Two‐level Newton iterative method for the 2D/3D steady Navier‐Stokes equations

A combination method of the Newton iteration and two‐level finite element algorithm is applied for solving numerically the steady Navier‐Stokes equations under the strong uniqueness condition. This algorithm is motivated by applying the m Newton iterations for solving the Navier‐Stokes problem on a coarse grid and computing the Stokes problem on a fine grid. Then, the uniform stability and convergence with respect to ν of the two‐level Newton iterative solution are analyzed for the large m and small H and h << H. Finally, some numerical tests are made to demonstrate the effectiveness of the method. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012     

Design of a broadband μ-negative planar material with low frequency dispersion

Compared with the traditional split-ring resonator reported by Pendry et al. (IEEE Trans. Microw. Theory Tech. 47:2075, 1999), the co-directional split-ring resonator, which has inherent low mutual coupling between its outer and inner rings, can provide distinct dual-band magnetic resonances. In this paper, we analyzed and compared different types of split-ring resonator, but selected the co-directional split-ring resonator for the tri-band magnetic resonator design because of its attractive dual-band magnetic resonance characteristics. We then accommodated the rings’ resonant strengths in the co-directional split-ring resonator to be nearly equal, and added an arm-loaded ring to design a new tri-band magnetic resonator. Finally, we designed and experimentally demonstrated a broadband μ-negative planar material with low frequency dispersion, which consisted of three pairs of tri-band magnetic resonators with slightly different dimensions.     

First-principles calculations of interfacial and segregation energies in α-Cr2O3

The interfacial energies of three twin boundaries with low-index boundary planes: prismatic (101?0), basal O-terminated (0001), and basal Cr-terminated (0001), and the segregation energies of five doping elements (Ce, Hf, La, Y and Zr) have been calculated as a function of temperature. The static energies at 0 K were obtained through first-principles calculations and the energies at finite temperatures were derived based on the Debye model. The calculation results show that both the interfacial and segregation energies decrease as temperature increases and the segregation energies are found to be proportional to the ionic size mismatch and the interfacial energy. Our combined approaches suggest an efficient and less computationally intensive way to derive grain boundary energetics at finite temperatures.     

Zinc‐Diluted Magnetic Metal Formate Perovskites: Synthesis,Structures, and Magnetism of [CH3NH3][MnxZn1−x(HCOO)3] (x=0–1)

The preparation, structures, and magnetic properties of a series of metal formate perovskites [CH₃NH₃][Mn_xZn_1?x(HCOO)₃] were investigated. The isostructural solid solution can be prepared in the complete range of x=0–1. The metal–organic perovskite structures consist of an anionic NaCl type [Mn_xZn_1?x(HCOO)₃^?] framework with CH₃NH₃⁺ templates located in the nearly cubic cavities and forming hydrogen bonds to the framework. When the proportion of Mn increased (i.e., x changed from 0 to 1), the lattice dimensions and metal–oxygen and metal–metal distances show a slight, nonlinear increase because of the increased averaged metal ionic radius and the local structure distortion. Through the series, the magnetism changes from the long‐range ordering of spin‐canted antiferromagnetism for x≥0.40 to paramagnetism when x≤0.30, and the percolation limit was estimated to be x_P=0.31(2) for this simple cubic lattice. In the low‐temperature region, enhancement of magnetization and the gradual decrease and final disappearance of coercive field, remnant magnetization, and spin‐flop field upon dilution were observed through this isotropic Heisenberg magnetic series. IR spectroscopic and thermal properties were also investigated.     

溶液浓度对CCl4费米共振的影响

测量了四氯化碳在苯中不同浓度的拉曼光谱,分析了不同浓度下四氯化碳v₁+v₄~v₃费米共振的变化。结果表明:随着浓度的降低,两费米双光谱强度比R增加,而频差Δ减小、费米共振耦合系数W减小、非谐力常数K增加。这种费米共振随浓度的变化是由溶剂效应引起的,即随着四氯化碳在苯中的浓度降低,其拉曼散射系数(光谱强度)增加,使两费米双线光谱强度增加而减弱了费米共振。     

燃烧辅助合成LiNi0.05Mn1.95O4粉体及其性质研究

以醋酸锂、醋酸锰、硝酸镍、柠檬酸、乙二醇为原料,采用燃烧辅助合成锂离子电池正极材料LiNi0.05Mn1.95O4。采用X射线衍射、扫描电子显微镜、循环伏安、恒电流充放电等技术对合成产物进行物相、形貌及电化学性能分析与测试。结果表明:采用燃烧辅助合成LiNi0.05Mn1.95O4过程中,前驱体在空气中点燃后已形成单一尖晶石相,经750℃热处理4 h后得到的LiNi0.05Mn1.95O4粉末X射线衍射峰尖锐,结晶性好,晶粒尺寸均匀。该法合成的LiNi0.05Mn1.95O4粉末首次放电比容量为117.5 mAh.g-1,经50次充放电循环后的容量保持率为95.1%,合成的LiNi0.05Mn1.95O4粉末具有良好的电化学性能。     

Dynamic and quantitative phase-contrast imaging of living cells under simulated zero gravity by digital holographic microscopy and superconducting magnet

The experiment of dynamic and quantitative phase-contrast imaging of living cells in simulated zero gravity environment were performed by using digital holographic microscopy (DHM) combined with a superconducting magnet (SM). The SM with large gradient high magnetic field was used to simulate zero gravity by levitating biological living samples. The proposed DHM system provided highly efficient and versatile means for dynamically and quantitatively phase-contrast imaging MC3T3-E1 cells. To our knowledge, the phase images of living cells undergoing modifications and division under simulated zero gravity were firstly obtained by using DHM-SM prototype.     

钡钨阴极优化与热电子发射性能

分别从基体和铝酸盐两方面优化了钡钨阴极.在基体方面,首先采用窄粒度钨粉结合放电等离子体烧结获得了孔径分布窄的基体;再利用射频等离子体球化技术制备了球形钨粉,采用球形钨粉制备了多孔基体,获得了孔通道光滑、内孔连通性好、孔径分布更加窄的基体.与窄粒度钨粉基体相比,球形钨粉制备的阴极,空间电荷限制区的斜率由1.25增加至1.37,发射均匀性得到提高,拐点电流密度由6.6 A·cm^–2增至6.96 A·cm^–2.在此基础上,采用液相法改善了铝酸盐物相组成,发现空间电荷限制区的斜率增加至1.44,拐点电流密度增加至21.2 A·cm^–2.通过理论计算对钡钨阴极发射的物理本质进行了研究,发现钡钨阴极发射规律遵循偶极子理论.     

二次有机气溶胶估算方法比较研究

为研究北京夏季二次有机气溶胶（SOA）浓度,比较多种SOA估算方法的不确定性和在我国的适用性,在CAREBEIJING 2008大型观测期间在城市点北大点和郊区点榆垡点采集大气颗粒物PM_2.5样品,利用多种方法对二次有机碳（SOC）的浓度进行了估算,估算方法包括二次有机示踪物产率法、非一次源OC法、非生物质燃烧水溶性有机碳法（WSOC）和元素碳示踪有机碳/元素碳比值法.估算结果表明,二次有机气溶胶已经成为北京颗粒有机物的重要组成部分,夏季SOC可以占总有机碳（OC）的50%甚至更高。通过模拟我国典型的生物质燃烧,实测建立适合我国的获得了非生物质燃烧WSOC方法中的重要参数,即获得方法中重要参数生物质燃烧排放颗粒物中WSOC/OC的比值,我国生物质燃烧颗粒物中该比值平均为0.48±0.04.多种方法结果均表明,SOA已经成为北京颗粒有机物的重要组成部分,所占比例可以达到50%甚至更高.利用化学质量守恒模型（CMB）和示踪物产率法对颗粒有机物来源进行闭合发现,依靠目前的示踪物技术北京大气颗粒有机物中仍然有20%～27%的来源不清楚.通过综合比较了多种SOC估算方法,确定了各方法在我国的适用性： 示踪物产率法、非一次源OC法和EC示踪OC/EC比值法可适用于我国大气中SOC的估算,但是非生物质燃烧WSOC方法仅适用于我国大气中水溶性SOC的估算,但是不同方法之间存在的系统误差.本研究还对这几种方法的不确定性做了初步的分析,为其他研究者选择估算方法提供参考和依据.示踪物产率法仅估算了几种特定VOCs前体物对SOC贡献,因此低估了总的SOC,但是这种方法是目前唯一一种可以估算特定VOCs前体物对SOC贡献的方法;同样地,非生物质燃烧WSOC法仅估算了水溶性的SOC,因此也低估了总的SOC;非一次源OC法高估了SOC,这主要是由于未能解析出的一次源OC造成的.而且这种高估在城市地区更为显著,主要是因为城市地区一次源相对比较复杂造成的;非生物质燃烧WSOC法低估了总的SOC,而且这种方法仅适用于我国水溶性SOC的估算;EC示踪OC/EC比值法的主要不确定性来自于一次源OC/EC比值的确定,由于这个比值造成的单点误差最高可高估54%或低估64%.     

Application of longitudinal generalized magneto-optical ellipsometry in magnetic ultrathin films

The longitudinal generalized magneto-optical ellipsometry(GME) method is extended to the measurement of threelayer ultrathin magnetic films. In this work, the theory of the reflection matrix is introduced into the GME measurement to obtain the reflective matrix parameters of ultrathin multilayer magnetic films with different thicknesses. After that, a spectroscopic ellipsometry is used to determine the optical parameter and the thickness of every layer of these samples, then the magneto-optical coupling constant of the multilayer magnetic ultrathin film can be obtained. After measurements of a series of ultrathin Fe films, the results show that the magneto-optical coupling constant Q is independent of the thickness of the magnetic film. The magneto-optical Kerr rotations and ellipticity are measured to confirm the validity of this experiment. Combined with the optical constants and the Q constant, the Kerr rotations and ellipticity are calculated in theory. The results show that the theoretical curve fits very well with the experimental data.