些转换关系，提出了几个供进一步研究的问题。     

THE EXISTENCE THEOREM OF THE CONE-WEAK SUBDIFFERENTIAL OF SET-VALUED MAPPING

In this paper, the existence theorem of the cone-weak subdiflerential of set-valued mapping in locally convex topological vector space is proved.     

有序拓扑向量空间中有效点的存在性定理

1980年,H.W.Cordy引进K-半紧概念,深入地讨论了Banach空间中有效点的存在性.本文将K-半紧性推广到K-仿紧性,从而在较弱条件下获得一般有序拓扑向量空间中的有效点存在性定理.     

树映射的分布混沌

设T是个有限树,f是T上的连续映射.证明了f是分布混沌的当且仅当它的拓扑熵是正数.一些已知结论得到了改进.     

区间数互补判断矩阵的拓扑排序方法

提出了方案之间进行比较时优于与劣于的定义,通过构造与区间数互补判断矩阵相对应的有向图的方法,将互补判断矩阵的排序问题转化为有向图中顶点的拓扑排序问题,将有向图中的顶点按照备选方案的重要性顺序输出,得到的顶点的序列即为备选方案的重要性排序,数值计算实例验证了该方法的有效性与可行性。     

关于Lowen空间指数对象的一点注记

L-拓扑空间(X,△)称为一Lowen空间若△有一组由层特征函数构成的基,即△中形如a∧U,a∈L,U∈X的元素构成△的一组基.若L=[0,1],则(X,△)是一Lowen空间当且仅当(X,△)是一Lowen意义下的fzzy邻域空间.通过在函数空间上引入适当的L-拓扑结构,证明了若0∈L是一素元并且Lowen空间(X,△)的开集格是一连续格,则(X,△)是Lowen空间范畴中一指数对象.特别地,若一fuzzy邻域空间的开集格连续,则它是FNS中一指数对象.     

低复杂度序列的维数

本文研究符号空间中由零拓扑熵序列组成的集合.通过构造适当的自相似集,证明了该集合的盒维数为1,而Hausdorff维数为0.