New application to Riccati equation

<正>To seek new infinite sequence of exact solutions to nonlinear evolution equations,this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation.Based on the tanhfunction expansion method and homogenous balance method,new infinite sequence of exact solutions to Zakharov-Kuznetsov equation,Karamoto-Sivashinsky equation and the set of(2+l)-dimensional asymmetric Nizhnik-Novikov-Veselov equations are obtained with the aid of symbolic computation system Mathematica.The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.     

具有次线性和超线性项的非线性椭圆型方程组最小正解的存在性

证明了对每一λ∈(0,Λ),当Λ>0时半线性椭圆型方程组。有最小正解(λ_u,λ_v)。其中ΩRN(N≥2)为具有光滑边界的有界区域,0<q<1u,λ_v关于λ是严格递增的。     

Unified symmetry of nonholonomic mechanical systems with variable mass

Based on the total time derivative along the trajectory of the system the definition and the criterion for a unified symmetry of nonholonomic mechanical system with variable mass are presented in this paper. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are also obtained. An example is given to illustrate the application of the results.     

双向视ICP-OES法同时测定褐煤中锗和一些主要成灰元素

描述了ICP-OES(高频电感耦合等离子体光学发射光谱)同时测定褐煤中Ge和一些主要成灰元素Fe,Al,Ca,Mg,K,Na,Ti的方法。所使用的仪器是一台安装有双向视等离子体炬管和一个同时检测器的ICP光谱仪,这种技术允许分别在侧视和端视方式下同时测定主成分和微量元素。作者选取了适宜的仪器工作条件、选择了无干扰的分析谱线和合理地扣除了光谱背景,样品灰化后用HNO₃/HF/HClO₄混合酸消解,测定结果与国标方法吻合。仪器的检出限为0.000 39～0.10 μg·mL-1,方法的精密度RSD为0.79%～2.84%,样品平均回收率为92.38%。建立的方法可简便、快速、准确地对褐煤中锗及其他多种元素同时进行测定。     

重金属团簇(M2Te)3(M=Au, Ag, Cu)赝势从头算研究

使用相对论和非相对论赝势,在HF和MP2理论水平上研究了重金属混合/掺杂团簇(M2Te)3(M=Au, Ag, Cu) 的几何构型和稳定性.结果显示,团簇存在具有D3h,C2v和C3v对称性的三种稳定异构体,并且各异构体之间能量相差很小.电子相关效应对M-M键长的修正十分显著,而对M-Te键长和Te-M-Te键角的修正非常小.相对论效应使所有键长变短、Te-M-Te键角变大.两种效应都提高振动频率、降低能量,使团簇结构变得更加紧凑,使多聚物趋于更加稳定.     

解二阶椭圆本征值问题的有限元插值校正方法

§1.引言 本文介绍解二阶椭圆本征值问题的有限元插值校正方法.理论分析和数值实验都表明,此方法具有低代价和高精度的特点.这个方法是超收敛和迭代伽略金法的思想相结合的产物。 考虑二阶椭圆本征值问题:     

注入热焓法测定萃取磷酸中三氧化硫

以钡离子与硫酸根离子沉淀反应的热效应为基础，通过测定孤立体系中的温度变化，建立了测定萃取磷酸中三氧化硫的注入热焓法，该法在４．０－３２．０ｇ／Ｌ范围内可准确测定ＳＯ３的含量，相对标准偏差为１．８％；标准加入回收率为９８％－１０３％。     

使用曲面微通道板和感应电荷位置灵敏阳极的软X射线-极紫外光子计数成像探测器研究

本项目对我国空间探测的极紫外(EUV)波段大视场相机所需求的球面光子计数成像探测器的关键技术进行了研究。首先,建立了光阴极材料次级电子产出模型,利用该模型计算了软X射线-EUV波段常用的光电阴极材料—碱卤化物的次级电子产出,分析了微通道板(MCP)的次级电子产出。建立了测量MCP量子探测效率的装置,并推导出MCP量子探测效率的计算公式,测量了MCP在软X射线-EUV波段的量子效率以及MCP量子效率随掠入射角的变化。其次,建立了球面实芯微通道板的制备装置,利用高温热成型方法制备出曲率半径为150 mm球面MCP,利用光刻技术制备出有效直径为48 mm的楔条形感应电荷位置灵敏阳极,在此基础上集成了一套使用球面MCP和感应电荷位置灵敏阳极的两维光子计数成像探测器。再次,研制出包括快速前端模拟电路与后续数字电路的成像读出电路,编制了能矫正图像畸变的图像实时采集和处理软件。最后,建立了MCP探测器空间分辨率、图像线性的检测装置,对研制出的探测器性能进行了检测,检测结果表明:探测器的各项技术指标完全满足要求。     

New experimental measurement of natSe(n, γ) cross section between 1 eV to 1 keV at the CSNS Back-n facility

The ⁷⁴Se is one of 35 p-nuclei, and ⁸²Se is a r-process only nucleus, and their (n, γ) cross sections are vital input parameters for nuclear astrophysics reaction network calculations. The neutron capture cross section in the resonance range of isotopes and even natural selenium samples has not been measured. Prompt γ-rays originating from neutron-induced capture events were detected by four C₆D₆ liquid scintillator detectors at the Back-n facility of China Spallation Neutron Source (CSNS). The pulse height weighting technique (PHWT) was used to analyze the data in the 1 eV to 100 keV region. The deduced neutron capture cross section was compared with ENDF/B-VIII.0, JEFF-3.2, and JENDL-4.0, and some differences were found. Resonance parameters were extracted by the R-matrix code SAMMY in the 1 eV-1 keV region. All the cross sections of ^natSe and resonance parameters are given in the datasets. The datasets are openly available at http://www.doi.org/10.11922/sciencedb.j00113.00019.     

分子篩(制备、性质与应用)

引言吸附剂的吸附性质主要与其化学本性、表面积大小、結构及小孔(按其有效半径)的分布有关。决定吸附量的吸附势可以在显著程度上随內表面的几何形状而变。在公子大小的窄小孔隙或縫隙中,由于相对面孔壁声的迭加,吸附势有显著增加。吸附剂的孔隙愈小,这个效应就愈强烈。吸附剂的可以达到的吸附面积也与被吸附物质的分子大小有关,一部