电子束蒸发氧化锆薄膜的粗糙度和光散射特性

利用电子束蒸发工艺，以Ag层为衬底，沉积了中心波长为632.8nm的氧化锆(ZrO₂)薄膜，膜层厚度在80—480nm范围内变化.研究了不同厚度样品的粗糙度变化规律和表面散射特性.结果发现，随着膜层厚度的逐渐增加，其表面均方根(RMS)粗糙度和总积分散射(TIS)均呈现出先减小后增大的趋势.利用非相关表面粗糙度的散射模型对样品的TIS特性进行了理论计算，所得结果与测量结果相一致. 关键词： 氧化锆 表面粗糙度 标量散射 电子束蒸发     

鞅的(Φ_1,Φ_2)-型倒向极大不等式

设Φ_1,Φ_2是非负凸函数,证明了鞅的倒向极大算子不等式‖f‖Φ_2≤C‖f*‖Φ_1对于任意鞅f=(f_n)_n≥0成立的充分必要条件是Φ_2(?)Φ_1;鞅的极大算子均方算子的极大极小不等式‖M(f)‖Φ_2≤C_1‖m(f)‖Φ_1及‖m(f)‖Φ_2≤C_2‖M(f)‖Φ_1成立的充分必要条件是Φ_2(?)Φ_1,这里M(f)=max{f*,S(f)},m(f)=min{f*,S(f)}分别是极大算子、均方算子的极大极小函数.     

Increasing-order Projective Synchronization of Chaotic Systems with Time Delay

This work is concerned with lag projective synchronization of chaotic systems with increasing order. The systems under consideration have unknown parameters and different structures. Combining the adaptive control method and feedback control technique, we design a suitable controller and parameter update law to achieve lag synchronization of chaotic systems with increasing order. The result is rigorously proved by the Lyapunov stability theorem. Moreover, corresponding simulation results are given to verify the effectiveness of the proposed methods.     

周期性微结构硅基表面辐射特性数值研究

本文通过时域有限差分法求解 M-well 方程组,分析微结构表面与入射辐射间的相互作用,结合近场 - 远场辐射转换模型,获得了尺寸、温度和入射波长等参数对表面双向反射分布函数的影响规律,研究结果为热辐射的光谱和方向调控技术提供了数值基础.     

From Claringbullite to a New Spin Liquid Candidate Cu_3Zn(OH)_6FCl

The search for quantum spin liquid(QSL) materials has attracted significant attention in the field of condensed matter physics in recent years, however so far only a handful of them are considered as candidates hosting QSL ground state. Owning to their geometrically frustrated structures, Kagome materials are ideal systems to realize QSL. We synthesize the kagome structured material claringbullite(Cu_4(OH)_6FCl) and then replace inter-layer Cu with Zn to form Cu_3Zn(OH)_6FCl. Comprehensive measurements reveal that doping Zn~(2+) ions transforms magnetically ordered Cu_4(OH)_6FCl into a non-magnetic QSL candidate Cu_3Zn(OH)_6FCl. Therefore,the successful syntheses of Cu_4(OH)_6FCl and Cu_3Zn(OH)_6FCl provide not only a new platform for the study of QSL but also a novel pathway of investigating the transition between QSL and magnetically ordered systems.     

高阶非齐次GBBM方程

本文研究了高阶非齐次ＧＢＢＭ方程的Ｃａｕｃｈｙ问题和初边值问题。对任意的有界或无界光滑区域Ω，采用Ｂａｎａｃｈ不动点原理及一系列的积分估计，建立了高阶非齐次ＧＢＢＭ方程的Ｃａｕｃｈｙ问题和初边值问题在Ｗ＾２ｍ，ｐ（Ω）上整体强解的存在唯一性，这些结果改进并完善了ＢＢＭ方程的已有结果，与此同时，我们还讨论了强解的正则性。     

新疆甜菜种植区研究

文章对新疆各地区所拥有的各类土地面积进行了样本均值，方差及相关分析，找出了各类土地之间的联系，进而按照对甜菜生长产生影响的气象因素，对耕地进行了数值分类，划分了甜菜最佳及适宜种植区。     

Asymptotic Behavionr of solutions for the CoupledKlein－Gordon－Schrodinger Eqnations

ＡｓｙｍｐｔｏｔｉｃＢｅｈａｖｉｏｎｒｏｆｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅＣｏｕｐｌｅｄＫｌｅｉｎ－Ｇｏｒｄｏｎ－ＳｃｈｒｏｄｉｎｇｅｒＥｑｎａｔｉｏｎｓＧｕｏＢｏｌｉｎｇ（郭柏灵）＊；ＭｉａｏＣｈａｎｇｘｉｎｇ（苗长兴）（ＢｅｉｊｉｎｇＩｎｓｔｉｔｕ...     

Polymerization of 1,3-Butadiene Catalyzed by Cobalt(Ⅱ) and Nickel(Ⅱ) Complexes Bearing Pyridine-2-imidate Ligands

Cobalt and nickel complexes (1a-1d and 2a-2d, respectively) supported by 2-imidate-pyridine ligands were synthesized and used for 1,3-butadiene polymerization. The complexes were characterized by IR and element analysis, and complex 1a was further characterized by single-crystal X-ray diffraction. The solid state structure of complex 1a displayed a distorted tetrahedral geometry. Upon activation with ethylaluminum sesquichloride (EASC), all the complexes showed high activities toward 1,3-butadiene polymerization. The cobalt complexes produced polymers with high cis-1,4 contents and high molecular weights, while the nickel complexes displayed low cis-1,4 selectivity and the resulting polymers had low molecular weights. The catalytic activities of the complexes highly depended on the ligand structure. With the increment of polymerization temperature, the cis-1,4 content and the molecular weight of the resulting polymer decreased.     

退火对熔石英表面损伤修复点损伤增长的影响

研究不同参数退火处理的熔石英表面损伤修复点再次损伤及损伤增长时的形貌和损伤增长率的差异, 同时与未退火的基底及修复点的损伤增长行为对比. 结果表明: 未退火的修复点再次损伤后, 损伤点周围的裂纹会在应力的作用下继续扩展, 导致更加严重、尺寸更大的损伤点; 当退火处理将修复点周围应力导致的光程差控制在25 nm左右时, 虽损伤增长速率较快, 但可有效抑制裂纹扩展. 同时研究结果也表明只要退火过程能将修复点周围应力导致的光程差控制在10 nm以下, 其损伤增长率与基底的损伤增长率没有明显差异, 从而可以有效控制修复点的损伤增长速率. 研究结果可为分析应力对修复点损伤增长的影响、指导退火参数的优化提供参考.