存在耦合情况下SYNCH和MAD程序计算结果的分析

用SYNCH和MAD程序计算了一些含有坐标旋转的束流系统.由于坐标旋转,粒子的垂直和水平方向的运动发生耦合. 对计算结果进行的分析表明,对有横向耦合的束流系统,SYNCH程序给出的四个色散函数(ηx,ηx＇,ηy及ηy＇)是错误的.这两个程序给出的Twiss参数(βx,αx,βy和αy)也有较大的分歧.本文通过对一个简单的有耦合系统的计算结果的分析,说明这两个程序计算结果有错误和分歧.使用这些程序计算有耦合的束流系统时,应格外小心,以免得出错误的结果.     

物理过程微机演示的基本方法(二)

(接上期)六、扫描-迭代法 在扫描-循迹法中,y是靠逐点试算,然后加以比较得出的.现在我们不采取逐点试算的操作,而是以y0为初值,用迭代操作求方程的近似根来定出y.这构成了一个新的生成系列点的方法──扫描-迭代法. 扫描操作为上节所述.在x轴方向直接有y轴方向如何用迭代操作定出y呢?从数学上讲,先将F(x,y)=0化为y=H(x,y)的形式,如果在待定的y附近总有H/y<1(注意,此处x为常参量)的话,那么用初值y=y0代入H求出y,再将此y值重新代入H再求出y,重复上述操作,如此迭代,最后y将收敛于F(x0+1,y)=0的根.迭代本身用赋值语句便可进行,收敛判据y—H(x…     

Mg_2Si_(0.3)Sn_(0.7)掺杂Ag和Li的热电性能对比

采用两步固相法合成了物相均匀的Mg_(2(1–x))Ag_(2x)Si_(0.3)Sn_(0.7)(x=0,0.01,0.02,0.03,0.04,0.05)和Mg_(2(1–y))Li_(2y)Si_(0.3)Sn_(0.7) (y=0, 0.02, 0.04, 0.06, 0.08)热电材料,测试了室温物理性能和室温至773 K的热电性能,研究了不同掺杂剂的固溶度、微观结构、载流子浓度、电性能和热输运. X射线衍射图谱和扫描电子显微镜图像显示掺杂Ag和Li的固溶度分别为x=0.03和y=0.06.根据单抛物线模型, p型的Mg_(2(1–x))Ag_(2x)Si_(0.3)Sn_(0.7)和Mg_(2(1–y))Li_(2y)Si_(0.3)Sn_(0.7)的有效质量为1.2m0.对比结果表明:掺杂Ag或Li的最大载流子浓度分别达到4.64×1019 cm~(–3)和15.1×1019 cm~(–3);掺杂Li元素的样品有较高的固溶度、较高的载流子浓度和较高的功率因子PF约为1.62×10~(–3) W·m~(–1)·K~(–2);掺杂Li元素样品中较高的载流子浓度能够有效抑制双极效应,显著降低双极热导率; Mg_(1.92)Li_(0.08)Si_(0.3)Sn_(0.7)的最大ZT值0.54,比Mg1.9Ag0.1Si0.3Sn0.7的最大ZT值0.34提高了大约58%.根据Callaway理论,由于质量场波动和应变场波动增强声子散射,掺杂Ag和Li元素样品的晶格热导率比未掺杂样品明显降低.     

3∶29型Gd_3(Fe_(1-x)Co_x)_(29-y)Cr_y化合物的成相与结构

通过X射线衍射分析和磁测量研究了Gd-Fe-Co-Cr四元系中对应于化学式Gd3(Fe,Co,Cr)29且Gd含量为一定值的截面内富Fe,Co区的相关系,重点探索了高Co含量3∶29型化合物合成的可能性,研究了3∶29型Gd3(Fe1-xCox)29-yCry化合物的结构与磁性.研究结果表明,获得3∶29型单相Gd3(Fe1-xCox)29-yCry化合物的范围为：y=5,0≤x≤0.7;y=5.5,0.7≤x≤0.8和y=6,0.8≤x≤0.9.基于对Gd3(Fe1-xCox)29-yCry化合物成相条件的研究,成功地合成了纯Co基Gd3Co29-yCry化合物,其固溶范围为6.5≤y≤7.3.3∶29型单相Gd3(Fe1-xCox)29-yCry化合物的晶体结构都属于单斜晶系,Nd3(Fe,Ti)29型结构,空间群为A2/m.得到3∶29型单相Gd3(Fe1-xCox)29-yCry化合物的固溶极限即Co含量的极大值与稳定元素Cr含量有关.Co原子的含量越高,所需稳定元素Cr的含量越大.值得注意的是,用Co原子替代Fe原子会导致Gd3(Fe1-xCox)29-yCry化合物磁晶各向异性的显著改变.当x≥0.4时,化合物的磁晶各向异性从易面型转变为易轴型.     

红色荧光粉Na_zCa_(1-x-2y-z)Bi_yMoO_4∶Eu_(x+y)~(3+)发光研究

采用高温固相法制备系列红色荧光粉NazCa1-x-2y-zBiyMoO4∶Eux3++y(y,z=0,x=0.24,0.26,0.30,0.34,0.38;x=0.30,y=0.01,0.02,0.03,0.04,0.05,0.06,0.07,z=0;x=0.30,y=0.04,z=0.38)。用X射线粉末衍射(XRD)法测试了所制样品晶相结构。采用荧光光谱仪对样品的发光性能进行了表征,结果表明:当Eu3+单掺杂量浓度x=0.30时,荧光粉(Ca0.70MoO4∶Eu03.+30)的发光强度最强;当Eu3+-Bi3+共掺杂量浓度y=0.03时,电荷迁移带(CTB)强度达到最强,而对于Eu3+特征发射峰,当共掺杂浓度y<0.03时,位于393 nm处的激发峰强度比464 nm强,共掺浓度y>0.03时,464 nm峰比393 nm峰强,共掺浓度为y=0.04时,393和464 nm处两峰位置强度都达到最强。作为电荷补尝剂的Na2CO3掺入上述荧光粉中后,荧光粉激发和发射强度明显地增强。结果表明,通过调节Bi3+/Eu3+掺杂比例可以改变位于近紫外光393 nm和蓝光区464 nm处激发光相对强度。     

快淬(Er_(l-x)Sm_x)_2Fe_(17)C_y化合物的结构与磁性

用快速急冷方法制备了(Er_(1-x)Sm_x)_2Fe_(17)C_y(x≤0.8,1.5≤y≤2.5)化合物,它们具有菱方Th_2Zn_(17)型结构,并且在高温是稳定的。与相应的不含C的(Er_(1-x)Sm_x)_2Fe_(17)化合物比较,当C含量y=2.5时,引起单胞体积增加～6.3％,居里温度增加约330—360K,并使室温饱和磁化强度显著提高。当y≥1.5时,含Sm样品在室温时均显示出轴各向异性,(Er_(0.2)Sm_(0.8)_2Fe_(17)C_(1.5)化合物的室温各向异性场H_α=8T。     

开拓一道力学题(解答部分)

(1)其自由液面为抛物面. 如图1,以桶轴为y轴,建立直角坐标系x-o-y.在液面上距y轴为x处,取一微元质量dm为研究对象.受力分析如图1受重力为dmg,(g为重力场强度),液体对它的支持力N,这两个力的合力使dm做圆周运动,dm的向心力为:F=dmω2xn°(n°是指向轴心的单位矢),故有: N+dmg=F (x出轴:N　sinθ=dmω2x　　(1) y轴。Ncosθ=dmg(2) 其中θ是dm受到的支持力与竖立轴y间的夹角。或者是该dm处切线与x轴间的夹角.有. 由(1)(2)和(3)式解得 为抛物面顶点距桶底的高。 (2)抛物面的顶点距器底高度随ω变化的关系图.图2为一轴截面,由体系质量不变,桶…     

Mn掺杂对La_(0.925)Pr_(0.925)Sr_(0.15)CuO_4磁性和超导电性的影响

La0.925Pr0.925Sr0.15Cu1-xMnxO4+y(LPSCMO)多晶样品采用传统的固相反应法制备.X射线衍射表明:LP-SCMO具有典型的空穴搀杂的T-214相的结构.磁化率测量显示:Mn掺杂在x≤0.05范围内具有超导转变;Tc随x的增大逐渐减小.对x≥0.10的样品,在低温区(大约10K)存在反铁磁转变,并且转变温度变化不大.对于x≥0.15的样品,在220K附近存在类似巨磁阻材料的铁磁性转变,并对其产生的机理进行了分析.     

(2+1)维Korteweg-de Vries方程的复合波解及局域激发

借助Maple符号计算软件,利用Pdccati方程(ζ′=a_0+a_1ζ+a_2ζ~2)展开法和变量分离法,得到了(2+1)维Korteweg-de Vries方程(KdV)包含q=C_1x+C_2y+C_3t+R(x,y,t)的复合波解,根据得到的孤立波解,构造出KdV方程新颖的复合波裂变和复合波湮灭等局域激发结构。     

M_yM′_(1-y)FCl_xBr_(1-x):Sm~(2+)材料制备光谱性质和光谱烧孔

本文介绍用高温固相扩散方法制备M_yM′_(1-y)FCl_xBr_(1-x):Sm~(2+)(M′=Mg、Ca、Sr、Ba;x,y=1,0.8,…,0),并对这些系列材料发光性质进行了研究.结果表明:非均匀线宽主要受材料中阴离子随机分布影响;材料中x的变化及M,M′的不同或y的变化,对Sm~(2+)的4f~55d能级位置都有影响;对于BaFCl_xBr_(1-x):Sm~(2+)和Sr_yCa_(1-y)FCl_(0.5)Br_(0.5):Sm~(2+)系列材料~5D_0—~7F_0发射峰值与x、y值关系给予了理论解释;选择出较好的光谱烧孔材料Mg_(0.5)Sr_(0.5)FCl_(0.5)Br_(0.5):Sm~(2+),研究了其热猝灭规律,实现了这种材料在77K下的光谱烧孔,对其孔深、孔宽、烧孔能级、存储密度进行了测量计算,为进一步改善材料,研究烧孔机制提供了依据.     

Adsorption of silver on (001), (011) and (111) oriented tungsten single crystals

Work function changes caused by silver adsorption were measured on (001), (011) and (111) tungsten single crystal planes using electron beam method. The decrease of the work function was observed on all planes studied in the small coverage region. The result evidences that the increase previously observed for the average work function in this coverage region can not be connected with negative dipole formation with silver atoms.     

Exact Solutions of (2+1)-Dimensional Boiti-Leon-Pempinelle Equation with (G'/G)-Expansion Method

In this paper, we construct exact solutions for the (2+1)-dimensional Boiti-Leon-Pempinelle equation by using the (G'/G)-expansion method, and with the help of Maple. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. This method can beapplied to other higher-dimensional nonlinear partial differential equations.     

New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

New Complexiton Solutions of (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2 1)-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

Experimental determination of the azimuthal and radial mode orders of a partially coherent LG_(pl) beam(Invited Paper)

It is known that one can determine the mode orders(i.e.,the azimuthal order and radial order)of a partially coherent LG_(pl) beam(i.e.,a partially coherent vortex beam)based on the measurement of the cross-correlation function(CCF)and the double correlation function(DCF)together.The technique for measuring the CCF is known.In this Letter,we propose a method for measuring the DCF.Based on the proposed method,the determination of the mode orders of a partially coherent LG_(pl) beam is demonstrated experimentally.     

An improved boundary element-free method （IBEFM） for two-dimensional potential problems

The interpolating moving least-squares (IMLS) method is discussed first in this paper. And the formulae of the IMLS method obtained by Lancaster are revised. Then on the basis of the boundary element-free method (BEFM), combining the boundary integral equation (BIE) method with the IMLS method, the improved boundary element-free method (IBEFM) for two-dimensional potential problems is presented, and the corresponding formulae of the IBEFM are obtained. In the BEFM, boundary conditions are applied directly, but the shape function in the MLS does not satisfy the property of the Kronecker δ function. This is a problem of the BEFM, and must be solved theoretically. In the IMLS method, when the shape function satisfies the property of the Kronecker δ function, then the boundary conditions, in the meshless method based on the IMLS method, can be applied directly. Then the IBEFM, based on the IMLS method, is a direct meshless boundary integral equation method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus it gives a greater computational precision. Some numerical examples are presented to demonstrate the method.     

C20F20分子电子输运性质的第一性原理研究

利用第一性原理密度泛函理论和非平衡格林函数方法研究了C₂₀F₂₀分子的电子输运性质. 计算得到了C₂₀F₂₀分子的平衡电导为0385 G₀ 其I-V曲线表现出较好的线性特性. 在有限偏压范围内具有较稳定的电导值, 可以用于制备稳恒电阻分子器件. 关键词： 20F₂₀分子')" href="#">C₂₀F₂₀分子 电子输运 分子器件     

2+1维U(1)格点规范场论中真空态的研究

对2+1维U(1)格点规范场论真空态进行研究,仔细推导出连续极限下真空谈函数中参数μ₀和μ₂的普适表达式,并用截断本征方程法进行数值计算.     

New Explicit Solutions of (1+1)-Dimensional Variable-Coefficient Broer-Kaup System

By using the compatibility method, many explicit solutions of the (1+1)-dimensional variable-coefficient Broer-Kaup system are constructed, which include new solutions expressed by error function, Bessel function, exponential function, and Airy function. Some figures of the solutions are given by the symbolic computation system Maple.     

变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解

本文为获得非线性发展方程的相互作用解,研究了辅助方程法,并扩展应用辅助方程法和(G'/G)展开法, 获得了变系数非线性(2+1)维Nizhnik-Novikov-Vesselov方程的由椭圆函数、双曲函数、 三角函数和有理函数混合构成的新相互作用解. 关键词： G'/G)展开法')" href="#">(G'/G)展开法 辅助方程法 三孤子解