Convergence of the multipole results for first order orientation dependent intermolecular forces using NH3-H+ as a model interaction

The NH₃-H⁺ interaction is used as a model for discussing the usefulness of energy multipole expansions for interactions where the first order energy plays an important role. The multipole results for the first order energy are analysed formally and are compared numerically with the non-expanded first order energy for a variety of NH₃-H⁺ relative configurations. The results are used to discuss the limitations of the multipole expansion of the first order energy which can be very severe for some NH₃-H⁺ collision trajectories.     

第I种非对称两态叠加多模叠加态光场的任意不等阶Y压缩

利用多模压缩态理论研究了第种非对称两态叠加多模叠加态光场|Ψ_Iab〉_q的任意不等阶N_j次方Y压缩特性.结果发现:对于任意压缩阶数N_j,态|Ψ_Iab〉_q在一定条件下总可呈现出任意不等阶N_j次方Y混合压缩效应,但在某一压缩阶数区域内并不一定呈现压缩效应;压缩阶数N_j满足特定条件(N_mj=4_mj;4_mj+1;4_mj+2;4_mj+3,其中j=1,2,3,…,…q)时的不等阶N_j次方Y压缩效应仅仅是本文的理论结果在N_j在某一特定条件下的特例.     

铁电磁体Pb(Fe1/2Nb1/2)O3相变特征

借助与示差扫描量热法、磁化率测量、电子自旋共振、铁电与介电性质测量及电子衍射系统地研究了Pb(Fe_1/2Nb_1/2)O₃(PFN)的电、磁性质和相变特征．结果表明发生在380K附近的顺电－铁电转变和发生在145K附近的顺磁 反铁磁转变分别为一级相变和二级相变或弱一级相变．在室温下,PFN的剩余极化与矫顽场分别为11.5μC/cm²和3.04kV/cm.介电测量表明PFN的顺电-铁电相变为弥散型相变．其弥散指数为1.62.电子衍射表明Fe³⁺与Nb⁵⁺离子在B位置上是无序分布的,正是这种与无序分布相关联的成分涨落导致铁电相变的弥散性. 关键词：     

Enhancement of radiative electron rearrangement in Si by He+ bombardment

The first multiple ionization peak in the radiative electron rearrangement (RER) satellite sequence shows an order of magnitude enhancement relative to Kα_1,2 radiation in He⁺ induced spectra compared to H⁺ or e^? induced X-ray spectra of Si. This enhancement supports the RER model which requires that the rearrangement decay increases proportionally with the first Kα_1,2 satellite decay.     

A new magnetoelectric compound: DyCoO3

A first order magnetoelectric effect with α = 10^-2 is measured on a powder sample of DyCoO₃, due to the Dy³⁺ ions. The metamagnetic behaviour is demonstrated.     

Slow Motion of Charges¶Interacting Through the Maxwell Field

We study the Abraham model for N charges interacting with the Maxwell field. On the scale of the charge diameter, R _ϕ, the charges are a distance ɛ^-1 R _ϕ apart and have a velocity with ɛ a small dimensionless parameter. We follow the motion of the charges over times of the order ɛ^-3/2 R _ϕ/c and prove that on this time scale their motion is well approximated by the Darwin Lagrangian. The mass is renormalized. The interaction is dominated by the instantaneous Coulomb forces, which are of the order ɛ². The magnetic fields and first order retardation generate the Darwin correction of the order ɛ³. Radiation damping would be of the order ɛ^7/2. Received: 13 January 2000 / Accepted: 4 February 2000     

The effect of Er doping on the spin reorientation transition in Ho1−xErxAl2

The magnetothermal properties of pseudo binary Ho_1−xEr_xAl₂ alloys have been investigated by heat capacity measurements. Two anomalies are observed in the heat capacity of HoAl₂. A sharp peak at 20 K represents the first order spin reorientation transition, and a second order anomaly occurs in the vicinity of the ferromagnetic transition at 32 K. As Ho is partially replaced by Er in Ho_1−xEr_xAl₂ the sharpness of the first order heat capacity peak diminishes with increasing Er concentration, while the temperature of this transition remains practically unaffected. The second order ferromagnetic transition shifts to higher temperature region with increasing Er concentration. The observed behaviors are explained considering the geometry of 4f charge densities of Ho³⁺ and Er³⁺ and the easy magnetization directions of HoAl₂ and ErAl₂.     

QCD correction to the leptonic decay rate ofD-wave vector mesons

We show that the first order QCD correction to the leptonic decay rate of heavy quark-antiquark³ D ₁ bound state is identical to that for a³ S ₁ state. Some phenomenological implications of this suppression are also discussed.     

Cu(II)‐catalyzed oxidation of thiols by superoxide ligated to CoIII2

Copper(II) dramatically catalyzes the oxidation of thiols by a superoxide bridging two Co^III ions. The catalyzed path overwhelmingly dominates over the uncatalysed path and is first order in the superoxo complex concentration. The first‐order rate constants show a first‐order dependence in [Cu²⁺], a second‐order dependence in [thiol] and linearly varies with [H⁺]^?3. On the basis of observed kinetics reported here, it is proposed that Cu(II) reacts with two thiol molecules to form a Cu^II(thiol)₂ complex, an electron is transferred from one ligated thiol to the Cu^II center to form Cu^I(thiol) and a thiyl radical. The copper(I)‐thiol complex is oxidized by the conjugate base of the title complex to regenerate Cu^II(thiol). A Cu^II/I catalytic cycle is thus believed to be responsible for the observed catalysis. Copyright © 2012 John Wiley & Sons, Ltd.     

一类延时系统的动力学行为研究

本文利用稳定性分析方法得到了一维延时系统定态稳定的充要条件。为研究系统的分岔和混沌行为,在长延时极限下对延时的倒数T_R^-1作渐近展开,得到的零级近似就是通常的一维映象,而T_R^-1的一级效应使系统运动的周期延长。更为有趣的现象是由更高级项带来的,T_R^-2项导致系统在每个分岔点出现滞迴过程(某种双稳现象);而T_R^-3项影响了系统的倍周期分岔行为:即分岔前后的周期之比并不是严格的二倍。高级效应还表明,在混沌带的合并点存在着不稳定窗口,并由此带来一些锁模现象。 关键词：     

掺杂CeO2的75TeO2-25Nb2O5-5ZnO飞秒激光诱导瞬态光栅的研究

用泵浦探测技术研究了掺杂CeO₂的75TeO₂-25Nb₂O₅-5ZnO玻璃在飞秒激光诱导的瞬态光栅多级自衍射。从拉曼和吸收光谱中研究了玻璃的结构特性，并证明了此玻璃中存在Ce3+离子。这种瞬态光栅起因于光克尔效应，并通过Ce3+离子中1S0?1F3电子能级跃迁形成的激发态粒子数光栅而改善，一级衍射信号的转换效率可达到11%。这些实验结果显示了掺杂CeO₂的75TeO₂-25Nb₂O₅-5ZnO飞玻璃在全转换开关中具有广泛应用。     

13C-NMR study of the phase transition in the layered antiferroelectric squaric acid

The temperature dependence of the¹³C-NMR spectra of undoped crystals of the layered antiferroelectric squaric acid (C₄H₂O₄; H₂SQ was measured at a resonance frequency of about 75 MHz by means of the¹H–¹³C double resonance technique. The relation between the order parameter and the chemical shift tensors at the¹³C nuclei is discussed in detail. The line splitting in the ordered phase belowT _c100°C is shown to be proportional to the order parameter. The phase transition is of first order and can be well described by a Landau expansion of the free energy. The results are compared to previous determinations of the temperature dependence of the order parameter. The spin lattice relaxation time of the¹³C system is estimated to be 5000–7500 s at 5°C and the given magnetic field.     

Spontaneous polarization in the RbD3 (SeO3)2 crystal

It has been experimentally shown for the first time that below T_c RbD₃ (SeO₃)₂ possesses spontaneous polarization of the order of 10^?4 μC cm^?2.     

Growth profile of stimulated Raman anti‐Stokes scattering influenced by fluorescence seeding in liquid‐core optical fiber

We demonstrated the growth profile of stimulated Raman anti‐Stokes scattering (SRS) of carbon disulfide (CS₂) influenced by fluorescence seeding of all‐trans‐β‐carotene and rhodamine‐B (RhB) in liquid‐core optical fiber (LCOF). The pump energy which was needed to build up the first‐order anti‐Stokes radiation of CS₂ solutions with the fluorescence seeding was lower than that of CS₂ solutions without fluorescence seeding because of the fluorescence enhancement effect on the intensity of the first‐order Stokes radiation. The first‐order anti‐Stokes radiation of the RhB solution (10⁻⁸ M ) was built up at a lower pump energy than that of the all‐trans‐β‐carotene solution (10⁻⁶ M ), and the intensity of the first‐order anti‐Stokes radiation of the RhB solution was higher than that of the all‐trans‐β‐carotene solution. Simultaneously, the coupled wave differential equations were obtained by the theoretical derivation, and the growth profile of the first‐order anti‐Stokes radiation was theoretically calculated with and without the fluorescence seeding by these equations. Copyright © 2009 John Wiley & Sons, Ltd.     

Direct ninth harmonic conversion of picosecond laser pulses

Direct ninth harmonic conversion of picosecond laser pulses is obtained for the first time. Using sodium vapor, phase- matched ten-photon process by Nd³⁺: glass laser pumping is realized. Effective ninth-order nonlinear susceptibility of the order of x⁽⁹⁾_eff ～ 10^-64 ESU is estimated.     

Calorimetric and dielectric studies of a phase transition in thallium dihydrogen phosphate: A nearly critical case

The heat capacity of thallium dihydrogen phosphate was measured from 12 to 300 K. A lambda anomaly with a small first order discontinuity was found at 229.76 K with the integrated enthalpy and entropy changes equal to 370 J mol^-1 and 1.8 J K^-1 mol^-1, respectively. The entropy discontinuity at the first order transition is 0.25 J K^-1 mol^-1. The Landau theory of phase transitions of the second kind reproduces closely the temperature dependence of the anomalous heat capacity. This, together with the small discontinuity in the entropy, implies that the phase transition is close to a classical critical point of higher order. The relative dielectric permittivity ?_r(b) along the b-axis at 1 kHz is anomalously large and strongly temperature dependent, while the ?_r(a¹) and ?_r(c) are not. A broad absorption centered at 1700 cm^-1 was observed in the infrared absorption spectrum, indicating presence of hydrogen bonding of the length ～ 0.25 nm. Occurrence of a phase transition at 127 ± 2 K was suggested by differential thermal analysis of thallium dideuterium phosphate.     

关于一级近似Tc级数解的收敛问题

本文通过一个实例说明:μ^*=0时,一级近似T_c级数解的收敛半径既不是由z_ph=-∫₀^(ω_ph)dωg(ω)dω·ω²/(ω_ph²-ω²),也不是由z_ph=∫₀^(ω_ph)dωg(ω)dω·ω^{2< 关键词：}     

Far infrared transmission and Raman scattering in Pb-As-S semiconducting glasses

Various compositions (x = 0.1?0.625) in the pseudo-binary (As₂S₃)_1?x(PbS)_x have been prepared in the glassy form. Thermal analysis of the prepared glasses shows a multiphase non-crystalline structure. Their far-infrared transmission (50–450 cm^-1) and first order Raman scattering have been observed for the first time and the observations indicate a two mode behaviour of the glasses. The frequencies and symmetries of AsS₃ bond-stretching modes are maintained in this alloy system and are therefore determined by the local order, and not the dimensionality or longer range order of the network.     

Determination of landau level lifetimes in n-GaAs

The lifetime of electrons in the first excited Landau level of n-GaAs is determined from a combination of measurements of far infrared cyclotron resonance induced absorption and conductivity change. Values of T₁ of the order of 10^?8s for densities of excited electrons of 10¹¹ cm^?3 and a temperature dependence of T^?2.7 are found. An upper limit for the N = 0 Landau level to donor recombination time of the order of 10^?9s was derived from pulsed conductivity measurements.