自辐射场下CUO分子光谱研究

铀原子和碳、氧原子分别使用相对论有效原子实势（Relativistic Effective Core Potential）和6-311+G(d)基组,采用优选的密度泛函B3P86方法,研究了铀本身产生自辐射场（-0.005～0.005a.u.）作用下CUO基态分子的能隙Eg和谐振频率ν.结果表明：CUO分子在自辐射场中反对称伸缩振动频率ν3(σg)和对称伸缩振动频率ν1(σg)与实验值852.6 cm-1、804.4cm-1基本吻合. Eg始终处于增大的趋势,占据轨道的电子难以被激发至空轨道而形成激发态,CUO分子在自辐射场中更趋于稳定,可以阻止O2、CO2等扩散到表面内层而腐蚀铀表面,有利于了铀在自辐射场中抗腐蚀．     

自辐射场下UO_2分子光谱研究

铀原子和氧原子分别使用相对论有效原子实势(Relativistic Effective Core Potential)和6-311+G(d)基组,采用优选的密度泛函B3P86方法,研究了铀本身产生自辐射场(-0.005~0.005a.u.)作用下UO2基态分子的能隙Eg和谐振频率ν.结果表明:能隙Eg=2.0028eV、1.9974eV,接近实验值2.1eV,UO2在自辐射场中具有半导体性质;反对称伸缩振动频率ν3(σg)、弯曲振动频率ν2(πu)和对称伸缩振动频率ν1(σg)与实验值776.1cm-1、225.2cm-1、765.4cm-1基本吻合.     

自辐射场下UO2分子光谱研究

铀原子和氧原子分别使用相对论有效原子实势（Relativistic Effective Core Potential）和6-311+G(d)基组,采用优选的密度泛函B3P86方法,研究了铀本身产生自辐射场（-0.005～0.005a.u.）作用下UO2基态分子的能隙Eg和谐振频率ν.结果表明：能隙Eg＝2.0028eV、1.9974 eV,接近实验值2.1eV,UO2在自辐射场中具有半导体性质;反对称伸缩振动频率ν3(σg)、弯曲振动频率ν2(πu)和对称伸缩振动频率ν1(σg)与实验值776.1 cm-1、225.2 cm-1、765.4cm-1基本吻合.     

自辐射场下PuO2分子光谱研究

在相对论有效原子实势（RECP）近似下,采用优选的密度泛函 B3P86方法,研究了钚本身产生自辐射场（-0.005～0.005a.u.）作用下PuO2基态分子的能隙Eg和谐振频率ν.结果表明：能隙Eg＝3.157eV,接近实验值1.8eV,PuO2在自辐射场中具有半导体性质;反对称伸缩振动频率ν3(σg)、弯曲振动频率ν2(πu)和对称伸缩振动频率ν1(σg)与实验值794.3 cm-1、230.2、746.5cm-1基本吻合.     

自辐射场下UO_3分子光谱研究

铀原子和氧原子分别使用相对论有效原子实势(Relativistic Effective Core Potential)和6-311+G(d)基组,采用优选的密度泛函B3P86方法,研究了铀本身产生自辐射场(-0.005~0.005 a.u.)作用下UO_3基态分子的最高占据轨道(HOMO)能级EH、最低空轨道(LUMO)能级EL、能隙Eg、费米能级FL和谐振频率ν.结果表明:UO_3分子在自辐射场中的谐振频率ν2(b1)、ν3(a1)、ν4(a1)和ν6(b2)与实验值151.5 cm-1、186.2 cm-1、745.7cm-1和852.6 cm-1基本吻合.EH随自辐射场的增加而减少,EL随自辐射场的增加而增大,Eg始终处于增大的趋势,费米能级FL上升,占据轨道的电子难以被激发至空轨道而形成激发态,UO_3分子在自辐射场中更趋于稳定,可以阻止O_2、H2等扩散到表面内层而腐蚀铀表面,有利于了铀在自辐射场中抗腐蚀.     

自辐射场下UO3分子光谱研究

铀原子和氧原子分别使用相对论有效原子实势（Relativistic Effective Core Potential）和6-311+G(d)基组，采用优选的密度泛函B3P86方法，研究了铀本身产生自辐射场（-0.005～0.005a.u.）作用下UO3基态分子的最高占据轨道（HOMO）能级EH、最低空轨道（LUMO）能级EL、能隙Eg、费米能级FL和谐振频率ν．结果表明：UO3分子在自辐射场中的谐振频率ν2(b1)、ν3(a1) 、ν4(a1) 和ν6(b2)与实验值151.5 cm-1、186.2 cm-1、745.7 cm-1和852.6cm-1基本吻合．EH随自辐射场的增加而减少，EL随自辐射场的增加而增大，Eg始终处于增大的趋势，费米能级FL上升，占据轨道的电子难以被激发至空轨道而形成激发态，UO3分子在自辐射场中更趋于稳定，可以阻止O2、H2等扩散到表面内层而腐蚀铀表面，有利于了铀在自辐射场中抗腐蚀．     

自辐射场下UN2分子的光谱研究

对铀原子和氮原子分别使用相对论有效原子实势和6-311+G(d)基组, 采用优选的密度泛函B3P86方法, 研究了铀本身产生自辐射场(-0.005–0.005 a.u.)作用下UN₂基态分子的能隙E_g和谐振频率ν. 结果表明: UN₂分子在自辐射场中反对称伸缩振动频率ν₃(σ_g)和对称伸缩振动频率σ₁(σ_g)与实验值1051.1 cm^-1和1008.3 cm^-1 基本符合; E_g随自辐射场场强的增大而趋于减少, 占据轨道的电子容易被激发至空轨道而形成激发态; UN₂分子在自辐射场中趋于不稳定, N₂, O₂等更容易扩散到表面内层而腐蚀铀表面, 加剧了铀在自辐射场中的腐蚀.     

NiH2分子的结构及其势能函数

应用群论及原子分子反应静力学方法推导了NiH2分子基态的电子态及其离解极限,在MP2/6-311G水平上,优化出NiH2(3Δg)分子稳定构型为D∞h,其平衡核间距Re=0.157 3 nm、∠HNiH=180.00°,同时计算出振动频率:对称伸缩振动频率ν1=2 000 cm-1,弯曲振动频率ν2=721 cm-1和反对称伸缩振动频率ν3=1 875 cm-1.在此基础上,使用多体项展式理论方法,导出了基态NiH2分子的全空间解析势能函数,该势能函数准确地再现了NiH2(D∞h)平衡结构.     

Si_3分子基态(X~1A_1)的结构与分析势能函数

应用群论及原子分子反应静力学方法推导Si分子的电子态及其离解极限,在B3P86/CC-PVTZ水平上,对Si3分子基态进行优化计算,得出Si3基态的单重态能量最低,其稳定构性为的C2V构型,平衡核间距Re=0.2176nm、∠213=79.7°,能量为-869.2057a.u..同时计算出基态的简正振动频率:对称伸缩振动频率ν(B2)=547.6446cm-1,弯曲振动频率ν(A1)=185.6100cm-1和反对称伸缩振动频率ν(A1)=559.6090cm-1.在此基础上,使用多体项展式理论方法,导出了基态Si3分子的全空间解析势能函数,该势能函数准确再现了Si3(C2V)平衡结构.     

用耦合簇方法及相关一致基研究PH2(X2B1)自由基的解析势能函数

利用耦合簇方法和Dunning等提出的系列相关一致基对PH2自由基的基态结构进行优化,并使用优选出的cc-pV5Z基组对其进行频率计算.结果表明,平衡核间距RP-H=0.14185 nm,键角αHPH=91.8624°,离解能De(HP-H)=3.483 eV,对称伸缩振动频率ν1(a1)=2399.9781cm-1,弯曲振动频率ν2(a1)=1128.4213 cm-1,反对称伸缩振动频率ν3(b2)=2407.8374 cm-1.在此基础上采用多体项展式理论导出了PH2自由基的解析势能函数,其等值势能图准确再现了PH2自由基分子的平衡结构特征和动力学特征.     

Self-organization of five species in a cyclic competition game

Cyclic competition game models, particularly the “rock–paper–scissors” model, play important roles in exploring the problem of multi-species coexistence in spatially ecological systems. We propose an extended “rock–paper–scissors” game to model cyclic interactions among five species, and find that two of the five can coexistent when biodiversity disappears, which is different from the “rock–paper–scissors” game. As the number of fingers is five, we named the new model the “fingers” game, where the thumb, forefinger, middle finger, ring finger, and little finger cyclically dominate their subsequent species and are dominated by their former species. We investigate the “fingers” model in two ways: direct simulations and nonlinear partial differential equations. An important finding is that the number of species in a cyclic competition game has an influence on the emergence of biodiversity. To be specific, the “rock–paper–scissors” model is in favor of maintaining biodiversity in comparison with the “fingers” model when the variables (population size, reproduction rate, selection rate, and migration rate) are the same. It is also shown that the mobility and reproduction rate can promote or jeopardize biodiversity.     

Contrastive analysis on tone between Putonghua and Taiwan Mandarin

The differences of the pitch and duration of Chinese syllables between Putonghua （PTH） and Taiwan Mandarin （TM） were studied. The speech materials to be used are not only isolated syllables, but also sentences. The results reveal that： For the isolated syllables, T1 and T2 in TM are influenced by Minnan dialect, therefore their pitch are lower than those in PTH. T3 is fall-rise in PTH, while it is fall in TM. Moreover, the syllable duration sequence for different tone is T3〉T2〉T1〉T4 in PTH, while it is T1〉T2〉T3〉T4 in TM. For the syllables in sentences, T2 is mid-rise in PTH, while it is mid-level in TM. And the T3 is longer than T4 but shorter than T1 or T2 in PTH, while it is the shortest in TM. Furthermore the effects of prosodic phrase boundary on duration for different tones are almost the same in PTH, but the lengthening part of T1 or T2 is longer than that of T3 or T4 in TM.     

Experimental study on downstep in Chinese intonation

Downstep in pitch contour of Chinese Putonghua is examined using subtly designed sentences by controlling tone combinations. The results show both automatic and nonautomatic downstep phenomena exist in Chinese. In non-automatic downstep, low tones compress downwards the pitch range of the following syllables. and the main influence of downstep is on topline. Low tone not only lower the topline behind it, but also raise the high tones before it, the effects are compatible with each other. In automatic downstep, the topline of pitch contour in intonational phrase is presented as a linear downtrend, but it differs among speakers due to the effect of personal stress practice. In comparison with downstep phenomenon in other tone or non-tone languages, the downstep ratio in Chinese is not constant, and the domain of downstep is not limited within the adjacent tones.     

Abelian-Higgs phase of SU(2) QCD and glueball energy

It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum of a type-Ⅱ superconductor. This is done by using a connection decomposition for the gluon field and the random-direction approximation. Using a bag picture with soft wall, we presented a calculational procedure for the glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].     

Theoretical analysis and simulation of conjugate heights for dual-conjugate AO system in lidar

A multi-conjugate adaptive optics （MCAO） can offer a possibility of widening field of view （FOV） characterized by the isoplanatic angle, and the choose of conjugate height becomes a basic problem for MCAO, which influences the size of iosplanatic angle. Considering the application of lidar, the isoplanatic angle＇s expressions of two deformable mirrors （DMs） MCAO for uplink and downlink are deduced. The effects of conjugate heights for dual-conjugate AO are thoughtfully discussed, and the isoplanatic angles are further analyzed. The results show that the isopanatic angle varies with the conjugate height and reaches the maximum as the conjugate height is at the optimal altitude. Moreover, the optimal conjugate height changes with the propagation distance.     

Quick single-photon detector with many avalanche photo diodes working on the time division

Due to the limit of response speed of the present single-photon detector, the code rate is still too low to come into practical use for the present quantum key distribution (QKD) system.A new idea is put up to design a quick single-photon detector.This quick single-photon detector is composed of a multi-port optic-fiber splitter and many avalanche photo diodes (APDs).Au of the ports with APDs work on the time division and cooperate with a logic discriminating and deciding unit driven by the clock signal.The operation frequency lies on the number N of ports, and can reach N times of the conventional single-photon detector.The single-photon prompt detection can come true for high repetition-rate pulses.The applying of this detector will largely raise the code rate of the QKD, and boost the commercial use.     

Signal generation in an isotropic medium in scanning electron acoustic microscope

Based on the research in Ref. [5][Materials Science and Engineering, 1989; A122： 57 63], an improved model of heat source is set up, the different modes of Lamb wave in an isotropic sample generated by a chopped electron beam at frequency f are obtained with integral transform and normal function expansion method, and the output signal of PZT coupled at the back surface of the sample is found out. The generation mechanism of SEAM （Scanning Electron Acoustic Microscopy） signal is discussed. It shows that the SEAM is a near field imaging technique with high spatial resolution and its best lateral spatial resolution is about 2√2α （α is the radius of the focused electron beam）. Some of experimental results of SEAM images are presented in the paper and it shows that the spatial resolution of SEAM is better than 0.5 μm and smaller than the thermal diffusion length of the sample. Therefore the character of near field imaging in SEAM is also proved experimentally.     

High efficiency filtering using two-dimensional photonic crystal coupled cavity structures

Transmission spectra of coupled cavity structures (CCSs) in two-dimensional (2D) photonic crystals (PCs) are investigated using a coupled mode theory, and an optical filter based on CCS is proposed. The performance of the filter is investigated using finite-difference time-domain (FDTD) method, and the results show that within a very short coupling distance of about 3λ, where λ is the wavelength of signal in vacuum, the incident signals with different frequencies are separated into different channels with a contrast ratio of 20 dB. The advantages of this kind of filter are small size and easily tunable operation frequencies.