有向全图的幂敛指数和周期

设G是有向图,T(G)表示G的有向全图.本文得到了它们的幂敛指数k(G)和k(T)之间的关系:对任何有向图G,周期p(T(G))=1;当G是本原图时,k(T)≤k(G)+1,文中给出了取得k(G)+1的两类图;当G是无圈图时,k(T)=2k(G)-1,当G是有向圈时,k(T)=2|V(G)|-1,当G是强连通时得到了k(T)的一些估计.     

蛋白质直接电化学研究及其应用

蛋白质直接电化学研究在生物电化学中具有重要地位,对于蛋白质结构-功能研究、蛋白质电子传递过程的热力学和动力学研究都有着重要意义,而且是研制第三代电化学生物传感器的基础.本文对在裸电极、分子自组装修饰电极和模拟生物膜修饰电极上进行蛋白质直接电化学的研究及相关应用进行简要综述.     

聚醚桥连二异羟肟酸单核和双核过渡金属配合物催化PNPP水解

Two polyether bridged dihydroxamic acids and their mono-and binuclear manganese(Ⅱ), zinc(Ⅱ) complexes have been synthesized and employed as models to mimic hydrolase in catalytic hydrolysis of p-nitrophenyl picolinate (PNPP). The reaction kinetics and the mechanism of hydrolysis of PNPP have been investigated. The kinetic mathematical model for PNPP cleaved by the complexes has been proposed. The effects of the different central metal ion, mono-and binuclear metal, the pseudo-macrocyclic polyether constructed by polyethoxy group of the complexes, and reactive temperature on the rate for catalytic hydrolysis of PNPP have been examined. The results showed that the transition metal dthydroxamates exhibited high catalytic activity to the hydrolysis of PNPP, the catalytic activity of binuclear complexes was higher than that of mononuclear ones, and the pseudo-macrocyclic polyether might synergetically activate H20 coordinated to metal ion with central metal ion together and promote the catalytic hydrolysis of PNPP.     

高精度中红外大气C_2H_6传感系统的研制

C_2H_6作为温室气体之一,对光化学污染的产生和臭氧层的破坏具有促进作用。C_2H_6在大气中的含量极低,对传感器的探测精度具有较高要求。报道了一种使用中红外连续波长带间级联激光器(ICL)检测大气中C_2H_6浓度的传感器,其测量精度可达到10~(-9)量级。采用容积为220mL、光程为54.6m的多通池增加气体吸收光程,降低检测下限,提高灵敏度。采用LabVIEW虚拟仪器平台编程产生激光器扫描、调制信号及其叠加,通过数据采集卡(DAQ)输出到ICL驱动源。通过DAQ读取探测器输出信号,由LabVIEW程序进行信号的锁相放大及二次谐波提取。实验结果表明:当系统采样时间为1.67s时,阿伦标准差为1.86×10~(-9),且阿伦标准差在平均时间为775s时达到最小值,即系统达到最佳稳定度,为0.026×10~(-9)。将该系统放置于燃气站进行检测实验,证明所研制的C_2H_6传感器具有实用价值。     

氧化铝载体对Pt-Sn-K/γ-Al2O3催化剂上异丁烷脱氢性能的影响

采用盐酸回流法和氨水沉淀法合成了氧化铝载体,并通过络合真空浸渍法制备了不同来源氧化铝负载的Pt-Sn-K/γ-Al₂O₃催化剂。利用N₂物理吸附、CO脉冲吸附、H₂程序升温还原、NH₃程序升温脱附、热重等手段对Pt-Sn-K/γ-Al₂O₃催化剂进行了表征,以异丁烷脱氢为探针反应研究了氧化铝载体对该催化剂脱氢性能的影响。结果表明,与由盐酸回流法合成的载体制备的催化剂相比,采用氨水沉淀法合成的氧化铝载体制备的Pt-Sn-K/γ-Al₂O₃催化剂表面具有较小的Pt颗粒和较弱的酸性分布,其脱氢活性及异丁烯选择性更优。14 d的连续运行数据显示,由氨水沉淀合成的载体制备的催化剂,其抗积炭能力更强,反应后催化剂的积炭石墨化程度更低,因而具有更好的稳定性;在该催化剂上,异丁烷初始转化率为56.67%,14 d后仍能达到34.71%,异丁烯初始选择性为80%,7 d后维持在94%左右。     

Persistent Current in a Mesoscopic Ring Side-Attached with a Quantum Dot

We theoretically investigate properties of the ground state of a closed dot-ring system with a magnetic flux in the Kondo regime by means of a tight-banding Anderson Hamiltonian, using the Slave-Boson mean-field approach. The persistent current shows interesting dependences on the parity and on the size of the system. The signature of Kondo resonance at ζk/L = 0.15 is expected to be observed experimentally in the future. With the intensity of the coupling tD changes from weak to strong, the properties of the system changes largely, which are different from the in-line one because of the attached dot.     

Quantum to Classical Transition by a Classically Small Interaction

We investigate the quantum-classical transition of a kicked rotor （KR） under perturbation by a second one. The influence of such a chaotic KR makes decoherence of the first one, resulting in the emergence of classical diffusion from its quantum dynamics. Such quantum-classical transition persists by decreasing the effective Planck＇s constant h, and at the same time, decreasing the mass of the second KR and the interaction strength proportionally. In the limit of h → 0, due to vanishing small mass and interaction, the second KR has almost no effect on the classieal dynamics of the first one. We demonstrate this via two different coupling potentials.     

碱性季铵盐“一锅法”催化合成四氢苯并[b]吡喃的水相反应研究

报道了以2-二甲氨乙基苄基二甲基氯化铵为催化剂,在水相介质中"一锅法"催化芳醛、丙二腈和5,5-二甲基-1,3-环己二酮合成2-氨基-3-氰基-4-芳基-7,7-二甲基-5-氧代-4H-5,6,7,8-四氢苯并[b]吡喃的方法.该法具有产率高、反应时间短、操作简便、对环境友好、催化剂可重复使用等优点.     

花状Cu_2O/Cu复合材料的光催化性能

不采用任何模板,利用原位逐步水热方法一次性合成了花状Cu2O/Cu复合材料.采用X射线衍射、扫描电镜、高分辨透射电镜和自动吸附仪对样品的相结构、形貌和比表面积进行了表征.以偶氮染料Procion Red MX-5B为探针分子,对复合催化剂进行了可见光催化表征.结果表明该复合催化剂中的Cu和Cu2O之间存在相互作用,其催化活性远高于单相Cu2O和商用P25粉末,有望成为污水治理的新型材料.     

图与其补图谱半径之间关系的注记

给出在一般情形和某些限制条件下图及其补图的谱半径的和与积的上界，改进了文［１］的结果。