液相色谱-电喷雾离子阱质谱分析土壤中四溴双酚-A

建立了固相萃取-高效液相色谱-电喷雾离子阱质谱(SPE-HPLC-MS-Trap)分析环境土壤样品中四溴双酚-A(Tetrabromobisphenol-A,TBBP-A)的方法.样品用正己烷索氏提取,用固相萃取C18小柱富集纯化,外标法定量.结果表明:土壤中不同加标浓度(11.9 pg/g～11.9 ng/g)四溴双酚-A的回收率分别为:(88.9±1.4)%、(98.7±9.9)%、(97.3±10.2)%、(100.6±2.0)%、(97.7±7.4)%和(99.96±4.73)%;不同浓度平行测量的相对标准偏差为0.83%～6.81%.应用建立的方法对环境土壤样品进行了测定,土壤样品中TBBP-A浓度为(25.2±2.7) ng/g (n=4).     

Density functional theoretical study of A series of pentazolide compounds \hbox{A}_{\it n}(\hbox{N}_5)_{\rm 6-{\it n}}^{\it q} (A = B, Al, Si, P, and S; n = 1–3; q = +1, 0, −1, −2, and −3)

The structure and the stability of pentazolide compounds $\hbox{A}_{\it n}(\hbox{N}_5)_{\rm 6-{\it n}}^{\it q}$ (A = B, Al, Si, P, and S; n= 1–3; q = +1, 0, ?1, ?2, and ?3), as high energy-density materials (HEDMs), have been investigated at the B3LYP/6-311+G* level of theory. The natural bond orbital analysis shows that the charge transfer plays an important role when the $\hbox{A}_{\it n}(\hbox{N}_5)_{\rm 6-{\it n}}^{\it q}$ species are decomposed to $\hbox{A}_{\it n}(\hbox{N}_5)_{\rm 5-{\it n}}\hbox{N}_3^{\it q}$ and N₂. The more negative charges are transferred from the N₂ molecule after breaking the N₅ ring, the more stable the systems are with respect to the decomposition. Moreover, the conclusion can be drawn that ${\hbox{Al}(\hbox{N}_5)_5^{2-}}$ and ${\hbox{Al}_2(\hbox{N}_5)_4^{2-}}$ are predicted to be suitable as potential HEDMs.     

INFINITELY MANY SOLUTIONS FOR A SINGULAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS IN RN

In this article, we study the existence of multiple solutions for the singular semilinear elliptic equation involving critical Sobolev-Hardy exponents -△u -μ u |x|2 = α|u|2*|x(s|s)*2u+ βa(x)|u|r-2u, x ∈RN.By means of the concentration-compactness principle and minimax methods, we obtain infinitely many solutions which tend to zero for suitable positive parameters α, β.     

离子交换树脂均匀沉淀法制备Nd2O3纳米粒子的研究

以Nd(NO)3·6H2O和(NH4):C2O4·2H2O为原料,分别采用阴离子交换树脂均匀沉淀法和阳离子交换树脂均匀沉淀法制备Nd2O3前驱体,经700℃焙烧后制得Nd2O3纳米晶体a和b.分别用热分析、X射线粉末衍射、透射电子显微镜、高分辨电子显微镜、选用电子衍射和BET等对前驱体和样品进行表征,并对均匀沉淀形成机理进行了探讨.结果表明,制备的Nd2O3纳米晶体属六方晶系,样品分散性较好,平均粒径约为26～32 nm;Nd2O3纳米晶体清晰、有序的电子衍射点阵,表明晶体的结晶度较好;样品a和样品b的比表面积分别是42.57和29.43 m2·g-1.离子交换树脂均匀沉淀法具有操作简单易行,对设备要求不高,成本低,同时避免使用有机溶剂和表面活性剂,污染小,后处理容易,离子交换树脂可再生重复使用等优点.     

Tricyclic graphs with maximum Merrifield-Simmons index

It is well known that the graph invariant, ‘the Merrifield-Simmons index’ is important one in structural chemistry. The connected acyclic graphs with maximal and minimal Merrifield-Simmons indices are determined by Prodinger and Tichy [H. Prodinger, R.F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982) 16-21]. The sharp upper and lower bounds for the Merrifield-Simmons indices of unicyclic graphs are characterized by Pedersen and Vestergaard [A.S. Pedersen, P.D. Vestergaard, The number of independent sets in unicyclic graphs, Discrete Appl. Math. 152 (2005) 246-256]. The sharp upper bound for the Merrifield-Simmons index of bicyclic graphs is obtained by Deng, Chen and Zhang [H. Deng, S. Chen, J. Zhang, The Merrifield-Simmons index in (n,n+1)-graphs, J. Math. Chem. 43 (1) (2008) 75-91]. The sharp lower bound for the Merrifield-Simmons index of bicyclic graphs is determined by Jing and Li [W. Jing, S. Li, The number of independent sets in bicyclic graphs, Ars Combin, 2008 (in press)]. In this paper, we will consider the tricyclic graph, i.e., a connected graph with cyclomatic number 3. The tricyclic graph with n vertices having maximum Merrifield-Simmons index is determined.     

A Note on Ranking in the Plackett-Luce Model for Multiple Comparisons

Acta Mathematicae Applicatae Sinica, English Series - Ranking and rating individuals is a fundamental problem in multiple comparisons. One of the most well-known approaches is the Plackett-Luce...     

Maximin efficiency robust test for multiple nuisance parameters and its statistical properties

We propose the maximin efficiency robust test (MERT) for multiple nuisance parameters based on theories about the maximin efficiency robust test for only one nuisance parameter and investigate some theoretical properties about this robust test. We explore some theoretical properties about the power of the MERT for multiple nuisance parameters in a specified scenario intuitively further more. We also propose a meaningful example from statistical genetic field to which the MERT for multiple nuisance parameters can be well applied. Extensive simulation studies are conducted to testify the robustness of the MERT for multiple nuisance parameters.