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So this delta energy here is very simply the energy of the initial state minus the energy of the final state.
很简单的，这个能量差等于,初始能量减去末能量。
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The formula tells us or absorbed based on the energy difference between the two levels that we're going between, that the electron is transitioning between.
这些公式告诉我们,或发出的光的，频率大小,是基于，电子转移的，两个能级，之间的能量差。
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There are some relative, the notion that the energy gap between n equals one and n equals two is greater than that for n equals two to n equals three. That is correctly represented.
还有很多与之相关的内容，比如说这个观点，第一能量级和第二能量级,之间的能量差要大于第二和第三能量级间的,能量差，而这已经被正确地表示出来了。
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And I know energy is related to Cv through Cv dT etcetera.
我们可以计算,这两个过程中的能量差。
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So, similarly in a case where instead we have a small energy difference, we're going to have a low frequency, which means that we're going to have a long wavelength here.
在这个例子里,能量差较小,我们得到的频率低,这意味这它的波长更长。
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And what we predict as an energy difference between two levels, we know should correspond to the energy of light that's either emitted, if we're giving off a photon, or that's absorbed if we're going to take on a photon and jump from a lower to a higher energy level.
我们预测，两个能级之间的能量差，我们知道，它要么和发出的光有关,如果它发出光子的话，要么它吸收光子,从低能级跃迁到，更高能级上去。
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That is the difference between these two energy states.
这个能量就是两能级之间的能量差。
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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 what the second point of Aufbau says is that as electrons begin to fill those levels the differences in energy may shift so that in an unoccupied state certain levels may be in the inverse order from how they are in the occupied state.
构造原理谈到的第二点是,当电子开始布满这些层时,能量差可能会有改变,所以在一个未占据的确定能级,可能与它们占据时,的排布顺序是相反的。
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So that should make sense, because we saw no energy difference between the actual atoms and the molecules.
这很好理解，因为我们看到,原子和分子的能量差为零。
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So, if we want to go from that stable state to that less stable state, we need to put in a certain amount of energy to our system, that difference between the free electron and the electron bound to the metal.
所以，如果我们想使电子,从稳态到达不够稳定的状态，我们需要引入一定数量的,能量到系统中，即自由电子和束缚于金属的,电子的能量差。
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So that's just a little bit of a check for yourself, and it should make sense because what you're doing is you're calculating the difference between energy levels, so you just need to flip around which you put first to end up with a positive number here, and that's a little bit of a check that you can do what yourself.
所以你们总要确保括号，离得这项是正的，这是你们自己,可以做的检查，这事很有道理的，因为你们做的是计算能量差,所以你需要调整顺序来保证一个正数，这是你们自己可以做的检查。
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We can think about the Lyman series, which is 1 where n equals 1. We know that that's going to be a higher energy difference, so that means that we're going to be in the UV range.
我们可以来看看Lyman系,也就是n等于,我们知道它的能量差更大,所以它在紫外光区内。
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PROFESSOR: Good. So, it's going to be in 3, because that's the shortest energy difference we can have, 3 those 2 are inversely related, so it must be n equals 3.
教授：好，是3，因为它的能量差最小，红色的是我们能看到的，所以一定是n等于。
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Then we would be able to change our equation to make it a little bit more specific and say that delta energy here is equal to energy of n equals 6, minus the energy of the n equals 2 state.
第一激发态，我们就可以把方程,变得更具体一点，能量差,等于n等于6能量，减去n等于2的能量。
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So, if, for example, we were looking at a hydrogen atom in the case where we have the n equals 1 state, so the electron is in that ground state, the ionization energy, it makes sense, is going to be the difference between the ground state and the energy it takes to be a free electron.
电离氢原子所需要的能量,如果我们看n等于1的情况,电子在基态，那电离能，很合理的就是基态,和自由电子态的能量差。
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