We're going to be looking at the solutions to the Schrodinger equation for a hydrogen atom, and specifically we'll be looking at the binding energy of the electron to the nucleus.

我们将研究下氢原子薛定谔方程的解,特别是电子和核子的结合能,我们将研究这部分。

麻省理工公开课 - 化学原理课程节选

So, for example, in a hydrogen atom, if you take the binding energy, the negative of that is going to be how much energy you have to put in to ionize the hydrogen atom.

例如在氢原子里面,如果你取一个结合能,它的负数就是。

麻省理工公开课 - 化学原理课程节选

And it should make sense where we got this from, because we know that the binding energy, if we're talking about a hydrogen atom, what is the binding energy equal to?

很容易理解，我们怎么得到这个的，因为我们知道，结合能，如果，对氢原子来说，结合能等于什么？

麻省理工公开课 - 化学原理课程节选

So if we can figure out the binding energy, we can also figure out how much energy we have to put into our atom in order to a eject or ionize an electron.

所以如果我们可以计算出结合能，我们也可以计算出,我们需要注入多少能量到原子中,去逐出或电离一个电子。

麻省理工公开课 - 化学原理课程节选

And we can look at precisely why that is by looking at the equations for the energy levels for a hydrogen atom versus the multi-electron atom. So, for a hydrogen atom, and actually for any one electron atom at all, this is our energy or our binding energy.

而且我们可以精确地看看,为什么是这样的,通过看对于氢原子和,多电子原子能级的方程所以对于氢原子，事实上对于任何一个电子，这是我们的能量或者我们的结合能。

麻省理工公开课 - 化学原理课程节选

We've got a lot of constants in this solution to the hydrogen atom, and we know what most of these mean. But remember that this whole term in green here is what is going to be equal to that binding energy between the nucleus of a hydrogen atom and the electron.

在这个解中有很多常数,其中大部分我们,都知道它们代表的意思,但记住是这整个绿色的部分,等于核子和电子的结合能。

麻省理工公开课 - 化学原理课程节选

This e term here is the energy, or in our case when we talk about an electron in a hydrogen atom, for example, the binding energy of that electron to the nucleus.

这里的“E“是指能量，或者在我们谈论一个,氢原子的电子时，举例来说，是电子对于原子核的结合能。

麻省理工公开课 - 化学原理课程节选

We're going to get to more complicated atoms eventually where we're going to have more than one electron in it, but when we're talking about a single electron atom, we know that the binding energy is equal to the negative of the Rydberg constant over n squared, so it's only depends on n.

我们以后会讲到，更加复杂的情况,那时候,不只有一个原子，但当我们讲，单个原子的时候，我们知道结合能，等于,负的Rydberg常数,除以n平方，所以它仅仅由n决定的。

麻省理工公开课 - 化学原理课程节选