Uniquely pairable graphs

The concept of a k-pairable graph was introduced by Z. Chen [On k-pairable graphs, Discrete Mathematics 287 (2004), 11-15] as an extension of hypercubes and graphs with an antipodal isomorphism. In the present paper we generalize further this concept of a k-pairable graph to the concept of a semi-pairable graph. We prove that a graph is semi-pairable if and only if its prime factor decomposition contains a semi-pairable prime factor or some repeated prime factors. We also introduce a special class of k-pairable graphs which are called uniquely k-pairable graphs. We show that a graph is uniquely pairable if and only if its prime factor decomposition has at least one pairable prime factor, each prime factor is either uniquely pairable or not semi-pairable, and all prime factors which are not semi-pairable are pairwise non-isomorphic. As a corollary we give a characterization of uniquely pairable Cartesian product graphs.     

优化二元相位取样光纤布喇格光栅及对色散和色散斜率补偿的应用

利用粒子群算法对二元相位取样光栅的周期相位调制进行优化设计，在此基础上提出了基于二元相位取样光纤布喇格光栅的色散和色散斜率补偿技术.通过光栅周期啁啾可以调整每个信道的带宽，色散量由子光栅长度决定，调整取样函数的啁啾系数可以改变色散斜率，因此可以设计出用于波分复用系统的多信道色散补偿器件.     

大流量时多股射流静电雾化研究

为了使静电雾化在大流量时能够应用，本文研究了具有多股射流的某些喷咀。试验表明：多股射流中的每股射流仍然是圆锥体一射流模式，但是具有不稳定性。由此引起了ＰＤＡ（相位粒度分析仪）测量结果的畸变。同时试验还揭示，每股射流及其雾化依赖于喷咀不同部位的局部主要参数，使得均匀性受到影响。基于稳定性和均匀性之间很强的相互作用，本文提出了增加稳定性及改善均匀性的一些措施。     

The analysis of forming the bulge in a spilling water wave

The early stages of a spilling breaking water wave leading to the formation of a bulge on the forward face of the wave are investigated. In this study, simultaneous space-time measurements of the free-surface elevation of a spilling breaking water wave are recorded and analyzed. The analysis, carried out in the frame of reference moving with the crest of the wave, reveals that the formation of the bulge is due to the presence of a shock-like mode. In the previous frame of reference, the shock itself is unsteady but its (spatial) location is time independent and coincides with the “toe” of the bulge. As time increases, the shock undergoes a flip (a reflection symmetry) with respect to the midpoint of our time interval. Such a flip is responsible for an abrupt increase of the wave steepness, which will lead to wave breaking at later times. Following these observations, we present a two-dimensional quantitative model which reproduces both the formation of the bulge and the sudden increase of the wave steepness. Supported by the Foundation of the State Education Commission of China     

Understanding the Role of Internal Diffusion Barriers in Pt/Beta Zeolite Catalyzed Isomerization of n‐Heptane

Applications of zeolites in catalysis are plagued by strong diffusion resistance, which results from limitations to molecular transport in micropores, across external crystal surfaces, but also across internal interfaces. The first type of diffusion resistance is well understood, the second is receiving increasing attention, while the diffusion barriers at internal interfaces remain largely unclear. We take Pt/Beta catalyzed isomerization of n‐heptane as the model system to explore the role of internal diffusion barriers in zeolite catalysis. The two as‐synthesized Pt/Beta catalysts have an identical Pt loading, similar Beta particle size and acidity, but different internal structures. A Pt/Beta crystal with no observable internal interfaces can be 180 % higher in activity and 22 % higher in selectivity than its counterpart with numerous internal interfaces. This can only be attributed to the strong transport barriers across internal interfaces, as supported by directly comparing the apparent diffusivities of the two Beta samples.     

Understanding the Role of Internal Diffusion Barriers in Pt/Beta Zeolite Catalyzed Isomerization of n-Heptane

Applications of zeolites in catalysis are plagued by strong diffusion resistance, which results from limitations to molecular transport in micropores, across external crystal surfaces, but also across internal interfaces. The first type of diffusion resistance is well understood, the second is receiving increasing attention, while the diffusion barriers at internal interfaces remain largely unclear. We take Pt/Beta catalyzed isomerization of n-heptane as the model system to explore the role of internal diffusion barriers in zeolite catalysis. The two as-synthesized Pt/Beta catalysts have an identical Pt loading, similar Beta particle size and acidity, but different internal structures. A Pt/Beta crystal with no observable internal interfaces can be 180 % higher in activity and 22 % higher in selectivity than its counterpart with numerous internal interfaces. This can only be attributed to the strong transport barriers across internal interfaces, as supported by directly comparing the apparent diffusivities of the two Beta samples.     

亚波长银粒子/孔的光谐振特性

基于异质材料的有效介电常数理沦,仿真了二维亚波长银粒子/孔的等效复介电常数,证实了亚波长金属银粒子/孔的光谐振特性.对于在介质内放咒银粒子的模型,当光频率高于银的等离子体频率时,异质材料的等效介电常数的实部为负;在等离子体频率附近,等效介电常数的虚部存在谐振峰,粒子增大,谐振峰红移;在谐振频率点,银粒子周围局域场最大.在金属银上开孔,并填充不同介电常数的材料时,也存在类似的效应.并且孔内填充材料的介电常数增大,谐振峰红移,在相同介电常数的条件下,孔增大,谐振峰蓝移.光谐振现象与金属粒子/孔的形状有关,因此,光与亚波长金属粒子/孔相互作用的机理为等离子体模和谐振模,异质材料的有效介电常数理论是研究亚波长金属粒子/孔异常光增强现象的有力工具.     

类锂碳离子能级,波函数和跃迁几率

用组态相互作用程序ＣＩＶ３计算了类锂碳离子能级、波函数和跃迁几率，并与相对论多组态ＤｉｒａｃＦｏｃｋ程序ＭＣＤＦ的计算结果进行了比较。两种方法的结果符合得很好。     

5－Br－PADAP测定地下水中钒

本文研究了ＨＣｌ－ＫＣｌ缓冲体系中钒（Ⅴ）与５－Ｂｒ－ＰＡＤＡＰ形成配合物的条件及配合物的带电性质。提出一个灵敏、简便、快速测定钒的分光光度法。配合物的表观摩尔吸光系数为３．８×１０~４，最大吸收波长为５８８ｎｍ，钒（Ⅴ）与５－Ｂｒ－ＰＡＤＡＰ的配合比为１：１。含钒量在０—２０μｇ／２５ｍＬ范围内符合比尔定律。分析了地下水中钒，结果满意。     

Linear and nonlinear optical properties of strained GaN/AlN quantum dots: Effects of impurities,radii of QDs,and the incident optical intensity

The linear and nonlinear optical properties of cylinder GaN/AlN quantum dots with strain effects and impurity are investigated by taking into account the effects of the deformation potential and piezoelectric potential on the conduction band edge. The results are presented as a function of photon energies and QD radii. The optical absorption spectrum and refractive index changes have a blueshift in the presence of the impurity. With increasing distance of the impurity’s position along the growth direction, the peak values of the refractive index changes decrease and shift to higher photon energy. When the sizes of the QDs increase, redshift effects are observed and the relative amplitudes diminish. It can be found that the nonlinear effect becomes obvious with increase of the incident optical intensity. Then there is a “hole-burning” in the absorption coefficient spectra and two new peaks will appear in the total refractive index change spectrum when the optical intensity becomes larger enough. Finally it can be concluded that the intensity of the incident light and the position of the impurity play an important role in the linear and nonlinear optical properties.