Because what it tells is that we can figure out exactly what the radius of an electron and a nucleus are in a hydrogen atom.
我们可以,准确的算出,氢原子中,电子。
We're going to be looking at the solutions to the Schrodinger equation for a hydrogen atom, and specifically we'll be looking at the binding energy of the electron to the nucleus.
我们将研究下氢原子薛定谔方程的解,特别是电子和核子的结合能,我们将研究这部分。
Further, the nucleus is assumed to be the seat of the essential part of the mass of the atom, and to have linear dimensions exceedingly small compared with the linear dimensions of the whole atom."
进一步的,核被认为是,原子主要质量所在的地方,和整个原子线性尺度相比,核具有很好的线性尺度“
And, as I mentioned, we left off and as we started back here to describe the atom and how the atom holds together the nucleus and the electron using classical mechanics.
我之前提及过,我们上次,讲到应用经典力学如何描述,一个原子以及原子如何把质子,和电子束缚在一起,今天我们要。
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。
What I want to point out also is that this h hat, the Hamiltonian operator written out for the simplest case we can even imagine, which is a hydrogen atom where we only have one electron that we're dealing with, and of course, one nucleus.
我也想指出的是,我们能想到的最简单情况,的哈密顿算符,是一个只有一个电子,也只有一个原子核的氢原子。
So, this is exactly how Rutherford did discover that these particles were present and made this new model for the atom that we now know has both a nucleus, and we know the size, and also has electrons.
他提出了一个,新的原子模型,这里面有一个原子核,和一个电子,原子核的尺寸是知道的。
We've got a lot of constants in this solution to the hydrogen atom, and we know what most of these mean. But remember that this whole term in green here is what is going to be equal to that binding energy between the nucleus of a hydrogen atom and the electron.
在这个解中有很多常数,其中大部分我们,都知道它们代表的意思,但记住是这整个绿色的部分,等于核子和电子的结合能。
So in hydrogen atom a, I'll depict that here where the nucleus is this dot, and then the circle is what I'm depicting as the wave function.
在氢原子A里,我在这里把原子核画成一个点,这圆就是波函数。
Similarly, with the second hydrogen atom, we've got the nucleus in the middle, and the 1 s b wave function around it.
类似的,在第二个氢原子里面,我们在中间有原子核,周围有1sb波函数。
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