卟啉敏化的钛酸盐纳米管的可见光催化活性

制备了四碘化5,10,15,20-四(对-N,N,N三甲基苯胺基)卟啉敏化的钛酸盐纳米管(TAPPI-TNTs),并利用甲基橙(MO)作为模型污染物考察了其可见光催化活性。结果表明,TAPPI-TNTs是一个高效的可见光催化剂,在其催化作用下,可见光照射1 h后,甲基橙的降解率为89%。与此相反,纯钛酸盐纳米管并不具有可见光催化活性。此外,TAPPI-TNTs的稳定性较高,可以多次循环使用,在第五次循环中,甲基橙的降解率仍可达到50%以上。这可能是由于带正电荷的卟啉与带负电荷的钛酸盐纳米管之间存在着较强的静电吸引作用,卟啉紧密地吸附在钛酸盐纳米管上,导致卟啉的光激发电子易于向钛酸盐纳米管转移,从而使钛酸盐纳米管得到了有效敏化。     

随机Gilpin-Ayala互惠模型研究

采用M-矩阵及Liapunov函数等方法,研究了随机Gilpin-Ayala互惠模型解的稳定性,并给出若干随机Gilpin-Ayala互惠模型的正平衡解稳定的充分条件.同时修正了文献-《Stability of Stochastic Gilpin-Ayala competition Models》的若干错误.     

Theoretical Study on Cooperativity Effects between Anion–π and Halogen‐Bonding Interactions

This article analyzes the interplay between lone pair–π (lp–π) or anion–π interactions and halogen‐bonding interactions. Interesting cooperativity effects are observed when lp/anion–π and halogen‐bonding interactions coexist in the same complex, and they are found even in systems in which the distance between the anion and halogen‐bond donor molecule is longer than 9 Å. These effects are studied theoretically in terms of energetic and geometric features of the complexes, which are computed by ab initio methods. Bader′s theory of “atoms in molecules” is used to characterize the interactions and to analyze their strengthening or weakening depending upon the variation of charge density at critical points. The physical nature of the interactions and cooperativity effects are studied by means of molecular interaction potential with polarization partition scheme. By taking advantage of all aforementioned computational methods, the present study examines how these interactions mutually influence each other. Additionally, experimental evidence for such interactions is obtained from the Cambridge Structural Database (CSD).     

考虑联盟结构的联合采购合作剩余分配博弈分析

联合采购合作剩余分配本质是在最大联盟剩余值与最小期望分配值之间的谈判协商过程。当前联合采购合作剩余分配研究主要基于参与企业地位无差别假设,忽略了联盟结构对剩余分配具有明显影响。基于联盟形成的层次结构,研究论证了采购企业通过组建小联盟形式参与更大联盟的联合采购,可提升其在分配谈判中的话语权。通过算例分析表明,考虑联盟结构的联合采购合作剩余分配相对于不考虑联盟结构得到的分配方案更具公平性和合理性。     

ON EQUILIBRIA AND PERIODIC ORBITS OF COOPERATIVE SYSTEMS IN R~3

In the paper we present new criteria for existence of equilibria and periodic orbits for 3-dimensional systems which are cooperative. Particular attention is given to the relations of equilibria, cycle K and stable manifold of K. Meanwhile, the results of Hirsch [1, Theorem 9] and Jiang [2] are improved.     

模糊合作博弈局中人参与水平间相互作用度量

本文基于经典合作博弈局中人间相互作用现象的有关度量方法,针对具有模糊联盟的合作博弈问题,给出了模糊联盟中各局中人参与水平间相互作用的度量方法,定义了水平间相互独立性概念,建立了反映局中人各参与水平间相互作用平均程度的两指标:Shapley相互作用指标及Banzhaf相互作用指标.同时对于具有k-单调性的模糊合作博弈局中人参与水平间的边缘相互作用的有关性质作了进一步研究,得出了一些新的结论.     

新型感可见光的光引发体系乙基曙红碘■盐的研究

合成并研究了新型感可见光的光引发体系乙基曙红碘盐。结果表明，该引发剂的物理化学性质和光敏引发效率受其结构、介质性质和浓度等诸多因素影响。在可见光照射下，发生由乙基曙红阴离子向二苯基碘阳离子的电子转移反应，产生具有引发活性的苯自由基和非活性的乙基曙红自由基。测定了光聚合的动力学方程以及聚合物的分子量和分子量分布。比较了曙红单碘盐和双碘盐的各种不同性质     

Theτ-value for games on matroids

In the classical model of games with transferable utility one assumes that each subgroup of players can form and cooperate to obtain its value. However, we can think that in some situations this assumption is not realistic, that is, not all coalitions are feasible. This suggests that it is necessary to raise the whole question of generalizing the concept of transferable utility game, and therefore to introduce new solution concepts. In this paper we define games on matroids and extend theτ-value as a compromise value for these games. This work has been partially supported by the Spanish Ministery of Science and Technology under grant SEC2000-1243.