So when we talk about orbitals in multi-electron atoms, they're actually lower in energy than the corresponding h atom orbitals.
它们的能量实际上,比对应的氢,原子轨道要低。
So, this allows us to look at a bunch of different atoms, of course, limited to the fact that it has to be a 1 electron atom.
所以这让我们可以研究很多原子,只要它们都只有一个电子。
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 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。
Lithium 2plus is a one electron atom.
锂二正离子是单电子原子。
It is a one electron atom.
它是一个单电子原子。
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。
We can also look at the energy equation now for a multi-electron atom.
我们也可以看到现在对于,一个多电子原子的能量方程。
So when we talk about the size of multi-electron orbitals, they're actually going to be smaller because they're being pulled in closer to the nucleus because of that stronger attraction because of the higher charge of the nucleus in a multi-electron atom compared to a hydrogen atom.
所以当我们讨论,多电子轨道的尺寸,它们实际上会变得更小,因为多电子原子的原子核,相比于氢原子,有更高的电荷量所以,有更强的吸引力,所以可以拉的更近。
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。
This is a one electron atom.
这里有一个单电子原子。
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。
A kind of consequence of this is if we're thinking about a multi-electron atom, which we'll get to in a minute where electrons can shield each other from the pull of the nucleus, we're going to say that the electrons in the s orbitals are actually the least shielded.
这样的一个后果就是,如果我们考虑一个多电子原子,我们等会就会讨论到它,电子会互相,屏蔽原子核的吸引,我们说s轨道电子,更不容易被屏蔽。
So for example, if you look at the 1 s orbital here, you can see that actually it is lower in the case of the multi-electron atom than it is for the hydrogen atom.
所以举例来说,如果你看到这里的1s轨道,你可以看到实际上,多电子原子情况的。
z So the main idea here is z effective is not z, so don't try to plug one in for the other, they're absolutely different quantities in any case when we're not talking about a 1 electron atom.
所以这里主要的观点是有效的z不同于,所以不要尝试将一个插入到另一个,当我们不在讨论1个电子的原子时,它们在任何情况下是绝对不同的量子数。
For example, for the 2 s, again what you see is that the multi-electron atom, its 2 s orbital is lower in energy than it is for the hydrogen.
举例来说对于2s轨道,在多电子原子,中可以看到,它的2s轨道的能量低于氢原子的。
Again the 2 p orbitals for the multi-electron atom, lower in energy than for the hydrogen atom.
p轨道能量,多电子原子的,低于氢原子的。
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。
We're going to get to more complicated atoms eventually where we're going to have more than one electron in it, but when we're talking about a single electron atom, we know that the binding energy is equal to the negative of the Rydberg constant over n squared, so it's only depends on n.
我们以后会讲到,更加复杂的情况,那时候,不只有一个原子,但当我们讲,单个原子的时候,我们知道结合能,等于,负的Rydberg常数,除以n平方,所以它仅仅由n决定的。
If the atom is fixed mass, the electron is tiny, It must be the positives have all the mass.
如果是原子质量一定,电子很小,带正电荷的部分几乎占据了全部质量。
z So, this is what we find the actual z effective is for an electron in the helium atom.
所以这就是我们得到了实际有效的,对于一个氦原子的电子。
Sometimes we have a very electronegative atom that's going to take more of its equal share of electron density.
有时候我们会有一个电负性很高的原子,它将会获取更多的共用电子密度。
Electron affinity is actually the ability of an atom, or we could also talk about an ion to gain electrons.
电子亲和能其实就是一个原子,或者我们也可以讨论离子获取电子的能力。
So we can actually pop an electron or eject an electron from any single orbital that is occupied within the atom.
任何一个被占据轨道,打出一个电子,或者说发射出一个电子。
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。
One of the main difference is is that when you're talking about multi-electron orbitals, they're actually smaller than the corresponding orbital for the hydrogen atom.
其中最主要的区别之一,是当你讨论多电子轨道时,它们实际上,要比对应的氢原子轨道,要小一些。
And when we take the wave function and square it, that's going to be equal to the probability density of finding an electron at some point in your atom.
当我们把波函数平方时,就等于在某处,找到一个电子的概率密度。
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。
So you can think about how these 2 things combined are going to be electronegativity, which is a measure of how much an atom wants to pull electron density away from another atom.
因此你可以想象出,这两样性质合起来就是电负性,也就是一个度量,关于一个原子,有多希望把另一个原子的电子密度拉过来的。
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