So, for example, if we were looking at the actual wave function, we would say that these parts here have a positive amplitude, and in here we have a negative amplitude.

我们看，一个波函数,我们说，它这部分幅值，为正,这部分幅值为负，当我们看。

麻省理工公开课 - 化学原理课程节选

So, first, if I point out when l equals 0, when we have an s orbital, what you see is that angular part of the wave function is equal to a constant.

首先，如果ｌ等于０,那就是ｓ轨道，你们可以看到,它波函数的角度部分是一个常数。

麻省理工公开课 - 化学原理课程节选

We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.

我们看过波函数，我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能，所以我们来看一看。

麻省理工公开课 - 化学原理课程节选

so, remember we can break up the total wave function into the radial part and the angular part.

记住我们可以把整体波函数,分解成径向部分和角向部分。

麻省理工公开课 - 化学原理课程节选

No matter where you specify your electron is in terms of those two angles, it doesn't matter the angular part of your wave function is going to be the same.

不论你将，这两个角度,取成什么值，波函数的角向部分,都是，相同的。

麻省理工公开课 - 化学原理课程节选

So you can see there's this radial part here, and you have the angular part, you can combine the two parts to get the total wave function.

你们可以看到，这是径向部分，这是角向部分，把这两部分结合到一起,就是总的波函数。

麻省理工公开课 - 化学原理课程节选

And what we end up forming is a molecular orbital, because as we bring these two atomic orbitals close together, the part between them, that wave function, constructively interferes such that in our molecular orbital, we actually have a lot of wave function in between the two nuclei.

最后我们得到了分子轨道，因为当我们把这两个原子轨道放在一起的时候，它们之间的部分，波函数，相干相加，所以在分子轨道里，我们在两个原子核之间有很多波函数。

麻省理工公开课 - 化学原理课程节选

I have yet to show you the solution to a wave function for the hydrogen atom, so let me do that here, and then we'll build back up to probability densities, and it turns out that if we're talking about any wave function, we can actually break it up into two components, which are called the radial wave function and angular wave function.

我还没有给你们看过,氢原子波函数的解，让我现在给你们看一下，然后再来说,概率密度，实际上,对于任何一个波函数来说，我们可以把它,分解为两部分，分别叫做径向波函数,和角向波函数。

麻省理工公开课 - 化学原理课程节选

The more important thing that I want you to notice when you're looking at this wave equation for a 1 s h atom, is the fact that if you look at the angular component of the wave function, you'll notice that it's a constant.

我要你们注意的,更重要的一点是,当你们看到,这个氢原子1s轨道方程的时候，如果你们看,波函数，的角向部分，你们会发现它是一个常数。

麻省理工公开课 - 化学原理课程节选