时变偏微分方程的贝叶斯稀疏识别方法

在数据驱动的建模中,通过测量或模拟得到时空数据,我们发现基于拉普拉斯先验的贝叶斯稀疏识别方法能有效地恢复时变偏微分方程的稀疏系数.本文将贝叶斯稀疏识别方法运用于各种时变偏微分方程模型(KdV方程、Burgers方程、Kuramoto-Sivashinsky方程、反应-扩散方程、非线性薛定谔方程和纳维-斯托克斯方程)的方...     

地磁环境下基于SQUID三轴磁强计的矢量稳场

超导量子干涉器件(Superconducting Quantum Interference Device,简称SQUID)是一种高灵敏度的矢量磁探测器.本文采用低温超导SQUID作为传感器,搭建了一套三轴矢量磁场稳定装置.该系统由两个三轴SQUID磁强计模块、比例积分微分(PID)控制器和反馈线圈组组成.在该系统的矢量稳场下,磁场波动峰峰值在有效带宽内可以降低四个数量级,可达pT量级,稳场效果显著.此技术可以满足大部分需要稳定磁场,如高灵敏度磁传感器的标定等应用场合.     

低β 162.5 MHz taper型HWR腔的机械性能分析（英文）

北京大学正在设计β=0.09,频率为162.5 MHz taper型的二分之一波长射频超导谐振腔(HWR腔),这种腔针对高流强质子束(约100mA)和氘束(约50mA)的加速而设计。对于这种超导腔而言机械性能分析是十分重要的,可以通过机械性能分析来估计由于腔体的形变带来的频率偏移。用ANSYS分析了由于液氦压力不稳定造成的麦克风效应以及洛伦兹力造成的腔体失谐,并且对沿腔体轴线方向的调谐进行了分析。模拟结果显示这只腔压力敏感系数为31.1 Hz/kPa,洛伦兹力系数为-0.41Hz/(MV·m~(-1))~2。腔体的调谐范围达到±177kHz,足够补偿腔体可能的频率偏移。腔体的机械性能满足腔体正常运行的要求。     

用于同步辐射光源的成像板粉末衍射系统

报道了我们研制的一套成像板粉末衍射装置,对其误差来源进行了详细的分析讨论,并与衍射仪进行了比较.该装置的半径为143.3mm,最大测量角度范围不160°，最大角度(2q )偏差小于0.03°,这些性能指标已被实验所证实,完全可应用于粉末衍射全谱的测量.     

Spin-Dependent Transport and Densities of States in Non-collinear Magnetic Barriers

The spin-dependent transport properties in the non-collinear pattern of series of δ-magnetic barriers are studied by using scattering theory and Green＇s function methods. The Green＇s function is obtained by using distorted wave approach and the scattering matrix is related by Fisher-Lee relationship. In addition to reproducing the results of Papp＇s and Xu＇s in parallel and antiparallel configurations, we also obtain further results, where arbitrary orientations of the magnetic barriers and arbitrary number of barriers are included. The main finding of our results is that the signs of polarizations can be switched around some ＂geometric unpolarized windows＂. The well-known antiparallel configuration has no such characteristics. Furthermore, we discuss spin-related partial densities of states in both polarized and unpolarized structures.     

显示用上转换绿色发光材料NaYF4∶Er,Yb及其特性

采用喷射微波燃烧合成法制备了上转换发光显示器中发绿光的上转换发光材料NaYF4∶Er,Yb.测试了该材料的XRD衍射图谱和发光效率.给出了该材料在1 064 nm三种激光功率激发下的发光光谱.分析了该材料的上转换发光机理,得到545 nm和662 nm峰值发光分别是Er3+的4S3/2→4I15/2和4F9/2→4I15/2跃迁产生的.NaYF4∶Er,Yb具有较强的上转换绿光,同时存在的较弱的红光易于用滤色膜滤除,满足显示对三基色中绿色的要求;并且喷射微波燃烧合成法制备的该材料达到了高分辨率显示应用超细粉体的要求.     

WDP-500C型平面光栅单色仪应用于实验教学的技术问题

针对WDP-500C型平面光栅单色仪未设有千位数字,致使其报警时不能正确处理的问题,提出了根据滑块的传动距离加长挡光板或将光电报警开关向短波段移动8.0 nm的解决方案,消除了由于单色仪设计问题而产生的故障.     

对苯二甲酸-双(4-甲氧基苯酯)及其衍生物的结构与光谱

在密度泛函理论B3LYP/6-31 G*水平上计算研究了对苯二甲酸-双(4-甲氧基苯酯)及其OH和F腰接取代化合物的几何结构与红外振动光谱和电子光谱性质。研究发现这类化合物的酯基碳氧原子与苯环形成不同的离域大π键,空间位阻效应和共轭效应使三个苯环位于不同平面上,二面角在53°～59°范围。含时密度泛函理论计算第一激发态的电子垂直跃迁能,表明最大吸收光谱全部源于分子中HOMO→LUMO的π→π*跃迁,对应的最大吸收波长数值位于370～384nm之间,属于紫外区。腰接基对这类化合物的几何结构影响不大,仅由于空间位阻效应,使苯环(1)和苯环(2)之间的二面角增大3°～4°,但对其所在苯环的变形及其氢的振动有一定影响。同时,腰接羟基使HOMO→LUMO的能隙略有减小,最大吸收波长略有增大。腰接氟时因弱的共轭效应使得HOMO→LUMO的能隙减小0.1209eV,导致最大吸收波长红移14nm。     

Low-temperature heat capacities and standard molar enthalpy of formation of N-methylnorephedrine C11H17NO（s）

This paper reports that low-temperature heat capacities of N-methylnorephedrine C11H17NO（s） have been measured by a precision automated adiabatic calorimeter over the temperature range from T=78K to T=400K. A solid to liquid phase transition of the compound was found in the heat capacity curve in the temperature range of T=342-364 K. The peak temperature, molar enthalpy and entropy of fusion of the substance were determined. The experimental values of the molar heat capacities in the temperature regions of T=78-342 K and T=364-400 K were fitted to two poly- nomial equations of heat capacities with the reduced temperatures by least squares method. The smoothed molar heat capacities and thermodynamic functions of N-methylnorephedrine C11H17NO（s） relative to the standard refer- ence temperature 298.15 K were calculated based on the fitted polynomials and tabulated with an interval of 5 K. The constant-volume energy of combustion of the compound at T=298.15 K was measured by means of an isoperibol precision oxygen-bomb combustion calorimeter. The standard molar enthalpy of combustion of the sample was calculated. The standard molar enthalpy of formation of the compound was determined from the combustion enthalpy and other auxiliary thermodynamic data through a Hess thermochemical cycle.