一道习题的深入探究

高中数学新人教(A版)选修2-1习题2.2(B)组第4题:如图,矩形ABCD中,|AB|=8,|BC|=6.E,F,G,H分别是矩形四条边的中     

Towards understanding the carbon trapping mechanism in copper by investigating the carbon-vacancy interaction

We propose a vacancy trapping mechanism for carbon-vacancy (C-V) complex formation in copper (Cu) according to the first-principles calculations of the energetics and kinetics of C-V interaction. Vacancy reduces charge density in its vicinity to induce C nucleation. A monovacancy is capable of trapping as many as four C atoms to form CnV (n=1,2,3,4) complexes. A single C atom prefers to interact with neighboring Cu at a vacancy with a trapping energy of 0.21 eV. With multiple C atoms added, they are preferred to bind with each other to form covalent-like bonds despite of the metallic Cu environment. For the CnV complexes, C2V is the major one due to its lowest average trapping energy (1.31 eV). Kinetically, the formation of the CnV complexes can be ascribed to the vacancy mechanism due to the lower activation energy barrier and the larger diffusion coefficient of vacancy than those of the interstitial C.     

周期性点阵桁架材料力学性能分析的一种新的多尺度计算方法

论文提出一种周期性点阵桁架材料力学性能分析的新的多尺度方法.方法的主要思想是通过数值构造能反映周期性桁架材料单胞内部非均质性的多尺度基函数,从而在大尺度上求得单胞的等效刚度阵,大大减小了模型计算量.通过引入基函数的耦合附加项,以考虑多维矢量场问题不同方向问的耦合作用.数值研究表明,采用线性边界条件构造基函数有时会产生较...     

用面积法解题

用面积法解题就是根据题目给出的条件,利用等积变换原理有和关面积计算的公式、定理或图形的面积关系进行解题.所谓高效解题就是转化的环节少一些,不走弯路.有时我们选用面积法将问题转化,就能恰到好处地达到这一目的.     

Frequency related localisation of harmonic elastic waves in stratified welds

The paper presents a computational model for elastic waves in a structured weld adjacent to the free surface of an elastic solid. The main emphasis is on the interaction of waves with the micro-structure of the weld. Effects of localisation and channeling of waves are addressed. A model of a grain structure within the weld is also considered.     

Nuclear data for the cyclotron production of ~（117）Sb and ~（90）Nb

This presented study is to make comparison of cross sections to produce ¹¹⁷Sb and ⁹⁰Nb via different reactions with particle incident energy up to 70 MeV as a part of systematic studies on particle-induced activations on enriched Sn, Y₂O₃ and ZrO₂ targets, theoretical calculation of production yield, calculation of required thickness of target and suggestion of optimum reaction to produce Antimony-117 and Niobium-90.     

How Many Methanol Molecules Can Solvate a Glycine: a PBE1PBE Approach

Microsolvation of glycine in methanol clusters is explored by the use of DFT calculation method. The lowest energy conformations within 16.72 kJ·mol-1 of the glycine clustering with one to six methanol molecules, which are obtained at the B3LYP/6-31+G(d) level of theory, are reoptimized at PBE1PBE/6-311+G(d,p). The calculated results agree with our previous results with B3LYP (Chin. J. Chem. Phys. 22 (2009) 577) that the clusters of two forms (Z-and N-form) tend to be isoenergetic when the number of the solvate molecules reaches six. Furthermore, this result is in good agreement with the experiment of the tryptophan-methanol clusters, implying that the present treatments are reasonable and reliable. The results also indicate that nine methanol molecules are not enough to fully solvate a glycine molecule, and a tentative estimation is obtained that ten methanol molecules may fully solvate a glycine molecule, which consists with the experiment results.