The role of π electrons in the formation of benzene-containing lithium-bonded complexes

The intermolecular interactions in C₆H₆???LiX (X=OH, NH₂, F, Cl, Br, NC, CN) complexes are investigated by using second‐order Møller–Plesset perturbation theory (MP2) calculations and quantum theory of “atoms in molecules” (QTAIM) studies, and the role of π electrons is studied in the formation of these benzene‐containing lithium‐bonded complexes. The molecular electrostatic potentials of benzene and LiX determine the geometries of the lithium‐bonded complexes. The electron densities at the lithium bond critical points in the πC₆H₆???LiX complexes are obviously stronger than those in the σC₆H₆???LiX complexes, which indicates that the intermolecular interactions in the C₆H₆???LiX complexes are mainly attributable to π‐type interaction. The topological and energy properties at the lithium bond critical points in both the C₆H₆???LiX and πC₆H₆???LiX complexes are linear with the interaction energies, thereby showing the crucial role of the π electrons in the formation of these complexes. Electron localization function (ELF) analysis indicates that the formation of the lithium bonds leads to the reduction of the ELF π‐electron density and volume, and the reduction of the π‐electron volume is linear with the interaction energies with the correction coefficient 0.9949.     

Phosphotungstic acid functionalized silica nanocomposites with tunable bicontinuous mesoporous structure and superior proton conductivity and stability for fuel cells

A novel proton exchange membrane using phosphotungstic acid (HPW) as proton carrier and cubic bicontinuous Ia3d mesoporous silica (meso-silica) as framework material is successfully developed as proton exchange membranes for fuel cells. Meso-silica is functionalized by 80wt% HPW using a vacuum impregnation method. The HPW-functionalized meso-silica (HPW-meso-silica) nanocomposites are characterized by transmission electron microscopy (TEM), small angle X-ray scattering (SAXS), N(2) adsorption/desorption isotherms, thermogravimetric analysis (TGA), water uptake and four-probe conductivity. The results show that the mesoporous structure of silica hosts can be altered by the hydrothermal temperature. Conductivity measurements indicate that meso-silica host with pore diameter of 5.0 nm has the highest proton conductivity of 0.11 S cm(-1) at 80 °C and 100% relative humidity (RH) with an activation energy of ～14 kJ mol(-1) and better stability as compared to that with large mesopores. The proton conductivity and performance of HPW-meso-silica nanocomposites also increase with the RH, but it is far less sensitive to RH changes as compared to conventional perfluorosulfonic acid (PFSA) polymers such as Nafion. The maximum power density of the cell with HPW-meso-silcia nanocomposite membranes is 221 mW cm(-2) at 80 °C and 100% RH and decreases to 171 mW cm(-2) when RH is reduced to 20%, a 20% decrease in power output. In the case of a cell with Nafion 115 membranes, the decrease in power density is 95% under identical test conditions. The results demonstrate that the HPW-meso-silica nanocomposite has an exceptionally high water retention capability and is a promising proton exchange membrane material for fuel cells operating at reduced humidity and elevated temperatures.     

Titanium-capped carbon chains as promising new hydrogen storage media

The capacity of Ti-capped sp carbon atomic chains for use as hydrogen storage media is studied using first-principles density functional theory. The Ti atom is strongly attached at one end of the carbon chains via d-p hybridization, forming stable TiC(n) complexes. We demonstrate that the number of adsorbed H(2) molecules on Ti through Kubas interactions depends upon the chain types. For polyyne (n even) or cumulene (n odd) structures, each Ti atom can hold up to five or six H(2) molecules, respectively. Furthermore, the TiC(5) chain effectively terminated on a C(20) fullerene can store hydrogen with an optimal binding energy of 0.52 eV per H(2) molecule. Our results reveal a possible way to explore high-capacity hydrogen storage materials in truly one-dimensional carbon structures.     

Wetting behavior of spherical nanoparticles at a vapor-liquid interface: a density functional theory study

The wetting behavior of spherical nanoparticles at a vapor-liquid interface is investigated by using density functional theory, and the line tension calculation method is modified by analyzing the total energy of the vapor-liquid-particle equilibrium. Compared with the direct measurement data from simulation, the results reveal that the thermodynamically consistent Young's equation for planar interfaces is still applicable for high curvature surfaces in predicting a wide range of contact angles. The effect of the line tension on the contact angle is further explored, showing that the contact angles given by the original and modified Young's equations are nearly the same within the region of 60° < θ < 120°. Whereas the effect is considerable when the contact angle deviates from the region. The wetting property of nanoparticles in terms of the fluid-particle interaction strength, particle size, and temperature is also discussed. It is found that, for a certain particle, a moderate fluid-particle interaction strength would keep the particle stable at the interface in a wide temperature range.     

Σ_e~n(n≥2)型Banach空间上的摄动类问题

深化对本性谱的认识;给出∑_e~n(n≥2)型Banach空间上的摄动类问题的反面回答.     

一类非经典反应扩散方程全局吸引子的正则性

考虑了一类非经典反应扩散方程全局吸引子的正则性。利用渐近先验估计证明了系统在H01(Ω)中的全局吸引子A1在D(A)中有界,并进一步获得A1即为系统在D(A)中的全局吸引子A2。     

A cascadic multigrid method for a kind of semilinear elliptic problem

In this paper, we analyze a cascadic multigrid method for semilinear elliptic problems in which the derivative of the semilinear term is Hölder continuous. We first investigate the standard finite element error estimates of this kind of problem. We then solve the corresponding discrete problems using the cascadic multigrid method. We prove that the algorithm has an optimal order of convergence in energy norm and quasi-optimal computational complexity. We also report some numerical results to support the theory.     

OPGW应用领域技术发展趋势

文章介绍了近年来的部分新技术在 OPGW(光纤复合架空地线)中的应用,包括光纤传感技术在 OPGW的温度、应力在线监测方面的应用,OPGW融冰新技术,200μm外径新型光纤在 OPGW中的应用,大余长光纤 OPGW在 OPGW中的应用。并对 OPGW光缆应用领域技术的发展趋势进行了预测。