Ricci flow on surfaces with cusps

We consider the normalized Ricci flow ? _t g = (ρ ? R)g with initial condition a complete metric g ₀ on an open surface M where M is conformal to a punctured compact Riemann surface and g ₀ has ends which are asymptotic to hyperbolic cusps. We prove that when χ(M) < 0 and ρ < 0, the flow g(t) converges exponentially to the unique complete metric of constant Gauss curvature ρ/2 in the conformal class.     

Using a 1,8-diamino naphthalene–copper (II) system as a turn-on fluorescence probe for detecting Sudan I

An easy-to-use fluorescence probe for detecting Sudan I was developed. The probe detects Sudan I because Sudan I and 1,8-diamino naphthalene competitively interact with copper (II). Copper (II) effectively quenches the fluorescence of 1,8-diamino naphthalene because the 1,8-diamino naphthalene interacts with copper (II) and forms a 1,8-diamino naphthalene–copper (II) complex. Adding Sudan I causes the fluorescence of the system to be recovered because the Sudan I removes copper (II) from the 1,8-diamino naphthalene–copper (II) complex, liberating the 1,8-diamino naphthalene. The displacement of 1,8-diamino naphthalene by Sudan I gives a high fluorescence recovery efficiency. Under optimal conditions, the fluorescence intensity F achieved when Sudan I was added had a good linear relationship (R²?=?0.999) with the Sudan I concentration over the range 0–4.6?µM. The Sudan I detection limit was 0.032?µM. The method offers a new way of quantitatively determining Sudan I.     

Effects of solvent composition on the electrochemical performance of Li2FeSiO4/C cathode materials synthesized via tartaric-acid-assisted sol–gel method

Li₂FeSiO₄/C composites were synthesized via a tartaric-acid-assisted sol–gel method with ethanol and ethylene glycol (EG) as mixed solvents. Effects of solvent composition on the physical properties and electrochemical performances of Li₂FeSiO₄/C were studied. The materials were characterized by X-ray diffraction (XRD) and scanning electron microscopy (SEM). The electrochemical performances of Li₂FeSiO₄/C were evaluated by galvanostatic charge–discharge and electrochemical impedance spectra (EIS) measurements. The results show that the addition of EG to ethanol solvent during preparation has a positive effect on the electrochemical performance of Li₂FeSiO₄/C. The sample synthesized using EG–ethanol with the volume ratio of 2:7 has the best electrochemical performance. It delivers an initial discharge capacity of 105 mAh g^?1 at C/16. AC impendence investigation shows that Li₂FeSiO₄/C synthesized using the optimal EG/ethanol volume ratio has lower resistance of electrode/electrolyte interface and higher lithium-ion diffusion coefficient than that synthesized using ethanol as solvent.     

Spectroscopic characteristics of Yb3+-doped Li3Ba2Y3(WO4)8 crystal

This paper reports the spectroscopic properties of Yb³⁺:Li₃Ba₂Y₃(WO₄)₈ crystal. The polarized spectral properties of Yb³⁺:Li₃Ba₂Y₃(WO₄)₈ crystal were investigated. The laser performance parameters β_min, I_sat and I_min of Yb³⁺:Li₃Ba₂Y₃(WO₄)₈ crystals have been also established. Yb³⁺:Li₃Ba₂Y₃(WO₄)₈ crystal has a broad FWHM of the gain cross-section and larger absorption and emission cross-sections. These results may regard the Yb³⁺:Li₃Ba₂Y₃(WO₄)₈ crystal as a tunable laser material.     

用于正电子断层扫描成像的68Ga标记PM2.5模拟粒子的制备及其活体示踪

将黑色素纳米颗粒(melanin nanoparticle,MNP)经聚乙二醇(polyethylene glycol,PEG)修饰制备得到PEG-MNP,随后通过与放射性的⁶⁸Ga³⁺离子螯合,高标记产率地制备得到⁶⁸Ga-PEG-MNP,标记产物稳定性良好。进一步将⁶⁸Ga-PEG-MNP通过雾化方式制备得到⁶⁸Ga-PEG-MNP PM_2.5(particulate matter 2.5,size<2.5μm)模拟颗粒,其经雾化小鼠吸入体内后,通过正电子断层扫描(positron emission tomography,PET)成像对小鼠进行全身显影,结果可见雾化的⁶⁸Ga-PEG-MNP PM_2.5模拟颗粒可由气管向肺部双叶区域扩散,并滞留于肺。体内的PET成像结果与离体放射自显影结果高度一致。     

HIAF-BRing快脉冲二极磁铁磁场测量系统

介绍了强流重离子加速器装置HIAF(High Intensity heavy-ion Accelerator Facility)项目增强器BRing(Booster Ring)快脉冲二极磁铁的性能指标、测量要求和测量方法,描述了快脉冲二极磁铁稳态磁场测量系统及动态磁场测量系统的构成。在稳态磁场测量中,为提高积分磁场测量精度和测量效率,长线圈测量系统采用了on fly技术;在动态磁场测量中,研制了用于磁场延迟及磁场畸变测量的矩阵线圈。通过样机磁铁的测量,完成了测量系统的性能指标验证和磁铁的稳态磁场测量。实测结果表明,样机磁铁的设计和制造均达到了预期指标,并依据测量数据完成了磁铁的二次削斜。     

The integral Novikov conjectures for S-arithmetic groups I

We prove the integral Novikov conjecture for torsion free S-arithmetic subgroups Γ of linear reductive algebraic groups G of rank 0 over a global field k. They form a natural class of groups and are in general not discrete subgroups of Lie groups with finitely many connected components. Since many natural S-arithmetic subgroups contain torsion elements, we also prove a generalized integral Novikov conjecture for S-arithmetic subgroups of such algebraic groups, which contain torsion elements. These S-arithmetic subgroups also provide a natural class of groups with cofinite universal spaces for proper actions. Partially Supported by NSF grants DMS 0405884 and 0604878.     

New Realizations of the Maximal Satake Compactifications of Riemannian Symmetric Spaces of Noncompact Type

We give new realizations of the maximal Satake compactifications of Riemannian symmetric spaces of noncompact type as orbit closures inside Grassmannians and orthogonal groups. Our constructions are partially motivated by Poisson geometry.     

SiO2气凝胶的制备及微孔分布

本文以正硅酸乙酯(TEOS)为原料，水和乙醇为溶剂，盐酸和氨水为催化剂，采用溶胶-凝胶，水热合成和低温冷冻干燥等工艺，制备了SiO₂气凝胶，研究了pH值、TEOS浓度及焙烧温度对气凝胶的比表面积、孔径分布的影响。结果表明：在碱性条件下，制得的气凝胶比表面积较大，孔径较窄。气凝胶在较高温度下，比表面积有所下降，孔径略微变粗。     

GRAFT COPOLYMERIZATION OF ACRYLAMIDE ONTO POLYPROPYLENE FILMS BY PLASMA TECHNIQUE

The graft copolymerization of acrylamide onto polypropylene (PP) Film was carried out by using a capacitively coupled rf plasma apparatus with external plate electrodes. The relationship between the surface structure of the Ar plasma-treated PP films and the extent of grafting of acrylamide on the films was studied through observing the effects of discharge power and exposure time on the relative content of free-radical on the film surface. Meanwhile, the wettability and surface energy of the PP film were measured.