不饱和酮亚胺叶立德的分子内共轭加成

对不饱和酮亚胺叶立德的分子内共轭加成进行了考察.以67%~99%的产率以及20∶1的非对映选择性得到相应的高度官能团化的3,4-二氢-2H-吡咯衍生物.     

φ-free n-Lie代数的判定

对φ-free n-Lie代数的判别条件作了探讨,得到了由n-Lie代数的幂零根基表示的充要条件,并对φ-free n-Lie代数的性质作了研究.     

3-LIE BIALGEBRAS

3-Lie algebras have close relationships with many important fields in mathemat- ics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensional 3-Lie coalgebras and 3-dimensional 3-Lie bialgebras over an algebraically closed field of char- acteristic zero are provided.     

(n-1)-半单的n-李代数的几何描述

证明了实数域上(n-1)-半单的(n+1)维n-李代数A是n维欧氏空间的Lorentz群O(p,n-p)与n维Abel正规子群的半直积的n-李代数.且当p=0时,A是n维欧氏空间的等距变换群的n-李代数.并提出了关于(n-1)-半单的(n+1)维n-李代数的外导子的物理应用与几何应用问题.     

φ-自由n-李代数的结构

对φ-自由n-李代数的结构进行了研究,得到了特征零域上φ-自由伽李代数的分类定理及Levi 分解定理,同时也得到了任意域上n-李代数可解的等价条件.     

Chemical composition of the lunar surface from neutron leakage fluxes

The neutron leakage fluxes from the lunar surface are calculated by Monte Carlo transport code based on Geant4. The integral fluxes of fast neutrons, epi-thermal neutrons and thermal neutrons are analyzed. Numerical results for 20 kinds of lunar soils and 7 minerals show that the fast neutron fluxes are linearly related to the average atomic mass numbers of the lunar materials used in simulations. Meanwhile, the average atomic mass numbers are strongly modulated by the abundances of iron (Fe) and titanium (Ti), and a linear relationship between the average atomic mass numbers and the abundances of Fe and Ti is found. Furthermore, the results show that the ratios of epi-thermal to thermal fluxes for lunar soils are linearly related to the macroscopic absorption cross sections of lunar materials, and that the macroscopic absorption cross sections monotonically increase with the abundances of Fe and Ti by a simple function. Then we reach the conclusion that the neutron fluxes can provide the information about the Fe and Ti contents.     

铌酸催化剂的结构和酸性催化性质

研究了铌酸催化剂的制备方法、表面酸性及晶体结构对乙醇和乙酸酯化反应的影响。结果表明，热处理温度对水洗法制备的铌酸催化剂的催化性能有显著的影响，经３５０℃热处理后其达到活性极大值。并发现催化性能受热处理温度影响的原因是铌酸结构中含水量及比表面积随热处理温度变化而导致铌酸表面酸性的变化，而与氧化铌的形态和晶体结构无明显关系。