Suppose for some quantity x we have a derivative with respect to temperature (dx/dT)P, i.e. at constant pressure. Can we somehow link it to a derivative with respect to volume, at, let’s say, constant temperature, i.e. (dx/dV)T? This is just an example and I’m wondering, maybe there are some universal rules, which enable to perform such substitutions?
The best approach that I have seen for obtaining relations between thermodynamic variables is the one discussed in the textbook by R. DeHoff (Thermodynamics in Materials Science).
JC Zhao had a paper on this topic in MRS Bulletin 2009 that you can also check.
I'd like to thank everyone, who answered my question. The Maxwell relations are actually what I was looking for, although I've known about it before, but not as much as in the text provided by prof. Miguel A F Sanjuán. And yet these relations are not quite universal, but I guess such "ultra" general relations are not possible.
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