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The completely diagonalized Hamiltonian matrixes of order 120 of 3d3/3d7 ions configuration in the trigonal symmetry have been established by irreducible representation method and group theory,taking into account spin-orbit interaction and spin-spin interaction.The ground-state energy levels,the zero-splitting parameter and Jahn-Teller effect of ruby crystal were calculated with the matrixes.

应用不可约张量方法和群的理论构造了三角对称晶场中考虑自旋-轨道相互作用,自旋-自旋相互作用的3d3/3d7离子的可完全对角化的120阶微扰哈密顿矩阵,利用该矩阵计算了红宝石晶体的基态能级、零场分裂参量和Jahn-Teller效应,研究了自旋-轨道的自旋二重态对基态能级的贡献,证明其二重态对基态能级的贡献是不可忽略的,理论计算值与实验值相符合。

They are the sources of familiar names such as "orbital angular momentum","spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism.

他们是熟悉的名字的来源,例如"轨道的角动量","纺轨道连合"和相对论性的量形式主义的操作者的"磁矩"。

Then through optimum thrust force acceleration governing equation obtained by Pontryagin maximum principle and the reasonable simplification, the optimum low thrust under the orbit elements is obtained. Finally, the optimum transfer orbit analytic solution is obtained by integrating the equations.

应用Pontryagin极大值原理建立航天器最优推力加速度的控制方程,对方程进行合理的简化,只考虑它们的一次项,忽略其它的高次项,从状态方程中得出小推力对轨道根数产生的摄动影响,然后分别对它们进行积分,从而得到最优转移轨道的解析解。

In Chapter 4,the site-symmetry projector is constructed to produce thecomplete symmetry-adapted orbitals.Based on this,we deduce the energy equationcontaining all the interactions of〓orbitals,the H〓ckel model secular equation,andthe energy expression containing the second neighbor hopping.Also we discuss theeffect of the second neighbor hopping on the electronic structures and properties offullerenes.

第四章阐述与位置对称性有关的投影算子的构造及其在处理富勒烯的π电子结构中的应用,导出了π轨道的所有相互作用都包括在内的能量本征方程,一极近似下的久期方程,和二级近似(考虑π轨道的次邻接相互作用)下的能量表达式,并且一般性地讨论了次邻接相互作用在富勒烯的电子结构和性质中的作用。

In combination with tunnel pass through Nanjing railway station,the monitor techniques of metro tunnel pass through the working railway are studied and elements concerning safety are analyzed.The practical monitoring procedure is adopted to guide the construction,ensure the conductio...

该文结合过站区隧道下穿既有轨道的具体工程实践,探讨了地下隧道穿越既有轨道的施工监测技术,分析了影响施工安全的各种因素,提出了切实可行的监测方案,用于指导工程实践,保证了地下隧道施工及京沪铁路正常运行,获得满意的结果,为同类型工程提供有益的参考。

They found that the SNC meteorites possess chemical, isotopic , and petrologic features consistent with data available from Mars at the time, findings further confirmed by Treiman et al.

应用火星侦察轨道器的高解析度影像,研究人员认为早期火山活动的增加、撞击事件或火星轨道的变化让温暖时期火星的大气层足以溶化大量地表的冰。

Theoretical study on the change of HOMOs and LUMOs gaps illustrates that cubic-like structures are more favorable than others growth modes, namely the cubic zirconia nucleates favorable, this fact accords well with previous experimental results.

对各种生长模式的最高占据轨道能和最低空轨道的能量的差值与团簇的尺寸变化可以发现,氧化锆团簇最容易以类立方结构的生长模式生长,即立方相氧化锆团簇结构容易形核生长,这是符合先前的实验结果的。

Dynamic interaction of wheel-rail is studied by using DSAS software when Blue-Arrow power car, trail car,"SS8" locomotive and passenger car with "209" bogies pass through a curve with severe rail oblique crack in Guang-Shen railway, respectively. Results of the above cases are compared and analyzed. Based on these results, effect of track structure parameter and train speed on dynamic interaction of wheel and rail in curve track is discussed, and a set of synthetic and effective technology measure which eliminates or releases rail oblique crack is put forward, The results can be expected to provide theoretic basis and guidance for engineering practice.

运用DSAS软件,研究了&蓝剑&动车组动车、拖车、&SS8&机车和209转向架客车通过广深线某钢轨斜裂纹重伤曲线的轮轨动态相互作用,并对几种车型的计算结果进行了比较和分析;在此基础上,讨论与分析了轨道结构参数及行车速度对曲线轨道的轮轨动态相互作用的影响,从而提出了一套综合有效的抑制或减轻钢轨斜裂纹的技术措施,以期为工程实际提供理论依据和指导。

The reliable and accurate electronic map is the foundation to improve the train positioning accuracy. Firstly, in view of "the regularization" two-dimensional model of the railroad track, the curve partition modeling is used to model the rail track to construct the electronic map database in the thesis.

可靠、准确的电子地图是提高列车定位精度的基础,本文首先针对铁路轨道的&规则化&二维模型,采用曲线分段建模的方式对不同轨道区段的数据进行建模。

Avebury Manor of July 15, 2008 reminds us that the Mayan Long Count calendar will end on December 23, 2012: by showing precise orbital locations for all nine planets of our solar system on that date, plus an accurate elliptical orbit for Pluto

埃夫伯里庄园的2008年7月15日提醒我们,玛雅长的计数日历将於2012年12月23日结束:显示我们在那个日期的太阳系所有九个行星的精确轨道地点,加上准确的椭圆形轨道的冥王星

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