Intertwining operators for Sklyanin algebra and elliptic hypergeometric series

Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ?$?$ and −?−1$-?-1$ are constructed using the technique of intertwining vectors for elliptic L$L$-operator. They are expressed in terms of elliptic hypergeometric series with operator argument. The intertwining operators obtained (W$W$-operators) serve as building blocks for the elliptic R$R$-matrix which intertwines tensor product of two L$L$-operators taken in infinite-dimensional representations of the Sklyanin algebra with arbitrary spin. The Yang–Baxter equation for this R$R$-matrix follows from simpler equations of the star–triangle type for the W$W$-operators. A natural graphic representation of the objects and equations involved in the construction is used.     

Hydrogen abstraction from H‐donor substrates by the 6‐CF3‐benzotriazol‐N‐oxyl radical (TFNO)

The aminoxyl radical 6‐trifluoromethyl‐benzotriazol‐N‐oxyl (TFNO) has been generated from the parent hydroxylamine 6‐CF₃‐1‐hydroxy‐benzotriazole (TFBT) by one‐electron oxidation with a Ce^IV salt and characterized by spectrophotometry and cyclic voltammetry (CV). Rate constants of H‐abstraction (k_H) by TFNO from a number of H‐donor benzylic substrates have been determined spectrophotometrically in MeCN solution at 25 °C. A radical H‐atom transfer (HAT) route of oxidation is substantiated for TFNO by several pieces of evidence. The kinetic data also testify the relevance of stereoelectronic effects upon the HAT reactivity of TFNO. Copyright © 2010 John Wiley & Sons, Ltd.     

Femtosecond stimulated Raman spectroscopy

Advances in the field of Femtosecond Stimulated Raman Spectroscopy (FSRS), a new time‐resolved structural technique that provides complete vibrational spectra on the ultrafast timescale, are reviewed. When coupled with a femtosecond optical trigger, the time evolution of a reacting species can be monitored with unprecedented <25 femtosecond temporal and 5 cm^‐1 spectral resolution. New technological and theoretical advances including the development of tunable FSRS and a background‐free FSRS format are discussed. The most recent experimental studies focus on ultrafast reaction dynamics in electronically excited states: isomerization in cyanobacterial phytochrome, ultrafast spin flipping in a solar cell sensitizer, and excited state proton transfer in green fluorescent protein. The use of FSRS to directly map multidimensional reactive potential energy surfaces and to probe the mechanism of reactive internal conversion is prospectively discussed.     

Comparative electroabsorption studies of organic and inorganic solids

Spectral changes induced by moderate electric fields provide detailed insight into the electronic states of organic and inorganic solids. Although the basic effects, Stark effect and Franz–Keldysh effect, are the same in both types of material, the electroabsorption spectra vary strongly in size and spectral lineshape due to competing interactions. The large variance of the effects is demonstrated by representative examples of high mobility semiconductors, quantum wells, π-conjugated polymers, and charge transfer transitions in single crystals, disordered films and a double-quantum well. It is shown that only high-quality samples reveal the quantum mechanics of field-induced effects which are very sensitive to disorder.     

圆管层流脉冲流动对流换热数值分析

对等热流和等壁温边界条件下圆管内层流脉冲流动对流换热问题进行了数值模拟。在等热流边界条件下的数值计算结果与理论解吻合很好。计算结果表明:在等热流和等壁温边界下脉冲流动可引起速度、温度以及努塞尔数随时间波动,振幅越大,脉冲频率越小,波动越大。但它们的时均值均等于在相同雷诺数下稳态流动的值,脉冲流动不能强化换热。     

微小圆通道内流动沸腾换热特性的研究

微小通道内相变换热具有热流密度高、单位体积内换热面积大、结构紧凑等特点,成为高效紧凑式换热器设计的重要途径。本文以氟利昂R113为工质,完成了0.7、1.1和1.4 mm的圆形小通道内的流动沸腾实验,对小通道内流动沸腾换热特性进行了分析,拟合了计算沸腾换热特性的实验关联式,为工程实际应用提供参考。     

水平梯度表面能材料表面上的滴状凝结换热系数

本文在均质表面的单个球缺形液滴换热模型和液滴通用尺度分布规律的基础上,结合梯度表面能材料表面的液滴分布和凝结换热特性,得到了一维水平梯度表面能材料表面上的滴状凝结换热计算式。在此基础上,研究了壁面过冷度、接触角梯度、工质物性等参数对梯度表面能材料表面滴状凝结换热性能的影响。结果表明:随着过冷度的增加和凝结工质汽化潜热的增大和表面张力的减小和接触角梯度的增大,平均表面凝结换热系数会增大。     

基于光学传输矩阵的太赫兹时域光谱分析

提出了基于光学传输矩阵的提取太赫兹时域光谱光学参数的理论方法。相比于传统的提取主脉冲方法,该方法在未来可以推广用以分析主脉冲与次脉冲无法分辨的太赫兹时域光谱。利用该方法得到了蓝宝石(α-Al2O3)样品在0.3~1.0太赫兹频段的复折射率。通过与利用提取主脉冲方法得到的复折射率的结果比较,验证了基于光学传输矩阵的理论分析方法的可靠性和精确性。所提出的方法为今后主次脉冲无法分辨的太赫兹时域光谱的准确分析提供了坚实的理论基础。     

K_2(9~1∑~+_g)高位电子态与H_2碰撞中H_2的能量分布

光学-光学双共振激发K2到91∑+g高位态,研究了K2(91∑+g)与H2的电子-振转碰撞能量转移。利用相干反斯托克斯(CARS)光谱技术探测H2的振转态分布,扫描CARS谱表明H2在(1,1)、(2,1)、(2,2)、(3,1)、(3,2)、(3,3)和(3,5)能级上有布居。由时间分辨CARS轮廓得到H2各振转能级上粒子数之比,得到H2的平均振动能和平均转动能分别为9063cm-1和388cm-1。从91∑+g→11∑+u、11∑+u→11∑+g、33∏g→13∑+u跃迁的时间分辨激光感应荧光(LIF)强度得到它们的自发辐射率和碰撞转移率。在H2压强为3×103Pa时,K2(91∑+g)与H2的碰撞转移能为16930cm-1。H2的平均振转能占平均转移能的56%。     

亚10 μm线宽的投影光刻物镜设计及其成像性能的实验测定

 采用Zemax软件设计出6镜片、数值孔径为0.06、2倍缩小、以405 nm半导体激光器为光源、分辨精度达5 μm、视场12 mm×12 mm 内波像差小于1/4波长、畸变小于0.005%的双远心投影光刻物镜的设计方法。将设计的物镜实物化,并对其光学传递函数(MTF)作精确的实验测定,利用所提出的MTF标准实验测量法,得到该投影物镜的成像性能达亚10 μm线宽。