Ab Initio Study of the Mechanism of Forming a Spiro-Si-heterocyclic Ring Compound Involving Ge from Cl_2Ge=Si:and Formaldehyde

The X2Ge=Si:(X = H, Me, F, Cl, Br, Ph, Ar···) is a new species. Its cycloaddition reaction is a new area for the study of silylene chemistry. The mechanism of cycloaddition reaction between singlet Cl2Ge=Si: and formaldehyde has been investigated with CCSD(T)//MP2/6-31G* method. From the potential energy profile, it can be predicted that the reaction has two competitive dominant reaction pathways. The reaction rule presented is that the two reactants firstly form a four-membered Ge-heterocyclic ring silylene through the [2+2] cycloaddition reaction. Owing to the 3p unoccupied orbital of Si: atom in the four-membered Ge-heterocyclic ring silylene and the π orbital of formaldehyde forming a π→p donor-acceptor bond, the four-membered Ge-heterocyclic ring silylene further combines with formaldehyde to form an intermediate. Because the Si: atom in intermediate shows sp3 hybridization after transition state, the intermediate isomerizes to a spiro-Si-heterocyclic ring compound involving Ge via a transition state. Simultaneously, the ring strain of the four-membered Ge-heterocyclic ring silylene makes it isomerize to a twisted four-membered ring product. The research result indicates the laws of cycloaddition reaction between X2Ge=Si:(X = H, Me, F, Cl, Br, Ph, Ar···) and the asymmetric π-bonded compounds, which are significant for the synthesis of small-ring and spiro-Si-heterocyclic ring compound involving Ge. The study extends the research area and enriches the research content of silylene chemistry.     

不同受限状态下链硫醇的非线性光学响应

以和频(SFG)振动光谱技术探测了正十二硫醇(DDT)在不同受限状态下的分子振动信号, 包括金属基底上的自组装单层(SAM)分子, 放置在二氧化硅基底上的表面DDT化的金纳米粒子以及金纳米粒子的甲苯溶液. 在三种状态下都探测到了来自于DDT分子的振动光谱, 振动光谱的区别提供了在不同受限态下DDT分子的结构信息. 在金属基底上DDT分子排列规整, 放置在二氧化硅基底上的金纳米粒子表面的DDT分子具有一定的柔性, 在空气-甲苯溶液界面金纳米粒子表面的DDT分子高度无序. 此外, 光谱实验显示, 金纳米粒子表面的分子振动信号产生了局域场增强的效应, 相对于金基底上的自组装单层分子而言, 增强系数为10²-10³, 取决于光谱的偏振组合.     

基于三相球模型确定泡沫塑料有效模量

通过复合材料三相球模型确定泡沫塑料的体积模量、剪切模量、杨氏模量和泊松比等材料等参数与材料孔隙比的关系，并将该文结果同微分法得到的结果进行了对比；结果表明：三相球模型确定的材料参数在相同孔隙比情况下，一般都高于微分法确定的结果，两种方法得到的有效剪切模量和杨氏模量差异较小，而体积模量和泊松比则差异较大，然而，由三相球模型确定的泡沫塑料杨氏模量仍可与实验较好地符合。此外，该文结果也同现有的理论及实验     

Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

Based on the elongated Kelvin obtained to investigate the tensile behavior Kelvin model＇s periodicity and symmetry in model, a simplified periodic structural cell is of anisotropic open-cell elastic foams due to the whole space. The half-strut element and elastic deflection theory are used to analyze the tensile response as done in the previous studies. This study produces theoretical expressions for the tensile stress-strain curve in the rise and transverse directions. In addition, the theoretical results are examined with finite element simulation using an existing formula. The results indicate that the theoretical analysis agrees with the finite element simulation when the strain is not too high, and the present model is better. At the same time, the anisotropy ratio has a significant effect on the mechanical properties of foams. As the anisotropy ratio increases, the tensile stress is improved in the rising direction but drops in the transverse direction under the same strain.     

斜Toeplitz算子的乘积和交换性

In this paper, the product and commutativity of slant Toeplitz operators are discussed. We show that the product of kth1-order slant Toeplitz operators and kth2-order slant Toeplitz operators must be a (k1k2) th-order slant Toeplitz operator except for zero operators, and the commutativity and essential commutativity of two slant Toeplitz operators with different orders are the same.     

Abelian正则环的零因子图

We introduce the zero-divisor graph for an abelian regular ring and show that if R, S are abelian regular, then (K0(R),[R])≌(K0(S),[S])if and only if they have isomorphic reduced zero-divisor graphs. It is shown that the maximal right quotient ring of a potent semiprimitive normal ring is abelian regular,moreover,the zero-divisor graph of such a ring is studied.     

SO_4~(-2)/Fe_2O_3-Al_2O_3纳米固体酸的红外光谱研究

用 IR光谱研究了 SO2 -4 / Fe2 O3- Al2 O3纳米固体酸在不同焙烧温度下表面结构与酸性的变化 ,结果表明 ,当焙烧温度在 4 5 0— 5 0 0℃时 ,双齿螯合配位结构特征谱带齐全 ,酸性强 ,小于 4 5 0℃时 ,双齿螯合配位特征谱带不齐全 ,酸性不强 ,而大于 5 0 0℃时 ,随着温度的升高 ,特征谱带区域宽化 ,特征峰消失 ,酸性变弱。此外 ,从 Fe- O纳米颗粒的特征振动带显示可得知 ,样品的粒径小于 30 nm。     

物理教学中的调控与反思

物理教学可用控制论、系统论和信息论的有关理论、思想和方法予以理解和指导,本文就物理教学的调整控制问题从控制论的角度予以阐述,并提出根据控制系统的反馈信息,采取有效的纠偏措施,进行反思性教学,使教与学更好地配合,提高物理教学的实际效果。     

Temperature Effect on Single Bubble Sonoluminescence

Experiments of the temperature effect on single bubble sonoluminescence (SBSL) are performed with a mixture of water and anti-freeze.Since experiments of constant pressure (keeping sound pressure constant) are not feasible for a wide temperature range,experiments of constant luminance (keeping light intensity stable),which reflect pure sensitivity of SBSL to temperature,are investigated.The results show that lower temperature needs less pressure to obtain the same light intensity,which means that lower temperature is better for SBSL.Numerical calculations show a qualitative agreement with experiments.     

Dirichlet空间上的Toeplitz算子

本文研究了Dirichlet空间上的Toeplitz算子,部分的回答了文[1]中的问题,给出了关于Dirichlet空间上Toeplitz算子的一个稠密性定理。