Theoretical Analysis of Interference Nanolithography of Surface Plasmon Polaritons without a Match Layer

Interference nanolithography techniques based on long-range surface plasmon polaritons （LR-SPP） are hardly ever achieved by experiments at present. One key reason is that suitable liquid materials are difflcult to find as the match layer connects the metal film and the resist. We redesign a Kretschmann-Raether structure for interference lithography. A polymer layer is coated under the metal film, and an air layer is placed between the polymer layer and the resist layer. This design not only avoids the above-mentioned question of the match layer, but also can form a soft contact between the polymer layer and the resist layer and can protect the exposure pattern. Simulation results confirm that a device with an appropriately thick polymer layer can form high intensity and contrast interference fringes with a critical dimension of about λ/7 in the resist. In addition, the fabrication of the device is very easy.     

Co(1,10-phen·)32+-KIO4-鲁米诺化学发光体系与应用

本文研究了Co(1,10-phen·)32+配合物对KIO4氧化鲁米诺所产生的强化学发光反应.以1,10-phen·为配位体时,Co(Ⅱ)的检出限为8×10-8g/L,工作曲线响应浓度范围在1×10-6~1×10-4g/L,测定1×10-4g/LCo(Ⅱ)离子的相对标准偏差为2.5%.配合物化学发光法检测啤酒、维生素B12针剂中微量Co(Ⅱ)可获得满意结果.     

一维随机激光器中准态模的饱和特性研究

针对随机激光器的半经典理论是应用电磁场时域有限差分法数值求解半经典随机激光模型方程组，基于半经典理论数值研究了一维随机激光器中准态模式的饱和特性，获得了不同准态模的空间分布和频谱分布图。计算结果分析显示：准态模式的某些特征参数如局域程度将会影响系统的饱和特性。利用这一结果，可以通过单频抽运方法选择具有低阈值、高饱和强度的准态模式作为整个激光系统的稳态输出模式。     

GEOCHEMICAL PRINCIPLES OF ALKALINE METASOMATISM

Studies made in the last twenty years and more have shown that alkaline metasomatism (AM) is far more exstensive and important in metallogenesis and rock-forming processes than what have been recognized up to date. In this paper geochemical essential of the AM, which is closely related to the ore formation of a series of oxygenfile and chalcofile elements, and their dozens of mineralization types are discussed. In fact, the so-called hydrothermal process is mainly represented by the AM. The AM is also a fundamental mechanism of formation of the rocks such as granite, migmatite, agpaite, carbonatite, spilitekeratophyre, etc., which are intimately connected with the degassing, dewatering, dealkalinizing from the mantle,     

最高阶元素个数为40的非可解群的分类

设$\varphi$为群${\rm Aut}(N)$的同态,记$H_\varphi\times N$为群$N$借助于群$H$的半直积.设$G$为有限不可解群,本文证明: 若$G$中最高阶元素个数为40, 则$G$同构于下列群之一:(1)~$Z_{4\varphi}\times A_5$,\,${\rm ker}\varphi=Z_2$; (2)~$D_{8\varphi}\times A_5,\,{\rm ker}\varphi=Z_2\times Z_2$; (3)~$G/N=S_5$, $N=Z(G)=Z_2$; (4)~$G/N=S_5$, $N=Z_2\times Z_2,\,N\cap Z(G)=Z_2$.     

最低工资与经济增长:一个新理论模型

近年来,最低工资问题越来越受到理论界以及政府部门的重视.考虑了最低工资标准对国家经济增长的影响,提出了一个最低工资经济增长的理论模型,并求得该模型的均衡解,得出了最低工资标准的提高将降低就业率,由此引发的失业扩大将会促进经济增长的结论.     

α射线在磁场和电场中偏转的早期实验

对放射性物质所发出的α射线的东质所进行的探索人约经历了10年(1898-1908)的漫长历程.其中,关键而又首要的一步是α射线的粒子性的证实.它是通过卢瑟福(Ernest Ru-therford 1871-1937)在 1902年秋天所作的α射线在磁场和电场中偏转的实验所完成的.这些实验曾被N·费瑟(Normann　Feather)誉为整个科学史上最惊人的实验之一[1]. 卢瑟福于1902-1903年期间,对放射性的本质和起因进行了实验上的研究和理论上的探索,与索迪(F.Soddy)合作发现了放射性衰变规律.这一蜕变理论又开拓了两个新的领域:不同放射性物质之间本质的联系和放射性变化中所…     

稀土复合硫化物Ln_6MSi_2S_(14)(M=Co、Ni)的合成

用气固相反应合成出一系列Ln_6MSi_2S_(14)(Ln=La··Dy,M=Co、Ni)化合物,给出了X射线粉末衍射数据和晶胞参数。     

偏最小二乘回归方法的局限性及改进算法

提出了偏最小二乘回归中的一类不适用情况,并从理论上分析,实例上验证,给出了针对这种情况的一种改进算法,从而拓宽了偏最小二乘回归的使用范围.     

EXACT AUGMENTED LAGRANGIAN FUNCTION FOR NONLINEAR PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTS

An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed. Under suitable hypotheses, the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem. Furthermore, under some assumptions, the relationship was also established between the global solutions of the augmented Lagrangian function on some compact subset of the space of problem variables and the global solutions of the constrained problem. Therefore, from the theoretical point of view, a solution of the inequality constrained problem and the corresponding values of the Lagrange multipliers can be found by the well-known method of multipliers which resort to the unconstrained minimization of the augmented Lagrangian function presented.