If we overlay what the actual molecular orbital is on top of it, what you see is that in the center you end up cancelling out the wave function entirely.

如果我们把真实的分子轨道覆盖在上面，你可以看到中间的,波函数是完全抵消掉了。

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 talked about the wave function for a 2 s orbital, and also for a 3 s orbital.

我们讲过２ｓ轨道的波函数，也讲过３ｓ轨道。

麻省理工公开课 - 化学原理课程节选

So, saying wave functions within molecules might sound a little confusing, but remember we spent a lot of time talking about wave functions within atoms, and we know how to describe that, we know that a wave function just means an atomic orbital.

说分子内的波函数可能,听着有点容易搞混，但记住我们花了很多时间,讨论了原子中的波函数，而且我们知道如何去描述它，我们知道波函数意味着原子轨道。

麻省理工公开课 - 化学原理课程节选

And again, I want to point out that a molecular orbital, we can also call that a wave function, they're the same thing.

同样，我要指出的是,一个分子轨道，我们也可以叫它波函数，这是一件事情。

麻省理工公开课 - 化学原理课程节选

It's the same thing with molecules a molecular wave function just means a molecular orbital.

这对于分子也是一样,分子波函数就意味着分子轨道。

麻省理工公开课 - 化学原理课程节选

So the probability again, that's just the orbital squared, the wave function squared.

同样，概率密度，这就是轨道的平方，波函数的平方。

麻省理工公开课 - 化学原理课程节选

And we also, when we solved or we looked at the solution to that Schrodinger equation, what we saw was that we actually needed three different quantum numbers to fully describe the wave function of a hydrogen atom or to fully describe an orbital.

此外，当我们解波函数,或者考虑薛定谔方程的结果时，我们看到的确３个不同的量子数,完全刻画了氢原子,的波函数或者说轨道。

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

In contrast when we're looking at a p orbital, so any time l is equal to 1, and you look at angular part of the wave function here, what you see is the wave function either depends on theta or is dependent on both theta and phi.

相反当我们看ｐ轨道时，任何时候ｌ等于１,你们看它的角向波函数，你们可以看到它要么是和theta有关,要么是和theta和phi都有关。

麻省理工公开课 - 化学原理课程节选

So they're the same shape, this is the shape of the orbital or the shape of the wave function, and we can call this either 2 p x a being combined with 2 p x b, or we could say since it's the same shape, it's 2 p y a being combined with 2 p y b.

它们形状是一样的，这是轨道的形状或者波函数的形状，我们叫它2pxa和2pxb结合，或者我们说因为它们的形状是一样的，它是2pya和2pyb结合。

麻省理工公开课 - 化学原理课程节选