“借题发挥”

偶尔得暇,翻到本刊一九八四期《大有可为的“1984”》一文,见所拟四题,立意各异,其中第四题。作者有意造了一个与两角和的正切公式暗合的函数: f(x)=2-3~(1/2)+x/1-2x+3x~(1/2)(=(2-3~(1/2)/1-(2-3~(1/2)x)))从而给出了该题的     

Electronic structures and energy band properties of Be- and S-doped wurtzite ZnO

The energy band properties, density of states, and band alignment of the BexZn1-xO1-ySy alloy （Be- and S-doped wurtzite ZnO） are investigated by the first-principles method. BexZn1-xO1-ySy alloy is a direct band gap semiconductor, the valence band maximum （VBM） and the conduction band minimum （CBM） of BexZn1-xO1-ySy are dominated by S 3p and Zn 4s states, respectively. The band gap and lattice constant of BexZn1-xO1-ySy alloy can be modulated by changing the doped content values x and y. With the increase in Be content value x in the BexZnl-xOl-ySy alloy, the band gap increases and the lattice constant reduces, but the situation is just the opposite when increasing the S content value y in the BexZn1-xO1-ySy alloy. Because the lattice constant of Be0.375Zn0.625O0.75S0.25 alloy is well matched with that of ZnO and its energy gap is large compared with that of ZnO, so the Be0.375Zn0.625O0.75S0.25 alloy is suitable for serving as the blocking material for a high-quality ZnO-based device.     

Nonequilibrium thermodynamics and fluctuation relations for small systems

In this review, we give a retrospect of the recent progress in nonequilibrium statistical mechanics and thermodynamics in small dynamical systems. For systems with only a few number of particles, fluctuations and nonlinearity become significant and contribute to the nonequilibrium behaviors of the systems, hence the statistical properties and thermodynamics should be carefully studied. We review recent developments of this topic by starting from the Gallavotti–Cohen fluctuation theorem, and then to the Evans–Searles transient fluctuation theorem, Jarzynski free-energy equality, and the Crooks fluctuation relation. We also investigate the nonequilibrium free energy theorem for trajectories involving changes of the heat bath temperature and propose a generalized free-energy relation. It should be noticed that the non-Markovian property of the heat bath may lead to the violation of the free-energy relation.     

实验室天体物理的验证特例:W43A磁喷流

利用神光II号八路激光与平面Al靶相互作用产生双等离子体喷流.利用阿尔芬-欧拉磁流体动力学标度变换理论产生的喷流与天体环境下形成的W43A喷流进行比较.发现在实验室中直接测量的喷流物理量经过变换后,与天文观测数据极其相似,同时提出重联电场对喷流的形成与准直存在直接的影响.     

高频采样下人眼波像差特性研究

为提高自适应光学人眼波像差校正和视网膜成像效果,研究了人眼动态波像差的特性。利用采样频率为300Hz、曝光时间为3ms的哈特曼传感器,搭建波像差探测系统。误差分析和模拟人眼实验表明,该系统对动态波像差的测量误差均方根(RMS)均值仅为0.01λ。人眼波像差探测结果表明,人眼存在150Hz以上的波像差,可能对自适应波像差校正造成影响。这种影响可通过延长探测和成像曝光时间的方法来抑制。为了达到衍射极限,对于稳定盯视状态下的人眼,3ms探测曝光、探测校正周期不超过45ms的自适应系统,其校正残差均方根在λ/14以下;当曝光时间增加到6ms时,该周期可放宽至62ms。研究了倾斜像差的波动对成像的影响,确定了高分辨率人眼眼底成像中,成像曝光时间最长不能超过9ms。上述结果表明,将自适应光学视网膜成像的探测曝光与成像曝光时间均定在6ms左右,可获得更好的校正和成像效果。     

便携式X射线荧光光谱法与原子吸收/原子荧光法测定土壤重金属的对比研究

应用便携式X射线荧光光谱仪(PXRF)分别在原位和实验室条件下对53个土壤样品中的Cu,Pb,As,Cr,Ni和Zn等重金属进行测定,并与原子吸收/原子荧光法测定值进行对比,建立一元线性回归模型分析PXRF数据质量。通过测定土壤样品原位含水量并选取部分样品进行室内水分定量实验,分析土壤水分对于PXRF测定结果的影响。结果表明,PXRF检出限分别为Cu: 10.6 mg·kg-1,Pb: 8.1 mg·kg-1,As: 5.7 mg·kg-1,Cr: 22.5 mg·kg-1,Ni: 21.6 mg·kg-1,Zn: 10.4 mg·kg-1;原位测定时Pb,Cr,Ni和Zn可以达到定量水平;经过风干磨细处理,Cu,Pb,Cr,Ni和Zn在实验室条件下可以达到定量水平,说明X射线荧光光谱法适用于土壤重金属的快速测定与评价。水分对于PXRF测定结果具有“稀释”作用,原位条件下土壤含水量<15%时与>25%时样品的平均相对误差分别为-17%与-31%;实验室条件下土壤含水量从风干土水平提高到30%,测定的平均相对误差由10%变为-24%。土壤水分升高可能会导致数据质量和准确性降低,建议原位测定时控制土壤含水量在25%以内。     

超导量子干涉器件

超导现象是一种宏观量子现象.磁通量子化和约瑟夫森效应是两个最能体现这种宏观量子特性的物理现象.超导量子干涉器件(superconducting quantum interference device,SQUID)是利用这两个特性而形成的超导器件.SQUID器件在磁信号灵敏探测方面具有广泛的应用.本文简要介绍低温超导和高温超导SQUID器件的相关背景和发展现状以及应用领域.     

Incommensurate-commensurate magnetic phase transition in double tungstate Li2Co(WO4)2

Magnetic susceptibility, specific heat, and neutron powder diffraction measurements have been performed on polycrystalline Li$_{2}$Co(WO$_{4}$)$_{2}$ samples. Under zero magnetic field, two successive magnetic transitions at $T_{\rm N1}\sim 9.4$ K and $T_{\rm N2}\sim 7.4$ K are observed. The magnetic ordering temperatures gradually decrease as the magnetic field increases. Neutron diffraction reveals that Li$_{2}$Co(WO$_{4}$)$_{2}$ enters an incommensurate magnetic state with a temperature dependent $\bm k$ between $T_{\rm N1}$ and $T_{\rm N2}$. The magnetic propagation vector locks-in to a commensurate value $\bm k = (1/2, 1/4, 1/4)$ below $T_{\rm N2}$. The antiferromagnetic structure is refined at 1.7 K with Co$^{2+}$ magnetic moment 2.8(1) $\mu_{\rm B}$, consistent with our first-principles calculations.     

广义a-stable过程局部时增量的H

该文证明了广义α-stable过程局部时增量的H     

Local hydrated structure of an Fe2+/Fe3+ aqueous solution: an investigation using a combination of molecular dynamics and X-ray absorption fine structure methods

The hydrated shell of both Fe2+ and Fe3+ aqueous solutions are investigated by using the molecular dynamics (MD) and X-ray absorption structure (XAS) methods. The MD simulations show that the first hydrated shells of both Fe2+ and Fe3+ are characterized by a regular octahedron with an Fe-O distance of 2.08 for Fe2+ and 1.96 for Fe3+, and rule out the occurrence of a Jahn-Teller distortion in the hydrated shell of an Fe2+ aqueous solution. The corresponding X-ray absorption near edge fine structure (XANES) calculation successfully reproduces all features in the XANES spectra in Fe2+ and Fe3+ aqueous solution. A feature that is located at energy 1 eV higher than the white line (WL) in an Fe3+ aqueous solution may be assigned to the contribution of the charge transfer.