在不可定向的流形网格曲面上计算测地距离的一般方法

不可定向的流形曲面不仅在拓扑学中占据重要的地位,在可视化和极小曲面等问题中也有很多的应用.从拓扑学的观点来看,二流形曲面的每个局部与圆盘同胚,该性质与曲面的全局可定向性无关.但在离散化的网格表示上,可定向的二流形曲面常用半边结构来表达,而不可定向的二流形曲面大多表达成若干多边形的集合,这给以可定向网格曲面为主要研究对象的数字几何处理带来很多不便.本文提出了把不可定向的二流形网格曲面上的测地距离问题转化到可定向曲面上进行处理的一般算法框架.该框架有望在不可定向的二流形网格曲面与传统数字几何处理方法之间搭起一座桥梁.为了展示该算法框架的普适性,本文将其应用于不可定向曲面上的三个重要场合,包括测地距离的求解、离散指数映射和最远点采样.     

Bacteria-Based Sensor for Monitoring Glycerol

Biosensors are useful for determination of many organic compounds. The biosensors based on the microorganism are promising analysis tools in terms of their cost, convenience, and applications.     

Yieldlike constitutive transition in shear flow of entangled polymeric fluids

We describe an unexpected constitutive transition in entangled polymer solutions. At and beyond a critical stress, the initial spatially homogeneous and well-entangled sample transforms from its entangled (coiled) state into a fully disentangled (stretched) state over a period during which the resulting shear rate increases in a spatially inhomogeneous fashion. In the mode of controlled shear rate, the sample exhibits a stress plateau over three decades. Flow birefringence and normal stress observations unravel additional features of these flow phenomena.     

CHHE-MRT Method and Its Application in Three-Body Problem

Based on "Hybrid Method" by Dzhibuti,a CHHE-MRT method is suggested for threebody problem,which overcomes the difficulty of infinite integral of oscillatory Bassel functions in hybrid method,and enables us to study the bound states and scattering states of three-body problem by using Gauss,Exponential and Yukawa potential.     

Synthesis of Ugi-4CR boronate analogues via microwave irradiation

The synthetic condition for the synthesis of boronate ester Ugi-4CR analogs under mild conditions was developed. The reported reactions were carried out in methanol and promoted by microwave heating. This synthetic strategy could provide unique access to a broad range of boron-containing chemical libraries.     

Stick-slip transition in capillary flow of linear polyethylene: 3. Surface conditions

Effects of surface topology and energy on the stick-slip transition were studied in capillary flow of highly entangled polyethylene (PE) melts. Surface roughness was shown to increase the critical stress of the stick-slip transition because of the increased resistance to interfacial disentanglement. Lowering the surface energy of a smooth die wall by treatment with a fluorocarbon completely eliminates the stick-slip transition and produces massive interfacial slip at PE/wall boundary down to a stress level of 0.05 MPa. On the other hand, considerable roughness on the same low energy surface can produce a stick hydrodynamic boundary condition and restore the stick-slip transition despite the weak PE/wall interfacial interactions. Additionally, a slip-slip transition was found in the die with a nearly non-adsorbing wall that appears to involve a secondary chain-debonding process.     

金核壳纳米粒子的控制合成及其生物复合(英文)

合成了一系列Au/SiO2核壳纳米粒子,并详细研究了Au纳米壳层的生长过程。发现在金纳米壳层形成的过程中存在着2个竞争反应。利用这一发现,可将金纳米壳层的吸收峰从524nm连续调谐至980nm处。恩度是一种临床抗癌药物,我们首次将其生物复合于吸收峰位于808nm的Au/SiO2壳层表面,得到Au/SiO2-Endo,通过FTIR测试证明该生物复合成功。将恩度特殊的饿杀肿瘤特性以及对肿瘤具有特异识别能力,与Au/SiO2纳米壳层结构的光学可调谐特性以及良好的光热转换能力复合于一体,我们期望得到一种治疗肿瘤效果更强的新型药物。     

Broadband Near-Infrared Emission from Transparent Ni^2＋ -Doped Sodium Aluminosilicate Glass Ceramics

Broadband near-infrared emission from transparent Ni^2＋-doped sodium aluminosilicate glass-ceramics is observed. The broad emission is centred at 1290nm and covers the whole telecommunication wavelength region （1100- 1700hm） with full width at half maximum of about 340hm. The observed infrared emission could be attributed to the 3T2（F） → 3A2（F） transition of octahedral Ni^2＋ ions that occupy high-field sites in nanocrystals. The product of the lifetime and the stimulated emission cross section is 2.15 × 10^-24 cm^2s. It is suggested that Ni^2＋- doped sodium aluminosilicate glass ceramics have potential applications in tunable broadband light sources and broadband amplifiers.     

荧光捕获效应对Yb3+磷酸盐玻璃光谱性质的影响

测试了不同掺杂浓度和不同厚度下Yb3+ 磷酸盐玻璃的吸收光谱、荧光光谱和荧光寿命 ,计算了积分吸收截面、吸收截面、受激发射截面、自发辐射寿命以及荧光有效线宽等光谱参数 ,讨论了荧光俘获效应对Yb3+ 磷酸盐玻璃光谱性质的影响 .结果表明荧光俘获效应随样品厚度和掺杂浓度的增加而增大 .由于荧光俘获效应的存在使得测量的Yb3+ 磷酸盐玻璃荧光寿命明显长于计算的荧光寿命 ,在 0 2mol%Yb2 O3低掺杂浓度下采用不同厚度 ( <4mm)的样品测量的荧光寿命之间误差为 3 0 %左右 ,高浓度 ( 6mol%Yb2 O3)掺杂下误差可达 43 % .荧光俘获还造成荧光谱线加宽 ,导致荧光有效线宽在低浓度 ( 0 2mol%Yb2 O3)时增加 14% ,在高掺杂浓度 ( 6mol%Yb2 O3)下增加 3 0 %以上     

帽状金纳米结构的制备、表征及表面增强拉曼散射活性

采用真空离子溅射法在自组装的单层阵列二氧化硅纳米粒子表面沉积金薄膜, 制备了以SiO₂为核的帽状金纳米结构. 用透射电镜、扫描电镜、原子力显微镜、X 射线衍射仪和紫外-可见-近红外分光光度计对样品的表面形貌、结构及光学性质进行了表征. 以亚甲基蓝作为探针分子, 对金纳米帽的表面增强拉曼散射活性进行了研究, 结果显示, 吸附在金纳米帽上的分子拉曼散射信号得到显著增强, 增强因子达到10⁷数量级. 该基底在超灵敏生物和化学检测方面具有潜在的应用前景.