A note on operator‐valued Fourier multipliers on Besov spaces

Let X be a Banach space. We show that each m : ? \ {0} → L (X ) satisfying the Mikhlin condition sup_{x ≠0}(‖m (x )‖ + ‖xm ′(x )‖) < ∞ defines a Fourier multiplier on B ^s _p,q (?; X ) if and only if 1 < p < ∞ and X is isomorphic to a Hilbert space; each bounded measurable function m : ? → L (X ) having a uniformly bounded variation on dyadic intervals defines a Fourier multiplier on B ^s _p,q (?; X ) if and only if 1 < p < ∞ and X is a UMD space. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Bounds on an anomalous dijet resonance in W+jets production in pp collisions at √s = 1.96 TeV

We present a study of the dijet invariant mass spectrum in events with two jets produced in association with a W boson in data corresponding to an integrated luminosity of 4.3 fb(-1) collected with the D0 detector at √s = 1.96 TeV. We find no evidence for anomalous resonant dijet production and derive upper limits on the production cross section of an anomalous dijet resonance recently reported by the CDF Collaboration, investigating the range of dijet invariant mass from 110 to 170 GeV/c(2). The probability of the D0 data being consistent with the presence of a dijet resonance with 4 pb production cross section at 145 GeV/c(2) is 8×10(-6).     

系列双核Ln(III)配合物的晶体结构和磁性

合成了分子式为[Ln~2(phen)~2L],phen=C~1~2H~8N~2[ALn=Nd,L=(CH~3COO)~4(ONO~2)~2,BLn=Sm,L=(C~6H~5COO)~6,CLn=Eu,L=(C~6H~5COO)~6]3种同双核配合物。用X射线四圆衍射仪测定了3种化合物的结构。在化合物A分子中,2个Nd(III)原子由4个CH~3COO^-基团桥联,以phen和ONO~2^-为端基,构成了一个具有C~2对称性的双核分子。配合物B和C具有完全相同的结构,它们是以4个苯甲酸根为桥,2个phen和2个C~6H~5COO^-为端基的中心对称双核分子,其中6个苯甲酸根的成键状态可分为3种状况。在3种化合物中,每个Ln均为9配位,呈不规则多面体。Ln-Ln距离,A为0.397nm,B和C均为0.405nm。测定了各配合物的变温磁化率,通过对磁性质研究,发现化合物A在低温下具有反铁磁物质行为,并由理论拟合,求得了磁参数g,J值。     

动态配位空间的构筑与调控

“配位空间”(Coordination Space)是无机-有机杂化体系中的构筑基元通过配位键连接形成的具有特定结构和功能的空间。这一概念为基于配位键的框架体系的定向构筑与结构-性能调控提供了新的视角。作为典型的无机-有机杂化材料,金属-有机框架(Metal-Organic Framework,MOF)及金属有机笼(Metal-Organic Cage,MOC)等近年来受到广泛关注。这类材料的构筑与性能调控的核心可以认为是对其配位空间的结构设计与性能调控。具有刺激响应性的MOF可展现动态的配位空间,使其在吸附分离、传感、药物投递等方面具有重要的应用前景。本文将以动态金属有机框架的相关研究为基础简述动态配位空间研究的近期进展,包括其动态行为产生的结构基础、诱发因素及相关性能,归纳结构-性能的关系,为相关研究提供参考。     

锥形光纤中光波传输特性的蒙特卡罗模拟

为了分析锥形光纤中光子流的传输特性和空间分布特性,采用了蒙特卡罗算法对其进行了模拟仿真,得到了大量光子经过锥形光纤后的光子分布图.模拟实验结果表明,通过锥形光纤的大量光子集中在探测器中心,到达探测器某一位置的光子数随着该位置到探测器中心距离的增加而减少,并且在锥形光纤锥度比一定的条件下,改变锥形光纤长度,光强度随着长度的增加而下降,但通过锥形光纤的光子分布是一样的.这些研究结果对锥形光纤的设计和实际应用提供了重要依据.     

37mm冲压加速器试验和计算

气动中心超高速所自1995年正式开展冲压加速器研究以来,自行研制成功了国内第一座冲压加速器．给出冲压加速器这一新型超高速发射器的工作原理及国内外研究现状,然后介绍气动中心超高速所37mm冲压加速器系统组成、典型发射试验结果及有关的数值计算工作．     

仪器分析教学中通过实例培养学生的创新能力——电位滴定终点确定的新方法

以电位滴定终点确定新方法探讨研究为例,从5个方面介绍将创新能力培养融入基础课教学的探索。通过该研究提高了学生基础课学习热情与学习质量。首先改进了二次差值微商终点计算方法,通过Excel计算Δ²E/ΔV²-V二次差值微商法数据表中的最高点与最低点直线线性方程y=ax+b,令y=0,x=-b/a即为终点。另外,研究得到了模拟滴定曲线微分法确定电位滴定终点的新方法。用Excel对滴定曲线进行三次方程模拟即:y=ax³+bx²+cx+d,二次微分后得到:d²y/dx²=6ax+2b,当d²y/dx²=0,对应的x=-b/3a处即为滴定终点。     

Current and shot noise in two capacitively coupled single electron transistors with an atomic sized spacer

The currents and their fluctuations in two capacitively coupled single electron transistors are determined in the limit of sequential tunnelling. Our considerations are restricted to the case when the islands (dots) of the transistors are atomic-sized, which means each of them has only one single electronic level available for the tunnelling processes. The Coulomb interactions of accumulated charges on the both single electron transistors lead to the effect of the negative differential resistance. An enhancement of the current shot-noise was also found. Spectral decomposition analysis indicated the two main contributions to the shot-noise: low- and high-frequency fluctuations. It was found that the low frequency fluctuations (polarization noise) are responsible for a strong enhancement of the current noise. Received 9 October 2001 / Received in final form 8 March 2002 Published online 9 July 2002     

A Sub‐50‐nm Monosized Superparamagnetic Fe3O4@SiO2 T2‐Weighted MRI Contrast Agent: Highly Reproducible Synthesis of Uniform Single‐Loaded Core–Shell Nanostructures

Oleic acid stabilized superparamagnetic iron oxide nanoparticles (SPION) were selected as the cores for fabrication of sub‐50‐nm monodisperse single‐loaded SPION@SiO₂ core–shell nanostructures. Parameters that influence the formation of SPION@SiO₂ in the water‐in‐oil reverse microemulsion system have been systematically investigated. The sufficiently high concentration of well‐dispersed SPION, together with an appropriately low injection rate of tetraethoxysilane, were found to be the keys to efficiently prevent the homogeneous nucleation of silica and obtain a high‐quality single‐loaded core–shell nanocomposite. A more detailed mechanism for incorporating oleic acid capped inorganic functional nanoparticles into silica is proposed on the basis of previous reports and our new experimental results. Finally, the as‐synthesized SPION@SiO₂ nanospheres are exploited as an MRI‐enhanced contrast agent, and their contrast effect in solution is tested by using a clinical MRI instrument.