So I mentioned you should be able to identify both how many nodes you have and what a graph might look like of different radial probability distributions.

我说过你们要能够辨认,不同的径向概率分布有多少个节点,以及它的图画出来,大概是什么样的。

麻省理工公开课 - 化学原理课程节选

Another thing to point out in these two graphs is that we do have nodes, and we figured out last time, we calculated how many nodes we should have in a 2 s orbital.

另外这两张图上要指出的是,我们可以看到节点，上次我们知道，我们算了２ｓ轨道有多少个节点。

麻省理工公开课 - 化学原理课程节选

You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.

你们可以直接用这个方程，或者每次都自己算出来，因为如果你们知道了总的节点数，又知道角向节点数，就知道剩下的节点数是多少。

麻省理工公开课 - 化学原理课程节选

Or we could just look at the radial probability distribution itself and see how many nodes there are.

或者我们可以直接,看径向概率分布图,本身看看里面有几个节点。

麻省理工公开课 - 化学原理课程节选

All we have to figure out is how many nodes we're dealing with and then we can get the general shape of the graph here.

我们要知道的就是有多少个节点,然后我们就能得到图的大致形状了。

麻省理工公开课 - 化学原理课程节选

So, we can see in our 1 s orbital, how many nodes do we have?

有多个节点呢？,没有节点，嗯？

麻省理工公开课 - 化学原理课程节选

And how many nodes do you see in the 3 s orbital?

那３ｓ轨道有多少个节点呢？

麻省理工公开课 - 化学原理课程节选

It looks like we hit zero, but we actually don't remember that we never go all the way to zero, so there's these little points if we were to look really carefully at an accurate probability density plot, And then, for example, how many nodes do we have in the 3 s orbital?

但其实没有，记住，我们永远不会到零,如果我们，在概率密度图上,非常细致的看这些点的话,它永远不会到零，在3s轨道里，有多少个点呢？，2个，正确？

麻省理工公开课 - 化学原理课程节选

Yup, so one total node, 2 minus 1 is 1, and that means since l is equal to 1, we have one angular nodes, and that leaves us with how many radial nodes?

一个节点，２减去１等于１,因为ｌ等于１,我们有一个角向节点，那剩下径向节点有多少个呢？

麻省理工公开课 - 化学原理课程节选

So, I'm asking very specifically about radial nodes here, how many radial nodes does a hydrogen atom 3 d orbital have?

我问的是径向节点，这里3d轨道的径向节点有多少个？

麻省理工公开课 - 化学原理课程节选

Let's look now at a p orbital, so how many total nodes do we have here?

让我们来看看ｐ轨道，它有多少个节点呢？

麻省理工公开课 - 化学原理课程节选

So for a 2 s orbital, how many total nodes will we have?

对于２ｓ轨道，有多少个节点？

麻省理工公开课 - 化学原理课程节选

So, this should be pretty straight forward, 100% let's see if we can get close to a 100% on this one, which is how many radial nodes does a 4 p orbital have?

很简单,让我们来看看这题，我们是不是可以接近%,对于一个4p轨道，它有多少个节点？,给你们10秒钟？

麻省理工公开课 - 化学原理课程节选