数学竞赛之窗

2005年国家集训队于3月14日至4月2日在辽宁沈阳东北育才学校进行了培训、测验和选拔.经过6次测验和选拔考试,选出了今年的6名国家队队员:任庆春(天津耀华中学),刁晗生(上海华师大二附中),罗晔(江西师大附中),康嘉引(广东深圳中学),邵火亘程(上海复旦大学附中),赵彤远(河北石家庄二中).选择考试命题组成员为:熊斌,王建伟,陈永高,余红兵,冷岗松,李伟固,朱华伟,郑仲义.     

弥散型金属薄膜逾渗系统的临界特性

报道了一种弥散型金属薄膜逾渗系统的制备方法和研究结果。从实验发现这种新型的逾渗系统具有异常的R-I关系、三次谐波系数与独特的电流临界规律。分析表明:这些特性与此类薄膜逾渗结构随电流增大而逐渐变化的过程有关,是由沿膜横向逐渐变化的局域隧道电流(LDTC)与跳跃电导(LDHC)效应引起的。     

Antiphase State in Passively Q-Switched Yb：YAG Microchip Lasers with a Nd,Cr：YAG as Saturable Absorber

We experimentally investigate the antiphase dynamics phenomenon that occurs in a diode-pumped passively Q-switched Yb:YAG multimode laser with a Nd,Cr:YAG saturable absorber. Due to the effect of spatial hole burning, the multimode lasers with one, two, or three modes at different pump power are observed, and the pulses sequences display classic antiphase dynamics.     

Fast Optical Switching Using Oriented Cyanine Dye-Doped Nematic Liquid Crystal

A cyanine dye, 2-[7-（1,3-dihydro-1,3,3-trimethyl-2H-indol-2-ylidene）-1,3,5-heptatrienyl]-1,3,3-trimethyl-3H-indolium iodide （NK-125）, is doped in 4-cyano-4＇-pentylbiphenyl （5 CB）, and the mixture is sandwiched between two pieces of rubbed glass plates. The third-order nonlinear optical properties of the oriented NK-125-SCB layers are measured by the resonant femtosecond degenerate four-wave mixing （DFWM） technique at 760 nm. The third-order nonlinear optical susceptibility of one of the present samples is 5.5×10^-8 esu. The slow DFWM response of the NK-125-SCB layers due to a population grating is accelerated by the increasing laser power because of amplified spontaneous emission （ASE）. On the other hand, we do not observe a similar phenomenon for NK-125- polyethylene glycol （PEG-400）. Oriented NK-125 molecules in nematic liquid crystals must have very high ASE efficiency. Hence the population grating in a DFWM signal disappears within about 4 ps. It is expected that NK-125-SCB can be used as a material for very fast all-optical switching.     

高分子钯络合物催化生成α-酮酰胺α-酮酯的双羰基化反应

在催化剂的作用下,通过芳香卤代化合物的双羰基化反应,一步直接生成α-酮酰胺 是近年来有机过渡金属化学方面新发现的反应之一。在三乙胺或乙酸钾的存在下,芳香卤代化合物、醇与一氧化碳在催化剂的作用下起双羰基化反应,一步生成酯和α-酮酯     

标的股价服从混合过程的期权定价公式及有限元算法

本文将马尔科夫跳跃过程叠加于 Ito过程 ,形成混合过程 ,并用该过程来刻画股价走势情况。而后在标的股价服从混合过程的基础上 ,推导出了欧式看涨期权的定价公式 ,并对美式看跌期权定价给出了有限元算法。     

第5届国际固体断裂与强度大会介绍

第5届国际固体断裂与强度大会于2003年10月19—23日在日本仙台市东北大学学术交流中心举行，当地电视台还做了专门的采访报道．     

负载稀土型酸活化膨润土的酯化催化活性

负载稀土型酸活化膨润土的酯化催化活性李永绣，冯天泽，胡平贵，何小彬，辜子英，廖荣辉（南昌大学化学系南昌３３００４７）关键词稀土，膨润土，催化酯化可用稀土、膨润土单独作酯化催化剂，但活性不高［１～３］。本文将稀土用离子交换的方法负载到酸活化膨润土中，寻...     

锂离子电池正极材料LiMn2O4的合成与晶体结构（英）

Spinel LiMn₂O₄ powders were prepared using two-step synthesis method consisting of solid-state reaction method and citrate modified sol-gel method. The effects of the calcination temperature and the Li/Mn ratio of raw materials were studied on the physicochemical and electrochemical properties of the spinel LiMn₂O₄ powders, such as crystallinity, lattice constant and density. The title compound was characterized by powder X-ray diffraction (XRD), scanning electron microscopy (SEM) and transmission electron microscopy (TEM). Polycrystalline LiMn₂O₄ powers calcined at 750 ℃ were found to be composed of very uniformly-sized microcrystal with an average particle size of 300 nm. The improvement in electrochemical properties was mainly attributed to the process of re-grinding by absolute alcohol.