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You'll also know that all of these binding energies here are negative, so the negative sign indicates that it's low.
你们将会知道所有的这些,结合能都是负的。
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So when you operate on the wave function, what you end up with is getting the binding energy of the electron, and the wave function back out.
所以当你将它作用于波函数时，你得到的是电子的结合能,和后面的波函数。
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And, subsequently, we looked at photoelectron spectroscopy which is a technique that allows us to determine binding energies, ionization energies being just one example.
随后，我们看了光电子谱,这是一种只用一个样品,能够测量结合能，离子化能的技术。
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Then we'll move on to talking about the binding energies, and we'll specifically talk about how that differs from the binding energies we saw of hydrogen atoms.
然后我们将会讨论结合能,而且我们将特别地讨论，那个如何与氢原子,的结合能不同,我们讨论氢原子特别深入。
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Right, because when we think of an energy diagram, that lowest spot there is going to have the lowest value of the binding energy or the most negative value of binding.
对因为当我们考虑,一个能量图时那里最低的点,是具有最低的结合能,或者最不活跃的结合能。
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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。
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And an important thing to note is in terms of what that physically means, so physically the binding energy is just the negative of the ionization energy.
一个需要注意的很重要的事情,是它的物理意义，从物理角度来说结合能,仅仅是电离能的负数。
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So, what we can do is figure out what we would expect the binding energy of that electron to be in the case of this total shielding.
完全屏蔽的案例中,期望的电子结合,能再次记住,结合能物理上来说是。
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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。
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So we know that we're in the n equals 5 state, so we can find what the binding energy is here.
我们知道,我们在n等于5的态，我们可以找到结合能是多少。
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What is the binding energy of the ground state electron in hydrogen?
氢在基态的情况下,它的电子结合能是多少？
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So now we can just take the negative of that binding energy here, and I've just rounded up here or 1 . 4 times 10 to the negative 19 joules.
等于4是第三激发态,现在我们可以取它结合能的负值,也就是1。4乘以10的负19次方。
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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。
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We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.
我们看过波函数，我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能，所以我们来看一看。
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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？
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We know that binding energy is always negative, ionization energy is always positive.
我们知道结合能，总是负的，电离能总是正的。
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The ionization energy, of course, is just the negative of the binding energy.
电离能，我们知道也就是,负的结合能。
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So we have this infinite number of possible binding energies.
我们有无穷多的可能的结合能。
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And when we talked about that, what we found was that we could actually validate our predicted binding energies by looking at the emission spectra of the hydrogen atom, which is what we did as the demo, or we could think about the absorption spectra as well.
当我们讨论它时，我们发现,我们可以通过,观察氢原子,发射光谱，来预测，结合能，就像我们在演示实验里做的那样，或者我们也可以观察吸收谱。
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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。
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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。
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So you don't want to put in a negative energy, that's not going to help you out, you need to put in positive energy to get an electron out of the system. So that's why you'll find binding energies are always negative, and ionization energies are always going to be positive, or you could look at the equation and see it from there as well.
因为这对电离没有帮助,你需要一个正的能量,使得电子脱离这个系统,这就是为什么你会发现,结合能总是负的而电离能总是正的,或者你们看这个方程也可以发现这一点。
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it's an easy calculation -- we're just taking the negative of the binding energy, again that makes sense, because it's this difference in energy here. So what we get is that the binding energy, when it's negative, the ionization energy is 5 . 4 5 times 10 to the negative 19 joules.
这个计算很简单-我们,只需要取结合能的负值,同样这很容易理解，因为这就是这的能量差,所以我们得到的就是结合能,当它取负值，电离能就是5。45乘以。
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And we know that n describes the total energy, that total binding energy of the electron, so the total energy is going to be equal to potential energy plus kinetic energy.
我们知道，n是描述总能量的，电子总的结合能，所以总能量，等于,势能加动能。
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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。
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So we have the operationon the wave function in terms of r, theta, and phi and remember this e is just our binding energy for the electron, and we get back out this wave function.
我们用r，θ，φ来表示,将算符作用于波函数,而且记住e仅仅是电子结合能，然后后面加上波函数。
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So for n equals 2, what would the binding energy be?
对n等于2，结合能是多少？
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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。
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We also know how to figure out the energy of this orbital, and we know how to figure out the energy using this formula here, which was the binding energy, -Rh which is negative r h, we can plug it in because n equals 1, so over 1 squared, and the actual energy is here.
我们知道如何算出,这个轨道的能级，而且我们知道如何,用这个公式,算出能量，也即是结合能，等于，我们把n等于1代进来，所以除以1的平方，这就是能量。
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So, e is binding energy.
所以，“E“是结合能。
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