高温极限。
So that's the low temperature limit.
那就是低温极限。
高温极限。
Namely, the low temperature limit is zero.
也就是，低温极限是零。
So now let's look at the high temperature limit.
那么现在我们来看看高温极限。
You immediately go to the high temperature limit.
你马上就达到高温极限。
And we've seen what the high temperature limit is.
高温极限下振动部分我们见过。
We're in the low temperature limit for vibrations.
我们用低温极限处理振动。
Then you have the same high temperature limit to it.
然后你对它有相同的高温极限。
What was the low temperature limit of the heat capacity?
热容的低温极限是什么？
So we know it's got to be zero at the low temperature limit.
它应该是零,我们知道低温极限下。
And I'm going to assume we're in the high temperature limit.
假设我们，在高温极限。
The maximum temperature limit is based on the Gasket material.
最大的温度界限以垫片材料为基础。
And in the low temperature limit, now go to the opposite limit.
对于低温的极限，即相反的极限。
So in the high temperature limit we can easily calculate things.
因此在高温极限下，我们可以很简单进行计算。
There's only one allowed possible state in the low temperature limit.
只有一种允许的可以被占据的态，在低温极限下。
So in the high temperature limit, the energy does change with temperature.
所以在高温极限下，能量随温度变化而变化。
So the energy doesn't change with temperature in that low temperature limit.
所以能量不随温度改变，在低温极限。
And we know that it's this constant value in the high temperature limit.
它是常数，我们知道在高温极限时。
So the high temperature limit, physically, is one that's simple to understand.
因此高温极限，从物理的角度是容易理解的。
I'm at the low temperature limit for the molecular vibrations of nitrogen or oxygen.
在低温极限下，对于氮或氧的分子振动。
And in the other case in the low temperature limit, now let's say kT is really low.
对于另一种情况，在低温极限，现在比方说kT很低。
Now it turns out that that high temperature limit doesn't just obtain for vibrations.
现在结果证明高温极限,不仅只适用于振动。
So even in the high temperature limit, we don't have them, there's not a maximum total energy.
以在高温极限下，我们没有他们，没有最大温度。
The limiting factor in valve selection is the lowest temperature limit of the packing or seat.
阀门选型的考虑因素之一是填料或阀座的最高温度限制。
The vibrational frequencies are usually high, so that you're not in the high temperature limit.
的振动频率一般比较高，所以通常我们都不能用高温极限。
But what we've found is that in the high temperature limit, we had the equipartition of energy result.
但是我们会发现在高温极限下，我们可以得到能量均分原理。
What'll happen in the high temperature limit might vary, depending on the structure of the energy levels.
在高温极限下，不同自由度的配分函数会有不同，这依赖于他们具体能级结构。
So du/dT isn't going to be zero in the high temperature limit, in this case. But it stops changing at some point.
所以du/dT在这样的高温极限下不会是零,但它在某一点就不再变化。
But if we're in the low temperature limit, maybe we're in such low temperature that only the lowest possible state is occupied.
如果我们考虑低温极限，比如温度是如此的低以至于，只有能量最低的状态可以被占据。
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