Just like we see destructive interference with water waves or with light waves, we can also see destructive interference with orbitals.
就像我们看到水波,和光波的相消干涉,我们也可以看到轨道的相消干涉。
We want to integrate. So let's take the integral of both sides, going from the initial point to the final point.
分别从初态,到末态做积分,消去微分。
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。
Europe,which is going to erase these license plates and are going to take away part of what it means to live in France.
欧洲,想要清除这些国别特征,并想抹消属于法国的那部分
And none of this has an S1 in it, so that all goes away.
1在这里面就都消掉了
So the trick is to eliminate time from this equation.
所以这里的技巧就是消去方程中的时间
I know I only need 2, so I can relate dV dV to dp through the ideal gas law.
我只需要两个就够了,因此可以用,理想气体状态方程消去。
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。
The seconds cross out, the kilograms cross out, one of the meters crosses out from the top, so we're left with an answer in meters.
秒消掉了,千克消掉了,单位米和上面的一起约去了,所以我们得到的答案只剩下米。
So if we're subtracting the interference term, what we have here now is destructive interference.
如果我们减去干涉项,我们得到的就是相消干涉。
Their diversity has not been flattened or homogenized by the final editor of the text.
它们的多样性并没有被消弱或统一划齐,被章节最后的编辑者。
R So let's get rid of R in this expression here.
利用这个式子,我们就可以消去。
That's going to get rid of this minus 1 here.
这样就消去了幂次中的。
And really, all you're experiencing there is destructive interference in a very bad way.
我有的,实际上,你们感受的,相干相消的负面影响。
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。
T1 So this is negative T2 over T1 over negative one minus T2 over T1.
除以负1减T2除以1,我可以把这些消掉。
You eliminate them the same way you eliminate them.
你们按照同样的方法消元就行
We divide that by the mass, so 0.12 kilograms, that's the mass of a regulation baseball for the major leagues, and the velocity of the baseball is 42 meters per second. So, we can cross out our units doing our unit analysis.
我们用质量来除它,质量为0,12千克,这是大多数联赛规定的棒球质量,棒球的速度为42米每秒,所以,我们可以消去单位,来做单位分析。
So let's see how we can eliminate time.
我们来看看如何消去它
We can also talk about anti-bonding orbitals where we have destructive interference.
我们也可以讨论,相消干涉的反键轨道。
But first, I just want to remind you when we're talking about molecular orbital theory, this is treating electrons as waves, so what we're actually able to do is either constructively or destructively combine atomic orbitals to form molecular orbitals.
但首先,我要提醒你们,当我们讨论,分子轨道理论的时候,我们把电子看作是一种波,所以我们可以相长叠加,或者相消叠加这些原子轨道来组成分子轨道。
let's use the ideal gas law to get rid of the temperature.
我们用理想气体定律,来消去温度。
Somehow I've gotta get rid of the temperature and make it pressure instead.
应当用压强,来消去温度。
see people with them, and what happens here is it's supposed to be those noise cancellation headphones. All they do is they take in the ambient noise that's around it, and there's actually battery in the headphones, that then produces waves that are going to destructively interfere with that ambient noise.
我从来没有用过这个,但你会看到有人带他们,它们可以作为消噪音耳机,它们所做的就是采入,周围的随机噪声,耳机里面是,有电池的,然后它能产生和,随机噪声相干相消的声波。
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?
so you can eliminate.
这样就可以消去其中一个
So, when you divide by m, m cancels and everything falls at the same rate on the surface of the Earth.
因此,当等号两边除以 m 时,m 被消去了,在地球表面的所有物体,都以相同的加速度下落
So I took this to the other side and I divided through by 2b and the b here cancels.
通过移项和通分成2b,就可以消去b了
So we can actually constructively and destructively combine these waves, these atomic orbitals to make a hybrid.
我们可以相长,和相消叠加这些波,这些原子轨道可以杂化。
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