铂硅铝催化剂的铂分散度与催化性能的关系

研究了不同类型铂硅铝催化剂的铂分散度,并考察了它和催化剂的酸性及活性等相互之间的关系。发现当改变酸性或铂分散度时,催化剂的铂总面积和酸性以及活性三者之间都有平行变化的趋势。这些结果都可用表面复合体生成的观点解释,但与分离中心的观点有所矛盾。     

C_(70)R_2(R=OH,CH_3)的结构和电子光谱

INDO方法研究了C70R2（R＝OH，CH3）4种异构体的结构和稳定性，表明1，9－C70（OH）2比7，8－C70（OH）2稳定，两者能量差为38．5kJ／mol，而7，8－C70（CH3）2比1，9－C70（CH3）2能量低23．0kJ／mol．以优化构型为基础，对C70R2（R＝OH，CH3）的电子光谱进行了理论预测．     

Finite size effect on the Raman frequency of phonons in nano-semiconductors

A comprehensive study on Raman spectroscopy with different excitation wavelengths, sample sizes, and sample shapes for optic phonons (OPs) and acoustic phonons (APs) in polar and non-polar nano-semiconductors has been performed. The study affirms that the finite size effect does not appear in the OPs of polar nano-semiconductors, while it exists in all other types of phonons. The absence of the FSE is confirmed to originate from the long-range Fr¨ohlich interaction and the breaking of translation symmetry. The result indicates that the Raman spectra of OPs cannot be used as a method to characterize the scale and crystalline property of polar nano-semiconductors.     

主动力信息足以确定静摩擦力的指向吗?

摩擦力既是教学的重点,更是教学的难点,特别是静摩擦力的指向确定。文章将阐述:首先,就计算而言,静摩擦力指向确定并不重要;第二,对某些动力学问题,主动力信息不足以唯一确定静摩擦力的指向;第三,在某些特殊条件下,比如运动刚体的质心位于接触点法线上(如无质量偏心的圆柱),由主动力向撞击中心简化的主矩可确定静摩擦力的指向;第四,把摩擦面假想成光滑面后,运动刚体在接触点的切向加速度指向与该处静摩擦力的指向相反。     

Microwave Solvothermal Synthesis,Crystal Structures and in Vitro Antitumor Activities of Di-n-butyltin Piperonylate with a Sn_4O_4 Ladder Framework

A two-dimensional supramolecular compound di-n-butyltin piperonylate, {(μ_3-O)(μ_2-OMe)(n-Bu_2Sn)_2[O_2CAr(C_2H_4O)]}_2 constructed by hydrogen bonds with a Sn_4O_4 ladder-like framework, was obtained by the microwave-assisted solvothermal reaction of di-n-butyltin oxide precursor with the piperonylic acid in methanol environments. The composite was characterized by elemental analysis and IR(~1H, ~(13)C and ~(119)Sn) NMR spectra. The compound crystallizes in monoclinic system, space group P21/n with a = 13.3690(12), b = 14.1442(14), c = 16.4022(16) ?, β = 107.191(6)°, V = 2963.0(5) ?~3, Z = 2, Dc = 1.520 g/cm~3, F(000) = 1368, μ = 1.719 mm~(-1), Mo Kα radiation(λ = 0.71073 ?), the final R = 0.0495 and w R = 0.1260 for 6780 observed reflections with I 2σ(I). Its X-ray crystallography diffraction analyses show a Sn_4O_4 ladder-like skeleton, in which two endocyclic tin and one exo tin atoms are bonded to the μ_3-O atom. In addition, one endocyclic tin and one exo tin atoms are respectively bonded to the μ_2-O atom from methanol. The ladder-like molecule has a three-ring fused skeleton, which is almost coplanar. The endocyclic and exocyclic tin atoms were all five-coordinated with distorted trigonal bipyramidal geometry. The antitumor activity showed that the compound had higher activities than cisplatin in HT-29, HepG2, MCF-7, KB and A549 cell line in vitro.     

低β 162.5 MHz taper型HWR腔的机械性能分析（英文）

北京大学正在设计β=0.09,频率为162.5 MHz taper型的二分之一波长射频超导谐振腔(HWR腔),这种腔针对高流强质子束(约100mA)和氘束(约50mA)的加速而设计。对于这种超导腔而言机械性能分析是十分重要的,可以通过机械性能分析来估计由于腔体的形变带来的频率偏移。用ANSYS分析了由于液氦压力不稳定造成的麦克风效应以及洛伦兹力造成的腔体失谐,并且对沿腔体轴线方向的调谐进行了分析。模拟结果显示这只腔压力敏感系数为31.1 Hz/kPa,洛伦兹力系数为-0.41Hz/(MV·m~(-1))~2。腔体的调谐范围达到±177kHz,足够补偿腔体可能的频率偏移。腔体的机械性能满足腔体正常运行的要求。     

GFC-空间中的GFs-KKM定理及其对重合问题的应用（英文）

在GFC-空间中引入GFs-KKM映射,建立GFs-KKM定理.作为应用,获得GFC-空间中广义γ-GFs-对角拟凹弱γ-转移紧下半连续泛函的变分不等式、弱转移紧闭集的几何截口定理和弱转移紧开值集值映射的重合定理.我们的结论统一、改进和推广了一些近期文献的已知结果.     

中立型分数阶微分滑模系统的稳定性

文章主要讨论中立型分数阶微分滑模控制系统的稳定性问题.首先介绍分数阶积分、微分及广义Gronwall不等式的一些定义,然后构造切换面,给出控制律,最后通过李雅普诺夫定理来证明切换面存在,并得出系统的稳定性成立.