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So, we'll start by taking a look at constructive interference, and another way to explain this is just to say again, molecular orbitals are a linear combination of atomic orbitals.
我们先来看一看相长干涉，另外一个解释它的方法就是说，分子轨道是原子轨道的组合。
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And all we mean by constructive interference is that literally those two waves add together, such as the maxima are now twice as high, and the minima are now twice as low.
相干相长，相干相长也就是,说两个波加在一起，所以最大值变成2倍那么高，最低值变成2倍那么低。
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Since we're talking about wave functions, since we're talking about the properties of waves, we don't only have constructive interference, we can also imagine a case where we would have destructive interference.
因为我们讨论的是波函数，因为我们讨论的是波的性质，我们不仅有相长干涉，我们也可以想象在,某种情况下会有相消干涉。
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So if we have constructive interference between the two, what we're going to see is our molecular orbital looks something like this.
如果两者是相干干涉，我们看到分子轨道,看起来是这个样子的。
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So we want to have constructive interference to form a bond, where as if we had destructive interference, we would not be forming a bond.
我们需要,相干相长来成键，如果，相干相消了，就不能成键，所以这时候。
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When we were talking about constructive interference, we had more electron density in between the 2 nuclei.
当我们讨论相长干涉的时候，在两个原子核之间有更多的电子密度。
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So let's think of them a little bit more by graphing the amplitude of the wave, and seeing how we can have this constructive interference.
让我们把波的,振幅画出来考虑一下,我们怎么能得到这种相长干涉。
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All right. So we see constructive interference, of course, we can also see destructive interference.
好了，我们看到的是相长干涉，当然我们也会看到相消干涉。
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So in this case where we're adding it together, this is going to be constructive interference.
在这个情况下，我们把它加在一起，这是相干干涉。
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And in either case if we first talk about constructive interference, what again we're going to see is that where these two orbitals come together, we're going to see increased wave function in that area, so we saw constructive interference.
在任何情况下,如果我们首先讨论相长干涉的话，我们同样会看到,当这两个轨道靠拢的时候，我们看到这个区域有波函数增加，所以我们看到的是相长干涉。
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Because if we think about wave behavior of electrons and we're forming bonds, then what we have to do is have constructive interference of 2 different electrons, right, to form a bond, we want to and together those probabilities.
如果我们考虑,电子的波动行为,并且，我们要成键的话,我们要,把，这些概率，加在一起,如果。
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The reason that we can talk about this is remember that we're talking about wave functions, we're talking about waves, so we can have constructive interference in which two different orbitals can constructively interfere, we can also have destructive interference.
我们可以这么说的原因是,记住我们说的是波函数，我们说的是波函数，所以我们可以得到相长干涉,这是两个不同轨道会相长干涉，我们也有相消干涉。
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PROFESSOR: Constructive interference.
相长干涉。
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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。
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So we can draw that for 1 s a, we can also draw it for 1 s b, and what I'm saying for the molecular wave function is that we have the interference between the two, and we have a constructive interference, so we end up adding these two wave functions together.
所以我们可以对1sa画出它来，我们也可以对1sb画出它来，对于分子波函数我要说的是,它们两者之间会干涉，这里我们有相长干涉，所以我们得到的是波两个波函数加起来。
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In this case is it constructive or destructive interference?
在这种情况是相长干涉还是相消干涉？
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