通过那些概率密度图，我们可以知道轨道的形状，我们知道它们是球形对称的。
Doing those probability density dot graphs, we can get an idea of the shape of those orbitals, and we know that they're spherically symmetrical.
在分子轨道理论中，我们基于轨道的对称性给它们命名。
In molecular orbital theory, we named orbits based on their symmetry.
概率密度点图上,我们可以对这些轨道的形状，有个大概了解,我们知道它们是球，对称的,我们今天不讲。
So, doing those probability density dot graphs, we can get an idea of the shape of those orbitals, we know that they're spherically symmetrical.
实际上它告诉我们，这些s轨道，是球对称的。
Well, essentially what that tells is that these s orbitals are spherically symmetrical.
此外，它关于键轴是圆柱对称的，这就是为什么我们知道它是sigma轨道。
Also, it is cylindrically symmetric around the bonding axis, so this is how we know that it's a sigma orbital.
把波函数画成一个圆是有道理的，因为我们知道1s轨道是球对称的。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
右图中的球是围绕碳原子的电子云的图像。 它们分别是径向对称的球和中间有节点的双扁球形状，就像s和p原子轨道给出的电子密度图。
There’s a radially symmetric blob, and a double-lobed blob with a node in the middle – just like the patterns of electron density that the s and p atomic orbitals give rise to.
这个s轨道的，径向概率分布公式，它对于球对称，的情形成立。
This is the radial probability distribution formula for an s orbital, which is, of course, dealing with something that's spherically symmetrical.
两个星云均圆形、对称，而且大小相仿，直径约2光年或约为海王星轨道的2000倍。
Both nebulae are remarkably symmetric, round, and similar in size, some 2 light-years across or about 2, 000 times the diameter of Neptune's orbit.
在分子轨道理论中，我们基于轨道的对称性给它们命名。
So in molecular orbital theory, what we did was we named orbitals based on their symmetry.
描述一个键的办法,是描述形成键的轨道，以及键的对称性。
So the way that you describe a bond is you describe the orbitals that the bond comes from, and also the symmetry of the bond.
在左边的图是对称的S轨道，对称的。
如果我将他们杂化，然后形成4个对称的轨道，这就是sp3轨道。
If I now hybridize these, if I take these and I make four symmetric, now, these are just the sp3 orbitals.
告诉我们关于，And，the，sigma，tells，us，something，about，the,分子轨道对称性的信息，特别是它关于键轴是圆柱对称的。
Sigma symmetry of this molecular orbital, specifically that it's cylindrically symmetric about the bond axis.
文中证明了如果广义对称系统在一点的邻域可控，那么系统在包含该点群作用轨道的一个开集上是可控的。
It is shown that if a generalized symmetric system is controllable on a neighborhood of a point, then the system is controllable on some open set which includes the group action-orbit at the point.
这种方法的实质在于，在晶体场静止点荷模型基础上，考虑了诸配体等效中心对称场的部份分子轨道效应。
The essence of our method is that, on the base of the crystal field model for point charge, the effect of molecule orbit is considered partly for the centrally symmetric field of coordination bodies.
在前人已有成果的基础上，给出了三玻色子在不同轨道上时全对称波函数的非对称展开式，这种展开式可直接用于核潜的计算。
Based on the previous work, two expansion formulas of fully symmetric wave function for describing three bosons in different orbits are obtained, which can be used to calculate the nuclear specturm.
本文对分子轨道理论教学中关于对称性匹配原则，最大重叠原则， 分子轨道符号及反键效应等几个问题进行了讨论。
The present author discusses the symmetricalmatching principle, the maximum overlapping principle, the molecule orbitalsymbols and the anti-bond effect in the teaching of the molecule orbital theory.
提出了利用定域分子轨道重心确定分子轨道的对称性。
The centroids of localized orbitals (LMO_s) are used to determine the symmetry of LMO_s.
利用群论的方法及定域键的观点可以把轨道对称守恒原理表述为键对称守恒规律。
The conservation principle of orbital symmetry may be represented as conservation law of bond symmetry, by means of group theory and the point of view of the localized bonds.
研究了采用扭转柱面镜光学系统将厄米-高斯光束变换成为具有轨道角动量的拉盖尔-高斯扭转对称光束。
The transfer of orbital angular momentum during beam transformation was analyzed using beam transforming matrix and Collins integral.
提出了一种轨道对称性匹配的判断方法。
A judging method on matching of orbitals symmetry is put forward in this paper.
其原因可能是由于选择了一个较恰当的、含有强自旋轨道耦合的轴对称自洽场。
The reason of success is probably the proper choice of a axial-symmetric self-consistent field including a strong spin-orbit coupling.
对称性较高的团簇容易形成近简并的最外层分子轨道。
Degenerate outermost molecular orbitals is more easily formed when cluster has higher symmetry.
结果表明：对于异自旋三自由基体系，形成异自旋后对称性降低使部分占据的近简并轨道能级劈裂值增大，反铁磁耦合作用普遍增强。
The result shows that part-occupied near-degenerate orbitals split value and dia ferromagnetic coupling increases when symmetry of hetero tri-radicals decreases.
研究了采用扭转三柱面镜光学系统将厄米-高斯光束变换成为具有轨道角动量的拉盖尔-高斯扭转对称光束。
The twisted Laguerre-Gaussian beam was generated by transforming of Hermite-Gaussian beams through an optical system consisting of three rotated cylindrical lenses.
研究了采用扭转三柱面镜光学系统将厄米-高斯光束变换成为具有轨道角动量的拉盖尔-高斯扭转对称光束。
The twisted Laguerre-Gaussian beam was generated by transforming of Hermite-Gaussian beams through an optical system consisting of three rotated cylindrical lenses.
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