Density-functional theory study on the electronic properties of laves phase superconductor CaIr_2

In this work we have used density-functional theory methods such as full-potential local orbital minimum basis(FPLO) and ELK-flapw to study the electronic structure of newly discovered Laves phase superconductor CaIr_2.The calculation of density of states(DOS) indicates that the bands near Fermi level are mostly occupied by the d-electrons of iridium.The simulation of de Haas-van Alphen(dHvA) effect has been performed by using Elk code to check the Fermi surface topology.The results show that there exist four Fermi surfaces in CaIr_2,including two electron-type and two hole-type surfaces.The optical response properties of CaIr_2 have been calculated in the dipole-transition approximations combined with including intra-band Drude-like terms.In the optical spectrum σ(ω) shows that the crossover from intraband to inter-band absorption occur near 1.45 eV.Further analysis on the electron energy loss spectra(EELS) matches the conclusion from that of optical conductivity σ(ω).     

HPM视角下可化为一元二次方程的分式方程教学

1 引言 在沪教版的教科书中,“可化为一元二次方程的分式方程”是八年级下册“代数方程”一章中的内容.教材首先从复习分式方程出发,接着给出可化为一元二次方程的分式方程的定义,最后介绍去分母法解分式方程.教材与教师一般都会强调增根产生的原因以及验根的重要性.笔者不禁产生疑问:历史上分式方程的增根是怎样被发现的?除了去分母法,还有其他方法吗?有没有可以避免产生增根的解法?有没有几何解法?教材并未涉及这些问题.在课堂中,教师多局限于分式方程的求解,而忽略分式方程背后的数学文化元素.     

3S-7-羟基蜂蜜曲霉素分子的晶体结构

从红树林内生真菌Xylariasp．2508中分离到一个新的蜂蜜曲霉素型化合物3S-7-羟基蜂蜜曲霉素,这是首次从海洋真菌中获得该类结构的化合物并测定其晶体结构．通过核磁共振谱、红外光谱、质谱进行结构鉴定．其单晶经X射线衍射测试表明,该化合物晶体属单斜晶系,空间群为P21,化学式为C10H12O5,Mr=212．20．晶胞参数为:a=10．8884(19)(A|。),b=7.2284(13)(A|。),c=13．398(2)(A|。),β=104．217(3)°,V=1022．2(3)(A|。)3,Z=4,Dc=1．379 mg／m3, F(000)=448,μ=0．112 mm-1．结构由直接法解出,用全矩阵最小二乘法修正,最终偏离因子R=0．0498,wR=0．101．该分子由一个苯并吡喃环组成．通过与文献中已知3R-7-羟基蜂蜜曲霉素的熔点及旋光度对照,确定其绝对构型为3S．其初步抑菌实验结果表叫,3S-7-羟批蜂蜜曲霉素菌在每纸片200μg的剂量下对金黄色葡萄球菌(Staphylococcus aureus)没有表现出抑菌活性．     

期望值原理下的最优再保险

The paper concerns the problem how to purchase the reinsurance in order to make the insurer and the reinsurance company's total risk to be least under the expected value principle. When the insurer and reinsurance company take arbitrary risk measures, sufficient conditions for optimality of reinsurance contract are given within the restricted class of admissible contracts. Further, the explicit forms of optimal reinsurance contract under several special risk measures are given, and the method to decide parameters as well.     

894nm高温垂直腔面发射激光器及其芯片级铯原子钟系统的应用

报道了自行研制的894 nm高温垂直腔面发射激光器(VCSEL)以及基于此类器件的芯片级铯原子钟系统的应用实验结果.根据芯片级铯原子钟对VCSEL在特定高温环境下产生894.6 nm线偏振激光的要求,对器件的量子阱增益及腔模位置等材料结构参数进行了优化,确定增益-腔模失谐量为-15 nm,使器件的基本性能在高温环境下保持稳定.研制的VCSEL器件指标为:20—90?C温度范围内阈值电流保持在0.20—0.23 m A,0.5 m A工作电流下输出功率0.1 mW;85.6?C温度环境下激光波长894.6 nm,偏振选择比59.8:1;采用所研制的VCSEL与铯原子作用,获得了芯片级铯原子钟实施激光频率稳频的吸收谱线和实施微波频率稳频的相干布居囚禁谱线.     

卵磷脂/正丙醇/肉豆蔻酸异丙酯/水微乳体系的相结构研究

以卵磷脂为表面活性剂,正丙醇为助表面活性剂,肉豆蔻酸异丙酯(IPM)为油相,配制成W/O型微乳。并通过浊点法、电导法、动态光散射法(DLS)以及差示扫描量热法(DSC)研究了微乳相结构随含水量的变化。对于选定配比微乳,浊点法在含水量超过10.71%时变浑浊;电导率在含水量达到3.85%之前增长缓慢,之后快速增大,含水量超过10.71%时电导率下降;DLS显示微乳粒径随含水量先减小后增大,其转折点在5.66%,而含水量超过10.71%后粒径突增3个数量级;DSC曲线在含水量超过3.85%后出现水的结晶峰,且随含水量的增大峰位往高温方向平移,同时峰面积增大。当含水量达到11.5%时出现两水峰叠加。研究表明含水量在3.85%~5.66%范围内属于W/O向双连续相转变的过程,而含水量10.71%则是体系发生相分离的临界点。     

卵磷脂/正丙醇/肉豆蔻酸异丙酯/水微乳体系的相结构研究

以卵磷脂为表面活性剂,正丙醇为助表面活性剂,肉豆蔻酸异丙酯(IPM)为油相,配制成W/O型微乳。并通过浊点法、电导法、动态光散射法(DLS)以及差示扫描量热法(DSC)研究了微乳相结构随含水量的变化。对于选定配比微乳,浊点法在含水量超过10.71%时变浑浊;电导率在含水量达到3.85%之前增长缓慢,之后快速增大,含水量超过10.71%时电导率下降;DLS显示微乳粒径随含水量先减小后增大,其转折点在5.66%,而含水量超过10.71%后粒径突增3个数量级;DSC曲线在含水量超过3.85%后出现水的结晶峰,且随含水量的增大峰位往高温方向平移,同时峰面积增大。当含水量达到11.5%时出现两水峰叠加。研究表明含水量在3.85%~5.66%范围内属于W/O向双连续相转变的过程,而含水量10.71%则是体系发生相分离的临界点。     

推广的相关序及其一些性质

本文考虑相关风险序，首先，把Dhaene和Goovaerts于1996年提出的相关序由二维随机向量推广到了多维随机向量的情况；然后，我们讨论了推广的相关序的一些性质；最后作为推论，我们还得到：由相关序可以推出指数序．     

多生命状态增额寿险的双随机模型

In this paper the dual random model of increasing life insurance for multiple-life status is discussed. The rnth moment of the present value of benefits are calculated and the respective expressions of the moments under joint life status or last- survivor status are presented.Fur-thermore,the limiting distribution of average cost of a portfolio of increasing life insurance for multiple-life status is studied.