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。
These are all one electron atoms, and they are gas, a single atom.
这些都是单电子原子,它们都是气体,都是单原子。
So now we can go back and think about filling in these electron configurations for any atom.
实用现在我们返回来再考虑,关于填充任意原子,电子构型的问题。
So let's compare what some of the similarities and differences are between hydrogen atom orbitals, which we spent a lot of time studying, and now these one electron orbital approximations for these multi-electron atoms.
很长时间的氢原子轨道和,现在多电子原子中,的单个电子轨道近似,我们可以对比,它们之间,的相似性和不同。
So, basically any time we have a really high positive number of electron affinity, it means that that atom or ion really wants to gain another electron, and it will be very stable and happy if it does so.
因此,基本上无论什么时候,只要我们有一个很大的正的电子亲和能,这就意味着这个原子,或离子非常希望得到一个电子,如果它得到了,会变得更稳定更开心。
The best suggestion is just to write it out completely for the neutral atom, and then you want to take an electron out of the highest orbital.
最好的办法是先写出它所对应,中性原子,然后再从,能量最高的轨道上拿走一个电子。
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。
You start with liquid metal one, liquid metal two, you have the atom ratios proper, they mix, electron transfer occurs and poof, it is clear and colorless. Sorcery.
从液态金属一,液态金属二开始,你有合适的原子比例,混合它们,电子转移发生且被证实了,产物是透明无色的,有点辣味。
The first thing we need to do is write the electron configuration for the atom itself, and then we need to take an electron away.
首先我们要做的是,写出原子的电子排布,然后,我们再拿走一个电子。
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。
And there again is another difference between multi-electron atom and the hydrogen atoms.
在多电子原子和氢原子,之间还有一个区别,当我们谈论多电子原子轨道时。
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, shielding happens when you have more than one electron in an atom, and the reason that it's happening is because you're actually canceling out some of that positive charge from the nucleus or that attractive force with a repulsive force between two electrons.
所以当你们在原子中有多于一个电子,屏蔽就会发生,它之所以会发生的原因是,你们实际上抵消了,一些来自原子核的正电荷,或者来自吸引力,在两个电子之间。
And we can look at precisely why that is by looking at the equations for the energy levels for a hydrogen atom versus the multi-electron atom. So, for a hydrogen atom, and actually for any one electron atom at all, this is our energy or our binding energy.
而且我们可以精确地看看,为什么是这样的,通过看对于氢原子和,多电子原子能级的方程所以对于氢原子,事实上对于任何一个电子,这是我们的能量或者我们的结合能。
But there's also a way to get rid of the volume part and actually talk about the probability of finding an electron at some certain area within the atom, and this is what we do using radial probability distribution graphs.
除去体积部分,来讨论,在某些区域内,发现一个原子的概率,我们可以,用,径向概率分布图,它是。
And if we talk about what's going on in areas, or with atoms that have high electronegativity, and we think about whether they're electron donors or electron acceptors, what would you expect for an atom that has high electronegativity?
如果我们要讨论这片区域的情况,或者说讨论这些电负性很高的原子,我们会把它们想象成电子的施主,还是受主?,大家认为哪一种,是电负性很高的原子?
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, let's take a look here at an example of an energy diagram for the hydrogen atom, and we can also look at a energy diagram for a multi-electron atom, and this is just a generic one here, so I haven't actually listed energy numbers, but I want you to see the trend.
所以让我们来看看,一个例子氢原子的能量图,我们也可看看一个,多电子原子的能量图,这是一个普通的图谱,我没有列出能量的数字,但是我想让你们看这个趋势。
And the first is l, and l is angular momentum quantum number, and it's called that because it dictates the angular momentum that our electron has in our atom.
第一个就是l,l是,角动量量子数,叫它这个名字,是因为它表明,原子中,电子的角动量是多少。
So, why don't you take a look at this and tell me which are possible for a 2 s electron in a lithium atom where z 3 is going to be equal to three?
你们为什么不看一下这个然后告诉我对,于一个锂原子中的2s电子哪些是可能,的?它的有效电荷量,可能等于?
So what we end up with is one radial node for the 2 s orbital of hydrogen, and we can apply that for argon or any other multi-electron atom here, we also have one radial node for the 2 s orbital of argon.
那意味着它们都是径向节点,所以我们得出的结论是,氢的2s轨道是1个径向节点,我们可以将它应用,到氩或者任意一个多电子原子,对于氩的2s轨道。
So, essentially when we're talking about these equations up here, all we're doing is talking about the regular Rydberg formulas, but instead we could go back and re-derive the equation for any one electron atom, which would just mean that we put that z squared term in the front.
所以本质上,当我们讨论,这些问题时,我们说的是常规的,Rydberg公式,但对任何其他单电子原子,我们不用,从头再推到,而是仅仅把,z平方项放在前面。
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