Our molecular partition function.
我们的分子配分函数。
This is the electronic partition function.
这是电子的配分函数。
In the configurational partition function.
在构型配分函数中。
It's called the canonical partition function.
称为正则配分函数。
OK. So this is your molecular partition function.
好,这就是分子配分函数。
And the system partition function is labeled big Q.
系统的配分函数用Q标记。
Now, qi is just the total molecular partition function.
现在qi是分子总配分函数。
We also know what the vibrational partition function is.
我们也知道振动能的配分函数。
So the molecular partition function is labeled little q.
这里分子的配分函数用q标记。
So now let's figure out our molecular partition function.
现在我们来计算分子的配分函数。
So we're always writing some molecular partition function.
我们总是写下,一些分子的配分函数。
Unnamed objects such as partition function parameters.
未命名对象,如分区函数参数。
So so far, we've written for translation partition function.
我们写过了平动的配分函数。
You can also look at the molecular partition function itself.
对单个分子的配分函数本身也适用。
We can write the partition function as a sum over energy level.
我们可以把配分函数写成,对能级的求和。
You also have the system partition function for the configurations.
同样的,对构型部分,也是分子构型配分函数的N次方。
Then you can have a partition function for each of these degrees of freedom.
都有对应的配分函数,每个自由度。
Q And now the total system partition function is the multiplication of these two.
总配分函数,是这两者之积。
Q And now we have our capital Q, our canonical configurational partition function.
现在我们有我们的大,我们的正则构型配分函数。
so what's our molecular partition function for this configurational degree of freedom?
配分函数是什么,这些构型的?
Partition Function defines the range of values to be stored on different partition.
分区函数定义了位于不同区间的值存储在不同的分区上。
Not only that, again, we could get this directly from the molecular partition function up there.
不仅如此,再一次,我们能配分函数,从上面的分子。
So last time, then, you saw how from the canonical partition function, you could get something like the energy.
上节课我们看到了如何,从正则配分函数导出,内能等量。
Evaluate the partition function as and check that the result agrees with the standard geometric series sum.
估算配分函数为并检查结果与标准的几何级数和一致。
Also notice one of the other results that you've seen is that you could relate the partition function to a, right?
同时要注意你们曾经看到的另一个结果,是你们可以将,配分函数和A关联起来对吗?
And what that means is, in the partition function, which is a sum over all these terms with these Boltzmann factors.
这意味着,配分函数,是带波耳兹曼常数的各项之和。
Like I promised, we're going to be able to derive every thermodynamic quantity if we just know the partition function.
就像我说过的,我就可以计算所有的热力学量,如果我知道了配分函数。
In other words, if I have an expression for Q, I know the partition function, and I can calculate it at any temperature.
换句话说,如果我得到了Q的表达式,知道了配分函数,我可以计算它在任意温度下的数值。
Q And then, big Q, the canonical partition function for the whole system, it's something that we've been through before.
然后,大,整个系统的正则配分函数,这是我们之前探讨过的。
Through this model and using finite temperature field theory, we can write down the partition function of the system.
通过这一模型加上虚时温度场论就可以写出核物质系统的配分函数。
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