We can do the exact same thing when we talk about lithium, but now instead of breaking it up into two wave functions, we're breaking it up into three wave functions because we have three electrons.

在讨论锂时,我们也可以做，完全相同的事情,但不是把它分为两个波函数，而是分为三个波函数,因为我们有3个电子。

麻省理工公开课 - 化学原理课程节选

So we can draw that for 1 s a, we can also draw it for 1 s b, and what I'm saying for the molecular wave function is that we have the interference between the two, and we have a constructive interference, so we end up adding these two wave functions together.

所以我们可以对1sa画出它来，我们也可以对1sb画出它来，对于分子波函数我要说的是,它们两者之间会干涉，这里我们有相长干涉，所以我们得到的是波两个波函数加起来。

麻省理工公开课 - 化学原理课程节选

All right, now just to get you used to the idea, in every class we're going to have I think the same two people, so Jude is the cameraman; why don't you all wave to Jude.

还要说一下,每节课我们都会,看到这两名工作人员,裘德是摄影师,大家跟裘德打个招呼

耶鲁公开课 - 博弈论课程节选

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 instead, these would be canceling out wave functions between the two, so we would end up with a nodal plane down the center.

相反，两者之间的,波函数会相互抵消，所以我们在中间会得到一个节面。

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 in either case if we first talk about constructive interference, what again we're going to see is that where these two orbitals come together, we're going to see increased wave function in that area, so we saw constructive interference.

在任何情况下,如果我们首先讨论相长干涉的话，我们同样会看到,当这两个轨道靠拢的时候，我们看到这个区域有波函数增加，所以我们看到的是相长干涉。

麻省理工公开课 - 化学原理课程节选

The reason that we can talk about this is remember that we're talking about wave functions, we're talking about waves, so we can have constructive interference in which two different orbitals can constructively interfere, we can also have destructive interference.

我们可以这么说的原因是,记住我们说的是波函数，我们说的是波函数，所以我们可以得到相长干涉,这是两个不同轨道会相长干涉，我们也有相消干涉。

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

So, it turns out that n is not the only quantum number needed to describe a wave function, however. There's two more you can see come out of it.

事实上，n不是描述一个波函数需要的,唯一的量子数，你们可以看到，还需要，两个量子数。

麻省理工公开课 - 化学原理课程节选

So in this case the cross term represents constructive interference between the two 1 s atomic wave functions.

在这种情况下交叉项代表两个,1s原子波函数的相干干涉。

麻省理工公开课 - 化学原理课程节选

We call that a node, r and a node, more specifically, is any value of either r, the radius, or the two angles for 0 which the wave function, and that also means the wave function 0 squared or the probability density, is going to be equal to zero.

节点就是指对，于任何半径，或者，两个角度,波函数等于，这也意味着波函数的平方或者概率密度,等于，我们可以看到在1s轨道里。

麻省理工公开课 - 化学原理课程节选