A limiting weak type estimate for capacitary maximal function

A capacitary analogue of the limiting weak type estimate of P. Janakiraman for the Hardy–Littlewood maximal function of an L¹(Rⁿ)$L^1({\mathbb{R}}^n)$-function (cf.  and ) is discovered.     

On Ringel–Hall Algebras of Tame Hereditary Algebras

In this paper, the double Ringel–Hall algebras of tame hereditary algebras are decomposed as the quantized enveloping algebras of the infinite-dimensional Lie algebras, which are the central extensions of the affine loop algebras and the infinite-dimensional Heisenberg algebras. The numbers of the generators of the Heisenberg algebras are explicitly given at each dimensional level.     

碾压混凝土坝渗流场与应力场耦合模型研究

针对碾压混凝土坝存在众多施工层面问题,提出了确定影响层厚度以及相应物理力学参数的方法;在此基础上,探讨并建立了碾压混凝土坝渗流场与应力场两场耦合模型,研制了相应的三维有限元程序．研究表明,结合试验和理论分析确定的碾压混凝土坝层面影响层的厚度、弹性模量和泊松比等参数更切合实际;提出的碾压混凝土坝渗流场与应力场两场耦合模型,能较好地体现两场耦合作用,开发的三维有限元模型能较充分反映碾压混凝土坝施工层面的特性．通过研究,为分析施工层面对碾压混凝土坝变化性态影响,以及了解大坝的应力和渗流的相互作用提供了科学依据．     

三例基于5-(二甲基氨基)间苯二甲酸的锌(Ⅱ)/铜(Ⅱ)配合物的合成、晶体结构、Hirshfeld表面分析和荧光性质

利用配体 5-(二甲基氨基)间苯二甲酸(H₂dia)和咪唑(mdz)分别与锌(Ⅱ)和铜(Ⅱ)金属盐反应,制备了 3 例过渡金属配合物[Zn(dia)(mdz)₂]·2H₂O (1)、[Cu(dia)(mdz)₂(DMF)] (2)和[Cu(dia)(mdz)₂]·H₂O (3)。利用单晶 X射线衍射、元素分析、红外光谱、热重和Hirshfeld表面分析对其进行了结构表征。结果表明配合物1和2为一维线状链,1中每个四配位的Zn(Ⅱ)处于变形四面体中心,2中Cu(Ⅱ)中心拥有五配位的三角双锥几何构型。改变合成溶剂条件得到锯齿形一维链状配合物3,其四配位Cu(Ⅱ)中心展现出对称平面四边形构型。上述结果说明,金属离子几何构型以及合成溶剂可能对配合物结构具有重要影响。丰富的分子间氢键帮助3例配合物形成稳定的三维超分子结构。热重分析表明,3例配合物均具有良好的热稳定性。固体荧光分析表明配合物1具有较强荧光性,而配合物2和3荧光强度均远低于配体。     

Zinc Stannate Nanostructures for Energy Conversion

To date,ternary metal oxide semiconductor materials have attracted extensive attention worldwide due to their unique optoelectronic properties.As a classical ternary oxide,Zn2SnO4 is featured with the high electron mobility,wide band gap,negligible visible light absorption and tailorable electronic band structures.Thus,it is an ideal material for practical use in solar cells,lithium batteries,sensors,and photo-catalysts.In this review,we summarize the recent research progress of this material with the focus on the synthesis methods,nanostructures,and the resulting effects on the crystal structure,optical properties,and photoelectrochemical properties.Moreover,their potential applications in different devices are highlighted and carefully discussed.     

A method of beam combination of high- power incoherent fiber laser

Diffraction efficiency of grating plays an important role in output power of incoherent fiber laser beam combination. Through theoretic analysis and numerical simulations it has been proved that the diffraction efficiency would increase with the decrease of grating frequency and wavelength bandwidth. On the condition that the width of a fiber array is fixed at W=10 cm, an optimum grating frequency were numerically simulated as f=230 mm-1. Also an unequal interval method was proposed to improve the system efficiency of diffraction into 0.4293, which is higher than 0.3824 under the equal interval condition.     

混合染料荧光选择性增强受激拉曼散射Stokes波

报道用不同混合比的罗丹明6G(R6G)和罗丹明B(RB)混合染料荧光选择性放大CCl₄和苯的受激拉曼散射不同阶次Stokes波。CCl₄二至五阶Stokes波分别被混合摩尔比为20∶2,20∶13及20∶40(R6g∶RB)的R6G和RB的混合染料荧光放大;一阶Stokes波强度被混合溶液削弱。这是由于到二至五阶Stokes波分别位于以上三种混合溶液荧光峰附近,并且都远离了R6G和RB的吸收峰,混合溶液的荧光增强作用大于吸收作用,因此这几阶Stokes被混合溶液荧光放大。而CCl₄的一阶Stokes位于RB吸收峰附近,又远离各混合溶液荧光峰,溶液的吸收作用大于荧光增强作用,导致一阶Stokes被混合溶液削弱。文章还报道了苯的一、二和三阶Stokes波分别被不同混合比的R6G和DCM的混合乙醇溶液放大,并预测了该方法应用前景。     

Experimental synchronization of independent entangled photon sources

We report the generation of independent entangled photon pairs from two synchronized but mutually incoherent laser sources. The quality of synchronization is confirmed by observing a violation of Bell's inequality with 3.2 standard deviations in an entanglement swapping experiment. The techniques developed in our experiment are not only important for realistic linear optical quantum-information processing, but also enable new tests of local realism.