Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains

We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains.     

Interpolation in the unit ball ofC n

A necessary and sufficient condition is given for a discrete multiplicity variety in the unit ballB _n ofC ⁿ to be an interpolating variety for weighted spaces of holomorphic functions inB _n . Partially supported by NSF Grant DMS-9706376.     

Studies on the Valence Band of Ethylene (C2 H4) on Fu ( ) Surface

The ethylene(C2H4)absorbs in molecular state on Ru (1010) surface stably below 200K. The dehydrogenated of ethylene occurs at 200K. The main product of the dehydrogenation of the absorbed ethylene is the acetylene (C2H2). After the dehydrogenation of the absorbed ethylene, the binding energies ofσCCandσCHbond have an increase of 0.5 and 1.1eV respectively. The C-C bonds of both ethylene and acetylene tilt in <0001> azimuth.     

Cr~(4+)在MgCaBa-铝酸盐玻璃中的发射及光学增益

研究了四价铬离子掺杂的MgCaBa 铝酸盐玻璃在近红外区的发射光谱 ,既有源于1E—3 A2 跃迁 ,位于1 1 8μm处的窄带 ,又有源于3 T2 —3 A2 范围在 1 1～ 1 4 μm内的宽带 ,利用ASE(AmplifiedSpontaneousEmis sion)方法研究了其增益特性 ,测量了在 63 2 8nm激发下不同激发长度下的发射光谱 ,得到其光学增益系数在1 1 8μm和 1 2 4 μm处分别为BE=( 0 7± 0 0 4 )mm-1和BT=( 0 0 5± 0 0 0 5)mm-1,并根据这种材料的光谱性质 ,对其作为近红外可调谐激光介质的可能作出评估。     

Characterization of Fibers in an Existing Network for High Speed System (10Gb/s or Greater) Compatibility

With OC-192 communications systems being commercially available and higher bit rate systems in development, prudent telecommunications network administrators are testing their installed fibers to determine if they can be successfully used at 10 Gb/s and higher. Together with New Brunswick Telephone (NBTel), the Fiber Optics Group at UNB have tested various installed fibers and cables in the NBTel network for their losses at wavelengths of 1244, 1310, 1550, and 1625 nm, as well as for strain and polarization mode dispersion (PMD). Weather conditions, age, place of installation, and cable types have also been considered. Aging does not seem to affect the performance of the fibers. Although most fibers are high-speed system compatible when looking at attenuation measurements, about 40% of the fibers tested would not meet the 10 Gb/s OC-192 system manufacturer's design guidelines concerning PMD.     

Electronic structure of strongly correlated systems: recent developments in multiconfiguration pair-density functional theory and multiconfiguration nonclassical-energy functional theory

Strong electron correlation plays an important role in transition-metal and heavy-metal chemistry, magnetic molecules, bond breaking, biradicals, excited states, and many functional materials, but it provides a significant challenge for modern electronic structure theory. The treatment of strongly correlated systems usually requires a multireference method to adequately describe spin densities and near-degeneracy correlation. However, quantitative computation of dynamic correlation with multireference wave functions is often difficult or impractical. Multiconfiguration pair-density functional theory (MC-PDFT) provides a way to blend multiconfiguration wave function theory and density functional theory to quantitatively treat both near-degeneracy correlation and dynamic correlation in strongly correlated systems; it is more affordable than multireference perturbation theory, multireference configuration interaction, or multireference coupled cluster theory and more accurate for many properties than Kohn–Sham density functional theory. This perspective article provides a brief introduction to strongly correlated systems and previously reviewed progress on MC-PDFT followed by a discussion of several recent developments and applications of MC-PDFT and related methods, including localized-active-space MC-PDFT, generalized active-space MC-PDFT, density-matrix-renormalization-group MC-PDFT, hybrid MC-PDFT, multistate MC-PDFT, spin–orbit coupling, analytic gradients, and dipole moments. We also review the more recently introduced multiconfiguration nonclassical-energy functional theory (MC-NEFT), which is like MC-PDFT but allows for other ingredients in the nonclassical-energy functional. We discuss two new kinds of MC-NEFT methods, namely multiconfiguration density coherence functional theory and machine-learned functionals.

This feature article overviews recent work on active spaces, matrix product reference states, treatment of quasidegeneracy, hybrid theory, density-coherence functionals, machine-learned functionals, spin–orbit coupling, gradients, and dipole moments.     

Continuous nitrogen-doped carbon nanotube matrix for boosting oxygen electrocatalysis in rechargeable Zn-air batteries

Developing robust oxygen electrocatalyst with high-performance is very significant for practical rechargeable Zn-air battery.We report herein the preparation of three-dimensional continuous nanocarbon network composed of interconnected nitrogen-doped carbon nanotubes and its application as oxygen electrocatalysis in rechargeable Zn-air battery.Except the excellent electrochemical bifunctionality,this carbon nanotube matrix also delivers an impressive battery performance.Specifically,an opencircuit voltage of 1.50 V as well as a high power density of 220 m W cm^-2 with remarkable cycling stability for 1600 h is achieved in the rechargeable Zn-air battery.The study not only provides an efficient bifunctional oxygen electrocatalyst but more importantly may pave significant concepts in designing robust electrode for long-life rechargeable Zn-air battery and other energy technologies.     

利用光栅最小偏向角法测光波波长

本文导出斜入射时,光栅谱线存在最小偏向角的条件及最小偏向角与波长间的关系,据此精确测定了光波波长,并在实验中通过与垂直入射法的比较显出其优越性。     

芳香族化合物的脱芳构化反应

芳香族化合物稳定、易得,通过芳香族化合物的脱芳构化反应,制备官能化的脂肪六元碳环化合物,早以引起人们的广泛兴趣。本文对六类脱芳构化反应进行了逐一评述,其包括：氧化脱芳构化反应;还原脱芳构化反应;光催化脱芳构化反应;亲核加成脱芳构化反应;σ-键迁移重排脱芳构化反应;过渡金属参与的脱芳构化反应。其中,过渡金属参与的脱芳构化反应,反应条件温和,反应底物广泛,可应用于生物活性物质的合成。     

多肽聚合物合成新方法及生物医学应用

多肽聚合物是以多肽为主链的合成聚合物,由于其固有的生物相容性和生物降解性,在生物医学领域展现出广阔的应用前景,然而多肽聚合物的高效、快速、简便合成仍然具有很大挑战。近年来随着合成化学的快速发展,基于α-氨基酸的N-羧基环内酸酐(NCA)开环聚合法制备多肽聚合物取得了突破性进展,合成了大量基于多肽聚合物的新型材料。本文首先介绍了NCA单体的合成机理及最新改进,然后重点介绍了近年来新发展的NCA开环聚合快速、高效制备多肽聚合物的不同引发或催化体系,最后简要介绍了多肽聚合物在抗菌剂、药物递送及组织工程等领域的应用,并提出了多肽聚合物材料在生物医学领域应用所面临的挑战。