分光光度法测定痕量亚硝酸盐氮

基于硝酸介质中,亚硝酸盐氧化亚铁氰化钾的化学反应,研究了测定痕量NO2N的新方法。ε=6.9×105,测定范围0～20μg/25ml。本法用于测定污水中的痕量NO-2N,变动系数为1.86～2.63%。     

紫外/深蓝OLED发光材料研究进展

有机电致发光材料和器件(OLED)经过三十余年的发展已经基本完成了从基础科学研究到产业化商品的蜕变过程,而由于蓝紫发光材料的分子禁带(>3.0 eV)与器件运行中载流子注入/传输平衡之间的固有矛盾,加之人眼在蓝光区域的敏感度降低等问题,蓝光器件的整体性能远远落后于其他光色。因此,综合性能优异的紫外/深蓝光材料和相关分子设计理论已成为实现OLED独领“新一代显示照明技术”的关键突破点。本文主要介绍了近十年来紫外/深蓝OLED发光材料(λ_EL<430 nm)的研究进展,并从材料结构与机制等方面进行了归纳,旨在推动更多宽禁带发光材料的设计和相关理论的完善和发展。     

片状切变型夹杂导致的脆性开裂

片状切变型夹杂可以表现一些重要物理过程的力学特征,例如在晶体材料中形成的滑移带、形变孪晶带以及片状马氏体等。这些过程与材料的断裂密切相关。本文采用位错连续分布方法,导出了位于片状夹杂端部的裂纹的应力强度因子的解析表达式。根据本文的结果,我们讨论了片状夹杂所导致的微裂纹扩展的特征。由夹杂理论可以得到多晶体孪晶脆断应力的Hall-Petch关系,理论计算与实验结果符合得好。 关键词：     

First-Principles Calculations for Structures and Melting Temperature of Si6 Clusters

We investigate the structures and the melting temperature of the Si6 cluster by using the first-principles pseudopotential method in real space and Langevin molecular dynamics. It is shown that the ground structure of the Si6 cluster is a square bipyramid, and the corresponding melting temperature is about 1923 K. In the heating procedure, the structures of the Si6 cluster change from high symmetry structures containing 5-8 bonds, via prolate structures containing 3-4 bonds, to oblate structures containing 1-2 bonds.     

初等Abel群的加法定理

本文中用Kneser's定理得到下列结论一个新的简单证法.设G为初等Abel p-群(运算用加法),S={a1,a2,…,an)为G的一个n项不含有零然的元素列(元素可允许重复),∣s∣=n=pm-1 p-2,,其中p为素数,若对G的任意子群H,S最多含有∣H∣-1项,则:(1)当m=2时,∑0(S)=G;(2)当m 3时,∑(S)=G.特别有(1)Olson'猜想r(ZpZp)=2p-2;(2)r(mZp)=c(mZp)=pm-1 p-2,m 3.     

非线性阻尼非线性刚度隔振系统随机动力学特性研究

针对随机激励环境,同时引入刚度和阻尼非线性来提高隔振系统的隔振性能.刚度和阻尼非线性分别是由水平弹簧和水平阻尼的几何布置获得.通过求解Fokker-Planck-Kolmogorov(FPK)方程等效非线性随机振动方程来研究非线性隔振系统在随机激励下的隔振性能,并使用路径积分和Monte-Carlo数值方法进行验证.在此基础上研究刚度非线性和阻尼非线性对隔振系统在随机激励下力传递率及其概率分布的影响.研究表明随着噪声强度的增加,非线性阻尼抑制振动的能力增强,但是在较小的随机激励下线性阻尼优于非线性阻尼.     

积分中值定理在一道极限题的应用分析

利用积分中值定理计算极限limt→0+1/t4(∫)Ω(t)f(√x2+y2+z2)dxdydz可能会出现问题.但只需增加一些条件就能解决.我们还将所得结论推广到更一般的形式.     

一类条件不等式的“根”

在教学中 ,笔者常见如下题组 :已知ｘ1∈Ｒ+ (ｉ=1 ,2 ,3) ,且ｘ1+ｘ2 +ｘ3 =1 ,求证 :①ｘ21+ 2ｘ22 + 3ｘ23 ≥ 61 1 ｘ ;②ｘ1+ｘ2 +ｘ3 ≤ 3;③ 1ｘ1+ 4ｘ2 + 9ｘ3 ≥ 36 .( 1 990日本ＩＭＯ选拔赛题 )该类不等式的“根”是什么呢 ?通过研究 ,笔者发现下面结论 .命题　已知ｘｉ,ａｉ∈Ｒ+ (ｉ=1 ,2 ,… ,ｎ)且∑ｎｉ=1ｘｉ=ｋ ,ｍ是有理数 ,则1 )当ｍ >1或ｍ <0时 ,∑ｎｉ=1ａｉｘｍｉ ≥ｋｍ(∑ｎｉ=1ａ 11-ｍｉ ) 1-ｍ.2 )当 0 <ｍ <1时 ,∑ｎｉ=1ａｉｘｍｉ ≤ｋｍ(∑ｎｉ=1ａ 11-ｍｉ ) 1-ｍ.证　 1 )当ｍ >1时 ,因为ｍ是有理数 ,可…     

Analytical solution based on the wavenumber integration method for the acoustic field in a Pekeris waveguide

An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.     

Effect of an axial magnetic field on a DC argon arc

In this paper a commercial CFD （computational fluid dynamics） code FLUENT has been used and modified for the axisymmetric swirl and time-dependent simulation of an atmospheric pressure argon arc in an external axial magnetic field （AMF）. The computational domain includes the arc itself and the anodic region. Numerical results demonstrate that the AMF substantially increases the tangential component of the plasma velocity. The resulting centrifugal force for the plasma rotation impels it to travel to the arc mantel and as a result, a low-pressure region appears at the arc core. With the AMF, the arc presents a hollow bell shape and correspondingly, the maximal values of the temperature, pressure and current density on the anode surface are departing from the arc centreline.