a0 This is equal to a sub nought for a hydrogen atom, and we remember that that's just our Bohr radius, which is . 5 2 9 angstroms.
它等于,我们记得,这就是波尔半径,也就是0,529埃,实际上。
So if we superimpose our radial probability distribution onto the Bohr radius, we see it's much more complicated than just having a discreet radius.
为波尔半径,这其实比分立的轨道,要复杂很多,我们可以有任何的半径,但有些半径的概率。
We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.
在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。
And remember, a nought, that's just the Bohr radius, that's all we need to worry about.
记住a0就是波尔半径,我们要记住这点。
The Bohr radius, for hydrogen is 0.529 angstroms.
波尔半径,对于氢原子来说是0。529埃。
And basically, what that means is you can actually find an electron anywhere going away from the nucleus, a0 but you're most likely to find that you have the highest probability at a distance of a sub nought, or the Bohr radius.
它说明,虽然你可以,在任何地方,找到电子,但在距离为,或者波尔半径的地方,找到电子,的概率最大,我说过。
There is the Bohr radius down there, number 24.
有波尔半径在第24个。
So, I said I'd tell you a little bit more about where this Bohr radius came from, and it came from a model of the atom that pre-dated quantum mechanics, and Neils Bohr is who came up with the idea of the Bohr radius, and here is hanging out with Einstein, he had pretty good company that he kept.
我要告诉你们,波尔半径是从哪里来的,它起源于前量子力学时代的,原子模型,尼尔斯,玻尔提出了,波尔半径的概念,这是他和爱因斯坦在一起,他们是好朋友,当我们讨论这个原子模型时你们要记住的是,在1911年。
This is what's called the Bohr radius, and we'll explain - hopefully we'll get to it today where this Bohr radius name comes from, but for now what you need to know is just that it's a constant, just treat it like a constant, and it turns out to be equal to or about 1/2 an angstrom.
它叫做玻尔半径,我们后面会解释,希望我们今天可以讲到,波尔半径这个名称的由来,但现在你们只要记住,它是一个常数,只要把它当做一个常数对待,它等于,或者是1/2埃。
For the 2 s orbital, at 2 a nought, a0 so it's just 2 times that constant a nought, which is the Bohr radius.
也就是,乘以常数,玻尔半径,对于3s轨道。
And this quantity is termed the Bohr radius.
而这个量被叫做,Bohr,半径。
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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