What that suggests is that actually the simplest and most natural connection between Q and macroscopic thermodynamics is to the Helmholtz free energy.
这暗示我们，最简单最自然的联系，在Q和宏观热力学两之间，是和亥姆霍兹自由能的联系。
What this is telling us is that we just have a chemical potential, of Helmholtz free energy per molecule.
这告诉我们的是，我们只有化学势，每个分子的亥姆霍兹自由能。
So I can in a very straightforward way say, OK, well, here is my Helmholtz free energy.
所以我可以很直接的说，这就是我的亥姆赫兹自由能。
So it becomes interesting, then, to figure out, how can we write the Helmholtz free energy in terms of the canonical partition function?
这就让我们开始思考，要怎么来表示亥姆霍兹自由能,用正则配分函数？
And so that led us to the definitions of other energy quantities, the Helmholtz and Gibbs free energy.
这就要求我们定义，其他的和能量相似的物理量，亥姆赫兹和吉布斯自由能。
In other words, now I know how to tell how the Helmholtz free energy changes as a function of temperature.
换句话说，我现在知道如何写出亥姆赫兹，自由能作为温度的函数。
In other words, now I know how to tell how the Helmholtz free energy changes as a function of temperature.
换句话说，我现在知道如何写出亥姆赫兹，自由能作为温度的函数。
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