n元等比级数

定义了n元等比数列、n元等比级数,给出了它们的通项公式及前n项和.并解决了多元等比级数的敛散性问题,求出了多元等比级数的和.指出了多元等比数列及多元等比级数在特殊情况下与一元等比数列及一元等比级数的一致性.     

Design of Two-Dimensional Photonic Crystal Edge Emitting Laser for Photonic Integrated Circuits

An edge emitting laser based on two-dimensional photonic crystal slabs is proposed. The device consists of a square lattice microcavity, which is composed of two structures with the same period but different radius of air-holes, and a waveguide. In the cavity, laser resonance in the inner structure benefits from not only the anomalous dispersion characteristic of the first band-edge at the M point in the first Brillouin-zone but also zero photon states in the outer structure. A line defect waveguide is introduced in the outer structure for extracting photons from the inner cavity. Three-dimensional finite-difference time-domain simulations apparently show the in-plane laser output from the waveguide. The microcavity has an effective mode volume of about 3.2（λ/nslab）^3 for oscillation mode and the quality factor of the device including line defect waveguide is estimated to be as high as 1300.     

Non-Achievability of Metal-Insulator Transition in Two-Dimensional Systems

We present a simple demonstration of the nonfeasibility of metal-insulator transition in an exactly two-dimensional （2D） system. The Hartree-Fock potential in the 3D system is suitably modified and presented for the 2D case. The many body effects are included in the screening function, and binding energies of a donor are obtained as a function of impurity concentration so as to find out the possible way leading metal-insulator transition in the 2D system. While solving for the binding energy for a shallow donor in an isolated well of a GaAs/Ga1-x Als As superlattice system within the effective mass approximation, it leads to unphysical results for higher concentrations. It shows that the phase transition, the bound electron entering into the conduction band whereby （H）min=0, is not possible beyond this concentration. The results suggest thai a phase transition is impossible in 213 systems, supporting the scaling theory of localization. The results are compared with the existing data available and discussed in the light of existing literature.     

无限深球方势阱中粒子能级的一个简单近似解析式

本由ＷＫＢ方法和玻尔－索末菲量子化规则，求出了无限深球方势阱中粒子能级近似满足的超越方程；然后通过进一步近似，找到了粒子能级近似满足的解析式并对所得结果的精度进行了计算机分析。     

无穷维线性空间中的非游荡算子

本文研究无穷维线性空间一类具有混沌特性的线性算子；非游荡算子。这是无穷维线性混沌系统中一类有广泛意义的算子，同时本文给出了非游荡算子紧集上的超循环分解。     

胃泌素有关肽溶液构象的2D-NMR研究

用2D NMR深入研究了五肽、四肽胃泌素在 DMSO 中的构象。利用 COSY 谱、Relayed-COSY 谱、DQF-J 分解谱和 NOESY 谱归属了全部共振峰。计算了肽键平面的Φ角、旋转异构体分布和旋转异构体之间自由能差。根据 NOESY 谱得到了距离约束条件。结合Φ角及旋转异构体分布, 推导出五肽胃泌素分子的构象膜型。结果表明, 五肽、四肽胃泌素在 DMSO 中以半角构象存在, 在其主要的旋转异构体中 Trp 的吲哚环和 Met 的 S 原子具有类似5,1-benzothiazocine 三维结构, 可能是具有生物活性的原因。     

贵州冬凌草的对映－贝壳杉烷二萜化合物

从贵州产冬凌草[Isodon rubescens (Hemsl.) Hera]中分离得到12个6，7－断 裂－7，20－内酯－对映－贝壳杉烷二萜化合物，经波谱分析鉴定了它们的结构， 其中有7个新化合物，分别命名为贵州冬凌草乙素～辛素（guidongnins B～H, 1～ 7)，以及卢氏冬凌草甲素（8）、卢氏冬凌草乙素（9）、贵州冬凌草素（10）、狭 叶香茶菜素(angustifolin, 11)和6－表香茶菜素（6-epiangustifolin, 12)等5个 已知化合物。另外，将作者原命名的贵州冬凌草素（guidongnin, 10）更名为贵州 冬凌草甲素(guidongnin A, 10)，并利用二维核磁区振波谱技术修订了卢氏冬凌草 乙素的结构。     

ZnO超微粒子光催化氧化降解n-C7H16的研究

利用ZnO光催化氧化技术对气相n-C7H16进行了降解研究，考察了氧气、水燕气体积分数等因素对n-C7H16光催化氧化的影响，利用气相色谱－质谱联用仪和气相色谱仪对气相光催化反应过程中的气体组成进行了定性分析，并对主要中间产物丙醛进行了定量分析，结果发现，ZnO超微粒子光催化氧化n-C7H16的降解率较高，n-C7H16绝大部分被完全氧化成CO2，探讨了n-C7H16光催化氧化反尖的动力学行为及机理。     

金属富勒烯La＠C_（2n）的合成、提取及其ESR和MS表征

采用对掺入Ｌａ_２Ｏ_３的石墨棒原位活化并结合交换电极回放方法制备了产率较高的金属富勒烯，并用甲苯高温热提取的方法有效地提取出Ｌａ＠Ｃ_（２ｎ），其中Ｌａ＠Ｃ_（７４）为可溶性金属富勒烯增加了新成员．同时，首次采用解吸电子轰击质谱对提取物进行了表征，讨论了提取物的ＥＳＲ谱．     

核磁共振法测定高聚物的结构—核磁共振二维谱

介绍了核磁共振(NMR)波谱,尤其是核磁共振二维谱(2D NMR)在最近几年内的进展。内容包括怎样用NMR测定高聚物的序列分布、共聚物结构、聚合物的混溶性、聚合物液晶的取向度、分子量、短链度和长链支化度、凝聚态高聚物的多相结构等。