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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。
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All right, so that's what we're going to cover in terms of the energy portion of the Schrodinger equation.
好，这就是我们要讲的,关于薛定谔方程能量的部分。
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The Schr?dinger equation will give us the energy levels in molecules.
薛定谔方程会告诉我们,分子中的能级。
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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。
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And thanks to our equation simplified here, it's very easy for us to figure out what actually the allowed energy levels are.
由于有了简化的方程，我们很容易看出,这些允许的能级在那里。
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Let's quantify the energy value. If you go through and solve for energy, you will get this equation.
我们来确定一下能量值，如果你试图寻找,解决能量问题，你能得到一个方程式。
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We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.
我们看过波函数，我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能，所以我们来看一看。
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So we can use an equation to relate the incident energy and the kinetic energy to the ionization energy, or the energy that's required to eject an electron.
因此我们可以用一个公式将入射能量,与动能和电离能，就是发射出一个电子所需要的能量关联起来。
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That makes sense because we're losing energy, we're going to a level lower level, so we can give off that extra in the form of light. And we can actually write the equation for what we would expect the energy for the light to be.
这很合理，因为我们在损失能量,我们要到一个更低的能级去,我们要以光的形式给出额外的能量,我们可以写下光能量的方程。
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All right. So that's all I'm going to say today in terms of solving the energy part of the Schrodinger equation, so what we're really going to focus on is the other part of the Schrodinger equation, psi which is solving for psi.
好，今天关于薛定谔方程,能量部分的解，就讲这么多，我们今天真正要关注的,是另一部分，薛定谔方程，也就是解。
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So if we want to solve for ionization energy, we can just rearrange this equation.
因此，要想解出电离能，我们只需要将这个方程中的项变换一下位置。
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We can also talk about it in terms of if we want to solve, if we, for example, we want to find out what that initial energy was, we can just rearrange our equation, or we can look at this here where the initial energy is equal to kinetic energy plus the work function.
初始能量是多少，也可以,写成另一种形式,我们可以把方程变形,或者我们看这里,初始能量等于,动能加功函数。
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So, therefore, we can rewrite our equation in two ways. One is just talking about it in terms only of energy where our kinetic energy here is going to be equal to the total energy going in -- the energy initial minus this energy of the work function here.
所以我们可以把方程,写成两种形式，一个是,只考虑能量，动能等于总的,入射能量-初始能量减去,功函数的能量，我们如果想解决,比方说，我们想知道。
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Then we would be able to change our equation to make it a little bit more specific and say that delta energy here is equal to energy of n equals 6, minus the energy of the n equals 2 state.
第一激发态，我们就可以把方程,变得更具体一点，能量差,等于n等于6能量，减去n等于2的能量。
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So we know that we can relate to z effective to the actual energy level of each of those orbitals, and we can do that using this equation here where it's negative z effective squared r h over n squared, we're going to see that again and again.
我们知道我们可以将有效电荷量与,每个轨道的实际能级联系起来，我们可以使用方程去解它,乘以RH除以n的平方,它等于负的有效电荷量的平方,我们将会一次又一次的看到它。
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So, if we just rearrange this equation, what we find is that z effective is equal to n squared times the ionization energy, IE all over the Rydberg constant and the square root of this.
我们可以发现有效的z等于n的平凡，乘以电离能除以里德堡常数,这些所有再开方，所以等于n乘以,除以RH整体的平方根。
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So as I tried to say on the board, we can have n equals 1, 1/2 but since we can't have n equals 1/2, we actually can't have a binding energy that's anywhere in between these levels that are indicated here. And that's a really important point for something that comes out of solving the Schrodinger equation is this quantization of energy levels.
我在这要说的是，我们可以让n等于，但不能让n等于,我们不能得到在这些标出来的,能级之间的结合能，能级的量子化,是从解薛定谔方程中,得到的很重要的一点。
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