Determination of Trace Amounts of Cadmium with p-Acetyl-Benzenediazoaminoazobenzene by Primary–Secondary Wavelength Spectrophotometry

The reaction between Cd²⁺and a chromogenic agent, p-acetylbenzenediazoaminoazobenzene (p-ABAA) at pH 12.5 is sensitive and selective in the presence of triethanolamine and citrate. The solubilization and sensitization of the OP emulsifier (nonionic surfactant) was observed in the above reaction. Because the absorption of excess p-ABAA interferes with the absorption of the complex, primary–secondary wavelength spectrophotometry (PSWS) was used instead of the single-wavelength method in the determination of trace amounts of cadmium. Results showed that this method gave out a higher precision and better accuracy than the single-wavelength method, because two wavelengths that are located at the peak absorption and the valley absorption of the reaction solution were used simultaneously. By analyzing samples, the relative standard deviations were less than 8% and the recovery between 96.5 and 111%.     

单圈混合图的极大谱半径

设U＊为一个未定向的n个顶点上的单圈混合图，它是由一个三角形在其某个顶点上附加”一3个悬挂边而获得．在文[Largest eigenvalue of aunicyclic mixed graph，Applied Mathematics A Journal of Chinese Universities （Ser．B），2004，19（2）：140-J48]中，作者证明了：在相差符号同构意下，在所有n个顶点上的单圈混合图中，U＊是唯一的达到最大Laplace谱半径的混合图．本文应用非负矩阵的Perron向量，给出上述结论的一个简单的证明．     

Quantum Superdense Coding Based on Coherent States in Cavity QED

A physical scheme for the implementation of quantum superdense coding has been proposed in Cavity QED. The detuned interaction between Λ-type three-level atoms and coherent fields constitute the main superdense coding process. The quantum superdense coding can be realized in an easier way, and the atoms are not excited during the whole process, so the effect of atomic decay is eliminated naturally.     

拟似然非线性模型中最大拟似然估计的强相合性

This paper proposes some regularity conditions. On the basis of the proposed regularity conditions, we show the strong consistency of maximum quasi-likelihood estimation （MQLE） in quasi-likelihood nonlinear models （QLNM）. Our results may be regarded as a further generalization of the relevant results in Ref. [4].     

Unoriented Laplacian maximizing graphs are degree maximal

A connected graph is said to be unoriented Laplacian maximizing if the spectral radius of its unoriented Laplacian matrix attains the maximum among all connected graphs with the same number of vertices and the same number of edges. A graph is said to be threshold (maximal) if its degree sequence is not majorized by the degree sequence of any other graph (and, in addition, the graph is connected). It is proved that an unoriented Laplacian maximizing graph is maximal and also that there are precisely two unoriented Laplacian maximizing graphs of a given order and with nullity 3. Our treatment depends on the following known characterization: a graph G is threshold (maximal) if and only if for every pair of vertices u,v of G, the sets N(u)?{v},N(v)?{u}, where N(u) denotes the neighbor set of u in G, are comparable with respect to the inclusion relation (and, in addition, the graph is connected). A conjecture about graphs that maximize the unoriented Laplacian matrix among all graphs with the same number of vertices and the same number of edges is also posed.     

Existence and uniqueness of positive periodic solutions for a neutral Logarithmic population model

In this paper, by using an abstract continuous theorem of k-set contractive operator, the criteria is established for the existence, global attractivity of positive periodic solution of a neutral delay Logarithmic population model with multiple delays. The result improve the known ones in [S.P. Lu, W.G. Ge, Existence of positive periodic solutions for neutral Logarithmic population model with multiple delays, J. Comput. Appl. Math. 166 (2) (2004) 371-383].     

One Step to Generate Cluster States Using Dipole-Induced Transparency in a Cavity-Waveguide System

We present a very simple scheme for generating four-qubit cluster states with one step using parity measurement based on dipole-induced transparency in a cavity-waveguide system. The scheme only uses the photon detectors to check the parity of the spatially separated dipole, which are the same （even parity） or different （odd parity） through measuring the light fields in the waveguide. The initial entangled states remain after nondetective identification and they can be used for successive tasks.     

4-（咪唑-1-基）苯甲酸镉配合物的合成和晶体结构

在水热条件下,用4-（咪唑-1-基）苯甲酸和Cd（NO3）2·4H2O为原料,制备了一种三维超分子配合物[Cd（C10H7N2O2）2·（H2O）4]n,并经X射线衍射分析确定了其单晶结构．该晶体属于单斜晶系,P2／c空间群,晶胞参数n=1．2349（5）nm,b=1．1105（5）nm,c=0．8014（5）nm,β=96．482（5）°,V=1．0920（9）nm^2,Z=2．Dc=1．699g·cm^-3,F（000）=564,ωR=0．032．结果表明,在配合物的基本结构单元[CdL2（H2O）4]中,Cd（Ⅱ）离子处于变形八面体配位环境中,配体中的N原子参与配位,而羧基中的O原子完全用于形成氢键．配合物单元之间通过氢键相互连接,形成了无限延伸的三维超分子网状结构．     

新型咔唑衍生物的合成及其晶体结构

通过9-乙基咔唑-3-甲醛与4-氨基-3,5-二甲基-1,2,4-三氮唑反应,合成了一种新型咔唑衍生物-- 9-乙基咔唑-3-甲醛缩4-氨基-3,5-二乙基-1,2,4-三氮唑(1),其结构经1H NMR, IR和X-射线单晶衍射表征.1属单斜晶系,P2(1)/n空间群,晶胞参数为:a=8.829(8)(A), b=9.863(10)(A), c=19.530(15)(A), β=101.65(5)°, V=1 666(3)(A)3, Dc=1.266 g·cm-3, Z=4, F(000)=672, μ=0.079 mm-1.最终偏离因子R1=0.075 6.     

GPC-多检测联用技术测定聚己内酯分子量及其分布

介绍一种用于生物可降解高分子材料聚已内酯(PCL)及其改性高分子的分子量和分子量分布测定的GPC-示差折光(RI)-示差黏度(DV)-直角光散射(RALLS)多检测联用技术.叙述了该方法的实验原理,并对测试过程中的有关技术及实验结果进行了讨论.该方法可准确测定聚己内酯(PCL)及其改性高分子的分子量及其分布、特性黏度分布、Mark-Houwink方程系数以及高分子尺寸等重要参数.通过对窄分布PS标样验证,分子量测定结果的相对误差在1%之内.