二元扩散偶界面的元素扩散和金属间相的形成

根据元素扩散数据、相形成热和它们的稳定性, 分析了二元扩散偶界面元素扩散和中间相的形成.并实验研究了Ti-Ni, Nb-Sn 和Ta-Pt 三个系统. 关键词：     

ILL-POSEDNESS FOR THE NONLINEAR DAVEY-STEWARTSON EQUATION

The nonlinear D-S equations on R^d, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be ill-posed in the Sobolev space H^s whenever the exponent s is lower than that predicted by scaling or Galilean invariance, or when the regularity is too low to support distributional solutions. Authors analyze a class of solutions for which the zero-dispersion limit provides good approximations.     

Hausdorff dimension of Cantor attractors in one-dimensional dynamics

In this paper, we study the Hausdorff dimension of Cantor attractors of smooth interval maps with non-flat critical points. We prove that the Hausdorff dimension is bounded from above by a constant less than 1 which depends only on the number and order of the critical points.     

Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations

A kind of function-valued Padé-type approximant via the formal orthogonal polynomials (FPTAVOP) is introduced on the polynomial space and an algorithm is sketched by means of the formal orthogonal polynomials. This method can be applied to approximate characteristic values and the corresponding characteristic function of Fredholm integral equation of the second kind. Moreover, theoretical analyses show that FPTAVOP method is the most effective one for accelerating the convergence of a sequence of functions. In addition, a typical numerical example is presented to illustrate when the estimates of characteristic value and characteristic function by using this new method are more accurate than other methods.     

Molecular designing of organic conductor based upon the model of polypyrrole

The electronic structure and properties of polypyrrole (p-Pyr) based substituting by the group of pyrazine (Pyz) and their model compounds were studied by the density functional theory (DFT) at the B3LYP level with 6-31G* basis set. The bond length, the topological analyses and nucleus-independent chemical shifts (NICS) were analyzed and correlated with the electronic properties. The bond length of all compounds is reduced with the increase in the degree of polymerization, and the band gap of these compounds is decreased. The change of NICS shows that the conjugation degree in central section of the polymeric axis is stronger than that in outer section, and the structure of central part was close to quinoid structure in polymers. The theoretical results suggest that the band gap of p-Pyz (polymer of Pyz) (0.37 eV) is much smaller than the band gap of polypyrrole (1.84 eV). The narrow band gap, large HOMO and LUMO bandwidths and small effective masses make p-Pyz have a remarkable elevation of the conductivity, so it may be considered as a very good candidate for conducting material.     

同时测定三辛胺和三辛胺盐酸盐的双波长分光光度法

提出了利用双波长分光光度法测定三辛胺（ＴＯＡ）及三辛胺盐酸盐（ＴＯＡ·ＨＣｌ）的一种新方法，即ＴＯＡ和ＴＯＡ·ＨＣｌ在ＣＣｌ４溶液中与Ｉ２生成电荷转移化合物，其最大吸收波长分别为２９３ｎｍ和２６３ｎｍ，两组分同时存在时可利用吸光度的加和性得联立方程，分别求出两组分的含量。ＴＯＡ含量在０～３５ｍｇ／Ｌ，ＴＯＡ·ＨＣｌ含量在０～３１ｍｇ／Ｌ范围内符合比耳定律。该法简便快速，方法的回收率为９５．５％～１０４．６％，能够满足分析的需要