Perfect 3-colorings on 6-regular graphs of order 9

The concept of a perfect coloring, introduced by P. Delsarte, generalizes the concept of completely regular code. We study the perfect 3-colorings (also known as the equitable partitions into three parts) on 6-regular graphs of order 9. A perfect n-colorings of a graph is a partition of its vertex set. It splits vertices into n parts A1, A2,...,An such that for all i,j∈{1,2,...,n}, each vertex of Ai is adjacent to aij vertices of Aj. The matrix A =(aij)n×n is called quotient matrix or parameter matrix. In this article, we start by giving an algorithm to find all different types of 6-regular graphs of order 9. Then, we classify all the realizable parameter matrices of perfect 3-colorings on 6-regular graphs of order 9.     

10.6μm激光诱导扩散中热致破坏的抑制

在半导体激光诱导扩散实验中,用连续波CO2 10．6μm激光聚焦后照射基片表面。为实现局部区域的选择扩散,激光光斑半径仅数十微米。要使曝光区温度达到扩散实验要求,必须使曝光区功率密度很高。另一方面,Si、InP等半导体材料对10．6μm波长激光的吸收系数随温度的升高而增大,这导致实验时容易产生热致破坏,损伤基片。在分析热致破坏的产生机理后,提出了在聚焦激光束照射下,曝光区温度的数值计算方法。计算结果表明,在半导体基片初始温度为室温时,以恒定功率的激光束照射基片,曝光区温度不能稳定在扩散试验需要的温度范围。在此基础上,提出了预热基片及对曝光区温度进行实时控制等抑制热致破坏的方法,有效地克服了这一困难。这对于用激光微细加工制作出高性能的单片光电集成电路(OEICs)器件有重要意义。     

Preparation and characterization of terraced surfaces of low-index faces of anatase, rutile, and brookite

Simple polishing and relatively low temperature annealing procedures for preparing atomically flat terraced surfaces of various single-crystal TiO2 polymorphs are described. Anatase (101), anatase (001), rutile (100), rutile (110), and brookite (111) surfaces could all be prepared with a terraced surface structure as revealed in AFM images. The rutile (100) and (110) and anatase (101) surfaces were also shown to produce acceptable LEED patterns immediately upon insertion into a UHV system without the usual sputter and anneal cycles.     

Supramolecular assemblies with tunable morphologies from homopolymeric and small organic molecular building blocks

This work demonstrates the formation of micrometer-sized supramolecular assemblies with tunable morphologies using a homopolymer, poly(4-vinylpyridine), and a small organic acid, 5,7-dodecadiynedioic acid, as the building molecules. Three different morphologies (hollow spheres, solid spheres, and rods) were obtained, depending on the molar ratio of the building molecules. It is proposed that hydrogen bonding between P4VP and DCDA and the pi-pi stacking of the diacetylenic moieties are responsible for the formation of these assemblies. Interestingly, ordered hexagonal and lamellar mesostructures were also formed within the microstructure during the co-assembly process. As a result, UV irradiation of the supramolecular assemblies polymerized the diacetylenic moieties, resulting in cross-linked and responsive blue polydiacetylenic assemblies that can change color to red upon external stimuli (e.g., thermal stimuli). This work provides a novel concept of the synthesis of responsive supramolecular assemblies from a homopolymer and small organic molecules.     

Controlling the Optical Properties of Hyperbranched Conjugated Polyazomethines through Terminal‐Backbone Interactions

A simple approach to tune the optical properties of the hyperbranched conjugated polymers by only adjusting the terminal‐backbone interactions has been reported in this article. Hyperbranched conjugated polyazomethines have been successfully prepared by the reaction of tetramine and dialdehyde. Not only varying the monomer feed ratio to change the quantity of terminal amino groups, but also adopting protonation or complexion with proper dopants (SnCl₂ and β‐cyclodextrin), can alter the interactions between amino terminals and imine bonds in the backbone. Correspondingly, the optical properties of the resulting hyperbranched polymers are controlled.

     

黑洞阴影在SSD中的位置和形状

假设旋转的黑洞在标准吸积盘内,在吸积盘的内边界等于最后稳定轨道的情况下,画出黑洞阴影在吸积盘的图像.通过定性和定量分析黑洞的形状和位置,发现对于相同质量的黑洞,黑洞阴影的大小及形状与黑洞的自旋参量有关.旋转黑洞阴影的形状和位置与它的旋转轴是不对称的,通过研究旋转轴与黑洞阴影的位置关系来确定黑洞的质量中心的位置及黑洞的旋转参量.     

裂解气相色谱-质谱法分析裂解气压缩机垢样的组成

采用裂解气相色谱-质谱联用技术对大庆石化公司裂解气压缩机EC301不同压缩段的垢样进行分析。实验使用了RJ-1型管炉式裂解器,在500℃下对垢样进行裂解,色谱柱为60 m DB-1型毛细管色谱柱,质谱采用电子轰击电离源,电离能70 eV。研究表明,垢样的形成与环戊二烯密切相关。裂解气相色谱-质谱法可以作为分析该垢样成因的有效手段。     

天然维生素E制品中杂质的分离与鉴定

利用高效液相色谱、气相色谱-质谱联用与高分辨质谱对天然维生素E制品中的杂质进行了分离分析与结构鉴定。采用正相高效液相色谱法分离天然维生素E的4种异构体及2种杂质,并对杂质馏分进行富集纯化。将气相色谱-质谱联用与高分辨质谱检测相结合,用于获得杂质的结构信息。通过比较杂质精确相对分子质量和解析质谱碎片离子,推断杂质为芝麻素及其同分异构体表芝麻素。经与芝麻素对照品保留时间及碎片离子数据比对,确证了对杂质结构的推断。所建立的杂质鉴定方法快捷、有效,可应用于天然维生素E制品的食品安全控制。     

The Influence of Inlet Disturbances on the Post-Stall Behaviors in Compression System

The object of this paper is to provide a reliable tool to carry out the parametrical studies of post-stall behaviors in multistage axial compression systems. An adapted version of the 1.5D Euler equations with additional source terms is discretized with a finite volume method and are solved in time by a fourth-order Runge–Kutta scheme. The equations are discretized at mid-span both inside the blade rows and the non-bladed regions. The source terms express the blade-flow interactions and are estimated by calculating the velocity triangles for each blade row. Additional source terms are introduced to represent the effects of inlet disturbances on post-stall behaviors and the physical analysis is therefore proposed to explain the phenomenon.     

Linearized iterative method for determining effects of vessel attitude error on single-beacon localization

Single-beacon localization is an advanced (and relatively new) acoustic localization technique. The traditional single-beacon uses non-linear trajectories to localize underwater vessels, which has notable drawbacks in actual underwater operations. To mitigate the limitations associated with non-linear trajectories, we developed an innovative single-beacon localization with linear trajectories. The traditional linearized least square method is not suited to linear trajectories, so we developed a linearized iterative method that includes a virtual long baseline array to analyze the effects of vessel attitude error on single-beacon localization results. We simulated the forward velocity, number of beacons, distance measurement period, and vessel heading impact on horizontal localization. The results showed that according to the proposed analysis method, localization precision is strongly dependent on vessel attitude error.