The Categorification of Fermions

In this paper, we lift Fermions to functors acting on some homotopy category by the Boson–Fermion correspondence and get the categorified relations of Fermions. In this way, both the categorified Bosons and the categorified Fermions can be viewed as functors on the same category. We also give actions of these functors on the charged Young diagrams(or equivalently, Maya diagrams), so that the classical theory of Boson–Fermion correspondence is very well recovered as a result of such a categorification.     

Evolution of Hyperbolic-Secant Pulses Towards Cross-Phase Modulation Induced Optical Wave Breaking and Soliton or Soliton Trains Generation in Quintic Nonlinear Fibers

The approximate analytical frequency chirps and the critical distances for cross-phase modulation induced optical wave breaking (OWB) of the initial hyperbolic-secant optical pulses propagating in optical fibers with quintic nonlinearity (QN) are presented. The pulse evolutions in terms of the frequency chirps, shapes and spectra are numerically calculated in the normal dispersion regime. The results reveal that, depending on different QN parameters, the traditional OWB or soliton or soliton pulse trains may occur. The approximate analytical critical distances are found to be in good agreement with the numerical ones only for the traditional OWB whereas the approximate analytical frequency chirps accords well with the numerical ones at the initial evolution stages of the pulses.     

基于光谱分析的重载车辆变速箱可靠性评估方法研究

润滑油光谱分析是变速箱磨损状态监测的重要手段。以某重载车辆变速箱台架试验中润滑油原子发射光谱分析得到的元素成分含量检测数据为基础,通过相关性分析和磨损机理分析确定了能够反映整机磨损状态和失效特点的金属元素,并对补油、换油后的光谱检测数据进行了修正,将变速箱试验过程中特征金属元素的含量随试验时间的变化规律表示为线性函数的形式。然后,综合考虑检测数据的时序规律与离散性,利用不同时刻光谱检测数据的正态分布均值和标准差进行变速箱可靠性评估,进一步讨论了失效阈值对可靠性评估结果的影响。研究表明,重载车辆变速箱润滑油中的Cu元素浓度与其他金属元素浓度的相关性较高、绝对值较大,既能够反映变速箱整体磨损状态,又便于检测,利用多个试验样本的润滑油Cu元素浓度光谱检测时序数据,可以对重载车辆变速箱进行可靠性评估;若失效阈值取定值,则失效阈值越大,同一时刻变速箱的可靠度越高;若失效阈值取随机分布,则失效阈值的离散度越大,可靠度随时间延长而降低的趋势越缓慢。当可靠度R大于0.9时,失效阈值的均值对可靠性评估结果的影响十分显著,同一时刻变速箱的可靠度随失效阈值标准差的增大而降低。将光谱分析与概率统计学结合进行变速箱可靠性评估方法研究,扩展了光谱分析技术的应用范围,具有创新性。     

主链含N-烷基咔唑环结构聚芳醚酮的性能表征

对含N-烷基咔唑环结构的聚芳醚酮(PPCzE、PPCzB和PPCzH)进行基本物理性能方面的表征,并与商业化酚酞基聚芳醚酮(PEK-C)进行比较。 咔唑环结构的引入使聚合物在345 nm附近有强紫外光吸收并表现出发蓝光能力。 由于疏水性烷基侧链的存在,聚合物薄膜的水接触角(87°~103°)大于PEK-C(76°),但同时烷基侧链所引起的聚合物链间距的增大导致聚合物的吸水率(0.65%~0.86%)高于PEK-C(0.56%)。 此外,聚合物表现出较好的尺寸稳定性(平均线膨胀系数6.4×10^-5 ℃^-1)和电绝缘性能(体积电阻率10¹⁶ Ω·cm)。 聚合物的拉伸模量在1.9~2.0 GPa之间,拉伸强度在72.5~75.0 MPa之间以及断裂伸长率在6.5%~7.2%之间。 高温条件下(≤225 ℃),PPCzE仍具有良好的拉伸性能。     

Tcn and Tcn@C70 Endohedral Metalofullerenes: ab initio Spin-density-functional Calculations

Ab initio spin-density-functional calculations have been performed to study the equilibrium structural, electronic, and magnetic properties of Tcn and Tc_n@C₇₀ endohedral metalofullerenes. Our results indicate that C₇₀ can encapsulate Tcn clusters with up to n=9 atoms. Except n=2, the formation of Tc_n@C₇₀ endohedral metalofullerenes is predicted to be exothermic when n≤5, while the encapsulation process becomes increasingly endothermic beyond n=5. When encapsulating into the C₇₀ cage, the geometries as well as electronic structures of the Tc cluster undergo comparative changes. Especially, compared to the isolated Tcn clusters, the total magnetic moments of Tc_n@C₇₀ reduce significantly. The analyses of the orbital population, Hirshfeld population and density of states show that electrons transfer from the Tc cluster to the carbon cage through the Tc-C efficient hybridization, which is responsible for such reduction of the whole magnetism.     

LaCo取代M型钡铁氧体致密化及磁性能研究

用固相法制备M型钡铁氧体Ba1-xLaxFe12-x Cox O19(x=0～0.45),研究了取代量和烧结温度对材料致密化及磁性能的影响.结果表明,烧结样品的密度随烧结温度的升高而逐渐增大,并趋于稳定;在相同的烧结温度下,烧结样品的密度随取代量的增加而减小.在1050℃烧结时,饱和磁化强度Ms随取代量的增加而减小,磁晶各向异性场Ha随取代量的增加先增加后减小,Ha在取代量x=0.3时取得极大值630 kA/m.     

Mineralization of surfactant functionalized multi-walled carbon nanotubes (MWNTs) to prepare hydroxyapatite/MWNTs nanohybrid

Multi-walled carbon nanotubes (MWNTs) were well dispersed in water and functionalized by adding surface active agent (i.e., sodium dodecyl sulfate, SDS). Subsequently, biomimetic mineralization was carried out on the SDS functionalized MWNTs by using an alternate soaking process (ASP) in the Ca/P solutions. As-prepared samples were characterized by transmission electron microscope, infrared spectrum and X-ray diffraction. The results show that nano-HA crystals were formed on the SDS functionalized MWNTs and the mineralized MWNTs remained a dispersing state. As-prepared HA-MWNTs nanohybrid combining the osteconductive property of HA and the excellent mechanical property of MWNTs will provide a promising material for bone tissue engineering.     

大气污染物垂直廓线扫描差分吸收光谱方法研究

差分光学吸收光谱法(DOAS)已经成为测量大气痕量气体含量的常用方法,该方法灵敏度高,可同时监测多种大气痕量气体.提出了应用差分吸收光谱方法监测大气痕量气体垂直分布,结合放置数套角反射器的近地层高塔,研制出扫描长光程差分吸收光谱(扫描LP-DOAS)系统.应用此系统于2007年夏季对北京城市重要大气污染物NO2的垂直分布进行了外场监测,准确获得了NO2沿各光路的积分浓度,确定了系统在各光路的检测限和系统总的测量误差.基于垂直廓线模型,成功反演了NO2的垂直廓线和垂直梯度.研究结果表明扫描LP-DOAS技术监测城市大气近地层痕量气体垂直分布的可行性.     

丙烯酰胺基光致聚合物全息光栅的动力学研究

研究了光致聚合物的光化学反应和单体扩散反应的理论模型及动力学参数. 合成了以聚乙烯醇为粘结剂,三乙醇胺为引发剂,藻红B敏化的丙烯酰胺基光致聚合物全息存储材料,通过对测定的透过率和衍射效率进行曲线拟合,分析了染料浓度对光致聚合物的摩尔吸收系数ε、量子产率Φ和光化漂白速率常数k等光化动力学参数的影响规律,以及曝光强度对聚合反应速率k₀、扩散时间常数τ_D和最大折射率调制度Δn等扩散动力 关键词： 光致聚合物 透过率 衍射效率 动力学参数     

Direct visual evidence for chemical mechanisms of SERRS via charge transfer in Au20–pyrazine–Au20 junction

The essence of the chemical mechanism for surface‐enhanced resonance Raman scattering (SERRS) is the charge transfer (CT) between the metal and the molecule at the resonant electronic transition, which results in the mode‐selective enhancement in the SERRS spectrum. The site‐orientated CT can directly interpret the mode‐selective chemical enhancement in SERRS. However, it is a great challenge to intutively visualize the orientation and site of the CT. In this paper, for the pyrazine–Au₂ complex, a three‐dimensional (3D) cubic representation is built to provide direct visual evidence for chemical mechanisms of SERRS via CT from the Au₂ cluster to pyrazine at the resonant electronic transition. The relationship between the mode‐selective enhancements in SERRS and the site‐orientated CT was clearly revealed. The intracluster excitation (analog of plasmon excitation in large naonoparticles) was also visualized by the 3D cubic presentation, which provided the direct evidence of local electromagnetic field enhancement of SERRS. To study the quantum size effect and the coupling effect of the nanoparticles, the photoexcitation mechanisms of the Au₂₀–pyrazine complex and the Au₂₀–pyrazine–Au₂₀ junction were also investigated. The tunneling charge transfer from one Au₂₀ cluster to another Au₂₀ cluster outside the pyrazine in Au₂₀–pyrazine–Au₂₀ junction was also revealed visually. The calculated normalized extinction spectra of Au nanoparticles using the generalized Mie theory reveal that the resonance peak is red‐shifted due to the coupling between particles. Copyright © 2009 John Wiley & Sons, Ltd.