The generation problem and the symplectic group

The generation structure of quarks and leptons is studied in a series of extended electroweak models. They are gauge models constructed from subgroups of left-right symmetric SU(4) × S_P^L(6) × S_P^R(6). In particular, SU_C(3) × S_P^L(6) × U_Y(1), as well as SU_C(3) × SU_L(3) × SU_R(3) × U_X(1), are investigated in greater detail. It is shown that models based on such subgroups yield massless first generation fermions at the tree level. They acquire masses from those of the third generation via two-loop radiative corrections. Moreover, since such corrections are induced by charged scalar fields, it is found that there is a natural correlation between the two apparently conflicting inequalities m_u < m_d and m_t > m_b.     

Effective Four-Fermion Interact ions and D ynamical Breaking of Electroweak Symmetry

The minimal dynamical breaking scheme of the electroweak group SU_L(2)×U_y(1) based on the Nambu-Jona-Lasinio mechanism is expounded in the bubble approximation for the case with one generation of fermions. The configurations of allowed composite Higgs and Goldstone bosons depend on the ratio between the two independent four-fermion coupling constants and can be simply read out from the four-fermion Lagrangian. The Higgs boson mass is restricted between the double mass of the lighter and the heavier ffavor of the fermions. The implication of many-generation extension of the approach for the fine-tuning problem is conceived.     

The Fractional Parentage Coefficients for a Double-j Fermion System

The coefficients of fractional parentage (CFPs) for a double-j fermion system are defined. The CFPs are given when the wave functions are classified according to the group chains U(N) ⊃ U(N₁) × U(N₂) ⊃ SP(N₁)× SP(N₂) ⊃O(3₁)×O(3₂) ⊃ O(3) and U(N) ⊃ SP(N) ⊃ SP(N₁)× SP(N₂) ⊃ O(3₁)× O(3₂) ⊃ O(3). Using these CFPs many repeating calculations can be avoided.     

Critical Behavior of the Generalized Srnoluchovski's Coagulation Equation

The critical behavior of the gelation of polymers is studied by means of the generalized Srnoluchovski's coagulation equation. The exact solution of the kinetic equation with a factorial coagulation rate R(i₁, i₂, . . . i_n) = s_i1 × s_i2 × . . . × s_in and s_k = A × k + B is derived for the monodisperse initial condition c_m(O) = δ_{m, 1}. It is shown that a gelation transition takes place within a finite time t_c and the gelation time t_c ii characterized by the parameters A and B.     

锐钛矿金红石的高温原位X射线衍射研究

对TiO₂粉末进行了空气和真空条件下从室温到1200℃的加热原位X射线衍射实验, 得到了空气和真空条件下微米级锐钛矿颗粒转变为金红石的起始温度分别为850℃ 和855℃; 分别修正了空气条件下锐钛矿在(27–850℃)范围和金红石在(900–1200℃) 范围内的晶胞参数和真空条件下锐钛矿在(27–850℃)范围和金红石在(950–1200℃) 范围的晶胞参数, 从而得到了晶胞参数随温度变化的关系, 得到了锐钛矿和金红石在空气中和真空中的热膨胀系数, 并总结了热膨胀系数随温度变化的规律. 室温下锐钛矿在空气条件下的热膨胀系数为 α_a=4.55063×10^-6/℃, α_c=7.7543×10^-6/℃, β=16.85836×10^-6/℃; 真空下为 α_a=4.69429×10^-6/℃, α_c=9.02850×10^-6/℃, β=18.69688×10^-6/℃. 室温下, 金红石在空气条件下的热膨胀系数为 α_a=6.81243×10^-6/℃, α_c=8.71644×10^-6/℃, β=22.22178×10^-6/℃; 真空条件下为 α_a=6.05834×10^-6/℃, α_c= 8.39280×10^-6/℃, β=20.52362×10^-6/℃. 关键词： 2')" href="#">TiO₂ 原位X射线衍射 相转变 热膨胀     

Z2 × Z2 Discrete Symmetry in the Left-Right Symmetric Model SU(2)L × SU(2)R × U(l)B-L

From the point that the Higgs fields can be regarded as the gauge fields on a discrete group, we construct a gauge theory of the leftright symmetric model SU(2)_L × SU(2)_R × U(1)_B-L (LRSM) over Z₂ ⊙ Z₂ discrete symmetry.     

用光镊技术研究硝酸铵气溶胶的挥发性

研究半挥发性气溶胶物质的气粒分配对于更准确地描述大气气溶胶的组成和尺寸分布是至关重要的。硝酸铵是亚微米颗粒物的主要组成部分,特别是在高污染事件中。为了更深入的了解硝酸铵气溶胶的气粒分配问题,利用激光悬浮技术捕获、悬浮半挥发性无机物硝酸铵液滴单颗粒（2～10 μm）,控制相对湿度条件、温度条件,并采集氢-氧振动带的受激拉曼峰位信息,利用非弹性米氏散射理论计算实时液滴半径尺寸、折射率和浓度,利用稳态传质模型Maxwell公式推算出了不同湿度下的蒸汽压。实验数据计算出的硝酸铵的饱和蒸汽压值的数量级与文献报道一致。当RH分别恒定在80%, 73%, 68%, 57.3%, 55.4%, 44.8%时,饱和蒸汽压值为(1.67±0.24)×10-3, (1.82±0.19)×10-3, (2.91±0.13)×10-3, (3.5±0.28)×10-3, (4.59±0.22)×10-3和(6.64±0.3)×10-3 Pa,显然,随着相对湿度的降低,饱和蒸汽压值增大,即湿度降低促进硝酸铵的挥发。此外,还推算了不同湿度下硝酸铵气溶胶液滴的挥发通量,挥发通量值在(4.01±0.79)×10-7～(3.32±0.77)×10-8 mol·(s·m2)-1之间。这对更好的了解气溶胶在挥发过程中的微观过程有重要意义。     

快重离子辐照对MoS2热导率的影响研究

利用0.97 GeV的209Bi离子辐照二硫化钼（MoS₂）晶体,辐照注量范围为1×1010～1×1012 ions/cm2,结合原子力显微镜（AFM）观测和Raman光谱分析研究了快重离子辐照对MoS₂热导率的影响。实验结果显示,快重离子辐照在MoS₂中产生了潜径迹,较高激光功率下的Raman测试使样品局部温度升高,导致E_1/2g和A_1g峰随注量增加向低波数方向移动,且峰形展宽。引入了通过改变激光功率测量Raman光谱得到MoS₂热导率的计算方法,获得了不同辐照注量下MoS₂的热导率的定量分析结果,随注量增加,热导率不断降低,从未辐照样品的563 W/mK下降到1×1012 ions/cm2辐照时的132 W/mK。Molybdenum disulphide (MoS₂) was irradiated by 0.97 GeV 209Bi ions with the fluence of 1×1010 to 1×1012 ions/cm2. The irradiation effect on the thermal conductivity of MoS₂ was analyzed by atomic force microscope (AFM) and Raman spectroscopy. The experimental results show that hillock-like latent tracks are observed on irradiated MoS₂ by AFM. The measurement of MoS₂ by Raman spectrometer with high laser power results in the increase of local temperature of MoS₂, which cause the downshift of peaks position and broadening of E_1/2g and A_1g peak. Furthermore, according to Raman spectra measured at different laser power, thermal conductivity of MoS₂ before and after irradiation was calculated, which show that the thermal conductivity of MoS₂ decreases with increasing fluence, from 563 to 132 W/mK for pristine and 1×1012 ions/cm2 irradiated MoS₂, respectively.     

第一性原理研究Zr的掺杂对Xe在UO_2中溶解能力的影响

Zr既是反应堆中核燃料组件的包壳材料,也是核燃料UO_2的一种裂变产物,不可避免地会掺杂到UO_2中,对其性质等产生一定的影响.本文通过第一性原理密度泛函理论计算,研究了Zr掺杂所引起的Xe在UO_2中溶解能力的变化.首先应用引入Hubbard U修正的广义梯度近似密度泛函计算了U,O间隙和空位缺陷的形成能,结果与文献值符合,验证了计算方法的可靠性.在此基础上对Zr掺杂后空位缺陷的形成能及Xe吸附到空位缺陷所需的结合能的变化情况进行了研究.结果表明,Zr的掺杂会增加空位缺陷的形成能,减小大部分Xe吸附的结合能,且空位缺陷形成能的变化量普遍更大,从而在整体上增加了Xe在UO_2中的溶解能.说明在UO_2中,Zr掺杂主要是通过增加缺陷的形成难度而减弱了Xe在其中的溶解能力.     

The Anomaly Coupling of Axigluon and Technicolor Neutral Pseudo Goldstone Bosons

By gauging the anomaly terms according to the gauge group SU(3)_cl x SU(3)_cr × SU(2)_l × U(l)_Y in the technicolor theory, we obtain various possibld anomaly vertices involving technicolor pseudo Goldstone boson and gauge boson (γ, Z, g, g_A). We estimate the decay rates of g_A → gP⁰, g_A → P_A⁰³γ and g_A → P_A⁰³Z.     

A cold thermionically emitting dusty air plasma formed by radiativeheating of graphite particulates

Formation of an atmospheric pressure dusty air plasma is explored experimentally in this paper. The plasma is created by seeding an air flow with graphite particles and irradiating the particulates with a focused CO₂ laser beam. The graphite particles are, thus, heated to thermionically emitting temperatures, and average particle temperatures and average particle number densities are measured. The presence of charges is inferred both from these measured quantities using a simple theoretical transient model, and experimentally by applying a dc bias across the irradiated region. It is found that an electron density of ~6.7 × 10⁵ cm^-3 (6.7 × 10¹¹ m^-3) can be produced at steady state in the presence of O₂. This value can be increased to 3.6 × 10⁷ cm^-3 (3.6 × 10¹³ m ^-1) in the ideal case where an electron attachment to O₂ is suppressed and where a lower work function particulate is used     

梯度掺杂对n型异质结太阳能电池性能的影响

通过仿真软件AFORS-HET对a-Si:H(p)/i-a-Si:H/c-Si(n)异质结太阳能电池的光伏特性进行分析及优化,主要对比了a-Si:H(p)层的均匀掺杂和表面掺杂浓度D₁=1×10²⁰ cm^-3>界面掺杂浓度D₂=4×10¹⁹ cm^-3的梯度掺杂情况时的光伏特性,实现了在梯度掺杂时22.32%的光电转换效率。与均匀梯度掺杂相比,发射层的梯度掺杂除了引入一个附加电场,还优化了能带结构、光谱响应、表面复合速率。结果表明,梯度掺杂可以有效地改善电池的光电转换性能。     

COMPACTIFICATION FROM E8 × E8 TO THE STANDARD MODEL

The comnactification of the D=10 E₈ × E₈ field theory limit of superstring to the D=4 SU₃ × SU₂ × U₁ standard model is investigated by means of the scheme developed by Manton, Forgacs and Chapline.     

Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe_2 compounds

The crystal structure,magnetization,and spontaneous magnetostriction of ferromagnetic Laves phase Gd Fe2 compound have been investigated.High resolution synchrotron x-ray diffraction(XRD) analysis shows that Gd Fe2 has a lower cubic symmetry with easy magnetization direction(EMD) along [100] below Curie temperature TC.The replacement of Gd with a small amount of Tb changes the EMD to [111].The Curie temperature decreases while the field dependence of the saturation magnetization(Ms) measured in temperature range 5–300 K varies with increasing Tb concentration.Coercivity Hc increases with increasing Tb concentration and decays exponentially as temperature increases.The anisotropy in Gd Fe2 is so weak that some of the rare-earth substitution plays an important role in determining the easy direction of magnetization in GdFe_2.The calculated magnetostrictive constant λ100 shows a small value of 37×10~(-6).This value agrees well with experimental data 30×10~(-6).Under a relatively small magnetic field,GdFe_2 exhibits a V-shaped positive magnetostriction curve.When the field is further increased,the crystal exhibits a negative magnetostriction curve.This phenomenon has been discussed in term of magnetic domain switching.Furthermore,magnetostriction increases with increasing Tb concentration.Our work leads to a simple and unified mesoscopic explanation for magnetostriction in ferromagnets.It may also provide insight for developing novel functional materials.     

LaTiO高k栅介质Ge MOS电容电特性及Ti含量优化

采用共反应溅射法将Ti添加到La_2O_3中,制备了LaTiO/Ge金属-氧化物-半导体电容,并就Ti含量对器件电特性的影响进行了仔细研究.由于Ti-基氧化物具有极高的介电常数,LaTiO栅介质能够获得高k值;然而由于界面/近界面缺陷随着Ti含量的升高而增加,添加Ti使界面质量恶化,进而使栅极漏电流增大、器件可靠性降低.因此,为了在器件电特性之间实现协调,对Ti含量进行优化显得尤为重要.就所研究的Ti/La_2O_3比率而言,18.4%的Ti/La_2O_3比率最合适.该比率导致器件呈现出高k值(22.7)、低D_(it)(5.5×10~(11)eV~(-1)·cm~(-2))、可接受的J_g(V_g=1V,J_g=7.1×10~(-3)A·cm~(-2))和良好的器件可靠性.     

单层二硫化钼多相性质及相变的第一性原理研究

本文基于密度泛函的第一性原理,并引入范德瓦耳斯力修正,研究了单层二硫化钼2H,1T,ZT三种相的电学性质及相变原理.首先通过结构弛豫确定了三种相的几何结构,能带和态密度计算证实1T相具有金属性质,ZT相具有半导体性质,带隙为0.01 eV.然后结合变形势理论计算了2H和ZT相的迁移率,ZT相的迁移率高达104cm~2·V~(-1)·s~(-1),进一步拓展了单层二硫化钼的应用范围.最后通过对比三种相吸附锂原子结合能,计算2H-1T相变能量曲线,解释了引起二硫化钼相变的原因.本文的研究结果将对单层二硫化钼实验制备表征以及相关光电器件性能分析提供重要参考.     

Bi_xBa_(1-x)TiO_3电子及能带结构的第一性原理研究

采用基于第一性原理的赝势平面波方法,研究了ABO_3钙钛矿复合氧化物BaTiO_3中A位离子被Bi原子取代后对其构型、电子及能带结构的影响.计算结果表明,Bi取代Ba之后会降低BaTiO_3的对称性,空间点群随着取代量的变化而变化,结合能逐渐降低.通过能带结构的计算发现Bi_xBa_(1-x)TiO_3为直接带隙型半导体.Bi的取代可调节Bi_xBa_(1-x)TiO_3的禁带宽度,从x=0.125到x=0.625时,Bi的取代量越大,其带隙越宽,吸收光谱蓝移.x0.625时,禁带宽度又逐渐减小,吸收光谱红移.由态密度图可看出,其价带顶主要是O-2p与Bi-6s态杂化而成,导带底主要由Ti-3d态构成.     

Co,Zn共掺铌酸锂电子结构和吸收光谱的第一性原理研究

利用基于密度泛函的第一性原理的计算方法,研究了Co单掺及Co和Zn共掺LiNbO_3晶体的电子结构和吸收光谱.研究显示,各掺杂体系铌酸锂晶体的带隙均较纯铌酸锂晶体变窄. Co:LiNbO_3晶体禁带宽度为3.32 eV; Co:Zn:LiNbO_3晶体, Zn的浓度低于阈值或达到阈值时,禁带宽度分别为2.87或2.75 eV. Co:LiNbO_3晶体在可见-近红外光波段2.40, 1.58, 1.10 eV处形成吸收峰,这些峰归结于Co 3d分裂轨道的跃迁;加入抗光折变离子Zn~(2+),在1.58, 1.10 eV处的吸收峰增强,可以认为Zn~(2+)与Co~(2+)之间存在电荷转移,使e_g轨道电子减少,但并不影响t_(2g)轨道电子.结果表明,晶体中的Co离子在不同共掺离子下可充当深能级中心(2.40 eV),或可充当浅能级中心(1.58 eV),两种情况下,掺入近阈值的Zn离子均有助于实现优化存储.     

Active species in microwave postdischarge for steel-surfacenitriding

Production of nitrogen atoms has been studied in a 2.45-GHz flowing postdischarge in N₂ and N₂-H₂ gas mixtures with Ar as a buffer gas in the high-pressure regime (5×10³ to 6.5×10⁴ Pa). N atom densities have been measured by NO titration in the 10¹⁴-10 ¹⁵ cm³ range and monitored by the first positive emission resulting from the N atom recombination. The rate coefficient of the N+N+N₂ recombination has been found to be _k=6×10^-33 cm⁶ atom^-2 s ^-1 at T₀=300 K, which agrees with previously published data. The N atom production (or degree of N/N₂ dissociation) in front of an Fe-0.1%C substrate correlates well with the thickness of a γ' Fe₄N layer produced by the postdischarge treatment. The H₂ gas was first introduced in the initial phase of treatment to remove surface oxidizing and then was cut off to keep high densities of N atoms. It is deduced that N atoms are more active nitriding species than NH-type radicals     

Two Types of Infinite-Dimensional Representations of the Quantum Algebra OSPq(l, 4)

In this letter, we discuss the quantum superalgebra OSP_q(l,4). With the help of the SU_q(2)×U(1) basis, we construct two types of representations for the quantum superalgebra, called the-1/2-representation and the 1/2-representation. Both of them are infinitedimensional.