An Addendum to Birkhoff's Theorem

In spherically symmetric systems, in spite of Birkhoff's Theorem, the rates of clocks in vacuum regions on either side of moving mass shells must be continually readjusted to stay in synchrony. This shows up as time-dependence of the metric in terms of the globally meaningful time coordinate.     

A Self-Similar Dynamics in Viscous Spheres

We study the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically symmetric space-time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We then obtain a system of two ordinary differential equations which rule the dynamics, and find a self-similar collapse which is shear-free and with a barotropic equation of state. Considering a huge set of initial self-similar dynamics states, we work out a model with an acceptable physical behavior.     

Pre-relaxation Processes in a Radiating Relativistic Sphere

The influence of processes occurring before the system relaxes into diffusion, on the evolution of a radiating sphere, is exhibited in a specific example. The luminosity profiles, and consequently the general evolution of the object, are shown to be quite sensitive to the value of relaxation time.     

确定硼烷的杂硼烷价成键轨道对称性的拓扑方法

本文通过对硼烷的分子轨道的定域化分析, 建立了由硼烷或杂硼烷的骨架多面体的几何性质, 确定其价成键轨道对称性的拓扑方法。从以多面体骨架的三角面和缺顶点周围的边为基约化出的不同约表示中, 按建议的能量与节面数的对应规则,选定出分子的价成键轨道所属的不可约表示。     

Perfect Fluids: Field-theoretical Description and Gauge Symmetry Issue

We show that combinations of (in general,non-linear) two- and threeform fields, analogous to theMaxwell (one-form) field, completely describe perfectfluids, including the rotating ones. In the non-rotating case, the two-form field is sufficient, and afree three-form field proves to be equivalent toappearance of the cosmological term in Einstein'sequations (the square-root non-linearity correspondingto = 0). The gauge degrees of freedombreak down when a rotation is included, but even whenthey exist, there fails to be realized an equivalence ofthe two-form field and the massless scalar one recently claimed by Weinberg.     

Thermodynamic Equilibrium in the Expanding Universe

We show that a relativistic gas may be at"global" equilibrium in the expanding universe for anyequation of state 0 < p /3, provided thatthe gas particles move under the influence of aself-interacting, efiective one-particle force in between elasticbinary collisions. In the force-free limit we recoverthe equilibrium conditions for ultrarelativistic matterwhich imply the existence of a conformal timelike Killing vector.     

固态二乙炔拓扑聚合反应动力学的量子化学研究

利用协同反应模型和EHCO-ASED量子化学方法, 对固态二乙炔的拓扑聚合反应:MDA(Molecular diacetylenes)→PBT(Polybutatrienes)→PDA(Polydiacetylenes)的势能曲线进行了计算, 并对其轨道对称性以及能隙随反应坐标的变化进行了分析; 很好地解决了文献中用Woodward-Hoffmann轨道对称守恒原理对此反应进行分析时所遇到的问题, 指出了此反应是热允许的原因。     

金属-金属键形成反应的研究: [η^5-RO~2CC~5H~4(CO)~3M]~2Hg(R=Me,Et;M=Cr,Mo,W)的合成及鉴定

η^5-RO~2CC~5H~4(CO)~3MNa与R^1HgCl,R^1=Me, Et, Ph)可发生一种非预期的金属键形成反应, 生成[η^5-RO~2CC~5H~4(CO)~3M]~2Hg(R=Me,Et;M=Cr,Mo,W)。对反应中间物η^5-EtO~2CC~5H~4(CO)~3MoHgPh的研究表明: 反应是按缩合及对称化两步机理进行的。(R=Et,M=Mo)属三斜晶系, 空间群P-1。a=0.6333(1), b=0.7712(1), c=1.4204(4)nm; a=77.31(1),β=74.51(2), γ=68.72(1)^°; V=0.61714nm^3;Z=1;D~x=2.246g/cm^3;R=0.044。     

树脂担载金催化剂催化氧化羰化胺制对称二脲

树脂担载金催化剂可以高效、高选择性地催化氧化羰化胺制取对称二脲。例如,在使用苯胺作为反应物时,其转化频率达到了1475,选择性达到了99%。此反应中不需要加入其它溶剂,避免了溶剂引起的污染问题,同时催化剂与反应体系易分离,能够得到高纯度的产物。