开发课程资源 培养文化自信——以“图形的旋转”教学为例

文化是国家和民族的灵魂,培养学生文化自信是教师义不容辞的责任和义务.教学“图形的旋转”时,针对旋转概念的引入与辨析以及旋转基本性质的巩固与深化等活动环节,可以适时创设赋予中华文化底蕴的教学情境,促进学生对中华优秀传统文化的尊敬、信任和珍惜.     

Conductance Oscillations in Spin Field-Effect Transistors

Ballistic spin transport in spin field-effect transistors is studied by taking into account the Rashba spinorbit coupling, interracial scattering, and band mismatch. It is shown that the spin conductance oscillation with the semiconductor channel length is a superimposition of the Rashba spin precession and spin interference oscillations. They have different oscillation periods π/κR and π/κ with κR the Rashba wavevector and κ the Fermi wavevector of the semiconductor channel, and play different parts of slow and rapid oscillations, depending upon the relative magnitude of π/κR and π/κ. Only at κ = κR does the spin conductance exhibit oscillations of a single period. Two types of different behaviors of the tunnelling magnetoresistance are discussed.     

Effect of Disclination Lines on Free Energy of Nematic Liquid Crystals

In the light of φ-mapping method-and topological current theory, the effect of disclination lines on the free energy density of nematic liquid crystals is studied. It is pointed out that the total Frank free energy density can be divided into two parts. One is the distorted energy density of director field around the disclination lines. The other is the saddle-splay energy density, which is shown to be centralized at the disclination lines and to he topologically quantized in the unit of kπ/2 when the Jacobian determinant of the director field does not vanish at the singularities of the director field. The topological quantum numbers are determined by the Hopf indices and Brouwer degrees of the director field at the disclination lines, i.e., the disclination strengthes. When the Jacobian determinant vanishes, the generation, annihilation, intersection, splitting and merging processes of the saddle-splay energy density are detailed in the neighborhoods of the limit points and bifurcation points, respectively. It is shown that the disclination line with high topological quantum number is unstable and will evolve to the low topological quantum number states through the splitting process.     

MeV能量离子辐照拟南芥干种子和含水种子存活曲线对比

离子束辐照植物种子所产生的水自由基对植物种子存活率会有影响, 实验中为了观察这种辐射效应, 采用6.5 MeV能量的质子分别辐照拟南芥干种子和含水种子。 这个能量点的质子无论对干种子还是含水种子都可以完全穿透, 减少了因损伤部位不同带来的差异。 实验中采用的质子注量从4×109 ions/cm2到1×1014 ions/cm2。 实验结果显示干种子和含水种子存活曲线均成肩形下降趋势,而且含水种子下降注量点明显低于干种子。 这是自由基作用结果。 同时在辐射生物学靶学说的基础上, 建立了模型, 通过参数的合理设置,很好地拟合了实验数据。 The dry and water saturated seeds of Arabidopsis thaliana were irradiated by H+ions with 6.5 MeV in atmosphere. The ion fluence used in this experiment was in the range of 4×109 —1×1014 ions/cm2. According to the structure of the seed and TRIM simulation, the ions with the energy of 6.5 MeV can penetrate the whole seed. The experiment shows that the fluence response curves for the dry seeds and water saturated seeds had distinct shoulders and reduced rapidly. The experimental results show that the water imbibed seeds were more sensitive than the dry seeds and the reason is from free radicals reaction. A model has been constructed, and primely simulates the experiment data.     

ACRT-Bridgman法制备组份均匀的碲锌镉单晶体

采用加速坩埚旋转技术-Bridgman(ACRT-B)法制备了φ40 mm的结构较为完整的Cd0.96Zn0.04Te晶锭.利用红外分光光度计测定晶片的近红外透射曲线,最大斜率切线法测定截止波长(cut-off wavelength,threshold wavelength),进而计算截止能量和该点的Zn组份.绘制了晶片表面的组织图,以及晶锭轴向剖面的Zn组份等高线图.实验结果表明:ACRT方法显著改善晶体组份的轴向偏析和径向偏析,晶锭中部存在两个Zn组份轴向和径向皆均匀的区域,分别约占晶锭体积的37;和16;,对应于两个大的单晶晶粒,大部分区域Zn组分径向偏析几乎完全消失.     

高速摄影法测量破片初速度分布

通过高速摄影相机记录钢靶上的破片穿孔,利用起爆到破片穿靶的关联时间,求出破片的穿靶速度,再通过靶网法计算得到衰减系数α,从而得到每个破片的初速度及破片初速度的分布范围。     

薄膜-泡沫复合平面调制靶的制备

利用浇注法制备了具有正弦波调制图纹的溴代聚苯乙烯薄膜,并在此基础上将低密度聚-4-甲基-1-戊烯（PMP）泡沫溶胶浇注在薄膜调制图纹的表面,从而得到了薄膜-泡沫复合平面调制靶样品。较为详细的讨论了具有正弦波调制图纹的复合平面调制靶的制备方法并通过台阶仪、显微镜观测了薄膜表面条纹的起伏以及薄膜-泡沫截面的复合情况,实验结果发现,采用此种方法得到的复合平面调制靶样品,其薄膜厚度、泡沫密度易于控制,薄膜、泡沫调制界面清晰,易于微靶的加工与装配。     

四元数旋转算子和螺旋算子

1.引言由于四元数具有其它定位参数和变换算法的综合优点和综合功能,因而在刚体和多刚体力学中的应用越来越广。本文正是利用了四元数表达的多样性和算法的多功能性,首先利用两个单位矢量的四元数乘积导出了四元数旋转算子,并通过其矩阵形式串通了其它参数形式的各种变换算子。     

捷联惯导姿态更新的四子样旋转矢量优化算法研究

介绍了捷联惯导姿态更新算法中的旋转矢量算法,分析了锥运动环境下数学平台的算法漂移,提出了通过求解矛盾方程组实现四子样旋转矢量算法优化处理的新方法,并对单子样、双子样、三子样、四子样的算法漂移作了对比计算。