But it is interesting. Let's just, for an order of magnitude say what happens for ground state electron in atomic hydrogen?
但行星模型其实挺有趣的,按照重要的先后顺序,我们来猜想一下,氢原子中的基态电子会发生些什么?
So we saw that our lowest, 1 0 0 our ground state wave function is 1, 0, 0.
我们看到最低的,或者基态波函数是。
In other words, just want to know where the electron is somewhere within the shell radius of the ground state of atomic hydrogen anywhere.
换言之,我只是想知道,电子在哪,可以在氢原子基态下的半径,里面的任何地方。
Now, if this incident energy is great enough it will take an electron out of the ground state and promote it.
现在,如果入射能足够的话,它会将一个电子从基态中释放出来,并且加速它。
We're always talking about the ground state unless 1 we specify that we're talking about an excited state.
我们指定说讨论激发态,而且对于电子。
Well, the energy at infinity is zero -K and the energy in the ground state is minus K.
无限远处的能量值为,而基态能量值为。
It is the value of the radius of the ground state electron orbit in atomic hydrogen.
它就代表氢原子基态电子,的轨道半径。
So, we can think about what is it that we would call the ground state wave function.
我们来考虑一下,基态的波函数,是怎么样的。
We know how to write that in terms of the state numbers, 1 0 0 so it would be 1, 0, 0, because we're talking about the ground state.
我们知道如何去,写出态数字,它是,因为我们在讨论基态,我们总是讨论基态除非。
So this is our complete description of the ground state wave function.
所以这是我们,对基态波函数的完整描述。
So what you can see is again, we've got this ground state.
你们可以看到,这是基态。
s And this is the ground state, n equals one.
这是最低能级。
So, if we're talking about five different orbitals and we're talking about a ground state atom, we know that we just need to start at the bottom and work our way out up.
因此,如果我们要讨论的是,五个不同的轨道且是属于一个基态原子的话,我们知道,我们只需要从最低的轨道,开始一个一个往上找。
What is the binding energy of the ground state electron in hydrogen?
氢在基态的情况下,它的电子结合能是多少?
And this lowest orbit is termed the ground state.
这个最低轨道被称作基态。
That is the ground state energy of atomic hydrogen.
同时也是氢原子基态的能量值。
Suppose the E incident is greater than the energy in the transition going from ground state n=2 What will happen?
假设入射能量远远大于,从基态向,转变的能量。,to,n,equals,two。,那会发生什么?
So another way to say that is, in a sense, if we're thinking about the excited state of a hydrogen atom, the first excited state, or the n equals 2 state, what we're saying is that it's actually bigger than the ground state, or the 1 s state of a hydrogen atom.
换句话说,如果我们激发一个氢原子,第一激发态或者说n等于2的态,我们说它比氢原子基态,或者说1s态要大。
We knew from Friday, when we talked about energy, that ground state was that n equals 1 value, that was the lowest energy, that was the most stable place for the electron.
我们上周五知道了,在讨论能量的时候,基态指,n等于1的态,它能量最低,是,最稳定的态。
So we are going to put atomic hydrogen Z equals one, 1 ground state n equals one.
氢原子Z等于,基态n也等于。
It is telling us that the ground state in lithium would be Z squared.
它告诉我们锂原子的基态,是z的平方。
If you look at the ground state in two different systems -If you look at the ground state which is n equals one, think about this, if I increase the proton charge, the Coulombic force of attraction is greater.
如果你观察两个不同系统的基态,当你观察n,等于1的基态时,试想一下,如果我增加质子电荷,相互吸引的库仑力就会更大。
So if we go to the ground state, what you see is we're at that lowest energy level, and we only have one possibility for an orbital, because when n equals 1, that's all we can do.
如果我们在基态上,你可以看到,我们在能量最低的态上,只有一种,可能的轨道,因为n等于1,只有这种可能。
l But now we need to talk about l and m as well. So now when we talk about a ground state in terms of wave function, we need to talk about the wave function of 1, 0, 0, and again, as a function of r, theta and phi.
但我们现在需要讨论,和m,现在当我们讨论,波函数的基态时,我们讨论的,是1,0,0的波函数,同样的,它也是r,theta和phi的函数。
This is called the ground state, n equals one.
这被称作基态,n等于1时。
The ionization energy must then be nothing more than, that is the energy to go from the ground state here to n equals infinity, so that would be the energy at state infinity minus the energy of the ground state.
这个电离能一定不会大于,从基态到n为无限大时的能量,而是等于,无限远处的能量减去基态能量。
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