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。
Once we can do that we can go on and say okay, what actually is a wave function, but first we need to know how to describe which ones were talking about.
我们就可以继续并说波函数到底是什么,但首先,我们需要知道,如何描述,我们说的,是哪一个波函数。
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。
We can use the Coulomb force law to explain this where we can describe the force as a function of r.
我们用库伦定律解释它,力作为距离r的函数,让我们考虑一下。
So, we can use Coulomb's force law to think and it does that, it tells us the force is a function of that distance. But what it does not tell us, which if we're trying to describe an atom we really want to know, is what happens to the distance as time passes?
来考虑这两个粒子之间的,它告诉我们力随距离的函数关系,但它不能告诉我们,而我们如果要描述,原子又非常想知道的是,距离随时间的变化时怎样的?
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。
So if, in fact, we want to describe a wave function, we know that we need to describe it in terms of all three quantum numbers, and also as a function of our three positional factors, which are r, the radius, phi plus the two angles, theta and phi.
实际上,我们想描述波函数,我们知道我们需要,用这三个量子数来描述它,同样,波函数还是,三个位置变量的函数,它们是r半径,还有两个角度theta和。
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