And, in fact, these are the only two types of nodes that we're going to be describing, so we can actually calculate both the total number of notes and the number of each type of node we should expect to see in any type of orbital.
事实上,我们只,描述这两种节点,所以我们可以,计算任何轨道中的,总结点数以及各种节点数。
At each node, I'm going to go left until I can't go any further.
在每一个节点,我都会先走左边的分支,直到走不下去。
We have one node here, and we can again define that most probable radius.
在这里有个一节点,另外我们可以定义最可能半径。
We can also specify what kind of node we're talking about.
我们说的是哪种节点,我们在下节课。
So what we end up with is one radial node for the 2 s orbital of hydrogen, and we can apply that for argon or any other multi-electron atom here, we also have one radial node for the 2 s orbital of argon.
那意味着它们都是径向节点,所以我们得出的结论是,氢的2s轨道是1个径向节点,我们可以将它应用,到氩或者任意一个多电子原子,对于氩的2s轨道。
You can also have angular notes, and when we talk about an anglar node, what we're talking about is values of theta or values of phi at which the wave function, and therefore, the wave function squared, or the probability density are going to be equal to zero.
我们也可以有角向节点,当我们说道一个角向节点时,我们指的是在某个theta的值,或者phi的值的地方,波函数以及波函数的平方,或者概率密度等于零。
We can look at the 2 p, which should have one radial node, and we just figured it out for the, excuse me, 3d for the 3 p has one radial node, and for the 3 d here, we should have zero radial nodes, we just calculated that.
我们看2p,它有一个节点,我们已经知道对于,不好意思,是3p有一个节点,对于,它应该没有径向节点,我们刚刚算过这个。
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