Asymptotic behaviour of initially separated A + B(static) → 0 reaction-diffusion systems

We examine the long-time behaviour of A + B(static) → 0 reaction-diffusion systems with initially separated species A and B. All of our analysis is carried out for arbitrary (positive) values of the diffusion constant D_A of particles A and initial concentrations a₀ and b₀ of A's and B's. We derive general formulae for the location of the reaction zone centre, the total reaction rate, and the concentration profile of species A outside the reaction zone. The general properties of the reaction zone are studied with a help of the scaling ansatz. Using the mean-field approximation we find the functional forms of ‘tails’ of the reaction rate R and the dependence of the width of the reaction zone on the external parameters of the system. We also study the change in the kinetics of the system with D_B > 0 in the limit D_B → 0. Our results are supported by numerical solutions of the mean-field reaction-diffusion equation.     

硫在Ni_(110)表面偏析的角分辨俄歇研究

本实验采用LEED及角分辨俄歇两种手段,对硫在Ni_(110)表面的偏拆作了详细的分拆。角分辨俄歇表明:Ni_(110)表面硫的偏折存在一硫的深度分布,分布层厚度大约为2～3镍原子层厚度。而LEED观察表明,当退火温度达到900℃退火4～5秒,将得到清晰的C_(2×2)图形。     

铝合金锭光电光谱分析的误差

在用光电直读光谱仪分析铝合金时,在不同激发点所取得的合金元素的测定结果,特别是硅的测定值,之间存在明显偏差,并证实系由合金的偏析所引起。通过改进取样方法,即将原来从铝合金锭的中间及两端截取块样,改为在铝锭的任意位置纵断面切块取样,有效地克服了不同激发点所得结果存在明显偏差的问题,使所得分析结果相互之间的偏差值很小而合理。     

Well width study of InGaN multiple quantum wells for blue–green emitter

InGaN/GaN multiple quantum well structures emitting in the blue/green wavelength region were grown by metal organic vapor phase epitaxy. By reducing the quantum well growth time the influence of the quantum well thicknesses between 3.8 and 1.1 nm on the indium incorporation and the distribution of indium in the quantum wells in growth direction were investigated. X-ray diffraction measurements show that the average indium mole fraction in the quantum wells decreases with reducing quantum well width due to a delay in the indium incorporation at the barrier/well interface. Quantitative analysis reveals a segregation length of about 2 nm as a measure of the graded region in growth direction. Cathodoluminescence imaging reveals that the spatial variation of the wavelength is reduced with decreasing quantum well thickness down to 1.7 nm. Reducing the width of the quantum well further results in an increase of the spatial wavelength variation.     

Bulk crystal growth of congruent MgO-doped LiNbO3 crystal with stoichiometric structure and its second-harmonic-generation properties

A new LiNbO₃ bulk crystal has been grown by doping with MgO (cs-MgO:LN; Li₂O:Nb₂O₅:MgO=45.30:50.00:4.70, (Li_0.906Mg_0.047V^Li_0.047)NbO₃), which successfully has the congruent point coinciding with the stoichiometric point. Its second-harmonic-generation (SHG) properties were evaluated. It was found that cs-MgO:LN has a much more homogeneous composition leading to uniform in-plane distribution of the non-critical phase-matching wavelength than the conventional LiNbO₃ crystals such as congruent LiNbO₃ (c-LN), stoichiometric LiNbO₃ (s-LN), and MgO-doped congruent LiNbO₃ (5MgO:LN). This homogeneity arose from the observation that none of the solute components including ionic species were segregated at the interface during growth. The SHG conversion efficiency of cs-MgO:LN is comparable to those of s-LN and 5MgO:LN.     

Ionic impurity transport and partitioning at the solid–liquid interface during growth of lithium niobate under an external electric field by electric current injection

Transport of ionic species in the melt and their partitioning at the solid–liquid interface during growth of lithium niobate was studied under the influence of intrinsic and external electric fields. A Mn-doped lithium niobate (Mn:LiNbO₃) single crystal was grown via the micro-pulling-down (μ-PD) method with electric current injection at the interface. Mn ions were accumulated or depleted at the interface, depending on the sign of the injected current. The electric current injection induced an interface electric field as well as a Coulomb force between the interface and Mn ions. The electric field modified the transportation of Mn ions and their partitioning into the crystal, while the Coulomb force led to adsorption or rejection of Mn ions at the interface in addition to Mn concentration change due to the electric field. Effect of the Coulomb force was often observed to be larger on Mn concentration at the interface than that of the induced electric field, and dominated the redistribution of Mn in the solid. It has been experimentally and analytically shown that Mn concentration partitioned into the crystal can be obtained by multiplying Mn concentration at the interface by a field-modified partition coefficient, k_E0, instead of the conventional equilibrium partition coefficient, k₀.     

Studies of comonomer distributions and molecular segregations in metallocene-prepared polyethylenes by DSC

This paper is devoted to the study of crystallization and melting of two metallocene polyethylenes (m-PEs). A metallocene linear low density polyethylene (m-LLDPE) and a metallocene very low density polyethylene (m-VLDPE) were used consisting of 3.3 mol% butyl and 6 mol% ethyl branches, respectively. Several melt endotherms after stepwise crystallization revealed that the two m-PEs consisted of molecular fractions with different molecular weight and branch distribution. More segregation was observed for the m-VLDPE comparing with m-LLDPE. Using the relationships proposed by Hosoda, the short chain branching distribution (SCBD) and the average methylene groups in the lamella thickness were also calculated for the two polymers. These values were compared with the values obtained from theory of rubber elasticity. There was a very good correlation between the data.     

Numerical simulation and validation of the Peltier pulse marking of solid/liquid interfaces

We describe a numerical approach of the solidification of binary alloys to study the motion of a crystal/melt interface submitted to current pulses involving a modification of the dopant concentration field. For the thermal aspect, the Thomson effect, the Peltier effect and Joule heating have been included in the heat flow. For the solutal segregation, our model is based on mass transports which occur in the liquid phase, namely diffusion and convection. Numerical computations are validated by comparison with experimental data and thus could find applications in the prediction of the effects of Peltier pulse marking in crystal growth.     

Theoretical aspects of solute segregation to high-angle grain boundaries

A high-angle grain boundary is modeled as a planar defect characterized by its thickness and atomic density. We successively examine the elastic and electronic contributions to the solute/grain boundary binding energy. We deduce the effect of the grain boundary physical parameters on its propensity for segregation. The thickness of high-angle grain boundaries is not a fundamental parameter for segregation. The atomic density in the grain boundary controls the electronic binding energy. The rate of change of elastic constants with the density is the important factor in the elastic contribution to segregation. We conclude that segregation to boundaries with small excess volumes is not precluded.     

Experimental and computational studies on flow behavior of gas-solid fluidized bed with disparately sized binary particles

This paper presents experimental and computational studies on the flow behavior of a gas-solid fluidized bed with disparately sized binary particle mixtures. The mixing/segregation behavior and segregation efficiency of the small and large particles are investigated experimentally.Particle composition and operating conditions that influence the fluidization behavior of mixing/segregation are examined. Based on the granular kinetics theory, a multi-fluid CFD model has been developed and verified against the experimental results. The simulation results are in reasonable agreement with experimental data. The results showed that the smaller particles are found near the bed surface while the larger particles tend to settle down to the bed bottom in turbulent fluidized bed. However, complete segregation of the binary particles does not occur in the gas velocity range of 0.695--0.904 m/s. Segregation efficiency increases with increasing gas velocity and mean residence time of the binary particles, but decreases with increasing the small particle concentration. The calculated results also show that the small particles move downward in the wall region and upward in the core. Due to the effect of large particles on the movement of small particles, the small particles present a more turbulent velocity profile in the dense phase than that in the dilute phase.