A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors

The purpose of this paper is to study the distribution of integers with a given number prime divisors over arithmetic progressions, via using the large-sieve inequality, Huxley-Hooley contour and the zero-density estimate, and present a Barban-Davenport-Halberstam type theorem for it.     

Solute redistribution profiles during rapid solidification of undercooled ternary Co-Cu-Pb alloy

The solute redistribution and phase separation of liquid ternary Co-35%Cu-32.5%Pb immiscible alloy have been investigated using glass fluxing method. A bulk undercooling of 125 K was achieved and the macrosegregation pattern was characterized by a top Co-rich zone and a bottom Cu-rich zone. The average solute contents of the two separated zones decreased with the increase of undercooling, except for the solute Pb in Cu-rich zone. With the enhancement of undercooling, a morphological transition from dendrites into equaxied grains occurred to the primary α(Co) phase in Co-rich zone. The solute redistribution of Cu in primary α(Co) phase was found to depend upon both the undercooling and composition of Co-rich zone. Stokes migration is shown to be the main dynamic mechanism of droplet movement during liquid phase separation.     

Strain relaxation in nano-patterned strained-Si/SiGe heterostructure on insulator

In order to evaluate the strain stability, arrays of strained Si/SiGe nano-stripes and nano-pillars were fabricated by Electron-Beam Lithography (EBL) and Reactive-Ion Etching (RIE). The strain relaxation in the patterned strained Si on SiGe-on-insulator (SGOI) was investigated by high-resolution UV micro-Raman spectroscopy. The Raman measurements before and after patterning indicate that most of the strain in the top strained Si is maintained until scaling down to 300 nm, and relaxation of <15% is observed in pillars with a dimension of 150 nm × 150 nm. In the nano-patterned heterostructure strained Si/SiGe, the observed relaxation is small, which is mainly attributed to the fully relaxed and dislocation-free SiGe virtual substrate fabricated by modified Ge condensation.     

含2，2＇-联嘧啶桥Ir^III-Ln^III（Ln=Nd，Yb，Er）双金属配合物的合成和光物理性质

选择具有（N^N）（N^N）位点的四齿配体2,2’-联嘧啶fbpm）作为桥联配体,利用铱配合物Ir（dfppy）2（bpm）Cl作为配体与稀土配合物Ln（TTA）3·2H2O配位,得到了Ir^III-Ln^III（Ln=Nd,Yb,Er）双金属配合物[Ir（dfppy）2（bpm）Ln（TTA）3]Cl．通过荧光滴定的方法,测定了该铱配合物与稀土离子之间的络合稳定常数．通过对铱配合物及Ir^III-Ln^III（Ln=Nd,Yb,Er）双金属配合物在可见区光谱的测定,可以观察到明显的铱配合物发光的猝灭,说明从铱中心到稀土中心发生了能量传递．同时,利用可见光选择性激发铱配合物可以获得在稀土Nd^III,Yb^III,E^III离子红外区的发光．说明了铱配合物Ir（dfppy）2（bpm）Cl作为配体可以较好地敏化稀土离子的红外发光．     

Significant downward trend of SO2 observed from 2005 to 2010 at a background station in the Yangtze Delta region,China

SO2 is an important gas in atmosphere with great environmental and climate implications.SO2 emission in China has been receiving great attention as the economy grows and the amount of coal consumption has increased in the past few decades.SO2 has been observed from July 2005 to June 2010 at Linan WMO GAW regional station(30.3 °N,119.73 °E,138 m a.s.l.) located in the Yangtze Delta region in eastern China.These observation data are analyzed to understand the trend of regional SO2 background concentration.Strict quality controls are conducted to ensure the temporal comparability of the data.Significant downward trend with ?2.4 ppb/yr(P < 0.0001) of surface SO2 is observed from 2005 to 2010,especially after 2008.The average concentration of SO2 from July 2005 to June 2008 is 14.2±3.1 ppb,which is slightly higher than the mean values of 13.5±5.1 ppb during 1999?2000 and is two folds of the average value(7.1±3.1 ppb) from July 2008 to June 2010.More than 50% of the SO2 has been cut down after 2008 in the Yangtze Delta region due to the implementation of stricter emission control measures.The peak SO2 concentration appears around 10 o’clock in the morning after 2009 while appears at night before 2009.These diurnal variations of SO2 might indicate that after 2009,more SO2 is from the vertical exchange process than from the local accumulation.     

The kinetics of force-dependent hybridization and strand-peeling of short DNA fragments

Deoxyribonucleic acid (DNA) carries the genetic information in all living organisms. It consists of two interwound single-stranded (ss) strands, forming a double-stranded (ds) DNA with a right-handed double-helical conformation. The two strands are held together by highly specific basepairing interactions and are further stabilized by stacking between adjacent basepairs. A transition from a dsDNA to two separated ssDNA is called melting and the reverse transition is called hybridization. Applying a tensile force to a dsDNA can result in a particular type of DNA melting, during which one ssDNA strand is peeled away from the other. In this work, we studied the kinetics of strand-peeling and hybridization of short DNA under tensile forces. Our results show that the force-dependent strand-peeling and hybridization can be described with a simple two-state model. Importantly, detailed analysis of the force-dependent transition rates revealed that the transition state consists of several basepairs dsDNA.     

Electrostatic interaction mechanism on the separation of phenols by non-aqueous capillary electrophoresis

The electrostatic interaction between additive and analyte is of great importance to non-aqueous cap- illary electrophoresis(NACE)separation.Three tetraalkylammonium bromides and acetonitrile were applied as additives and running solvent respectively.The effect of alkyl chain length and concentra- tion of additive on electrostatic interactions was investigated by the separation of phenols.The sepa- ration ability was found to increase with decreasing alkyl chain length of the additive,and the resolu- tion values were increased with increasing additive concentration.The separation was seriously dete- riorated after a little amount of water was added in the running solution.Furthermore,the electrostatic interaction is strong under the conditions of low electron cloud density,weak steric hindrance and multi-interaction sites.Thus,the separation result can be predicted by theoretical analysis,which is helpful for the separation of other substances in NACE based on electrostatic interaction.     

Some criteria for robust stability of Cohen–Grossberg neural networks with delays

This paper considers the problem of robust stability of Cohen–Grossberg neural networks with time-varying delays. Based on the Lyapunov stability theory and linear matrix inequality (LMI) technique, some sufficient conditions are derived to ensure the global robust convergence of the equilibrium point. The proposed LMI conditions can be checked easily by recently developed algorithms solving LMIs. Comparisons between our results and previous results admits our results establish a new set of stability criteria for delayed Cohen–Grossberg neural networks. Numerical examples are given to illustrate the effectiveness of our results.     

水相CdTe纳米晶的合成、生长机理和应用研究

纳米晶在生物检测、光电器件、光波导、可调激光器等领域有着广泛的应用前景．本文以CdTe为例,对近年来水相纳米品合成和生长机理方面的研究进展作了简要的归纳和论述．水相合成纳米晶具有操作简单、价格低廉、在水溶液中稳定性高等优点,并可以通过静电力、范德华力等弱相互作用实现一维、二维甚至三维结构的组装．对纳米晶的生长机理的研究涵盖了热力学主导的Ostwald熟化（Ostwaldripening）机理和动力学控制的聚集机理两个主要方面．文章最后对水相合成CdTe纳米晶的应用进行了总结和展望,     

Dynamic solidification mechanism of ternary Ag-Cu-Ge eutectic alloy under ultrasonic condition

The dynamic solidification of ternary Ag38.5Cu33.4Ge28.1 eutectic alloy within a 35 kHz ultrasonic field is investigated and compared with both its equilibrium solidification by DSC method and its rapid solidification in drop tube.The volume fractions of the primary(Ge) phase and pseudobinary(Ag+ε2) eutectic solidified within ultrasonic field are larger than those formed under equilibrium state,whereas that of ternary(Ag+ε2+Ge) eutectic exhibits the reverse trend.During rapid solidification,the liquid alloy droplet directly solidifies into ternary(Ag+ε2+Ge) eutectic if its diameter is smaller than 350 m.The ultrasound stimulates the nucleation of alloy melt and prevents the bulk undercooling.With the increase of sound intensity,the primary(Ge) phase transfers from faceted dendrites to nonfaceted blocks with blunt edges,and its grain size is remarkably reduced.Both pseudobinary(Ag+ε2) and ternary(Ag+ε2+Ge) eutectics experience a morphological transition from regular to anomalous structures.This indicates that their cooperative growth mode is replaced by independent growth of eutectic phases under the combined effects of cavitation and acoustic streaming.The ultrasound also shows a prominent coarsening effect to the pseudobinary(Ag+ε2) and ternary(Ag+ε2+Ge) eutectics.