Belousov-Zhabotinsky反应体系中的波与稳定性

我们在Oregonator模型的基础上,取速率常数k₆、理想配比系数f及波数k为参变量,首先讨论了B-Z反应体系的稳定性,并得到了下列各量的表达式:空间周期结构的临界速率常数k₆^c、短波临界波数k_s^c与长波临界波数k_L^c,时空周期结构的临界速率常数k₆^c及临界波数k_c等。而后,我们给出了B-Z反应体系的临界频率λ_c,讨论了体系在临界状态附近的行为,并得到了触发波速度u_T及相位波速度u_P的表达式。本文的结论是,在一定条件下,不搅拌的B-Z反应体系能在临界状态附近呈现稳定的波群或者波包,触发波是均匀体系中的波包,相位波是有微小梯度的非均匀体系中的波包。u_T=2ηDk_c,D为HBrO₂的扩散系数,η为[H⁺]的缓变函数(在实验观测范围内,η≈0.1);u_P=v,v为相速度。 关键词：     

标准映象的周期分岔及其向混沌的过渡

本文研究了标准映象的周期轨道在其余数R=1和R=0附近的行为,对于前者出现倍周期分岔序列,其分岔率δ及标度因子α和β与其它二维保面积映象的结果一致;对于后者发生同周期分岔,这与标准映象的奇对称性有关。文中还计算了混沌轨道的李雅普诺夫指数,发现在倍周期分岔序列的聚点k_∞附近,存在标度关系: λ=λ_∞+A(k—k_∞)+B(k—k_∞)^τ, 其中因子τ=0.32。这与理论推断的结果τ=(ln(2))/(l 关键词：     

极化激元系统时间演化的量子涨落特性和非经典统计行为

将极化激元系统约化成模型单模光子-TO声子有效相互作用系统， 在此基础上以解析形式讨论了系统的力学量、压缩态、量子涨落特性以及亚泊松分布等非经典效应的动力学演化行为.结果表明，光子场与极化波量子场彼此交换能量过程随时间演化呈振荡性质，光子场和声子场都可以演化成压缩态，其二阶压缩度随时间演化成复杂周期振荡特性，这种非经典特性是非线性相互作用的结果并且以k₁项和k₂项同时存在并相互关联为前提.而此时光子和声子统计分布随时间演化呈现介于超Poison分布和亚Poison分布之间复杂周期振荡的新结果，非线性作用k₁项和k₂项对这种非经典统计行为都有贡献. 关键词： 极化激元系统动力学演化 单模光场-TO声子有效模型哈密顿量 量子涨落与压缩态 亚泊松分布     

钇镓石榴石中Tb3+到Ce3+的无辐射能量传递特征

在Y₃Ga₅O₁₂石榴石中,室温下采用紫外激光选择激发光谱研究了能量从Tb³⁺的⁵D₃和⁵D₄能级无辐射传递给Ce³⁺的²D_3/2能级。实验结果符合Frster-IH直接无辐射传递理论。⁵D₃(Tb³⁺)→²D_3/2(Ce³⁺)能量传递是电偶-偶极子相互作用机理,其平均临界传递距离为R₀=16.3?,而⁵D₄(Tb³⁺)→²D_3/2能量传递是起主导作用的电偶-偶极子相互作用,其平均临界传递距离为11.2?。在⁵D₄的传递过程中,电偶-四极子相互作用也应予以考虑。 关键词：     

K2分子23∏g—13∑u+漫射谱强度的碰撞诱导增强效应

用4415.6?CW激光线获得了5730?附近的K₂分子2³∏_g—1³∑_u⁺漫射荧光谱。实验研究了缓冲气体Ar气压强P对漫射谱峰值强度I_diff的碰撞诱导增强效应。用稳态碰撞模型描述了C¹∏_u—2³∏_g间的能量转移过程,推导出了I_diff-P函数关系,对实验数据进行了令人满意的拟合。这种拟合表明:适当变更实验装置,利用本文模型可以得到C¹∏_u—2³∏_g间的能级交叉速率和碰撞诱导转移速率。 关键词：     

n+1维双sine-Gordon模型的Coleman相变

本文计算了n+1维双sinc-Gordon模型的高斯有效势,在高斯有效势近似下,证明:n≥3的模型是平凡的,n<3的模型存在一个Coleman相交点,临界耦合参数为β_cr=(2ⁿ⁺²π^(n+1)/2(α_1R+α_2R/4)^(3-n)/2)/(Γ(1/2(3-n))(α_1R+α_2R/16)). 关键词：     

SrZn2(PO4)2:Sn2+,Mn2+荧光粉的发光性质及其能量传递机理

采用高温固相法制备了SrZn₂(PO₄)₂:Sn²⁺(SZ₂P:Sn²⁺), SrZn₂(PO₄)₂:Mn²⁺(SZ₂P:Mn²⁺), SrZn₂ (PO₄)₂:Sn²⁺, Mn²⁺(SZ₂P:Sn²⁺, Mn²⁺) 荧光粉. 通过X射线衍射、激发和发射光谱详细研究了荧光粉的物相和发光性质. 在SrZn₂(PO₄)₂ 基质中, Sn²⁺离子发射光谱是峰值位于461 nm宽带谱, 归属于Sn²⁺离子的³P₁→¹S₀能级跃迁, SZ₂P:Mn²⁺激发光谱由基质吸收带(200–300 nm)和位于352, 373, 419, 431和466 nm的一系列激发峰组成, 分别对应Mn²⁺离子的⁶A₁(⁶S)→⁴E(⁴D), ⁶A₁(⁶S)→⁴T₂(⁴D), ⁶A₁(⁶S)→[⁴A₁(⁴G), ⁴E(⁴G)], ⁶A₁(⁶S)→⁴T₂(⁴G)和⁶A₁(⁶S)→⁴T₁(⁴G)能级跃迁, 因此, SZ₂P:Sn²⁺ 的发射光谱与SZ₂P:Mn²⁺的激发光谱有较大范围的重叠. 结果表明Sn²⁺对Mn²⁺发光有明显的敏化作用. 基于Dexter电多极相互作用能量传递公式和Reisfeld近似原理分析, 荧光粉SZ₂P:Sn²⁺, Mn²⁺中Sn²⁺-Mn²⁺离子之间的能量传递机理属于电四极-电四极相互作用引起的共振能量传递, 并计算出Sn²⁺-Mn²⁺离子之间能量传递临界距离R_c ≈ 1.78 nm. 通过改变Sn²⁺, Mn²⁺离子掺杂浓度, 实现了荧光粉发光颜色的调节, 在254 nm短波紫外激发下荧光粉发出较强的蓝白光. 研究结果表明SZ₂P:Sn²⁺, Mn²⁺荧光粉有望应用于紧凑型节能灯照明领域, 随着半导体紫外芯片技术的发展, 有潜力应用于未来的白光发光二极管照明领域.     

介质阻挡均匀大气压氮气放电特性研究

基于一维流体力学模型，对介质阻挡均匀大气压氮气放电特性进行了数值计算研究.模型中考虑了氮气中主要的电离、激发过程，所包含的粒子种类为e，N₂，N⁺₂，N⁺₄，N₂(a¹∑^-_u)，N₂(A³∑⁺_u).模拟结果显示，氮中的放电具有低气压下汤生放电的特性.放电电流幅度较小，放电过程中气体电压变化缓慢，电子密度远低于离子密度，而且最大值出现在阳极，电子不能在放电间隙中被俘获，不存在中性等离子体区，气体中的电场趋于线性变化.亚稳态N₂(A³∑⁺_u)和N₂(a¹∑⁺_u)在整个放电空间都具有非常高的密度，比电子密度高三个量级以上，亚稳态密度的最大值出现在阳极，这样的分布决定了放电的空间结构.放电所需的种子电子主要由亚稳态之间潘宁电离提供，这种机理使放电的电离水平较低，导致氮气中的放电只能是汤生放电.随着放电参数的变化，多电流峰放电也可在氮气中获得. 关键词： 大气压均匀放电 介质阻挡放电 数值模拟 氮气     

H2（V=3）+H2（He）碰撞中的转动能量转移

激发态Na₂与H₂碰撞,使H₂（V=3,J=3）得到布居,在H₂和He总气压为800 Pa及温度为700 K的条件下,利用相干反斯托克斯拉曼散射（CARS）光谱技术研究了H₂（3,3）与H₂（He）间转动能量转移过程.改变CARS激光束与激发Na₂的激光之间的延迟时间,测量He不同摩尔配比时H₂（3,J）态CARS谱强度的时间演化,得到H₂（3,3）的总弛豫速率系数分别为k_3,3^H₂=（21士5）×10^-3cm³·s^-1和k_3,3^H_e=（5.6士1.6）×10^-13cm³·s^-1.测量H₂（3,J）各转动态的相对CARS谱强度,由速率方程分析,得到H₂（3,3）+H₂→H₂（3,J）+H₂中,对于J=2,4,转移速率系数分别为（11±4）×10^-13cm³·s^-1和（8.2±3.1）×10^-13cm³·s_<sup>-1.在H₂（3,3）+He→H₂（3,J）+He中,对于J=2,4,转移速率系数分别为（3.1±1.2）×10^-13cm³·s^-1和（2.1士0.7）×10¹³cm³·s^-1.对于H₂（3,3）,单量子弛豫|△J|=1约占该态总弛豫率的90%.     

GeS分子基态和低激发态的势能曲线与光谱性质

本文以aug-cc-pv5Z为基组, 采用考虑Davidson修正的多参考组态相互作用方法(MRCI+Q)得到了GeS分子基态(X¹Σ⁺)和5个低激发态(1¹Σ, 1¹Δ, A¹Π, 1⁵Σ⁺, 2⁵Σ⁺)的势能曲线. 计算结果表明: 2⁵Σ⁺态为排斥态, 其余5个态为束缚态; 6个态有着共同的离解通道, 离解极限均为Ge(³P)+S(³P). 利用计算得到的势能曲线得了X¹Σ⁺, 1¹Σ^-, 1¹Δ, A¹Π和1⁵Σ⁺态的垂直跃迁能T_e, 平衡键长R_e, 离解能D_e, 谐振频率ω_e, 非谐性常数ω_ex_e及平衡位置的电偶极矩. X¹Σ⁺态的R_e 为2.034 Å, D_e 为5.728 eV, ω_e为571.73 cm^-1, ω_ex_e为1.6816 cm^-1, 平衡位置的电偶极矩为1.9593 Debye. 激发态1¹Σ, 1¹Δ, A¹Π, 1⁵Σ⁺的T_e 依次为25904.81, 26209.22, 32601.19, 43770.26 cm^-1; R_e依次为2.313, 2.322, 2.188, 2.8790 Å; D_e依次为2.524, 2.487, 1.694, 0.3036 eV, ω_e依次为358.90, 353.08, 376.32, 134.96 cm^-1; ω_ex_e依次为1.2421, 1.2151, 1.6608, 1.9095 cm^-1; 平衡位置的电偶极矩依次为1.3178, 1.4719, 1.5917, -1.9785 Debye. 通过求解核运动的薛定谔方程得到了J=0时X¹Σ⁺, 1¹Σ^-, 1¹Δ, A¹Π和1⁵Σ⁺态前30个振动态的振动能级G_v和分子常数B_v, 得到的结果和已有的实验值及其他理论值符合较好.     

Surface mass diffusion and step stiffness on an anisotropic surface; Mo(0 1 1)

Results of step fluctuation experiments for Mo(0 1 1), using low-energy electron microscopy, are re-examined using recently developed procedures that offer accurate coefficients of surface mass diffusion. By these means, surface diffusion D_s is documented at T/T_m ∼ 0.5, while the crossover to relaxation driven by bulk vacancy diffusion is inferred for T/T_m ∼ 0.6. Here, T_m is the melting temperature T_m = 2896 K. We obtain D_s = 4 × 10⁻⁴ exp(−1.13 eV/k_BT) cm²/s for the temperature interval 1080-1680 K. Possible indications of diffusion along step edges appear for T/T_m ∼ 0.4. The same measurements of step fluctuation amplitudes determine also the step stiffness, which by symmetry is anisotropic on Mo(0 1 1). It is shown that three independent procedures yield mutually consistent step stiffness anisotropies. These are (1) step fluctuation amplitudes; (2) step relaxation rate anisotropies; and (3) the observed anisotropies of islands in equilibrium on the Mo(0 1 1) surface. The magnitude of the step stiffness obtained from step edge relaxation is consistent with earlier measurements that determine diffusion from grain boundary grooving.     

High excitation energy structures in208Pb

Level-crossing signals of impact radiation of He I have been analyzed with regard to the determination of excitation matrices. The signals have been registered at various electricfield strengths by sweeping a magnetic field strength ?_z through the positions ofΔm=2 crossings of Zeeman substates ofn ³ D ₂ andn ³ D ₃ levels (n=4 and 5) of He I excited by 35keV-He⁺-He collisions. We analyzed the signal amplitudes and signal shapes with regard to a spin-dependence of the excitation matrix usually discarded by theoretical arguments. To this end a parametrization of spin-dependent excitation matrices has been performed, and the dependence of the level-crossing amplitudes on the 19 parameters obtained have been studied. It turned out that the observed relative signal amplitudes can satisfactorily be explained by only two parameters, the two multipole components of orderk=2 andk=4 of the alignment of the orbital angular momentum. Thus in agreement with theoretical estimations no spin-dependence must be taken into account.     

磁畴壁在复合外场中的运动方程及其在磁弹性内耗的应用

在以速率α匀速增加的磁化场中,测量铁磁性材料的内耗时,材料中畴壁所受的力除了外加磁化场所提供的主驱动力A₀⁰+A₁⁰αt,以及测量内耗所用交变应力所提供的微扰交变驱动力A₃⁰sinωt之外,经分析表明,还存在一项在数值上与主驱动力及交变驱动力的乘积成正比的交互作用驱动力,可写为A₂⁰sinωt。这里的A₀关键词：     

First principles calculation of boron diffusion in fcc-Fe

The diffusion mechanism of boron in fcc-Fe was studied by first-principles calculations. The sites where B atoms tend to occupy and the diffusion behavior were calculated. Results indicated that the main mechanism of boron diffusion in fcc-Fe was the B–monovacancy complex mechanism instead of the interstitial mechanism. The diffusion coefficient D₁ of the B–monovacancy complex mechanism was calculated without considering the backward jump of the B atoms. The calculated D₁ = 1.26 × 10⁻⁴ × exp(^–2.01eV/k_BT) m²·s⁻¹ is consistent with the reported results from experiments.     

Ll2超导体的Tc表达式

通过对L1₂超导体的研究,我们得出了这类超导体临界温度的表达式T_c=(15.9T_BV(B)G_A)/(M^1/2V(L1₂)G_B)。其中T_B是B组元的超导转变温度,V(B)是B组元的原子体积,V(L1₂)为L1₂化合物的平均原子体积,M是L1₂化合物的平均原子量,G_A,G_B分别为A组元、B组元的Gordy电负性值。 关键词：     

非晶态超导体的2△0/(kBTc)和声子谱参量

提出了能够很好地描述非过渡金属无序和非晶态超导体的2Δ₀/(k_BT_c)与声子谱参量之间关系的一个公式:2Δ₀(k_BT_c=4.95[1-(T₀<ω>^1/2)/A(1/(λω₀)+1/(20λ<ω>)+1/(20<ω>))]。计算了大量已知声子谱的非晶和无序超导体的能隙2Δ₀对T_c的比,结果表明在百分之几的范围内与实验值符合。指出了非过渡金属和合金的非晶态超导体,既可以是一个2Δ₀/(k_BT_c)值远大于BCS理论值(3.53)的强耦合超导体,也可以是一个2Δ₀/(k_BT_c)值比BCS理论值还要小得多的弱耦合超导体。 关键词：     

Fluorescence enhancement of Eu3+ by Tb3+ in dimethylsulfoxide (DMSO)

Photoexcitation of EuCl₃.6H₂O and TbCl₃.6H₂O mixtures in DMSO at various wavelengths brings about a decrease in the fluorescence intensity of Tb³⁺ and a subsequent enhancement in the fluorescence intensity of Tb³⁺ provided that [Tb³⁺] < [Eu³⁺]. The average value of the electronic excitation energy transfer rate constant k₁₀ which was found to be independent of the excitation wavelength, was determined to be about 1.50 × 10³ M^-1 s^-1. Photoexcitation of Tb³⁺ and subsequent population of high energy excited states is accompanied by rapid nonradiative de-excitation processes to the lowest excited state ⁵D₄, which is the origin of the energy transfer process. A lower limit for the value of the reaction rate constant, associated with the transition ⁵D₃ ? ⁵D₄, namely k₅, is of the order of 10⁵ ?10⁶ s^-1. Excitation at conditions leading to the exclusive population of the ⁵D₄ state of Tb³⁺ gave rise to a value of k₁₀ equal to (2.2 ± 0.4) × 10³ M^-1 s^-1 and a critical separation (R₀)_exp between Tb³⁺ and Eu³⁺ of about 13 Å. A theoretical value of R₀ equal to 14.2 Å was calculated. The energy transfer process does not appear to take place via clear cut dipole-dipole interactions but rather via complex multipole and/or exchange interactions.     

Radiative and radiationless processes of Eu3+ in dimethyl sulfoxide

Solutions of Eu³⁺ in dimethyl sulfoxide (DMSO) exhibit a considerable enhancement in the intensities of bands associated with ?J = 2 both in the absorption and in the emission spectra. This effect is so strong that addition of considerable amounts of either D₂O or H₂O has no effect at all. Contrary to that, addition of very small quantities of DMSO in solutions of Eu³⁺ in D₂O is accompanied by drastic changes in the appropriate transition probabilities. In solutions of Eu³⁺ in DMSO containing relatively small [H₂O] or [D₂O], the primary solvation sphere appears to consist mainly of DMSO. Secondary and primary fluorescence quenching rate constants have been determined such as: k^sec_D2O ? 5.1 M^-1s^-1; k^sec_DMSO ? 20 M^-1s^-1 and k_fl + k^≈_h ? 4.5 × 10²s^-1.     

Compositional-dependent lead borate based glasses doped with Eu ions: Synthesis and spectroscopic properties

New multicomponent lead borate based glasses with various PbO/B₂O₃ weight ratio were prepared. The glass samples were analyzed in detail by using Raman and IR absorption spectroscopy. Optical properties of Eu³⁺ ions have been investigated in lead borate based systems, in which PbO/B₂O₃ weight ratios were changed from 1:2 to 8:1 in glass composition. The values of the phonon energy of the host and ⁵D₀ lifetime of Eu³⁺ decrease, whereas absorption and emission intensities, as well as bonding parameter increase with increasing PbO concentration. Additionally, spectral lines are shifted in direction to the lower frequency region. Non-monotonic dependence of the fluorescence intensity ratio R (⁵D₀-⁷F₂/⁵D₀-⁷F₁) upon PbO/B₂O₃ content has been observed in contrast to bonding parameter that is also non-linear but monotonic. Some structural and spectroscopic aspects for Eu-doped lead borate based glasses are presented.     

Accurate spectroscopic calculations of the 19 Λ-S states and 36 Ω states of the BC+ cation

This work computed the potential energy curves of 19 Λ-S states, which arose from the first five dissociation limits of BC⁺ cation, B⁺(¹S_g) + C(³P_g), B⁺(¹S_g) + C(¹D_g), B⁺(¹S_g) + C(¹S_g), C⁺(²P_u) + B(²P_u), and B⁺(¹S_g) + C(⁵S_u). The calculations were done for internuclear separations from 0.08 to 1.07 nm. The potential energy curves of 36 Ω states yielded from these Λ-S states were also calculated. Core-valence correlation and scalar relativistic correction, basis set extrapolation as well as Davidson correction were accounted for. Of these Λ-S states, the c¹Σ⁺, D³Π, 2¹Π, 2³Σ⁺, 2¹Δ, 3¹Σ⁺, and 4¹Σ⁺ had double wells; the 3³Π and 3¹Π states had three wells; the C³Σ^? and D³Π states were inverted with the spin-orbit coupling effect included; and the second wells of c¹Σ⁺, D³Π and 3¹Σ⁺ states, the second and the third wells of 3³Π state as well as the third well of 3¹Π state were very weakly bound, which well depths were smaller than 400 cm^?1. The spectroscopic parameters were determined for all the states. The vibrational properties were predicted only for some weakly bound states. The spin-orbit coupling effect on the spectroscopic parameters was evaluated.