北京谱仪桶部簇射计数器能量响应特性研究

在北京正负电子对撞机的J/ψ和Ds能区,选择了辐射巴巴事例,并以此来研究北京谱仪的桶部簇射计数器能量响应特性.在消除了由于电子和辐射光子在桶部簇射计数器中沉积能量区域重叠的影响后,正确地得到了桶部簇射计数器在电子和光子动量小于2GeV以下的能量响应,表明在所研究能区,桶部簇射计数器的能量响应线性很好.对桶部簇射计数器微小的非线性进行修正后,重建的π0不变质量谱得到改善.     

芳氧端基的聚二甲基硅氧烷

通过酚类与六甲基环三硅氧烷（Ｄ３）的调聚反应，首先合成了一类含芳氧端基的聚二甲基硅氧烷（ＡＯＳ）．采用ＵＶ、ＩＲ、１ＨＮＭＲ、元素分析、分子量测定等方法，确证了所合成聚合物的结构．讨论了反应试剂摩尔比和反应条件对调聚产物分子量的影响；研究了ＡＯＳ的结构与杀菌功能、絮凝作用以及水解速度的关系．     

Preparation and electrophilic cyclization of multisubstituted dienamides leading to cyclic iminoethers

Stereodefined multisubstituted dienamides could be concisely prepared in high yields by direct addition of 1-lithiobutadiene derivatives to both N-aryl and N-alkyl isocyanates. Electrophilic cyclization of these dienamides was achieved to generate substituted cyclic iminoethers in excellent yields with perfect selectivity. When treated with 12 N aqueous HCl, dienamides underwent efficient and selective electrophilic cyclization to afford cyclic imidate derivatives. When treated with NBS, monobrominated or double-brominated cyclic iminoethers were formed.     

The rearrangement route to 3-carboxy- and 3-hydroxymethyl-2-azabicyclo[2.1.1]hexanes: 3,5-methanoprolines

Improved stereocontrolled syntheses of 5-anti-hydroxy-3-exo-methoxycarbonyl-2-azabicyclo[2.1.1]hexanes have been effected from pyridine. The key step in the electrophilic addition-rearrangement of 2-azabicyclo[2.2.0]hex-5-ene precursors incorporates either a 3-endo-phenyl group, as an acid precursor, or a 3-endo-phenyldimethylsilylmethyl group, as a potential hydroxymethyl and acid precursor.     

Note on a conjecture for the sum of signless Laplacian eigenvalues

For a simple graph G on n vertices and an integer k with 1 ? k ? n, denote by \(\mathcal{S}^+_k\) (G) the sum of k largest signless Laplacian eigenvalues of G. It was conjectured that \(\mathcal{S}^+_k(G)\leqslant{e}(G)+(^{k+1}_{\;\;2})\) (G) ? e(G) + (k+1 2), where e(G) is the number of edges of G. This conjecture has been proved to be true for all graphs when k ∈ {1, 2, n ? 1, n}, and for trees, unicyclic graphs, bicyclic graphs and regular graphs (for all k). In this note, this conjecture is proved to be true for all graphs when k = n ? 2, and for some new classes of graphs.     

Randomized preprocessing versus pivoting

It is known that without pivoting Gaussian elimination can run significantly faster (particularly for matrices that have structures of Toeplitz or Hankel types), but becomes numerically unsafe. The known remedies take their toll, e.g., symmetrization squares the condition number of the input matrix. Can we fix the problem without such a punishment? Taking this challenge we combine randomized preconditioning techniques with iterative refinement and prove that this combination is expected to make pivoting-free Gaussian elimination numerically safe while keeping it fast. For matrices having structures of Toeplitz or Hankel types transition to Gaussian elimination with no pivoting decreases arithmetic time bound from cubic to nearly linear, and our tests show dramatic decrease of the CPU time as well.     

Quasi-periodic Solutions of the Kaup–Kupershmidt Hierarchy

Based on solving the Lenard recursion equations and the zero-curvature equation, we derive the Kaup–Kupershmidt hierarchy associated with a 3×3 matrix spectral problem. Resorting to the characteristic polynomial of the Lax matrix for the Kaup–Kupershmidt hierarchy, we introduce a trigonal curve $\mathcal {K}_{m-1}$ and present the corresponding Baker–Akhiezer function and meromorphic function on it. The Abel map is introduced to straighten out the Kaup–Kupershmidt flows. With the aid of the properties of the Baker–Akhiezer function and the meromorphic function and their asymptotic expansions, we arrive at their explicit Riemann theta function representations. The Riemann–Jacobi inversion problem is achieved by comparing the asymptotic expansion of the Baker–Akhiezer function and its Riemann theta function representation, from which quasi-periodic solutions of the entire Kaup–Kupershmidt hierarchy are obtained in terms of the Riemann theta functions.     

Dual Graphitic‐N Doping in a Six‐Membered C‐Ring of Graphene‐Analogous Particles Enables an Efficient Electrocatalyst for the Hydrogen Evolution Reaction

Graphene‐based materials still exhibit poor electrocatalytic activities for the hydrogen evolution reaction (HER) although they are considered to be the most promising electrocatalysts. We fabricated a graphene‐analogous material displaying exceptional activity towards the HER under acidic conditions with an overpotential (57 mV at 10 mA cm^?2) and Tafel slope (44.6 mV dec^?1) superior to previously reported graphene‐based materials, and even comparable to the state‐of‐the art Pt/C catalyst. X‐ray absorption near‐edge structure (XANES) and solid‐state NMR studies reveal that the distinct feature of its structure is dual graphitic‐N doping in a six‐membered carbon ring. Density functional theory (DFT) calculations show that the unique doped structure is beneficial for the activation of C?H bonds and to make the carbon atom bonded to two graphitic N atoms an active site for the HER.     

二维金属-六亚氨基苯框架材料的气体吸附效应

利用密度泛函理论研究了气体分子(NH₃, H₂O, H₂S, NO₂)吸附在二维M₃(HIB)₂(M=Ni, Cu; HIB为六亚氨基苯)薄膜上体系的几何结构和电子结构的变化. 结果表明, 2种薄膜对气体分子的响应不同. 其中NH₃, H₂O和H₂S在M₃(HIB)₂薄膜表面的吸附较弱, 主要与薄膜的亚氨基形成氢键, 吸附能均小于-0.36 eV, 吸附对体系电子性质的影响很小. 但是 NO₂分子在薄膜表面形成化学吸附, 吸附能在-0.65~-1.72 eV范围内. 吸附NO₂分子使其电子结构发生明显改变, 如Cu₃(HIB)₂在费米能级处打开带隙, 由金属性质转变为半导体性质. 这是由于NO₂分子的p_z轨道与金属原子$d_{z}^{2}$ 轨道发生了强烈的轨道杂化. 此外, 研究发现高浓度的NO₂分子吸附能够使Ni₃(HIB)₂薄膜由非磁性变为磁性体系, 由普通金属性质变为半金属性质; 而高浓度的NO₂分子使Cu₃(HIB)₂薄膜由金属性质变为半导体性质, 薄膜电导率降低.     

Sandwich-like SnO2/MoO3−x prepared by electrostatic self-assembly for high-performance photocatalysis

Research on Chemical Intermediates - Sandwich-structured SnO2/MoO3?x has been successfully synthesized through electrostatic self-assembly. The crystal structure, morphology, size and...