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31.
The complex Cu2(μ-dppb)2(μ-Cl)2 has been synthesized from the reaction of CuCl, dppb and (n-Bu)4NCl. The crystal belongs to the triclinic with space group P1. The unit cell parameters are: a=9.939(4)?, b=10.083(6)?, c=14.104(5)?, α=76.46(3)°, β=71.02(2)°, γ=70.87(5)°. The single crystal X-ray diffraction analysis reveals that it has a bi-ring structure with a symmetry center at the middle of two Copper atoms. The outer ring is a 14-membered ring of Cu-dppb-Cu-dppb, and the inner ring is a 4-membered ring composed of two Cl- and two Cu(Ⅰ). Investigation of third-order optical nonlinearity shows that it exhibits considerable nonlinear absorptive and self-defocusing effect with α2=1.75×10-13m·W-1 and n2=3.19×10-18m2·W-1. CCDC: 193113. 相似文献
32.
This paper deals with the asymptotic behavior of solutions to a class of non-autonomous Lamé systems modeling the physical phenomenon of isotropic elasticity. The main feature of this model is that the nonlinearity can be decomposed into a subcritical part and a critical one. We first show that the system generates a non-autonomous dynamical system, and then prove that the system has a minimal universe pullback attractor. The upper-semicontinuity of these pullback attractors is also established as the perturbation parameter of the external force tends to zero. The quasi-stability ideas developed by Chueshov and Lasiecka (2010, 2008, 2015) are used to prove the pullback asymptotic compactness of the solutions in order to overcome the difficulty caused by the critical growthness of the nonlinearity. 相似文献
33.
D. Shadman 《Archive of Applied Mechanics (Ingenieur Archiv)》1996,66(7):427-433
Summary A mathematical model for a hydraulic servomechanism is constructed. It is shown that the model, in general, reduces to a nonlinear third-order equation of the formxx+(1+xx+–2
x=p(t). Under certain conditions imposed on the constants involved, it is proved that above equation possesses a periodic solution. 相似文献
34.
Shaobin Miao Zhan Yu Qian-Feng Zhang Yinglin Song Alexander Rothenberger Wa-Hung Leung 《Journal of Cluster Science》2006,17(3):495-507
Two isostructural crown-like heteroselenometallic cluster compounds, [Et4N]4[(μ5-WSe4)(CuX)5(μ-X)2] (X = Cl 1, Br 2), were prepared from the reactions of [Et4N]2[WSe4] with CuX and [Et4N]X· xH2O in the presence of 2-picoline and characterized by single-crystal diffraction analysis. The [(μ5-WSe4)(Cu-X)5(μ-X)2]4− anions in the cluster compounds consists of five CuX fragments coordinated to the five edges of the tetrahedral [WSe4]2− moiety along with two bridging halides connected to each of the two pairs of the symmetric copper atoms, exhibiting a novel
crown-like core structure. The nonlinear optical absorption and refraction of cluster compound 2 were determined to be α2 = 6.15 × 10−10 m/W and n
2 = 4.18 × 10−11 esu, respectively. 相似文献
35.
提出了一种动力学李代数方法来研究取代苯体系的非线性光学性质. 对于给定的PPP模型(Pariser-Parr-Pople)哈密顿量, 生成了一个动力学李代数. 依据这些代数元构造出演化算子作为群参数的函数, 通过求解一组非线性微分方程能够得到这些群参数. 再按照统计力学中的密度算子公式给出取代苯分子体系偶极矩的统计平均值. 于是导出二阶极化率的表达式. 与其他量子力学计算结果比较, 表明这种动力学李代数方法在预言有机共轭分子的非线性光学性质上同样有用. 相似文献
36.
A density functional theory investigation on a series of sandwich-type transition metal complexes [(CBO)n]2M (n=4–6; M=transition metals) with carbon boronyls (CBO)n as effective aromatic ligands has been presented in this work at B3LYP level. The ground-states of these complexes possess staggered Dnd symmetries, while the corresponding eclipsed Dnh structures exist as transition states with slightly higher energies (within 5.8 kJ/mol). Carbon boronyl complexes [(CBO)n]2M are confirmed to be much more stable than their boron carbonyl isomers [(BCO)n]2M, which, on the other hand, take eclipsed ground-states with Dnh symmetries. The carbon boronyl complexes [(BCO)n]2M proposed in this work parallelize the well-known sandwich-type hydrocarbon complexes [CnHn]2M in coordination chemistry with boronyl groups –BO isolobal to –H atoms in corresponding ligands. 相似文献
37.
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39.
S.H. Ghasemi M.R. HantehzadehJ. Sabbaghzadeh D. DorranianV. Vatani A. BabazadehK. Hejaz A. HemmatiM. Lafouti 《Optics and Lasers in Engineering》2012,50(2):293-296
A plano-convex aspheric lens is designed to collimate the emitted light of the fiber optics. In this paper even orders of general aspheres are used to describe the aspheric surfaces sag. To determine the aspheric coefficient, the even asphere polynomial are fitted on the computed sag data. The surface sag data is determined using genetic algorithm method. The surface sag was analyzed by the commercial optical software package ZEMAX. For typical fiber optics, the numerical aperture (NA) of 0.22 was assumed. With this specification, the expected output spot diagram of 20 mm and the maximum aperture of 25.4 mm have been obtained. A comparison between here presented lens and the similar type of conventional lens has been carried out; the proposed aspheric lens corrected the spherical aberration, which led to increase in the collimated distance. 相似文献