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So here's the pneumonic I mentioned for writing the electron configuration and getting those orbital energies in the right order.
这里是我提到的,对于写电子构型,和以正确的顺序得到轨道能量。
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So we can actually pop an electron or eject an electron from any single orbital that is occupied within the atom.
任何一个被占据轨道,打出一个电子,或者说发射出一个电子。
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And I cannot have an unpaired electron in the same orbital.
我不可能在同一个轨道,得到不成对电子。
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One of the main difference is is that when you're talking about multi-electron orbitals, they're actually smaller than the corresponding orbital for the hydrogen atom.
其中最主要的区别之一,是当你讨论多电子轨道时,它们实际上，要比对应的氢原子轨道,要小一些。
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So again, this is an anti-bonding orbital, and what you see is that there is now less electron density between the two nuclei than there was when you had non-bonding.
同样的，这是反键轨道，你们看到当你有反键轨道的时候,两个原子核中间的电子密度更小了。
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So, the size still for an s orbital is larger than for a d orbital, but what we say is that an s electron can actually penetrate closer to the nucleus.
轨道的尺寸比,ｐ轨道还是要大，但我们说的是ｓ轨道可以,穿透到更接近原子核的地方。
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So what that means is that we're limited in any atom to having two electrons per orbital, right, because for any orbital we can either have a spin up electron, a spin down electron, or both.
这意味着在一个原子内,每个轨道上可以有两个电子，对吧，因为对任何轨道,我们可以有自旋向上或者自选向下或者两者都有。
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And, of course, each of those electrons correspond to an electron coming out of a particular orbital.
当然，每个电子都对应着,它原来所在的一个特定轨道。
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So we do, in fact, have a dependence on what the angle is of the electron as we define it in the orbital.
实际上当我们定义电子在这个轨道,它的波函数的确是和角度有关的。
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So, let's write this one electron orbital approximation for berylium, that sounds like a pretty complicated question, but hopefully we know that it's not at all, 1s22s2 it's just 1 s 2, and then 2 s 2.
所以让我们写出,铍的单电子轨道近似，那听起来像是一个更为复杂的问题，但是希望我们知道它一点都不是，它仅仅是。
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An electron. So now we have the complete description of an electron within an orbital.
电子，现在我们有了一个,轨道上的电子的完备描述。
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So, which orbital would we take an electron out of if we were ionizing this atom here?
那么，如果我们要电离这个原子,应该拿走那个轨道上的电子？
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The best suggestion is just to write it out completely for the neutral atom, and then you want to take an electron out of the highest orbital.
最好的办法是先写出它所对应,中性原子，然后再从,能量最高的轨道上拿走一个电子。
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So, our first orbital that an electron 1 s must be coming from is the 1 s.
所以，我们的第一个肯定有电子,被打出的轨道是。
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And what they could come up with, what they reasoned, is that there must be some intrinsic property within the electron, because we know that this describes the complete energy of the orbital should give us one single frequency.
他们想到着一定和，电子的本征性质有关，因为我们知道这个轨道的,完整描述会给出单一的频率。
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So again, what we're saying here is that it is most likely in the 3 s orbital that we would find the electron 11 and 1/2 times further away from the nucleus than we would in a around state hydrogen atom.
同样我们,这里说的是,氢原子３ｓ轨道中,最可能找到电子的地方,是基态的１１．５倍。
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The electron's going to come out of that highest occupied atomic orbital, that one that's the highest in energy, because that's going to be the at least amount of energy it needs to eject something.
这个电子应该是从,最高的被占据轨道上出来的，它的能级是最高的，因为这样的话发射出它,只需要消耗最少的能量。
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And again, you'll notice that our energy is absolutely the same for an electron in that 2px and 2s orbital.
同样，你们会发现2px轨道的能量,和2s轨道是一样的。
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So in the case of 12 32, that is our highest kinetic energy, it's the smallest amount of energy it takes to pop an electron out of that orbital.
因此，1232是我们能够得到的,最高的动能，它是从这个轨道中,打出一个电子需要消耗的最低能量。
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So let's compare what some of the similarities and differences are between hydrogen atom orbitals, which we spent a lot of time studying, and now these one electron orbital approximations for these multi-electron atoms.
很长时间的氢原子轨道和,现在多电子原子中,的单个电子轨道近似，我们可以对比，它们之间,的相似性和不同。
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So we can completely describe an orbital with just using three quantum numbers, but we have this fourth quantum number that describes something about the electron that's required for now a complete description of the electron, and that's the idea of spin.
所以我们可以用３个,量子数完全刻画轨道，但我们有这第四个量子数,来完整的,描述电子，这就是自旋的概念。
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This intuitively should make a lot of sense, because we know we're trying to minimize electron repulsions to keep things in as low an energy state as possible, so it makes sense that we would put one electron in each orbital first before we double up in any orbital.
这个直观上讲得通，因为我们知道尝试去最小化电子排斥力,从而尽可能的保持处于一个较低的能态,所以它讲得通,在我们在同一个轨道放入两个电子之前,我们首先把电子放入每一个轨道。
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s -- we don't have to hybridize it, it already has only one unpaired electron in a 1 s orbital.
s-我们不用杂化它，它已经有而且仅有一个未配对电子在s轨道里。
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so when we think about what it is that this radial probability distribution is telling us, it's telling us that it is most likely that an electron in a 2 s orbital of hydrogen is six times further away from the nucleus than it is in a 1 s orbital.
我们来讨论一下这个径向概率分布,告诉了我们什么，它告诉我们,对于氢原子２ｓ轨道的电子,最可能位置是１ｓ轨道的６倍。
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So, I want to contrast that with another concept that seemed to be opposing ideas, and that is thinking about not how far away the most probable radius is, but thinking about how close an electron can get to the nucleus if it's actually in that orbital.
我要将它和另外一个,看起来相反的概念相比较，我们不是考虑,最可能半径离原子核有多远，而是考虑如果电子在那个轨道上,能多接近原子核。
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Soon when we're talking about multi-electron atoms, and I just want to introduce it here, that it is sort of opposing ideas that even though the s is the biggest and it's most likely that the electron's going to be furthest away from the nucleus, that's also the orbital in which the electron can, in fact, penetrate closest.
当我们说多电子原子时，我这里要先介绍一下，这些概念有些相反,虽然ｓ轨道最大,所以电子最可能远离原子核，但它上面的最容易，穿透到离原子核最近。
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So, if we say that in this entire plane we have zero probability of finding a p electron anywhere in the plane, the plane goes directly through the nucleus in every case but a p orbital, so what we can also say is that there is zero probability of finding a p electron at the nucleus.
而只要是ｐ轨道,这个平面都直接，穿过原子核，那么我们,可以说在原子核上,找到一个ｐ电子的概率为零。
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But unlike the case with boron where we had an empty p orbital, we're actually going to have an electron in the p orbital of carbon as well.
但和硼里面有个空的p轨道不同，我们实际上有一个电子,在碳里p轨道里也有电子。
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But actually there is a little bit of an energy cost into doubling up into a single orbital, because, of course, it takes energy when you create more electron repulsion, that's not something we want to do, but we have to do it here, and it turns out that that effect predominates over, again, the energy that we gain by increasing the atomic number by one.
但实际上，在一个轨道上放两个电子,确实会亏损一点能量，因为，当你加入更多电子，引起更大的排斥能,这显然会消耗能量，这不是我们想要做的，但是在这种情况下我们不得不做，结果这一影响，超过了增加一个,原子序数所得到的能量。
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So for example, if you look at the 1 s orbital here, you can see that actually it is lower in the case of the multi-electron atom than it is for the hydrogen atom.
所以举例来说，如果你看到这里的1s轨道,你可以看到实际上,多电子原子情况的。
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