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For an angular node, we're just talking about what the l value is, so whatever l is equal to is equal to the number of angular nodes you have.
对于角向节点，我们其实就是在讨论l，的值是多少，因此不管，l，的值等于几,它就等于你所有的角向节点的数目。
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So if we say that we have a 2 p orbital here, that means that we can have 2 how many different complete orbitals have a 2 for an n, and a p as its l value? three.
如果我们说这里有一个“2p“轨道，那就意味着我们有,多少完全不同的轨道对于n有一个,而且对于l值有一个p？3个。
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It says, right. If j is-- well it says until j is at the less than the length of l-- it says, if min value is bigger than the thing I'm looking at I'm going to do something, all right?
只要j比长度l小,如果MinVal比我要找到元素大，我就要做些什么了,我们来遍历？
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So if we're keeping n the same, we look and what we saw was that size actually decreases as we increase the value of l.
如果我们保持ｎ不变，我们看到随着ｌ值的,增大尺寸变小。
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PROFESSOR: OK. We can have n 4, l 3, and then, sure, we can have m sub l equal negative 2 if l equals 3 What's the second value of l that we can have?
教授：嗯，我们有ｎ４，ｌ３,然后我们有ｍｌ等于－２，如果ｌ等于３,ｌ可以有的第二个值是多少？
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If we have n equals 4, what is the highest value of l that we can have?
如果ｎ等于４,ｌ的最大值是多少？
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So, if we think of just an example, 2 we could say that 4 l equals 2, what would be our lowest value of m sub l?
举个例子，如果我们说l等于，那m小标l，最小值是多少？
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So when we talk about p orbitals, it's similar to talking about s orbitals, and the difference lies, and now we have a different value for l, so l equals 1 for a p orbital, and we know if we have l equal 1, we can have three different total orbitals that have sub-shell of l equalling 1.
当我们考虑ｐ轨道时，这和ｓ轨道的情形和相似，不同之处在于ｌ的值不一样，对于ｐ轨道，ｌ等于１,我们知道如果ｌ等于１,我们有３个,不同的轨道。
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And unlike n, l can start all the way down at 0, and it increases by integer value, so we go 1, 2, 3, and all the way up.
不像n，l可以从0开始取，然后每次增加一个整数，所以我们可以去1，2，3，一直下去。
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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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But also unlike n, l cannot have just any value, we can't go into infinity.
但不像n，l，不能取所有整数，不能到正无穷。
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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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The other main difference that we're really going to get to today is that in multi-electron atoms, orbital energies depend not just on the shell, which is what we saw before, not just on the value of n, but also on the angular momentum quantum l number. So they also depend on the sub-shell or l.
我们今天要讨论的,另一个很重要的区别就是,在多电子原子中，轨道能力不仅仅依赖于，我们以前看到的外层，不仅仅依赖于n的值，而是与角动量量子数也有关系,所以它们也依赖于亚外层或者。
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