Time-variable Method for Studying Reaction Rates in a Calorimeter

A novel method for the determination of rate constants of reactions, the time-variable method, is proposed in this paper. The method needs only three time points (t), peak heights () and pre-peak areas (), obtained from the measured thermoanalytical curve. It does not require the thermokinetic reaction to be completed. It utilizes data-processing on a computer to give the rate constants. Four reaction systems, including a first-order reaction, second-order reactions (with equal concentrations and with unequal concentrations) and a third-order reaction, were studied with this method. The method was validated and its theoretical basis was verified by the experimental results.This revised version was published online in November 2005 with corrections to the Cover Date.     

On the Total Coloring of Graphs Embeddable in Surfaces

The paper shows that any graph G with the maximum degree (G) 8, which is embeddable in a surface of Euler characteristic() 0, is totally ((G)+2)-colorable. In general, it is shownthat any graph G which is embeddable in a surface and satisfiesthe maximum degree (G) (20/9) (3–())+1 is totally ((G)+2)-colorable.     

锁相环的相位模型与实验电路

讨论了锁相环的相位数学模型,给出了一种适合于数学的锁相环实验电路．     

有理二次B—样条曲线的权系数与交比问题

对于控制顶点相同的两条有理二次Ｂ－样条曲线，本文证明了从任一控制顶点引出的射线上给定四点的交比值与射线位置无关的充要条件。对于一条有理二次Ｂ－样条曲线，本文还给出了另一种四个共线点的交比表示，此交比仅与过此顶点的射线位置有关，而与曲线的权系数无关，还给出了此交比在一定意义下为射影不变量的充要条件。     

重氢原子进入钛晶体中引起的晶体结构转变与电解重水过程中“过热”现象的关系

对重氢原子进入钯或钛晶体中可能引起常温核聚变的机理探讨与实验研究结果，已在文献［１］中作了报导。后来又对钛阴极材料，在使用前后进行了Ｘ射线结构分析。发现在电解过程中发生过“过热”现象的钛阴极材料的晶体结构由原来的密排六方结构转变为立方结构，而没有发生“过热”现象的钛阴极材料的晶体仍然保持电解前的密排六方结构     

Renormalization of potential scattering in a weakly interacting one-dimensional electron gas

The conductance of a weakly interacting electron gas in the presence of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction one can use a simple renormalization group approach instead of the standard bosonization technique. For a model with spinless electrons this approach allows us to show explicitly the crossover from the Fermi-gas to the low-temperature Luttinger liquid behavior. Deviations from the Luttinger liquid theory are studied for a realistic model of spin- electrons.     

拉曼光谱在医学上的应用（Ⅰ）

本文叙述了最近拉曼光谱在生物医学应用上的技术进步，总结了拉曼光谱在生物医学上的应用，以及它在诊断和临床应用中的作用     

ON DIRICHLET PROBLEMS FOR SECOND ORDER QUASILINEAR DEGENERATE ELLIPTIC EQUATIONS

The purpose of this paper is to study the existence of the classical solutions of some Dirichlet problems for quasilinear elliptic equations $$\[{a_{11}}(x,y,u)\frac{{{\partial ^2}u}}{{\partial {x^2}}} + 2{a_{12}}(x,y,u)\frac{{{\partial ^2}u}}{{\partial x\partial y}} + {a_{22}}(x,y,u)\frac{{{\partial ^2}u}}{{\partial {y^2}}} + f(x,y,u,\frac{{\partial u}}{{\partial x}},\frac{{\partial u}}{{\partial y}}) = 0\]$$ Where $\[{a_{ij}}(x,y,u)(i,j = 1,2)\]$ satisfy $$\[\lambda (x,y,u){\left| \xi \right|^2} \le \sum\limits_{i,j = 1}^2 {{a_{ij}}(x,y,u)} {\xi _i}{\xi _j} \le \Lambda (x,y,u){\left| \xi \right|^2}\]$$ for all $\[\xi \in {R^2}\]$ and $\[(x,y,u) \in \bar \Omega \times [0, + \infty ),i.e.\lambda (x,y,u),\Lambda (x,y,u)\]$ denote the minimum and maximum eigenvalues of the matrix $\[[{a_{ij}}(x,y,u)]\]$ respectively, moreover $$\[\lambda (x,y,0) = 0,\Lambda (x,u,0) = 0;\Lambda (x,y,u) \ge \lambda (x,y,u) > 0,(u > 0).\]$$ Some existence theorems under tire “ natural conditions imposed on $\[f(x,y,u,p,q)\]$ are obtained.     

Photoemission of LaI2 and CeI2

The electronic structure of the layered compounds LaI₂ and CeI₂ was investigated by photoemission and electron energy loss spectroscopy. From the experimental results we are able to confirm the metallic nature of these compounds, and by using photon energy dependent measurements of the valence band we can identify the orbital character of the conduction band as essentially 5d¹-like. A detailed analysis of the Ce 3d and 4f spectra yields a remarkably small 4f-5d hybridization strength, almost completely decoupling the f-electron from the conduction band, which makes CeI₂ a somewhat unusual system compared to other metallic Ce compounds. Band structure calculations by Jepsen and Andersen [1] confirm these experimental results.