We started talking about these on Wednesday, and what we're going to start with is considering specifically the wave functions for multi-electron atoms.
我们从周三开始讨论这些,而且我们将要以特别地考虑,多电子原子的波函数,为开始。
So we can do this essentially for any atom we want, we just have more and more wave functions that we're breaking it up to as we get to more and more electrons.
所以我们基本上对,任何一个原子都可以这么做,我们仅仅会有越来越多的波函数,因为我们将它分为越来越多的电子。
What we are going to say is that the wavefunction for molecular orbitals is going to be an additive sum of the wavefunctions of atomic orbitals.
我想说的是,分子轨道的波函数,就是多个原子轨道,波函数的线性叠加。
So, the wave functions for multi-electron atoms.
所以,对于多电子原子的波函数。
But now we're talking not about an atomic wave function, we're talking about a molecular wave function.
但现在我们不是讨论原子的波函数,我们讨论的是分子的波函数。
So, saying wave functions within molecules might sound a little confusing, but remember we spent a lot of time talking about wave functions within atoms, and we know how to describe that, we know that a wave function just means an atomic orbital.
说分子内的波函数可能,听着有点容易搞混,但记住我们花了很多时间,讨论了原子中的波函数,而且我们知道如何去描述它,我们知道波函数意味着原子轨道。
So on Friday, we'll start with talking about the wave functions for the multi-electron atoms.
在周五,我们要开始讨论,多电子原子的波函数。
So now that we can do this, we can compare and think about, we know how to consider wave functions for individual electrons in multi-electron atoms using those Hartree orbitals or the one electron wave approximations.
现在我们可以做这些了,我们可以对比和考虑,我们知道如何用哈特里轨道,或者单电子波近似去考虑,多电子原子中的单个电子波函数,所以对于我们研究了。
And what we end up forming is a molecular orbital, because as we bring these two atomic orbitals close together, the part between them, that wave function, constructively interferes such that in our molecular orbital, we actually have a lot of wave function in between the two nuclei.
最后我们得到了分子轨道,因为当我们把这两个原子轨道放在一起的时候,它们之间的部分,波函数,相干相加,所以在分子轨道里,我们在两个原子核之间有很多波函数。
So in this case the cross term represents constructive interference between the two 1 s atomic wave functions.
在这种情况下交叉项代表两个,1s原子波函数的相干干涉。
Oh, and actually before you skip your page in the notes, I realized I should write out for you what the addition is to start with. So, when we're combining two waves, 1sb what we have is 1 s a that we're adding together with 1 s for b, the second atom.
在你们翻过这页讲义之前,我觉得我应该写出加法,当我们把两个波函数放在一起时,我们用1sa加上,第二个原子。
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