皮尔斯电子枪非迭代综合法的修正

 对Tiwary非迭代综合法进行了整理分析,根据阴极半锥角大小的不同范围对其计算公式做出了相应修正,使得计算结果与Vaughan迭代综合法的计算结果相吻合,二者之间相差可以实现小于1°;对阳极半径公式也做了合理的修正,使阳极与阴极之间的间隙及电子枪射程的计算精度也与迭代综合法相当。采用非迭代法的修正方法计算精度受阴极半锥角大小的影响大大减小,扩大了其应用范围。     

追本溯“圆”——探究“定弦定角”

尺规作图和“定弦定角”问题是近几年一些地区的中考热点题型,对于这样的问题,学生往往想不到用圆来解决,因此必须追本溯“圆”.基于此,本文还原了此次省级公开课的真实情境,本节课从特殊到一般,利用尺规作图探究“定弦定角”,运用数学的思维方式思考,增强发现问题和提出问题的能力、分析和解决问题的能力,提高学生的数学素养.     

气溶胶前向散射大气能见度测量系统传递系数的标定及校准方法

分析了气溶胶的前向角散射特性,利用标准的大气透射仪标定前向散射大气能见度测量系统的传递系数。当系统结构发生变化时,传递系数也随之改变,为保证系统测量的准确性和简化系统传递系数的标定过程,提出了一种利用标准漫透射板校准系统传递系数的方法。该方法使用了两块具有相同透射系数的漫透射板,使气溶胶粒子团在前向半球上产生漫散射,此时探测器的测量值即为包含了仪器常数的定值。当系统结构改变时,这个测量值相对于原测量值的变化率作为比例系数代入系统传递系数的计算,实现校准。     

ELECTRICALLY FORCED THICKNESS-SHEAR VIBRATIONS OF QUARTZ PLATE WITH NONLINEAR COUPLING TO EXTENSION

We study electrically forced nonlinear thickness-shear vibrations of a quartz plate resonator with relatively large amplitude. It is shown that thickness-shear is nonlinearly coupled to extension due to the well-known Poynting effect in nonlinear elasticity. This coupling is relatively strong when the resonant frequency of the extensional mode is about twice the resonant frequency of the thickness-shear mode. This happens when the plate length/thickness ratio assumes certain values. With this nonlinear coupling, the thickness-shear motion is no longer sinusoidal. Coupling to extension also affects energy trapping which is related to device mounting. When damping is 0.01, nonlinear coupling causes a frequency shift of the order of 10^-6 which is not insignificant,and an amplitude change of the order of 10^-8. The effects are expected to be stronger under real damping of 10^-5 or larger. To avoid nonlinear coupling to extension, certain values of the aspect ratio of the plate should be avoided.     

TRANSIENT TORSIONAL WAVE IN FINITE HOLLOW CYLINDER WITH INITIAL AXIAL STRESS

An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method. The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed.     

PARALLEL FINITE ELEMENT ANALYSIS OF HIGH FREQUENCY VIBRATIONS OF QUARTZ CRYSTAL RESONATORS ON LINUX CLUSTER

Quartz crystal resonators are typical piezoelectric acoustic wave devices for frequency control applications with mechanical vibration frequency at the radio-frequency （RF） range. Precise analyses of the vibration and deformation are generally required in the resonator design and improvement process. The considerations include the presence of electrodes, mountings, bias fields such as temperature, initial stresses, and acceleration. Naturally, the finite element method is the only effective tool for such a coupled problem with multi-physics nature. The main challenge is the extremely large size of resulted linear equations. For this reason, we have been employing the Mindlin plate equations to reduce the computational difficulty. In addition, we have to utilize the parallel computing techniques on Linux clusters, which are widely available for academic and industrial applications nowadays, to improve the computing efficiency. The general principle of our research is to use open source software components and public domain technology to reduce cost for developers and users on a Linux cluster. We start with a mesh generator specifically for quartz crystal resonators of rectangular and circular types, and the Mindlin plate equations are implemented for the finite element analysis. Computing techniques like parallel processing, sparse matrix handling, and the latest eigenvalue extraction package are integrated into the program. It is clear from our computation that the combination of these algorithms and methods on a cluster can meet the memory requirement and reduce computing time significantly.     

拓扑近藤绝缘体SmB6中的奇异电子性质

拓扑近藤绝缘体是一种本征的强关联拓扑电子体系,其体能隙来源于近藤关联效应。自2010年拓扑近藤绝缘体的理论概念被提出后,六硼化钐(SmB6) 作为第一种被预测为拓扑近藤绝缘体的材料在这十多年中被多种实验手段反复研究验证,被广泛接受认为是第一种拓扑近藤绝缘体。在这篇综述中,我们回顾了关于SmB6 的一些重要实验结果,比如电输运测量,角分辨光电子能谱(ARPES), 表面形貌分析(STM) 等,并论述了如何通过这些关键的实验证据证实SmB6 的拓扑近藤绝缘物相。同时,我们也展示了SmB6 这一关联电子体系的其他奇异物性,包括中间价态在表面和体内的分离现象,以及量子振荡发现的体振荡信号等等。这些性质表明我们对SmB6 这一材料的理解仍然不充分,其中还有更为丰富的物理值得挖掘。     

固体核磁共振结合密度泛函理论计算研究SSZ-39分子筛的钠离子落位与铝分布

具有AEI结构的SSZ-39分子筛的骨架外阳离子落位和铝分布对其催化性能影响显著.AEI笼中有三个结晶学不等价位,且铝取代T位具有一定的倾向性.本文结合固体核磁共振（NMR）技术（²⁷Al/²³Na MQ MAS NMR）,以及密度泛函理论（DFT）计算,研究了不同硅铝比Na-SSZ-39分子筛中的Na⁺落位和铝分布.在孤立铝分布的情况下,铝原子优先占据于T3位,Na⁺主要落位于AEI笼中的SIIa0和SIII'a0位点上,其中SIII'a0位点的优先度较高,此外少部分Na⁺还落位于六棱柱内部的SIa0.当铝对存在时,AlSiSiAl分布的铝对占据六元环的对位（T3-T3）,对应的Na⁺分别落位于SIIa1和SⅢ'a1位点.随着分子筛结构的部分破坏,游离的Na⁺可能形成明显的SIII'b位点.本文可加深对SSZ-39分子筛构效关系的理解,为更好地调控催化性能奠定基础.     

原子表面扩散的对称破缺对二维岛形成的控制

文章阐述了当CO吸附改变时Pt/Pt(111)同质外延单层岛的形状的微观选择机制,即岛的取向由沉积原子的边-角扩散运动的不对称性惟一决定.对没有CO介入的理想真空生长情况,衬底温度不能改变三角形岛的取向.CO的吸附反转了边-角扩散运动的不对称性,从而使岛的取向发生变化.     

束靶耦合传感器光学及机械设计

利用共轭原理设计了用于惯性约束聚变的束靶耦合传感器,不仅解决高精度打靶,同时避免模拟准直光在瞄准过程中直接辐照实验靶。根据束靶耦合传感器的设计功能和工作原理,进行系统的光学设计和机械结构设计,通过成像实验采集的图像光学分辨力达到6 m,束靶耦合精度8.8 m。该束靶耦合传感器已经成功应用于神光-Ⅲ原型装置,通过针孔相机采集的四孔CH靶图像,统计计算得到装置的打靶精度优于25 m,满足设计打靶的束靶耦合精度的指标。