Superenergy of Gravitational Waves in the Exact Theory

Gravitational waves and radiation in the exact theory are studied in a unique framework. The observer's point of view is introduced. Some results by Lichnerowicz are generalized and interpreted in terms of reference frames. This allows us to recognize the role played by the gravitational force field in the exact generalization of Bel's superenergy flux theorem. It is also possible to recover the usual concept of wave as energy transmission, by means of a suitable superenergy scalar.     

NANOMECHANICAL MAPPING OF CARBON BLACK REINFORCED NATURAL RUBBER BY ATOMIC FORCE MICROSCOPY

Atomic force microscopy （AFM） has the advantage of obtaining mechanical properties as well as topographic information at the same time. By analyzing force-distance curves measured over two-dimensional area using Hertzian contact mechanics, Young＇s modulus mapping was obtained with nanometer-scale resolution. Furthermore, the sample deformation by the force exerted was also estimated from the force-distance curve analyses. We could thus reconstruct a real topographic image by incorporating apparent topographic image with deformation image. We applied this method to carbon black reinforced natural rubber to obtain Young＇s modulus distribution image together with reconstructed real topographic image. Then we were able to recognize three regions; rubber matrix, carbon black （or bound rubber） and intermediate regions. Though the existence of these regions had been investigated by pulsed nuclear magnetic resonance, this paper would be the first to report on the quantitative evaluation of the interfacial region in real space.     

Gyroscopic Precession and Inertial Forces in Axially Symmetric Stationary Spacetimes

We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial symmetry. Specializing to static spacetimes, we prove that gyroscopic precession and centrifugal force both reverse at the photon orbits. Simultaneous non-reversal of these in the case of stationary spacetimes is discussed. Further insight is gained in the case of static spacetime by considering the phenomena in a spacetime conformal to the original one. Gravi-electric and gravi-magnetic fields are studied and their relation to inertial forces is established.     

Upwind-biased FORCE schemes with applications to free-surface shallow flows

In this paper we develop numerical fluxes of the centred type for one-step schemes in conservative form for solving general systems of conservation laws in multiple-space dimensions on structured meshes. The proposed method is an extension of the multidimensional FORCE flux developed by Toro et al. (2009) [14]. Here we introduce upwind bias by modifying the shape of the staggered mesh of the original FORCE method. The upwind bias is evaluated using an estimate of the largest eigenvalue, which in any case is needed for selecting a time step. The resulting basic flux is first-order accurate and monotone. For the linear advection equation, the proposed UFORCE method reproduces exactly the upwind Godunov method. Extension to non-linear systems has been done empirically via the two-dimensional inviscid shallow water equations. Second order of accuracy in space and time on structured meshes is obtained in the framework of finite volume methods. The proposed method improves the accuracy of the solution for small Courant numbers and intermediate waves associated with linearly degenerate fields (contact discontinuities, shear waves and material interfaces). It achieves comparable accuracy to that of upwind methods with approximate Riemann solvers, though retaining the simplicity and efficiency of centred methods. The performance of the schemes is assessed on a suite of test problems for the two-dimensional shallow water equations.     

有机化学基本理论问题新的研究方法、新的观念和新 的思维模式

有机化学基本理论研究的总结和回顾。15年来,在国家自然科学基金委员会的支持下,为了认识电子离域的本质,在量子化学领域,我们建立和发展了新的作用能分解方法和大型计算程序,发展和完善了轨道定域化程序。我们的方法可以为任何一个共轭分子(无论是平面的还是非平面的,是含共轭双键的还是含累积双键的),提供一个π与σ体系彻底分离的片断分子轨道基组。这个轨道基组不仅满足分子特殊的对称性,而且还具有确切的电子占据数。与Hückel理论完全不同,我们强调：π电子的离域除了对它原先的定域π体系有强烈的失稳定作用外,它还可通过π-σ空间作用,对σ构架产生强烈的稳定作用。据此,我们提出了芳环化合物新的分类准则,揭示了芳香环流起因的必要条件,定义环的刚度为芳香性一个新判据。发现,分子内基团间的局部作用(CT和EX)同它们对分子整体性能的影响是完全相反的。就构象而言,稳定的CT作用是相斥的,失稳定的EX作用是相吸的;就电子转移而言,大的EX作用是电荷转移的助动力。其助动性在于,它能降低因CT作用而产生的给体自身对电荷转移的阻力。论证了,在二苯乙烯类分子中,π-π共轭,π-σ超共轭和σ-σ非键轨道作用都是失稳定的。与σ-σ和π-σ作用相比,π-π作用对于分子构像的影响是非常微弱的。与经典的思维模式相反,有机分子总是倾向于较小的失稳定,而不是较大的稳定。为了维持尽可能最稳定的电子总能量,在σ-σ作用的驱动下,共轭基团应该尽量地偏离共平面。阻止分子扭曲的(非电子作用力)是核排斥力。因此,一个空间拥挤的构象可以是能量有利的构象。在我们的研究中,经典有机结构理论的整体因果关系已经全面地被颠倒。     

OBSERVATION OF DNA PARTIAL DENATURATION BY ATOMIC FORCE MICROSCOPY

Atomic force microscopy was used to investigate the DNA-cetyltrimethylammonium bromide (CTAB) complexes adsorbed on highly ordered pyrolytic graphite (HOPG). These complexes, at low concentrations, can automatically spread out on the surface of HOPG. The DNA-CTAB complexes display a typically extended structure rather than a globular structure. Partially denaturated DNA produced by binding CTAB to DNA is directly observed by AFM with high resolution. The three-dimensional resolution of partially denaturated DNA obtained by AFM is not available by any other technique at present.     

Interaction between two solid surfaces across PDMS: influence of chain length and end group

Forces between solid surfaces across polymer melts are poorly understood despite their importance for adhesion and composite materials. Using an atomic force microscope (AFM) this force was measured for poly(dimethyl siloxane) (PDMS) on silicon oxide. The influence of molecular weight (4.0–40 kDa) was studied. Forces are attractive for low and repulsive for high molecular weight. In addition, changing the terminal methyl group for a hydroxyl group leads to an increased probability of bridging.     

Topographical observation of silane-treated inorganic surface using atomic force microscopy

The topography of the silane-treated layer on an inorganic surface was observed using an atomic force microscope. For this purpose, the cleaved mica plate was treated with some silane coupling agent at varying conditions. The silanes having aminopropyl or methacryloxypropyl group as organofunctional groups with di- or trialkoxyl structures were used. Three different solvents for silane solution — 2-propanol, 2-propanol/water mixture and water — were used. The pH of the aqueous solution was controlled. As a result, the most suitable solvent and pH in order to obtain smooth silane layer was clarified. The solubility of silane molecules in the solution, the wettability of silane molecule onto inorganic surface, and prevention of the mutual condensation of silane molecules in the solution were found to be important parameters for this purpose.     

用诱导自洽方法计算振动力常数的研究

本文提出一种迭代方法计算振动力常数,可以比较清楚地显示基频与振动力常数之间的关系,从而能方便地选择合适的力常数限制条件,得到合理的结果.用本方法对一系列不同分子作了计算,结果比较满意,对计算中一些具体问题作了讨论.     

Probing the properties of particle-matrix interphase in reactive rubber-grafted polybenzoxazine resins by atomic force microscopy

Atomic force microscopy (AFM) is employed to study the amine-terminated poly (butadiene-co-acrylonitrile) (ATBN) rubber-modified polybenzoxazine resin. Topographic mapping of the fracture surface is performed in conjunction with lateral force microscopy (LFM) and force–distance curve measurements (F–d). Matrix T _g reduction is attributed to the dissolved rubber and the increased mechanical damping (tan δ) is derived from the phase-separated rubber. Saturation of the rubber in the matrix is defined at 6 wt% above which the matrix T _g is not influenced upon rubber loading. The solubility limit of the reactive rubber in the matrix phase is determined from the fractured surface using LFM. The torsional force analyzed in the matrix phase increases upon the addition of rubber and levels off at 6 wt%. The results provide a direct correlation between bulk properties acquired by DMA and fractured surface probed by AFM. The presence of interphase between the separated rubbery domain and the continuous matrix phase is confirmed and its thickness is quantified from F–d curves. Moreover, it is found that interphase properties exhibit a strong rubber-concentration dependence.