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

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, essentially we're just breaking it up into two parts that can be separated, and the part that is only dealing with the radius, so it's only a function of the radius of the electron from the nucleus.

所以本质上我们把它写成,两个可分离的部分，这部分，只与半径有关，它仅仅是，电子,到核子距离的函数。

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

So, you remember from last time radial nodes are values of r at which the wave function and wave function squared are zero, so the difference is now we're just talking about the angular part of the wave function.

你们记得上次说径向节点在,波函数和波函数的平方,等于零的ｒ的处，现在的区别是我们讨论的是,角向波函数。

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