4fN-15d energy levels of lanthanides: aquasi-angular-momentum approach and its application to Cs2NaYF6:Er3+

<正>The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4f^N-15d configuration of heavy lanthanide ions occupying a site with ligands forming an octahedron.This paper derives theoretical results for the energy structure by treating the t₂ orbitals as quasi p orbitals and then using angular-momentum coupling techniques.An analytic expression for the electric dipole absorption line strengths between 4f^N multiplets and 4f^N-15d states is given in terms of various angular-momentum quantum numbers and re-coupling coefficients.The result is then applied to interpret the excitation spectrum of Cs₂NaYF₆:Er³⁺.The high-spin and low-spin states of Cs₂NaYF₆:Er³⁺ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.     

Structural Deformation of CO22+ in Intense Femtosecond Laser Fields

The angular distributions of CO^＋ from the dissociation of CO2^2＋ and CO2^＋ in intense femtosecond laser fields （45 fs, about 5 × 10^15 W/cm^2） are studied at a laser wavelength of 800nm based on the time-of-flight mass spectra of CO^＋ fragment ions. The experimental results show that structural deformation occurs in the charge state of CO2^2＋ and the CO^＋ maintains linear geometrical structure.     

模糊随机参数二维声场数值计算

解决声场参数同时具有模糊性和随机性的问题,实现模糊随机声场声压响应的预测,引入了信息熵理论,利用信息熵的等效转换,将模糊随机声场转化为纯随机声场或者纯模糊声场进行求解,推导了基于摄动法的二维随机声场和模糊声场的有限元计算公式。以模糊随机参数下的二维管道声场模型和某轿车二维声腔模型为例进行了数值计算,所得结果与蒙特卡洛法(Monte Carlo Method)所预测声压变化范围基本一致,同时,转化为纯随机声场和纯模糊声场所求得声压响应变化范围也基本一致,说明了本文方法计算结果的准确性。因此本文方法能很好地应用于模糊随机参数下二维声场的预测,具有重要的工程应用价值。     

义务教育七年级数学研究性学习的一个案例

本案例依照北师大版义务教育课程标准实验教科书及其教学参考书 (七年级上册 )的指导思想进行设计和教学 ,文中的问题是以该教科书第 1 1 1页复习题C组第 3题为背景进行加工拓展而成的 ,特此说明 .1　学生作业单之一1 1　动手实践 :操作 1　用棋子摆出图 ( 1 )、( 2 )、( 3) ,数一数 :摆图 ( 1 )用个棋子 ,摆图 ( 2 )用个棋子 ,摆图 ( 3)用个棋子 .操作 2　按照上述方式摆出第 ( 4 )个图形和第 ( 5 )个图形 ,数一数 :摆图 ( 4 )用个棋子 ,摆图 ( 5 )用个棋子 .提示 :摆出第 ( 4 )、( 5 )个图形的方式是否唯一呢 ?1 2　自主探索 :问题 1　…     

Design on a highly birefringent and nonlinear photonic crystal fiber in the C waveband

In this paper, a novel photonic crystal fiber （PCF） with high birefringence and nonlinearity is designed. The charac- teristics of birefringence, dispersion and nonlinearity are studied by using the full-vector finite element method （FVFEM）. The numerical results show that the phase birefringence and nonlinear coefficient of PCF can be up to 4.51× 10-3 and 32.8972 w-l.km-1 at 1.55 μm, respectively. The proposed PCF could be found to have important applications in the polarization-dependent nonlinear optics such as the pulse compress and reshaping in the C waveband.     

Controllable synthesis of high aspect ratio Mg_2B_2O_5 nanowires and their applications in reinforced polyhydroxyalkanoate composites

Highly pure magnesium borate （Mg2B2O5） nanowires with an average diameter of - 30 nm, an average length of 15 μm, and a high aspect ratio of - 500 have been synthesized on a large scale via a two-step method. MgBO2（OH） nanowires with high aspect ratios were first prepared via a PVP-assisted hydrothermal technique. Using these nanowires as precursors, single crystalline Mg2B205 nanowires were synthesized by post-annealing treatment at a relatively low temperature of 700 ℃. The important effect of the MgBO2（OH）-Mg2B2O5 conversion process on the morphology of the Mg2B2O5 nanowires was investigated and it was indicated that the recrystallization process plays an important role in the protection of the one-dimensional （1D） nanostructure. Moreover, the rigidity and the toughness of the Mg2B2O5 nanowire- reinforced PHA composites were tremendously improved compared to those of the pure PHA. Our results demonstrate the effectiveness of Mg2B2O5 nanowires for reinforcement applications in polymer composites.     

基于光谱响应差异的HJ-1B热红外通道星上定标系数验证

HJ-1B卫星热红外通道自发射以来共进行了7次星上黑体定标,然而针对星上定标系数的验证工作开展较少。通过半高宽法、矩方法和查找表法计算得到2009年9月14日星上定标系数。以具有较高定标精度的MODIS为参考源,基于MODIS第31,32通道和HJ-1B热红外通道的光谱响应特性,改进对应热红外通道的光谱匹配算法,建立两传感器表观辐亮度的匹配关系,进而通过Planck公式计算出HJ-1B热红外通道的等效水表亮温,通过与HJ-1B热红外通道基于星上定标系数得到的反演水表亮温进行比较,实现对星上定标系数的验证。以光谱响应差异计算的等效亮温值为285.97 K,半高宽法、矩方法和查找表法星上定标系数反演亮温值分别为288.77,274.52和285.97 K。结果显示,半高宽法、矩方法和查找表法星上定标系数反演亮温与光谱响应差异计算的等效亮温偏差分别为2.8,-11.46和0.02 K。结果表明,HJ-1B热红外通道星上定标方法中以查找表法星上定标系数计算结果精度较高。同时证明了基于光谱响应差异的HJ-1B热红外通道星上定标系数验证方法有效可行。     

在同位旋空间中正反质子弹性散射的重整化混合圈链图效应

本文采用描述荷电和中性 pion 介子与核子-反核子强相互作用的同位旋SU(2)不变耦合模型,计算出在 pion0 重整化混合圈链图传播下 p pbar -> p pbar 弹性散射微分截面的“精确”解析结果;并且将此结果与在 pion0 树图传播下的微分截面作了对比分析,得到相应的辐射修正重要信息。本文完成的工作对进一步深入研究 pion 介子与核子-反核子强相互作用的同位旋SU(2)不变耦合模型以及深入理论探讨正反质子对撞实验,都将提供理论研究的参考价值。     

Y3Al5O12：Eu^3＋磷光体的溶胶—凝胶法合成及发光特性

以金属烷氧基化合物为原料．采用溶胶-凝胶法在1000℃下合成了Eu^3 掺杂的Y3Al5O12(YAG)磷光体。利用TG-DSC，XRD和发光光谱等对样品进行了表征。结果表明，YAG：Eu^3 的晶相形成温度为991℃。Eu^3 在非晶态和晶态YAG中的发射光谱有明显差异。研究了Eu^3 含量和烧结温度对Eu^3 的^5D0→^7F1和^5D0→^7F2发射峰强度的影响。随煅烧温度的升高和Eu^3 浓度的增加，Eu^3 发射峰强度增强。     

基于异步时序的高帧频相机垂直拖尾处理

介绍一种高帧频相机垂直拖尾影响的解决方法,该方法同时考虑连续采集模式下帧间图像和像元合并（binning）技术的影响。与常用的静态图像拖尾处理的算法如逆向逐行修正算法相比,该算法非常适用于连续图像拖尾处理,特别是经过Binning后获取的图像。在某自主研制的基于异步时序的40 000 帧/秒高速相机中应用该方法,有效去除了拖尾影响。最后,运用该方法处理的图像验证了算法的有效性。