We are talking about probability, but what we're saying is that most probable radius is further away from the nucleus.
我们说的是概率,也就是说它的最可能半径,离原子核更远。
And I just want to point out here in terms of things that you're responsible for, you should know that the most probable radius for a 1 s hydrogen atom is equal a nought.
在这里,我想要指出的是,你们要知道氢原子1s轨道,最可能距离等于a0
But what's important is not where that most probable radius is when we're talking about the z effective it feels, what's more important is how close the electron actually can get the nucleus.
但重要的不是,最可能半径,当我们谈论它感到的有效电荷量的时候,更重要的是,电子实际上。
And again, we can define what that most probable radius is, that distance at which we're most likely to find an electron.
同样的,我们可以定义最可能距离,在这里找到电子的概率最大。
And we call that most probable radius r sub m p, or most probable radius.
我们叫它r小标mp,或者最可能半径。
And that's what we label as r sub m p, or your most probable radius.
或者最可能半径,这是你找到。
We have one node here, and we can again define that most probable radius.
在这里有个一节点,另外我们可以定义最可能半径。
And the most probable one here is that a nought.
这个最可能的地方就是a0
For example, when we're talking about radial probability distributions, the most probable radius is closer into the nucleus than it is for the s orbital.
举例来说当我们讨论径向概率分布时,距离原子核最可能的半径是,比s轨道半径,更近的可以离原子核有多近。
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。
So, there are 2 different things that we can compare when we're comparing graphs of radial probability distribution, and the first thing we can do is think about well, how does the radius change, or the most probable radius change when we're increasing n, when we're increasing the principle quantum number here?
当比较这些径向概率分布图,的时候,我们可以比较两个东西,第一个就是考虑当我们增加n,当我们增加主量子数的时候,半径怎么变,最可能半径怎么变化?
The other thing that I want you to notice, is if you look at the most probable radius, for the 2 s orbital it's actually out further away from the nucleus than it is for the 2 p orbital.
另外一个你们要注意的地方就是,如果你们看它的最可能半径,2s轨道比2p轨道的,要更加远离原子核。
So again, what we see is the same pattern where the most probable radius, if we talk about it in terms of the d, that's going to be smaller then for the p, and the 3 p most probable radius is going to be closer to the nucleus than it is for the 3 s most probable radius that we're looking at.
同样的,我们可以看到相同的行为,d轨道的,最可能半径,比p轨道小,3p轨道的,最可能半径,比3s轨道离原子核更近。
And what he came out with when he did some calculations is that there's the radius that he could calculate was equal to this number a sub nought, which is what we call the Bohr radius, and it turns out that the Bohr radius happens to be the radius most probable for a hydrogen atom.
等于这个a0的值,我们叫它波尔半径,而,波尔半径恰好是,最容易,找到电子的地方,我们对波尔模型,不做过多的解释,这是因为。
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