Rigidity of circle domains whose boundary hasσ-finite linear measure

Summary Let be a circle domain in the Riemann sphere whose boundary has -finite linear measure. We show that is rigid in the sense that any conformal homeomorphism of onto any other circle domain is equal to the restriction of a Möbius transformation. Previously, Kaufman and Bishop have independently found examples of non-rigid circle, domains whose boundary is a Cantor set of (Hausdorff) dimension one.Oblatum 19-VI-1992 & 2-IV-1993Supported by NSF and Sloan Foundation     

Research Progress and Application of Ion Funnel Technique

Ion funnel is a new-style ion guider which can reduce spatial divergence and energy dispersity of the transmission ions by using radio frequency (RF) electric field to confine the ions radially and the direct current (DC) axial electric field to move the ions toward the exit, and thus it can greatly increase the ion transmission efficiency and improve the sensitivity of the mass spectrometry. Since ion funnel was invented in 1997, it has attracted a close attention of mass spectrometry scientists all over the world. Ion funnel has been used in various kinds of mass spectrometry, and built a bridge with high efficiency ion transmission between low vacuum ionization source and high vacuum mass analyzer. In this paper, the principle, technology development, and application progress of ion funnel are reviewed, and the future prospects are prospected.     

在线质谱仪检测植物排放的挥发性有机物

利用在线检测质谱仪(SPIMS-1000)分别对高温烘烤、长时间密封保存、机械损伤等处理过的松科松属马尾松(Pinus Massoniana L.)样品排放的挥发性有机物(VOCs)与新鲜样品进行对比检测。SPIMS-1000在线检测质谱仪能够检测出植物排放的异戊二烯(m/z 68)和单萜(m/z 136),及其它一些特异性组分,如(Z)-3-己烯醛(m/z 98)等。利用在线检测质谱仪实现敞开环境中原位植物排放气体的检测。实验表明,在线检测质谱仪被广泛应用于环境中VOCs的实时、在线、定性快速检测。     

宽离子能量检测范围垂直引入反射式飞行时间质谱仪的研制

本实验室研制了国内首台宽离子能量检测范围飞行时间质谱仪。仪器采用紧凑式电子轰击源设计,配合离子透镜系统有效的调制离子流,飞行时间质量分析器采用了离子垂直引入式,双场加速和双场反射以及大尺寸MCP检测装置设计。仪器单离子信号半峰宽约2 ns,仪器分辨率优于1600FWHM,检测实际样品质量范围为1~127 amu(仪器理论质量检测上限优于800 amu),可检测离子能量范围优于2个数量级(3~140 eV)。若该TOF质量分析器与短瞬高压脉冲放电离子源耦合联用,可广泛应用于高能离子束的快速检测,如真空阴极放电对制备薄膜、离子注入材料的表征,导电材料的离子电荷态分布以及离子扩散速度的测定等。     

碰撞气体的种类和压力对离子阱质谱性能的影响

基于数字离子阱技术,研究了离子阱质谱分析实验过程使用的碰撞气体种类及压力对离子阱质谱性能,如质量分辨能力、信号强度、串级质谱分析,以及低质量截止效应等的影响.实验过程中,在离子的激发和碰撞诱导解离阶段,分别采用质量数不等的氦气(质量数=4 amu)、氮气(质量数=28 amu)、氩气(质量数=40 amu)等作为碰撞气体,以及不同的气体压力,研究了它们对质谱性能的影响.结果表明,当采用质量数较大的氩气作为碰撞气体时,可以有效改善低质量数截止效应和提高离子碰撞过程中的能量转移效率,同时提高离子捕获和解离效率,但是质量分辨率会明显降低.在获得较高质量分辨率方面,氦气作为碰撞气体时效果最好.在气压相同的情况下,质量数大的碰撞气体有利于提高串级质谱分析效率,即获得更多碎片离子峰和更多有关母体离子结构的信息.     

Studies on bio-antioxidants II. An ESR study on the antioxidant efficiency of ascorbyl palmitate in micelles

The kinetics for the reaction of ascorbyl palmitate and 4-hydroxy-TEMPO, 4-methoxy-TEMPO or 4-hexanoyloxy-TEMPO in CTAB and SDS micelles was studied by ESR spectroscopy. It was found that the behavior of ascorbyl palmitate is remarkably different from ascorbic acid in their antioxidant activity in micelles. The predominant factors governing the activity in micelles involve the lipophilicity of the antioxidant and the oxidant, the charge type of the substrates and the concentration of the surfactant. As high as 2 × 10⁴ fold rate variation was observed by changing the lipophilicity of the antioxidant and the microenvironment of the reaction medium.     

真空紫外灯单光子电离源飞行时间质谱仪的研制

研制了真空紫外灯单光子电离源飞行时间质谱仪(Vacuum ultraviolet single photon ionization time-offlight mass spectrometer,VUV-SPI-TOFMS),包括真空系统、毛细管进样系统、真空紫外灯电离源、垂直加速反射式飞行时间质量分析器和数据采集系统...     

单颗粒气溶胶飞行时间质谱仪分析香烟烟气气溶胶

单颗粒气溶胶飞行时间质谱可同时对气溶胶单颗粒的粒径大小、化学成分进行实时、在线检测.本研究介绍了新近研制的单颗粒质谱仪的原理、结构、主要技术指标及对香烟烟气气溶胶的应用研究.仪器采用空气动力学透镜聚焦,双光束粒径测量系统确定颗粒物的空气动力学直径,激光电离系统实现颗粒物精确电离,通过双极有网反射飞行时间质量分析器实现正负离子同时检测.香烟检测结果表明,在颗粒物粒径分布上,新鲜香烟烟气颗粒范围较老化烟气宽.在气溶胶化学成分上,老化烟气颗粒物与新鲜烟气相比,尼古丁,氰酸盐,硝酸盐,硫酸盐及铵盐5种成分的数浓度百分比都有所增加,而含C1-的数浓度百分比减少.原因可能是由于烟气由气相到粒相之间的转化,及颗粒物与空气中的气体发生了非均相反应;C1-老化之后的减少是因为HN03与CI-之间的非均相反应.     

On the convergence of circle packings to the Riemann map

Rodin and Sullivan (1987) proved Thurston’s conjecture that a scheme based on the Circle Packing Theorem converges to the Riemann mapping, thereby providing a refreshing geometric view of Riemann’s Mapping Theorem. We now present a new proof of the Rodin–Sullivan theorem. This proof is based on the argument principle, and has the following virtues. 1. It applies to more general packings. The Rodin–Sullivan paper deals with packings based on the hexagonal combinatorics. Later, quantitative estimates were found, which also worked for bounded valence packings. Here, the bounded valence assumption is unnecessary and irrelevant. 2. Our method is rather elementary, and accessible to non-experts. In particular, quasiconformal maps are not needed. Consequently, this gives an independent proof of Riemann’s Conformal Mapping Theorem. (The Rodin–Sullivan proof uses results that rely on Riemann’s Mapping Theorem.) 3. Our approach gives the convergence of the first and second derivatives, without significant additional difficulties. While previous work has established the convergence of the first two derivatives for bounded valence packings, now the bounded valence assumption is unnecessary. Oblatum 15-V-1995 & 13-XI-1995