局部对称共形平坦黎曼流形中具有平行平均曲率向量的子流形

本文把[1]的结论推广到了环绕空间是局部对称共形平坦的情形,即获得了:设M~是局部对称共形平坦黎曼流形N~+p(p>1)中具有平行平均曲率向量的紧致子流形,如果则M~位于N~+p的全测地子流形N~+1中。其中S,H分别是M~的第二基本形式长度的平方和M~的平均曲率,T_C、t_c分别是N~+p的Ricci曲率的上、下确界,K是N~+p的数量曲率。     

基于有限差分光束传播法的过渡波导功耗分析

为了在既定尺寸下减小斜坡波导和弯曲波导的功耗，设计了4种过渡波导形状函数。用有限差分光束传播法(FD-BPM)进行了模拟分析，发现过渡波导形状的选取与坡度和曲折角存在条件有关，并给出了条件表达式及其详细说明。     

Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.     

电磁学中矢量点叉积的积分运算

电磁学的教学实践中,矢量点叉积的积分运算随处可见,令许多同学望而生畏.为解决这一问题,对电磁学中所涉及的矢量积分进行了归类,发现无非是点积、叉积、混合积的积分,并举例说明了积分运算的方法,尤其是引入了右正交标架.     

Al2O3/蒙脱土:Eu2+架状结构发光材料的制备及发光性能研究

采用高温固相法,在还原气氛下制备出Al2O3/蒙脱土:Eu2+光致发光材料。研究了原料配比、烧结温度、保温时间以及激活剂Eu2+的含量对发光性能的影响。实验结果表明:加入蒙脱土后,所制备的样品仍保持Al2O3的架状结构,晶格常数发生变化,晶体产生畸变,使得Eu2+更容易进入到晶格中。荧光光谱分析显示,发射光谱是两个宽峰组成,对应于Eu2+的4f65d→4f7(8S7/2)宽带允许跃迁。发光机制分析认为,宽峰结构由Eu0.92[Al1.76Si2.24O8]新相产生,生成的新相增加了Eu2+的取代格位,形成新的发光中心。因此Eu2+不仅取代了Al2O3八面体中Al的格位,而且取代了蒙脱土层间所吸附的阳离子格位,使样品发光强度提高了220%。     

Hilbert空间中连续广义标架的和

基于Hilbert空间标架理论,借助算子工具,用己有连续广义标架构造了新连续广义标架,并给出了有限个连续广义标架和构成新连续广义标架的充要条件,为构造连续广义标架提供了新方法。     

乏燃料贮存格架跌落事故冲击分析和试验验证

乏燃料贮存格架是核电厂贮存乏燃料的重要设备,在满载条件下和地震/跌落事故中,都应保持稳定和安全状态．本文基于LS-DYNA对乏燃料贮存格架进行了跌落事故冲击分析,考虑了最重重物从可能最高处意外跌落的情况．分析时考虑了碰撞、几何大变形、材料非线性等非线性因素．分析发现,浅跌落情况下贮存格架变形较大,但为局部变形,冲击载荷不影响贮存格架的安全功能．深跌落情况下,组件跌落在支座上方时支座承受的载荷最大,并在许用载荷范围内．为确保核电厂安全性和可靠性,基于分析得到的现象,设计和开展了乏燃料贮存格架浅跌落和深跌落试验．试验采用了等比例贮存腔和真实燃料组件的管座．同时对试验件进行了跌落分析,并与试验结果进行了对比,验证了分析技术的保守性和准确性．掌握的分析技术可应用于所有压水堆核电站乏燃料贮存格架的跌落事故分析．     

中国海大陆架沉积物超细标准物质系列研制

5个中国海大陆架沉积物标准物质的原样分别取自东海和南海,样品风干后,先经球磨制备成200目的均匀粉体,再用气流磨进一步加工成超细粒度的均匀样品.采用激光粒度仪检测了样品的粒度分布,5个样品的平均粒度均小于4 μm(约800目).采用高精度的XRF检验了样品的均匀性并以高灵敏度的ICP-AES、ICP-MS相配合确定了其最小取样量(5 mg).有12个实验室参加了合作定值研究,定值组分均为60个,其中MSCS-1,2分别有50和51个组分定为标准值,MSCS-3,4,5有52个组分定为标准值.全组分百分总和分别为99.9%, 99.9%, 100.4%, 100.1%和99.7%.     

Ab Initio Study on the Mechanism of Cycloaddition Reaction between Silylene Carbene （H_2Si=C：） and Acetone

The mechanism of cycloaddition reaction between singlet silylene carbene and acetone 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. One consists of two steps: (1) the two reactants (R1, R2) firstly form a four-membered ring intermediate (INT4) through a barrier-free exothermic reaction of 585.9 kJ/mol; (2) Then intermediate (INT4) isomerizes to CH3-transfer product (P4.1) via a transition state (TS4.1) with energy barrier of 5.3 kJ/mol. The other is as follows: on the basis of intermediate (INT4) created between R1 and R2, intermediate (INT4) further reacts with acetone (R2) to form the intermediate (INT5) through a barrier-free exothermic reaction of 166.3 kJ/mol; Then, intermediate (INT5) isomerizes to a silicic bis-heterocyclic product (P5) via a transition state (TS5), for which the barrier is 54.9 kJ/mol. The presented rule of this reaction: the [2+2] cycloaddition effect between the π orbital of silylene carbene and the π orbital of π-bonded compounds leads to the formation of a four-membered ring intermediate (INT4); The unsaturated property of C atom from carbene in the four-membered ring intermediate (INT4) results in the generation of CH3-transfer product (P4.1) and silicic bis-heterocyclic compound (P5).     

汾渭盆地地裂缝成因研究中的若干关键问题

汾渭盆地是我国地裂缝发育最强烈的地区,地裂缝类型多样,成因复杂。本文概述了汾渭盆地地裂缝的分布规律,分析了目前汾渭盆地地裂缝成因研究中存在的主要问题,重点围绕构造型地裂缝的成因问题,提出如下研究思路:通过多学科联合手段,重点研究汾渭盆地地裂缝灾害的分布规律及其与活动构造的分布关系与成生联系,建立构造地裂缝的地质结构模型;将现代物理数值模拟技术与高精度观测技术相结合,分析研究构造活动启动地裂缝灾害的力学机理以及构造作用与抽水作用耦合致裂机理;以GPS观测资料为约束,将汾渭盆地地裂缝的成生与青藏、华北大陆变形的动力学过程联系起来,研究该区地裂缝与现今中国大陆动力学的内在联系,揭示大陆驱动力产生地质灾害的动力学机制与模式。