A 2D Lanthanide-organic Framework Based on Inorganic Lanthanum（Ⅲ） Sulfate Skeletons：Synthesis,Structure,and Luminescence and Thermal Properties

A new lanthanum coordination polymer formulated as {[La2(pyda) 2(μ4-SO4) ·5H2O]· 2H2O}n(1,H2pyda = 2,6-pyridine-dicarboxylic acid) has been synthesized from the reaction of H2pyda with lanthanide nitrate in the presence of sulfate as a counter anion. The compound was characterized by elemental analysis,IR spectroscopy and X-ray single-crystal diffraction. It crystallizes in the orthorhombic system,space group Pna21,with a = 18.8558(19) ,b = 6.5831(7) and c = 18.7543(19) . The compound is a 2D hybrid,in which the La(Ⅲ) ions were doubly connected by the carboxylic group of pyda2-ligand to form the La(Ⅲ) dimer followed by being grafted into 1D zig-zag chains which are further connected into a 2D network containing {[La(SO4) ]+}n helical chains. The interchain hydrogen bonding and π-π stacking interactions extended the 2D networks into a 3D supramolecular edifice.     

一个由咪唑衍生物构筑的二重穿插的锌配位聚合物的合成、结构及荧光性质

以ZnCl2、H3IDC(咪唑-4,5-二羧酸)和bix(1,4-双(咪唑基-1-甲基)-苯)为原料,在水热条件下得到了1个新的二重穿插的三维层-柱状金属-有机框架结构的配位聚合物{[Zn3(IDC)(bix)1.5Cl3].0.25H2O}n(1),并通过元素分析、红外光谱、热重分析以及单晶X-射线结构分析对其组成和结构进行了表征。单晶X-射线结构分析表明,配合物1的晶体属于单斜晶系,P21/c空间群,a=1.158 44(17)nm,b=1.088 75(16)nm,c=2.391 7(3)nm,β=96.835(2)°,V=2.995 1(8)nm3,Z=4,Dc=1.813 g.cm-3,F(000)=1 638,对于4 772个可观测点(I>2σ(I)),最终残差因子R1=0.037 9,wR2=0.089 6。在配合物1中,每个IDC3-分别桥联4个锌(Ⅱ)离子形成一维锯齿形链状结构,一维链通过cis-μ2-bix的2个氮原子连接形成二维网状结构,相邻的二维层之间再通过trans-μ2-bix的2个氮原子进一步连接形成了二重穿插的三维层-柱状金属-有机框架结构。固体室温荧光测试结果表明,配合物1在波长为400 nm的光激发下于468 nm处出现强烈的荧光发射。     

机械加工企业理化实验室管理的注意事项

论述了机械加工企业理化实验室管理应注意的几个方面的问题,对设备管理、人员培训、设备布局环境条件保证、标准物质管理、特殊物品管理、原材料采购、试样制备、安全管理、技术文件和原始记录管理、管理制度等进行了详细的阐述,并对如何管理进行了举例说明.     

Large time WKB approximation for multi-dimensional semiclassical Schrödinger-Poisson system

We consider the semiclassical Schrödinger-Poisson system with a special initial data of WKB type such that the solution of the limiting hydrodynamical equation becomes time-global in dimensions at least three. We give an example of such initial data in the focusing case via the analysis of the compressible Euler-Poisson equations. This example is a large data with radial symmetry, and is beyond the reach of the previous results because the phase part decays too slowly. Extending previous results in this direction, we justify the WKB approximation of the solution with this data for an arbitrarily large interval of R₊.     

Numerical solution of multiple nonlinear Volterra integral equations

We analyze a discretization method for solving nonlinear integral equations that contain multiple integrals. These equations include integral equations with a Volterra series, instead of a single integral term, on one side of the equation. We prove existence and uniqueness of solutions, and convergence and estimates of the order of convergence for the numerical methods of solution.     

Rational approximation to the Thomas-Fermi equations

We show that a simple and straightforward rational approximation to the Thomas-Fermi equation provides the slope at origin with unprecedented accuracy and that Padé approximants of relatively low order are far more accurate than more elaborate approaches proposed recently by other authors. We consider both the Thomas-Fermi equation for isolated atoms and for atoms in strong magnetic fields.     

On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its fourier series

In a recent paper Lal and Yadov [4] obtained a theorem on the degree of approximation for a function belonging to the Lipschitz class Lipα using the product of the Cesàro and Euler means of order one of its Fourier series. In this paper we extend this result to any regular Hausdorff matrix for the same class of functions.     

Explicit solution of the finite time L2-norm polynomial approximation problem

The aim of this paper is to present a new approach to the finite time L₂-norm polynomial approximation problem. A new formulation of this problem leads to an equivalent linear system whose solution can be investigated analytically. Such a solution is then specialized for a polynomial expressed in terms of Laguerre and Bernstein basis.     

The inverse eigenvalue problem of generalized reflexive matrices and its approximation

This paper studies inverse eigenvalue problems of generalized reflexive matrices and their optimal approximations. Necessary and sufficient conditions for the solvability of the problems are derived, the solutions and their optimal approximations are provided.