Collapsing and the convex hull property in a soap film capillarity model

Soap films hanging from a wire frame are studied in the framework of capillarity theory. Minimizers in the corresponding variational problem are known to consist of positive volume regions with boundaries of constant mean curvature/pressure, possibly connected by “collapsed” minimal surfaces. We prove here that collapsing only occurs if the mean curvature/pressure of the bulky regions is negative, and that, when this last property holds, the whole soap film lies in the convex hull of its boundary wire frame.     

Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups

Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms arises from the study of the normalizer problem for integral group rings.     

Convergence,boundedness, and ergodicity of regime-switching diusion processes with infinite memory

We study a class of diffusion processes, which are determined by solutions X(t) to stochastic functional differential equation with infinite memory and random switching represented by Markov chain Λ(t): Under suitable conditions, we investigate convergence and boundedness of both the solutions X(t) and the functional solutions X_t: We show that two solutions (resp., functional solutions) from different initial data living in the same initial switching regime will be close with high probability as time variable tends to infinity, and that the solutions (resp., functional solutions) are uniformly bounded in the mean square sense. Moreover, we prove existence and uniqueness of the invariant probability measure of two-component Markov-Feller process (X_t,Λ(t)); and establish exponential bounds on the rate of convergence to the invariant probability measure under Wasserstein distance. Finally, we provide a concrete example to illustrate our main results.     

Surface-enhanced Raman scattering effect of gold nanoparticle arrays: The influence of annealing temperature,excitation power and array thickness

Gold nanoparticle arrays are fabricated for surface-enhanced Raman scattering (SERS) and the effect of the annealing temperature, the thickness of nanoparticle array and the exciting power on the SERS signals are investigated. The particle distribution and particle size are dense and uniform on the glass substrate when the 10 nm gold film was annealed at 250 °C and strong SERS signals for Rhodamine 6G were achieved via a 532 nm excitation with a 10 mW power. The SERS signal at 1650 cm⁻¹ is enhanced more than 10 times as compared to that of the gold film without annealing. The strong SERS behavior of gold nanoparticle arrays may broaden the SERS applications in biomedical and analytical chemistry.     

Synthesis,spectral and thermal characterization of Bis(diethylammonium) tetrachloromercurate(II)-An nonlinear optical material

A new semiorganic compound, bis(diethylammonium) tetrachloromercurate(II) was grown by slow evaporation solution growth technique at ambient temperature from its aqueous solution. The crystal system and the cell parameters have been identified from the powder X-ray diffraction pattern. The UV–visible absorption of the compound shows absorption at 246 nm and there is absorption observed in the entire visible region indicates that the compound can be used as a nonlinear optical material. The UV–visible transmittance spectrum of grown crystal shows a lower cut-off wavelength at 275 nm and it was found that the crystal is suitable for optoelectronic applications. Thermal studies were carried out to find out the thermal stability and confirm the stoichiometric ratio of the compound. The thermal anomalies in DSC study indicate the occurrence of first order transition in the compound at low temperatures. The FTIR spectrum of the compound characterizes various functional groups. The various kinds of protons and carbons were assigned through NMR (¹H and ¹³C) spectroscopic techniques. The SHG efficiency of the compound was studied by Kurtz-Perry power technique and observed that it has SHG efficiency 1.5 times greater than that of potassium dihydrogen phosphate (KDP). The dielectric constant and dielectric loss of the compound decreases with increase in frequency.     

Shape Matters: A Gold Nanoparticle Enabled Shape Memory Polymer Triggered by Laser Irradiation

With incorporation of gold nanoparticles, i.e., nanorods (AuNR) and nanospheres (AuNS), into a polyurethane‐based shape‐memory polymer (SMP) EG‐72D matrix, SMP nanocomposite films capable of being remotely triggered by low‐power laser are fabricated and characterized using UV‐vis‐NIR spectroscopy, X‐ray scattering, and dynamic mechanical analysis (DMA). It is demonstrated that, with incorporation of very low concentration of gold nanorods (≈0.1 wt%), the mechanically programmed EG‐72D/AuNR nanocomposite presents rapid response to low power laser irradiation (785 nm, ≈10 mW). Comparative studies on the laser irradiation response of EG‐72D/AuNS and EG‐72D/AuNR nanocomposite films suggest that AuNRs have significantly higher photothermal conversion efficiency than AuNS and on‐resonance laser irradiation, matching the wavelength of the incident laser with the longitudinal plasmon resonance of AuNR, is necessary to induce the fast response of gold nanoparticle enabled SMP nanocomposites.     

空富勒烯C36和嵌入Mg原子的C36分子的电子学特性研究

采用基于密度泛涵理论的第一性原理和非平衡格林函数方法研究了富勒烯C36分子和以金原子面为电极的Au-S-C36-S-Au电子传输系统的电子结构和传输特性.然后将镁原子嵌入C36笼腔内得到了一个新的分子器件Mg@C36,接金电极后建立了它的电子传输系统Au-S-Mg@C36-S-Au,并且得出了这一系统的电子能级、分子轨道分布、传输概率、态密度、伏安特性和电导曲线.结果显示C36和Mg@C36的电子传导主要集中在分子壳上,且系统Au-S-C36-S-Au中的电子传输主要分布在分子壳的外侧,而系统Au-S-Mg@C36-S-Au中的电子传输在分子壳外侧和内侧的近似相同,二个系统都有着非线性的Ⅰ-Ⅴ特性和电导曲线.     

Co@Aun(n=1-8)团簇的几何结构和电子性质的理论研究

本文利用密度泛函PW91方法研究了Co@Aun(n=1-8)团簇的平衡结构、稳定性和磁矩。结构优化显示Co原子在低能异构体中趋于占据最高配位位置,基态Co@Aun(n=2-6)团簇为二维结构,Co@Au7和Co@Au8转变为三维结构。原子平均结合能、二阶能量差分及HOMO-LUMO能级间隙分析表明掺杂Co原子提高了金团簇的稳定性,改变了金团簇能级间隙的奇偶振荡性,n=5为掺杂团簇的幻数。磁矩的计算揭示Co@Aun团簇的磁性主要源于Co原子的3d轨道。     

铬和镍的添加对Fe3Al合金力学性能影响的DFT研究

利用第一原理研究了过渡金属元素 Cr 或 Ni 在 Fe₃Al合金中的优先占位行为及其合金化效应. 计算结果表明: Cr 或 Ni 的取代有助于Fe₃Al 合金体系更稳定, Cr 优先占据 Fe_I 位, Ni 优先占据 Fe_II位. Fe₂NiAl-II 具有最小的剪切模量G, 杨氏模量E和G/B值, 因此Fe₂NiAl-II合金的韧性、延展性最佳. 态密度和电荷密度图表明, 过渡金属元素的取代提高了它们与近邻基体原子之间的相互作用, 削弱了Al和Fe的相互作用.     

磁控溅射(Ti,N)/Al纳米复合薄膜的微结构和力学性能

采用Al和TiN靶通过磁控共溅射方法, 制备了一系列Ti:N≈1的不同(Ti, N) 含量的铝基纳米复合薄膜, 利用X射线能量分散谱仪、X射线衍射仪、透射电子显微镜和纳米力学探针表征了薄膜的成分、 微结构和力学性能, 研究了(Ti, N)含量对复合薄膜微结构和力学性能的影响. 结果表明: Ti, N原子的共同加入使复合薄膜形成了同时具有置换固溶和间隙固溶特征的"双超过饱和固溶体", 薄膜的晶粒随着溶质含量的增加逐步纳米化, 并进一步形成非晶结构, 晶界区域形成溶质原子的富集区. 相应地, 复合薄膜的硬度在含1.8 at.%(Ti, N) 时就可迅速提高到3.9 GPa; 随着TiN含量的增加, 薄膜的硬度进一步提高到含17.1 at.%(Ti, N)时的8.8 GPa. 以上结果显示出Ti和N"双超过饱和固溶"对Al薄膜极其显著的强化效果.