In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of...In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G＇ as a modular Frobenius kernel has no more than four conjugacy classes in G.展开更多
以3,4-噻吩二甲酸和五氟苯胺为起始原料,经酰化、缩合和NBS溴代反应制得2,5-二溴-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(2);2经两步反应制得2-溴-2,5-二噻吩-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(4);以苯并二噻吩衍生物(BDT1和BDT2)为给...以3,4-噻吩二甲酸和五氟苯胺为起始原料,经酰化、缩合和NBS溴代反应制得2,5-二溴-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(2);2经两步反应制得2-溴-2,5-二噻吩-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(4);以苯并二噻吩衍生物(BDT1和BDT2)为给体单元,2或4为受体单元,分别经Stille偶联缩聚反应合成了3个含五氟苯的噻吩并吡咯二酮-苯并二噻吩共轭共聚物(5a^5c),其结构和性能经1H NMR,13C NMR,UV-Vis,TGA和循环伏安法表征。结果表明:5a,5b和5c的最大吸收峰分别位于559 nm,559 nm和547 nm,光学带隙分别为1.70 e V,1.73 e V,1.68 e V(薄膜)和1.84 e V,1.83 e V,1.81 e V(甲苯);失重5%的温度为307~325℃;5a^5c的起始氧化电位和起始还原电位分别为1.14 V,1.18 V,1.03 V和-0.67 V,-0.67 V,-0.70 V;HOMO和LUMO能级分别为-5.54 e V,-5.58 e V,-5.43 e V和-3.73 e V,-3.73 e V,-3.70 e V。展开更多
The stationary and nonstationary rotating Navier-Stokes equations with mixed boundary conditions are investigated in this paper. The existence and uniqueness of the solutions are obtained by the Galerkin approximation...The stationary and nonstationary rotating Navier-Stokes equations with mixed boundary conditions are investigated in this paper. The existence and uniqueness of the solutions are obtained by the Galerkin approximation method. Next, θ-scheme of operator splitting algorithm is applied to rotating Navier-Stokes equations and two subproblems are derived. Finally, the computational algorithms for these subproblems are provided.展开更多
基金Supported by the National Natural Science Foundation of China (11171243, 11201385)the Technology Project of Department of Education of Fujian Province(JA12336)+1 种基金the Fundamental Research Funds for the Central Universities (2010121003)the Science and the Natural Science Foundation of Fujian Province (2011J01022)
文摘In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G＇ as a modular Frobenius kernel has no more than four conjugacy classes in G.
文摘以3,4-噻吩二甲酸和五氟苯胺为起始原料,经酰化、缩合和NBS溴代反应制得2,5-二溴-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(2);2经两步反应制得2-溴-2,5-二噻吩-5-五氟苯基噻吩[3,4-c]吡咯-4,6-二酮(4);以苯并二噻吩衍生物(BDT1和BDT2)为给体单元,2或4为受体单元,分别经Stille偶联缩聚反应合成了3个含五氟苯的噻吩并吡咯二酮-苯并二噻吩共轭共聚物(5a^5c),其结构和性能经1H NMR,13C NMR,UV-Vis,TGA和循环伏安法表征。结果表明:5a,5b和5c的最大吸收峰分别位于559 nm,559 nm和547 nm,光学带隙分别为1.70 e V,1.73 e V,1.68 e V(薄膜)和1.84 e V,1.83 e V,1.81 e V(甲苯);失重5%的温度为307~325℃;5a^5c的起始氧化电位和起始还原电位分别为1.14 V,1.18 V,1.03 V和-0.67 V,-0.67 V,-0.70 V;HOMO和LUMO能级分别为-5.54 e V,-5.58 e V,-5.43 e V和-3.73 e V,-3.73 e V,-3.70 e V。
基金the National Nature Science Foundation of China (Grants No.50306019,No.10571142,No.10471110 and No.10471109)
文摘The stationary and nonstationary rotating Navier-Stokes equations with mixed boundary conditions are investigated in this paper. The existence and uniqueness of the solutions are obtained by the Galerkin approximation method. Next, θ-scheme of operator splitting algorithm is applied to rotating Navier-Stokes equations and two subproblems are derived. Finally, the computational algorithms for these subproblems are provided.
