Regio- and stereoselective reactions of a rhodanine derivative with optically active 2-methyl- and 2-phenyloxirane

The reaction of a rhodanine derivative (=(Z)-5-benzylidene-3-phenyl-2-thioxo-1,3-thiazolidin-4-one; 1) with (S)-2-methyloxirane (2) in the presence of SiO₂ in dry CH₂Cl₂ for 10 days led to two diastereoisomeric spirocyclic 1,3-oxathiolanes 3 and 4 with the Me group at C(2) (Scheme 2). The analogous reaction of 1 with (R)-2-phenyloxirane (5) afforded also two diastereoisomeric spirocyclic 1,3-oxathiolanes 6 and 7 bearing the Ph group at C(3) (Scheme 3). The structures of 3, 4, 6, and 7 were confirmed by X-ray crystallography (Figs. 1 and 2). These results show that oxiranes react selectively with the thiocarbonyl group (CS) in 1. Furthermore, the nucleophilic attack of the thiocarbonyl S-atom at the SiO₂-activated oxirane ring proceeds with high regio- and stereoselectivity via an S_N2-type mechanism.     

Variational approximations for renormalization group transformations

Approximate recursion relations which give upper and lower bounds on the free energy are described. Optimal calculations of the free energy can then be obtained by treating parameters within the renormalization equations variationally. As an example, a particularly simple lower bound approximation which preserves the symmetry of the Hamiltonian (the one-hypercube approximation) is described. The approximation is applied to both the Ising model and the Wilson-Fisher model. At the fixed point a parameter is set variationally and critical indices are calculated. For the Ising model the agreement with the exact results atd = 2 is surprisingly good, 0.1%, and is good atd=3 and evend=4. For the Wilson-Fisher model the recursion relation is reduced to a one-dimensional integral equation which can be solved numerically givingv=0.652 atd=3, or by expansion in agreement with the results of Wilson and Fisher to leading order in . The method is also used to calculate thermodynamic functions for thed = 2 Ising model; excellent agreement with the Onsager solution is found.Supported in part by the National Science Foundation under Grants Nos. MPS73-04886A01 and GH-41512 and by the Brown University Materials Research Laboratory supported by the National Science Foundation. M.C.Y. was supported by a grant from the Scientific and Technical Research Council of Turkey.     

温州劳动密集型企业集群研究

企业集群是提升区域竞争力的重要因素.文章以浙江温州为研究对象,分析了温州劳动密集型企业集群的发展现状,对它进行了分类、说明了其形成基础和条件,并探讨了企业集群对温州经济的作用.     

Cook-Seiford函数的若干推广

用例子指出Cook-seiford函数所得的群排序的不唯一性，并利用计算机模拟实验说明这种情况出现的几率较大，提出Cook-Seiford函数的两种推广：加权的Cook-Seiford函数和基于Minkowski距离的Cook-Seiford函数；解决了Cook-Seiford函数结果不唯一的问题．推广的Cook-Seiford函数还可以用来进行多属性决策．     

Poisson流形上李代数与Poisson辛李群的讨论

文章给出了Poisson流形上李括号的一些结论,并在Poisson流形P1,P2上定义了C^∞（P1）＋C^∞（P2）的{,}运算,验证了C^∞（P1）＋C^∞（P2）构成李代数,其次简单讨论了Poisson辛李群.     

测试二元运算乘法表是否构成群表的算法设计

对计算机测试二元运算乘法表是否构成群表的算法进行研究 ,一个乘法表构成群表的充要条件是乘法表具有两个性质·在测试乘法表构成群表的第一性质中提出了直接逐行、逐列测试G中所有元素 ,按行、按列搜索相同元素及相异元素计数三种算法 ;在第二性质测试中 ,对搜索与单位元 1构成矩形的同行、同列元素中提出自然升序法、外推法及小段优先三种算法 ;在遍历整个二维乘法表判别矩形第 4顶点元素特性中 ,提出了单个矩形移动、按行(列 ) (n-1 )个矩形同时移动、(n -1 ) 2 个矩形同时移动及改进的单个矩形移动四种算法 ;讨论了主要算法的复杂性 ;用VisualC ++6.0实现了算法的程序设计 ;用所设计...     

萘的六氮取代衍生物电子结构和非线性光学性质

在量子化学半经验PM3方法优化几何结构的基础上，采用FF／PM3方法，讨论了萘的六氮取代物及其对位被推、拉电子基团取代衍生物电子结构和非线性光学性质的变化．用NDDO方法计算体系的电子光谱，探讨了分子电子结构对电子光谱及非线性光学性质影响的微观本质．     

面向多品种引信类产品的相似制造工程

详细论述了相似制造工程的含义,并指出了进行多品种引信类产品相似制造工程的重要性和必要性;在分析相似制造工程国内外发展现状的基础上,提出了多品种引信类产品相似制造工程的主要内容及其实现技术,给出了基于PDM的集成框架体系;对相似制造工程理论进行了初步探索,为相似制造工程的应用起到了一定的借鉴作用.     

重主族累积多烯分子中的非经典多重键

综述了重主族累积多烯化合物的最新研究进展和非经典多重键的理论研究方面的成果.使用abinitio和密度泛函法对磷杂硫烯酮、硅杂磷杂丙二烯及其相关分子进行了量子化学计算,计算结果表明,这些分子都具有弯曲几何构型.     

Na+和NH+4对电沉积W合金的影响

研究了以Na2WO4为W来源、以柠檬酸盐为络合剂的CoW、CoWPt合金电镀中,Na+和NH+4对镀层W含量的影响.结果表明:镀层W含量随着溶液中Na+浓度的升高而降低,随着NH+4浓度的升高而增高.