So, there's actually another way to graph it where we can directly graph the dissociation energy or the bond strengths.
其实,还有另外一种画这个曲线的方式,可以直接画出离解能的大小,或者键的强度。
And we can actually better visualize this if we plot how that energy changes as a function of internuclear distance.
而我们就能更清楚地看到这些,如果我们画出,能量随核间距的变化曲线。
I should be able to do nice bell-shaped curves, but it's harder than it looks standing up here; so that's your bell-shaped curve.
我还是挺擅长画钟型曲线的,但站着画真的不太容易,这就是钟型曲线
So for an irreversible process, I wouldn't really be allowed to put a path there.
不可逆过程,是无法画出路径曲线来的。
So, what this lets us do now is directly compare, for example, the strength of a bond in terms of a hydrogen atom and hydrogen molecule, compared to any kind of molecule that we want to graph on top of it.
因此,这让我们现在可以做到直接进行比较,比如,将一个氢原子,和一个氢分子的键的强度,与任何其它类型的分子进行比较,我们只需要把它的曲线也画在这幅图上。
So, the example that we took on Monday and that we ended with when we ended class, was looking at the 1 s orbital for hydrogen atom, and what we could do is we could graph the radial probability as a function of radius here.
周一我们,最后讲到了,粒子是氢原子1s轨道,我们可以画出,这幅径向概率分布曲线。
If it was non-reversible, I would be allowed to put an initial point and a final point, but I wouldn't be allowed to put a path between them like this, connecting them together.
如果是不可逆过程,我可以画出过程的初态点,和末态点,但是我不能再像这样,画出连接这两个点的,路径曲线来。
So, let's, for example, look at nitrogen. So n 2, we can do the chart here in green, so it's the green dotted line, and what we see is that we have now defined this energy as where the 2 nitrogen atoms are separated.
那么,让我们举个例子,看一下氮,那么氮分子,我们可以把它用绿色曲线画在这,这是绿色的虚线,可以看到,我们已经定义为零点能,当两个氮原子分离时。
Irving Fisher also drew on the curve a production possibility frontier for society, which he made downward-curved.
欧文·费雪还画了一条曲线,代表了社会的生产可能性边界PPF,这是一条向下的曲线
Then, if n = 100--now I'm going to label this x differently, I'm now going to show the normal bell-shaped curve and I'm going to do this from 0 to .4.
如果n=100,现在我得重新标x值,我现在要画正态分布的钟形曲线了,在这儿用0到0.4
So, if we look at this graph where what we're charting is the internuclear distance, so the distance between these two hydrogen atoms, as a function of energy, -- what we are going to see is a curve that looks like this -- this is the general curve that you'll see for any covalent bond, and we'll explain where that comes from in a minute.
因此,如果我们来看一看这幅曲线图,这里我们画的横坐标是核间距,也就是这两个氢原子之间的距离,纵坐标是能量,我们看到的这是能量关于核间距的曲线-,这是一条普遍的曲线,在研究任何共价键时你都会遇到,我们马上就会解释一下它是怎么来的。
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