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And this spin magnetic quantum number we abbreviate as m sub s, so that's to differentiate from m sub l.
这个自旋磁量子数我们把它简写成ｍ下标ｓ,以和ｍ小标ｌ有所区分。
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STUDENT: PROFESSOR: Oh, I'm sorry. So it's n minus l minus 1.
学生：,教授：不好意思，这是ｎ减去ｌ减去１．
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So I'm not even willing to use the L words in describing what it is we have." Right?
甚至不愿意,用爱来表达我们之间的关系？
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n l m s Once we have chosen a certain mix of n, l, m and s, it is used once for that particular atom.
一旦我们选定了一组量子数，它就只能被一个固定原子所有。
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Yesterday, on M.L. King Day, I had the privilege of being on at least four radio programs about this new book I have out called A Slave No More, some of them quite terrific.
昨天是马丁·路德·金的纪念日,我有幸被超过四家电台的问答节目邀请去,介绍我最新出版的一本书《无奴之国》,有些问题很有深度
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We didn't just need that n, not just the principle quantum number that we needed to discuss the energy, but we also need to talk about l and m, as we did in our clicker question up here.
我们不仅需要ｎ,不仅要这个可以,决定能量的主量子数，还需要ｍ和ｌ,就像我们做这道题这样。
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And the complete description, as I said, n l m is from n l and m.
我说过完整的描述，需要。
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Yup. So m sub l could equal 2 negative 2, negative 1, 0, 1 or 2.
嗯，m下标l可以等于,2，-1，0，1，或。
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So let's just think exactly what this means, and that means that if we take away function and we define it in terms of n, l and m sub l, what we're defining here is the complete description of an orbital.
让我们来考虑一下这是什么意思，这是说如果我们不考虑波函数,而是用ｎ，ｌ，ｍ下标ｌ来定义它，我们定义的,是一个轨道的完整描述。
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Just by n, l, m, s is inadequate.
仅仅靠n，l，m，s是不够的。
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No, we can't. Because if l equals 1, we can not have m sub l equal negative 2, right, because the magnetic quantum number only goes from negative l to positive l here.
不行，因为如果ｌ等于１,ｍｌ的值不可能等于－２，对吧，因为磁量子数的值,这时只能从－１到１
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And in order to label the various orbitals, as he called them, m he introduced two more quantum numbers, l and m.
为了给他所说的不同的轨道，标号，他又另外引进了两个量子数，l和。
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So we could have five values of m sub l.
所以它可以取5个值。
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s We are back over to E as a function of n, l, m and s, only we got there through this other torturous route.
我们回到将E作为函数n，l和，只要我们解决了这个烦人的路径。
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So the allowed values for m sub l 0 are going to be negative l, all the way up to 0, l and then up to positive l.
所以m小标l的可能值,是从负l，一直到，然后到正。
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Again, the reason for that is because the energy only depends on the n value here, it doesn't depend on l or on m.
因为，能量,只和n的值有关，与l和m的值无关。
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So, our next level up that we can go is going to be the n equals 2 energy level, but we also have an l and an m value, 0 so our lowest l is going to be a there.
所以下一个能量,是n等于2的能级，但我们还有l和m的值，所以我们最低的l等于。
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So finally, if we talk about our last example of when n is going to be equal 2, l -1 and then minus 1 for m.
最后我们要讲的,这个例子，是n等于2时，等于1，we，can，have，2，，1，for，l,而m等于。
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So when we talk about a wave function squared, n l m he wave function, any one that we specify between n, l and m, at any position that we specify based on r, theta, and phi.
一个波函数,的平方时，对特定,特定位置r，theta，phi波函数，取平方,如果我们取平方。
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m And the third one is called m, l it's also m sub l.
第三个量子数叫做，也叫做m小标。
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l But now we need to talk about l and m as well. So now when we talk about a ground state in terms of wave function, we need to talk about the wave function of 1, 0, 0, and again, as a function of r, theta and phi.
但我们现在需要讨论,和m，现在当我们讨论,波函数的基态时，我们讨论的，是1，0，0的波函数，同样的，它也是r，theta和phi的函数。
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m And we saw l and m last day.
上节课我们也讲到了l和。
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