水热法合成ReMn2O5(Re=Gd，Sm，Yb)纳米粉体

本文采用水热法,以KMnO4和Mn(C2H3O2):为锰源,在250℃反应24 h合成了高各向异性的GdMn2O5、SmMn2O5和YbMn2O5纳米粉体.利用X射线粉末衍射(XRD)、扫描电子显微镜(SEM)、透射电子显微镜(TEM)、选区电子衍射(SAED)、和高分辨透射电镜(HRTEM)对产物的结构和形貌进行了表征.结果表明,所制备的ReMn2O5(Re=Gd,Sm,Yb)均为正交相结构.反应溶液中碱性矿化剂浓度对产物的形貌和尺寸有重要的影响.通过实验结果分析了纳米结构的形成机理.     

时间序列中向量自回归模型的拟合优度检验

本文提出并研究了一些诊断检验工具,用于一般参数型的时间序列向量自回归模型的拟合优度检验．该检验在零假设下渐近服从卡方分布,并能侦察到以参数速度收敛到零假设模型的备择模型．检验涉及到权函数,因此可以灵活地选择权函数以提高检验功效,尤其是在可能的偏离方向已知情形．如果备择不是方向型的,而只知道其属于某一个模型类中,此时可构造一个渐近分布自由的极大极小（maximin）检验．对于饱和备择,基于得分型思想给出了构造万能（omnibus）检验的可行性构想．本文对提出的检验从理论上进行了功效研究．另外,为提高检验在小样本情形的功效,本文把非参数Monte Carlo检验方法推广到相依数据情形．最后,通过模拟研究和实际数据分析进一步表明检验的有用性．     

Integrated and Unintegrated Parton Distributions

We compare the twist-2 and twist-4 parton distributions both in integrated and unintegrated parton distributions. We find that when x decreases the difference between the twist-2 and twist-4 parton distributions become obvious except for the valence quark distributions. We hope the future experiments may distinguish whether the twist-4 correction is needed or not and select a reasonable unintegrated parton distribution model.     

Dynamic models of pest propagation and pest control

This paper proposes a pest propagation model to investigate the evolution behaviours of pest aggregates. A pest aggregate grows by self-monomer birth, and it may fragment into two smaller ones. The kinetic evolution behaviours of pest aggregates are investigated by the rate equation approach based on the mean-field theory. For a system with a self-birth rate kernel I(k)=Ik and a fragmentation rate kernel L(i,j)=L, we find that the total number M₀^A(t) and the total mass of the pest aggregates M₁^A(t) both increase exponentially with time if L ≠ 0. Furthermore, we introduce two catalysis-driven monomer death mechanisms for the former pest propagation model to study the evolution behaviours of pest aggregates under pesticide and natural enemy controlled pest propagation. In the pesticide controlled model with a catalyzed monomer death rate kernel J₁(k)=J₁k, it is found that only when I<J₁B₀ (B₀ is the concentration of catalyst aggregates) can the pests be killed off. Otherwise, the pest aggregates can survive. In the model of pest control with a natural enemy, a pest aggregate loses one of its individuals and the number of natural enemies increases by one. For this system, we find that no matter how many natural enemies there are at the beginning, pests will be eliminated by them eventually.     

新型喹唑啉酮衍生物的合成

以醛、 丙二腈和酮为起始原料, 在乙酸铵的催化下一锅合成了2,6-二氰基苯胺衍生物3, 化合物3在NaOH催化下, 与酮经过分子内Pinner反应到Dimroth重排组合转化, 得到新型多取代喹唑啉酮衍生物5. 化合物5的结构经IR, ¹H NMR, ¹³C NMR和MS表征. 喹唑啉酮衍生物是一系列药物的重要中间体.     

Majorana零模式的电导与低压振荡散粒噪声

Majorana零能量模式是自身的反粒子,在拓扑量子计算中有重要应用.本文研究量子点与拓扑超导纳米线混合结构,通过量子点的输运电荷检测Majorana零模式.利用量子主方程方法,发现有无Majorana零模式的电流与散粒噪声存在明显差别.零模式导致稳态电流差呈反对称,在零偏压处显示反常电导峰.电流差随零模式分裂能的增大而减小,随量子点与零模式耦合的增强而增大.另一方面,零模式导致低压散粒噪声相干振荡,零频噪声显著增强.分裂能导致相干振荡愈加明显且零频噪声减小,而量子点与零模式的耦合使零频噪声增强.当量子点与电极非对称耦合时,零模式使电子由反聚束到聚束输运,亚泊松噪声增强为超泊松噪声.稳态电流差结合低压振荡的散粒噪声能够揭示Majorana零模式是否存在.     

SiC纤维增强Ti17合金复合材料轴向残余应力的拉曼光谱和X射线衍射法对比研究

准确测量和分析SiC纤维增强Ti合金复合材料(SiC_f/Ti)中残余应力状态对优化复合材料的成型工艺和理解其失效模式具有重要意义,但其残余应力的实验测量和分析仍是一个挑战.石墨C涂层作为SiC纤维与Ti17基体合金之间必需的扩散障涂层,承载了由纤维与基体之间热不匹配引入的残余应力.本文采用显微拉曼光谱法对比测量纤维表面C涂层在复合材料中和去掉基体无应力态下G峰的峰位,通过石墨C涂层应力态下峰位移动计算出SiCf/C/Ti17复合材料中SiC纤维受到～705.0 MPa的残余压应力.采用X射线衍射方法测量了不同方向上该复合材料中基体钛合金的晶面间距以获取其空间应变,根据三轴应力模型分析了复合材料中基体钛合金沿轴向方向的残余应力为～701.3 MPa的张应力,并通过线性弹性理论转化为SiC纤维的残余压应力为～759.4 MPa.两种测试方法都确定了SiC纤维在成型过程中受到残余压应力,且获得的应力值较为接近,都可以用于对SiC_f/Ti复合材料的残余应力测量.     

GaN基薄膜半导体材料不同非线性效应的竞争关系

采用金属有机化合物化学气相沉积方法生长了未掺杂GaN,p型Mg掺杂GaN,InGaN/GaN多量子阱等薄膜半导体材料,研究了其在800 nm飞秒激光激发下的非线性光学性质.实验结果表明,在800 nm飞秒激光激发下,多光子荧光、二次谐波等非线性光学信号之间存在着竞争关系,反映出不同非线性光学信号对激发光的能量分配存在着竞争,并通过其非线性光学信号强度与激发强度之间的依赖关系进行了验证.同时,本文对其竞争机理进行了初步探究.     

General Quantum Meet-in-the-Middle Search Algorithm Based on Target Solution of Fixed Weight

Similar to the classical meet-in-the-middle algorithm, the storage and computation complexity are the key factors that decide the efficiency of the quantum meet-in-the-middle algorithm. Aiming at the target vector of fixed weight, based on the quantum meet-in-the-middle algorithm, the algorithm for searching all n-product vectors with the same weight is presented, whose complexity is better than the exhaustive search algorithm. And the algorithm can reduce the storage complexity of the quantum meet-in-the-middle search algorithm. Then based on the algorithm and the knapsack vector of the Chor-Rivest public-key crypto of fixed weight d, we present a general quantum meet-in-the-middle search algorithm based on the target solution of fixed weight, whose computational complexity is ∑_j^d=(0(√C_n-k+1^d-j)+O(C_k^jlogC_k^j)) with ∑_i=0^dC_kⁱ memory cost. And the optimal value of k is given. Compared to the quantum meet-in-the-middle search algorithm for knapsack problem and the quantum algorithm for searching a target solution of fixed weight, the computational complexity of the algorithm is lower. And its storage complexity is smaller than the quantum meet-in-the-middle-algorithm.     

内部窗口结构对开孔矩形腔体近场屏蔽效能的影响

针对开孔屏蔽腔体内置窗口的结构特点,采用扩展的传输线方法理论,建立了电偶极子天线照射下计算近场屏蔽效能的等效电路模型,推导了近似计算解析式,并计算分析了内部窗口结构对开孔腔体近场屏蔽效能的影响.结果表明:含内置窗口结构腔体的近场电场屏蔽效能小于远场屏蔽效能,腔体屏蔽效能随窗口宽度的减小而增大,电感窗口使得腔体谐振频率向上偏移,电容窗口使其谐振频率向下偏移.分析结果与CST仿真结果进行了对比,证实本文采用的等效电路方法是有效的.