一类可降阶高阶微分方程的教学设计

给出针对一类可降阶高阶微分方程的一种教学设计.以趣味故事作为实例引入,得出悬链线所满足的一类高阶微分方程,找出通用的求解方法对其求解.使学生对求解方法印象深刻,并对微分方程的应用有一个初步的了解.在教学过程中,步步引导,全程既具有趣味性又具有启发性.     

一种修正的HS共轭梯度法及全局收敛性

<正>1引言考虑无约束极小化问题:(?),(1)其中f(x)连续可微,其梯度函数用g(x)表示.共轭梯度法求解(1)的常用迭代格式为:x_(k+1)=x_k+α_kd_k,(2)(?)(3)其中g_k=▽f(x_k),α_k≥0是由某种线搜索得到的步长因子;d_k为搜索方向,β_k为标量,β_k的不同选择产生了不同的共轭梯度法.著名的β_k公式有:     

Undercooling and Unidirectional Solidification of CuNi Alloy Melts

Cylinder-shaped CusoNi20 alloy melt is undercooled and solidified by the combination of the electromagnetic levitation technique and the flux treatment method. Nearly constant temperature gradient of 8-10 K/cm is realized for the cylindrical melts with differen~ undercooling levels at the bottom ends. The experimental results reveal that with the increase of the undercoo]ing of the melts from 35 to 220 K, the microstructures undergo transition from coarse dendrites to granular grains, unidirectional dendrites, and finally to equiaxed grains.     

基于最小二乘法的GM(1,1)模型在我国猪肉产量预测中的应用研究

猪肉产量受诸多因素影响,因此数据波动性大,并且具有小样本性及贫信息等特点.本文采用基于最小二乘法的GM(1,1)模型对我国未来几年内猪肉产量进行了短期预测.首先,介绍了GM(1,1)模型;然后,通过最小二乘法的原理弱化波动较大的数据,减少随机性,加强规律性,建立基于最小二乘法的GM(1,1)模型;其次,结合2008至2014年我国猪肉产量数据建立预测模型;最后,使用2014年数据对模型的可靠性进行验证,基于最小二乘法的GM(1,1)模型的预测结果更加接近实际值.预测结果显示未来3年中国猪肉产量将持续增加.该模型为其他相关预测提供了理论依据,也便于我国对未来猪肉产品市场进行宏观调控,维持猪肉市场平衡,避免猪肉价格波动风险.     

Synthesis and Crystal Structure of (9S)-2′-O-Benzoyl-9,11-[carbonylbis(oxy)]-9-deoxo-5-O-(β-D-desosaminyl)-12,21-anhydro-9-hydroxy-erythronolide A

The title compound (9S)-2′-O-benzoyl-9,11-[carbonylbis(oxy)]-9-deoxo-5-O-(-D-desosaminyl)-12,21-anhydro-9-hydroxyerythronolide A 1 was synthesized. The crystal structure of the acetone solvate of 1, C37H55NO11·C3H6O, was determined by single-crystal X-ray diffraction analysis. It belongs to monoclinic system, space group P21 with a = 14.4691(10), b = 8.2626(6), c = 17.5990(11) , β = 94.167(1)°, V = 2098.4(2)3, Mr = 748, Z = 2, Dc = 1.184 g/cm3, μ = 0.087 mm-1, F(000) = 808, S = 1.026, R = 0.0542 and wR = 0.1322 for 3331 observed reflections (I > 2σ(I)). In the solid state, molecules of 1 are linked into spirals along the b axis by O(25)- H(25)···O(29) intermolecular hydrogen bond.     

重离子冷却储存环CSRm双电子复合实验研究类锂36,40Ar15+离子同位素移动

配备电子冷却装置的重离子储存环为开展高电荷态离子的双电子复合（dielectronic recombination,DR）精密谱学研究提供了绝佳的实验平台。本工作在兰州重离子加速器冷却储存环主环（HIRFL-CSRm）上开展了类锂36,40Ar15+离子的双电子复合实验,实验观测了电子-离子质心系能量范围为0~35 eV的双电子复合速率系数谱。通过外推法获得了36,40Ar15+离子2s_1/2→2p_1/2和2s_1/2→2p_3/2的跃迁能量。同时利用GRASP2K程序理论计算了36,40Ar15+离子2s_1/2→2p_1/2和2s_1/2→2p_3/2跃迁的质量移动因子和场移动因子,进而得到双电子复合谱的同位素移动值。36,40Ar15+离子2s_1/2→2p_1/2和2s_1/2→2p_3/2同位素移动分别为0.861 meV和0.868 meV。它们均小于目前CSRm上双电子复合实验的实验分辨为~10 meV,进而解释了实验测量的DR谱上未能观察到同位素移动的原因。然而,高电荷态离子的同位素移动场效应与原子序数Z5成正比,因此,在重离子加速器冷却储存环实验环（HIRFL-CSRe）以及未来大型加速器--强流重离子加速器装置（HIAF）上有望通过DR精密谱学方法研究高电荷态重离子甚至放射性离子的同位素移动,进而获得相关原子核的核电荷半径等信息。The cooler storage ring is equipped with an electron-cooler. It is an excellent experimental platform for dielectronic recombination (DR) experiment of highly-charged ions. In this paper, the dielectronic recombination experiments of lithium-like Ar15+ ions with mass number 36 and 40 are conducted at the HIRFL-CSRm(main ring of the Cooling Storage Ring of Heavy Ion Research Facility in Lanzhou). The experimental electron-ion collision energy scale is from 0 eV to 35 eV. Extrapolation method is exploited to obtain the excitation energies of transitions 2s_1/2→2p_1/2 and 2s_1/2→2p_3/2 of the 36,40Ar15+ ions from experimental data. Meanwhile, GRASP2K program is utilized to calculate the mass shift factors and field shift factors of 36,40Ar15+ ions for 2s_1/2→2p_1/2 and 2s_1/2→2p_3/2 transitions to obtain isotope shifts in DR spectra. In theoretical calculation, isotope shifts of 36,40Ar15+ ions corresponding to 2s_1/2→2p_1/2 and 2s_1/2→2p_3/2 are 0.861 meV and 0.868 meV, respectively. They are both less than the experimental precision (~10 meV) of these dielectronic recombination experiments at the CSRm, which explains that isotope shifts cannot be distinguished from the experimental dielectronic recombination spectra. However, the field shift of highly-charged ions is proportional to Z5. In the future, the dielectronic recombination experiments of highly-charged heavy ions even radioactive ions will be conducted at the HIRFL-CSRe (experimental ring of the Cooling Storage Ring of Heavy Ion Research Facility in Lanzhou) and the future large accelerator facility--HIAF(High intensity Heavy-ion Accelerator Facility) to measure isotope shifts to obtain the nuclear charge radius information.     

增强碳纳米管场发射性能的沟槽形冷阴极制作(英文)

基于烧结工艺和丝网印刷技术,研发了一种新的沟槽形冷阴极.底部绝缘层由黑色绝缘浆料被烧结后制成,且在底部绝缘层中存在倾斜面.将银浆丝网印刷在条形电极上,依次经烘烤和烧结工艺后形成银电极.利用细砂纸,对银电极进行适当的抛光工艺,以便获得光滑的电极表面.由于特有的银电极形状,从而易于获得更大的场增强因子.将碳纳米管制备在银电极上,形成场发射极.致密的碳纳米管层完全覆盖银电极表面,特有的边缘场增强效应能够使得碳纳米管发射出更多的电子.顶部绝缘层则用于抑制碳纳米管的横向电子发射.结合沟槽形冷阴极,制作了三极结构的场致发射显示器,该显示器具有良好的场致发射特性及优良的发光图像均匀性.与普通冷阴极场致发射显示器相比,沟槽形冷阴极场致发射显示器能够将开启电场从1.86V/μm降低到1.78V/μm,将最大场致发射电流从1 537μA增加到2 863μA,且将最大发光图像亮度从1 386cd/m2提高到1 865cd/m2.该制作技术在场致发射显示器中具有较强的实际应用性.     

Atomic structure and collision dynamics with highly charged ions

The research progresses on the investigations of atomic structure and collision dynamics with highly charged ions based on the heavy ion storage rings and electron ion beam traps in recent 20 years are reviewed. The structure part covers test of quantum electrodynamics and electron correlation in strong Coulomb field studied through dielectronic recombination spectroscopy and VUV/x-ray spectroscopy. The collision dynamics part includes charge exchange dynamics in ion-atom collisions mainly in Bohr velocity region, ion-induced fragmentation mechanisms of molecules, hydrogen-bound and van de Waals bound clusters, interference, and phase information observed in ion-atom/molecule collisions. With this achievements, two aspects of theoretical studies related to low energy and relativistic energy collisions are presented. The applications of data relevant to key atomic processes like dielectronic recombination and charge exchanges involving highly charged ions are discussed. At the end of this review, some future prospects of research related to highly charged ions are proposed.     

不同退火条件对PEALD制备的Ga2O3薄膜特性的影响

利用等离子增强原子层沉积技术(PEALD)在c面蓝宝石衬底上制备了氧化镓(Ga₂O₃)薄膜,研究了退火气氛(v(N₂)∶v(O₂)=1∶1(体积比)、空气和N₂)及退火时间对Ga₂O₃薄膜晶体结构、表面形貌和光学性质的影响。研究结果表明,退火前的氧化镓处于亚稳态,不同退火气氛下退火后晶体结构发生明显改变,而且退火气氛中N₂比例增加有利于Ga₂O₃重结晶。在N₂气氛下退火达到30 min,薄膜结构已由亚稳态转变成择优取向的β-Ga₂O₃。而且表面形貌分析表明,退火30 min后表面形貌开始趋于稳定,表面晶粒密度不再增加。另外实验样品在 400~800 nm的平均透射率几乎是100%,且光吸收边陡峭。采用N₂气氛退火,对于富氧环境下沉积的Ga₂O₃更利于薄膜表面原子迁移,以及择优取向Ga₂O₃重结晶。