不对称配位磷酸钴铵增强电催化水氧化反应性能（英文）

钴基材料被认为是有望替代贵金属材料的电催化水氧化反应催化剂之一.研究发现,高活性的钴基催化剂常发生表面重构行为,深入研究表面重构行为对于阐明真实的催化活性位点和指导合成高性能的电催化剂至关重要.但是受到复杂的催化剂结构以及多种性能影响因素限制,钴基材料的配位结构对表面重构和电催化水氧化性能影响仍不清晰.基于此,本文设计了具有配位对称结构和不对称结构的两种磷酸钴基材料用于电催化水氧化反应,探索配位对称性对表面重构和水氧化性能的影响.本文通过调控共沉淀反应中磷酸铵的用量,合成了具有对称配位结构的磷酸钴材料和不对称配位结构的磷酸钴铵材料.采用X射线衍射(XRD)、扫描电子显微镜(SEM)、透射电子显微镜(TEM)、X射线光电子能谱(XPS)和物理吸附等技术表征了两种材料的物理性质.通过线性扫描法,循环伏安法和恒电位电解法等电化学方法测定两种材料的电催化水氧化活性和稳定性.采用原位电化学阻抗图谱、拉曼光谱(Raman)和XPS图分析水氧化反应中的表面重构过程.晶体结构图表明,磷酸钴材料和磷酸钴铵材料均由六配位的Co O6八面体组成.其中,磷酸钴结构中钴中心由四个水分子和两个磷酸基团或两个水分子...     

一类截断Hankel算子的复对称性

截断Hankel算子是Hardy空间上的Hankel算子在模空间上的压缩.该文研究模空间上一类截断Hankel算子的复对称性,给出了完全刻画.所得结果表明,截断Hankel算子的复对称可能仅与模空间有关,也可能与模空间和算子的符号函数均相关.     

用高斯定理求电场的条件是满足环路定理

通过举例说明用高斯定理求电场的条件是:仅由对称性分析就能得出满足环路定理的电场形式.     

De-excitation Energy of Superdeformed Secondary Minima of Odd-Odd Au Isotopes and Its Sensitivity to the Density Dependence of Symmetry Energy

The de-excitation energy of superdeformed secondary minima of odd-odd Au isotopes is investigated using the relativistic mean field model with the inclusion of the isoscalar-isovector coupling. It is shown that the de-excitation energies of superdeformed secondary minima relative to the ground states can serve as a significant probe to the density dependence of the symmetry energy.     

Clebsch-Gordan系数的对称性

利用Schur引理确定了角动量耦合的Clebsch-Gordan系数按照其定义所允许的任意程度,然后利用正交归一关系和相位知识,导出了Clebsch-Gordan系数的对称性.     

广义对称性在积分计算中的应用

设f（P）是对称区域Ω上的连续函数,其中P∈Ω.若f（P）在Ω中各对称点处函数值的绝对值相等且符号相反时,∫Ωf（P）dΩ=0;当f（P）在Ω中各对称点处的函数值相等时,Ω∫f（P）dΩ=2Ω∫1f（P）dΩ,其中Ω1为Ω＂对称的一半＂.此结论称为积分的广义对称性.通过实例说明了利用此结论可以简化很多积分的计算.     

Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

This paper studies the Mei symmetry and Mei conserved quantity for nonholonomic systems of unilateral Chetaev type in Nielsen style. The differential equations of motion of the system above are established. The definition and the criteria of Mei symmetry, loosely Mei symmetry, strictly Mei symmetry for the system are given in this paper. The existence condition and the expression of Mei conserved quantity are deduced directly by using Mei symmetry. An example is given to illustrate the application of the results.     

Perturbation to Mei symmetry and Mei adiabatic invariants for mechanical systems in phase space

For a perturbed mechanical system in phase space, considering d/dt in the structure equation and process of proof including infinitesimal parameter ε obviously, this paper studies the perturbation to Mei symmetry and adiabatic invariants. Firstly, the exact invariant induced directly from the Mei symmetry of the system without perturbation is given. Secondly, based on the concept of high-order adiabatic invariant, the determining equations of the perturbation to Mei symmetry are established, the condition of existence of the Mei adiabatic invariant led by the perturbation to Mei symmetry is obtained, and its form is presented. Lastly, an example is given to illustrate the application of the results.     

静电场对强激光场非序列双电子电离的影响

利用半经典重碰模型计算并研究了He原子在强激光场与静电场的混合场下的非序列双电子电离过程. 由于静电场破坏了激光场电场的反演对称性，在平行于激光场偏振方向的He²⁺离子动量分布不再具有对称双峰结构. 由于超短脉冲具有相似的非对称性，研究静电场对原子在强场中非序列电离的影响，有助于分析超短脉冲非序列电离的过程，进一步了解非序列双电子电离的机理.