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.     

微推进器推力测试技术

对近年来微推进器(Microthruster)的推力测试技术和手段进行了较全面的综述，并对几种典型进行单脉冲冲量、平均推力等参数测量的推力测试系统和手段进行描述，分析各自的特点．文中对微推力测试过程中的细节进行了初步探讨、为未来微推进器推力测试和研究提供有益参考．     

定义在分形集上函数的H-导数

 分形的生成含有降维与升维两种形式,采用适当的方式总可以对分形集加以定向化,分形的内禀测度是Hausdorff测度。因此,定义在分形集上的函数可以看作是在Hausdorff测度下定义在区间[0, h]。在函数图像也是分形的前提下,依函数的Hausdorff测度的定义,给出了定义在分形集上的函数f(p)关于Hausdorff测度p的导数以及一些性质。     

Dinitrile compound containing ethylene oxide moiety with enhanced solubility of lithium salts as electrolyte solvent for high-voltage lithium-ion batteries

A dinitrile compound containing ethylene oxide moiety (4,7-dioxa-1,10-decanedinitrile, NEON) is synthesized as an electrolyte solvent for high-voltage lithium-ion batteries. The introduction of ethylene oxide moiety into the conventional aprotic aliphatic dinitrile compounds improves the solubility of lithium hexafluorophosphate (LiPF₆) used commercially in the lithium-ion battery industry. The electrochemical performances of the NEON-based electrolyte (0.8 M LiPF₆?+?0.2 M lithium oxalyldifluoroborate in NEON:EC:DEC, v:v:v?=?1:1:1) are evaluated in graphite/Li, LiCoO₂/Li, and LiCoO₂/graphite cells. Half-cell tests show that the electrolyte exhibits significantly improved compatibility with graphite by the addition of vinylene carbonate and lithium oxalyldifluoroborate and excellent cycling stability with a capacity retention of 97 % after 50 cycles at a cutoff voltage of 4.4 V in LiCoO₂/Li cell. A comparative experiment in LiCoO₂/graphite full cells shows that the electrolyte (NEON:EC:DEC, v:v:v?=?1:1:1) exhibits improved cycling stability at 4.4 V compared with the electrolyte without NEON (EC:DEC, v:v?=?1:1), demonstrating that NEON has a great potential as an electrolyte solvent for the high-voltage application in lithium-ion batteries.     

铬、钕双掺钆镓石榴石(Cr4+,Nd3+):Gd3 Ga5 O12激光晶体光学性能的研究

用提拉法生长了掺铬、钕的钆镓石榴石(Cr^4 ,Nd^3 ：GGG)自调Q激光品体。报道了室温下的吸收光谱和荧光光谱特性。分析了Cr离子浓度对光谱性质的影响。比较了Cr^4 ：GGG,Nd^3 ：GGG和(Cr^4 ,Nd^3 )：GGG晶体吸收光谱的关系。测量了(Cr^4 ,Nd^3 )：GGG晶体和Nd^3 ：GGG晶体的荧光寿命,它们分别是33μs和250μs。实验表明,(Cr^4 ,Nd^3 )：GGG晶体是一种非常有潜力的自调Q激光晶体,可以实现大功率激光器的小型化和全固态化。     

一种新型多功能信号源系统的设计

为适应航天领域遥测外系统的快速发展,提出了一种新型多功能信号源系统的设计。系统以FPGA为逻辑控制单元,采用PCI总线接口实现了与上位机的通信,同时结合AD5628、AQY210及RS422接口芯片稳定地输出了多路模拟信号、开关信号及一路PCM信号。重点阐述了信号源系统硬件及软件设计中的关键技术。试验结果表明,该系统能够提供多种高精度、高可靠性的信号,且工作性能稳定,抗干扰能力强,数据传输速率达到40Mbps,PCM码率高达983.04kbps,满足了系统设计的要求。     

异质结太阳电池硅衬底绒面陷光结构的优化

硅异质结(SHJ)太阳电池作为备受关注的新型高效太阳电池,是在单晶硅表面沉积非晶硅薄膜制备而成的。将绒面结构的单晶硅衬底应用于异质结太阳电池,可以减少光的反射,增强光吸收的效率,从而提高太阳电池短路电流密度。利用湿法化学腐蚀对单晶硅衬底表面进行制绒,通过优化影响绒面形貌的几个关键参数,包括异丙醇浓度、时间、衬底类型和硅酸钠的含量,最终通过在n型单晶硅衬底上制绒,使波长为1011 nm处最低反射率从制绒前的34.7%降低到了9.14%,将制绒衬底应用到异质结太阳电池上,短路电流由32.06 m A/cm-2提升到36.16 m A/cm-2,有效地改善了SHJ太阳电池的性能。     

Ti:sapphire laser pumped high average power laser crystal Nd:GGG with high efficiency output

High-quality neodymium doped GGG laser crystals have been grown by Czochralski (Cz) method. Results of Nd:GGG thin chip laser operating at 1.064 μm pumped by Ti:sapphire laser operating at 808 nm were reported. The slop efficiency was as high as 20%.     

Bent Phosphaallenes With “Hidden” Lone Pairs as Ligands

Phosphaheteroallenes R−P=C=L, with L = N-heterocyclic carbenes (NHCs), can be viewed to a certain extent as phosphaisonitriles stabilized with NHCs, R−P=C:←L. The suitability of these molecules as ligands for coinage-metal ions was investigated and coordination through the central carbon center was observed in most cases. A combination of experiments, spectroscopic methods, and DFT calculations indicates the presence of a hidden electron pair at the carbon center of R−P=C:←L. Remarkably, this lone pair also inserts intramolecularly in C−H bonds showing the carbene-type reactivity which is expected for phosphaisonitriles.     

关于混合模式色谱固定相对蛋白保留特征的研究

为使混合机理色谱(MMC)得到广泛地应用, 合成、表征和评价MMC固定相就成了首先要解决的问题. 依据离子交换色谱柱也具有疏水色谱(HIC)保留机理的特征, 选了4种弱阳离子交换(WCX)柱和一根二维[2D(WCX,HIC)]色谱柱, 研究了标准蛋白在这两类色谱柱上的保留行为. 这四种WCX色谱柱中的两种能在WCX和HIC两种分离模式下分离蛋白, 虽不如2D色谱柱效果好, 但有可能当成“准2D柱”来使用. 发现蛋白在这四种WCX柱上所显示的HIC分离特征各不相同, 且保留值随盐浓度变化呈现出的“U型”曲线也有大的差异. 实验结果显示, “U型”曲线的宽度和临界点分别与色谱动力学和热力学因素相关. 还对这两类色谱固定相的峰容量表征方法和命名提出了建议和说明.