This isn't a homework question. I'm studying this from a book (Thermal Physics by Kittel & Kroemer) currently. Up til now I've had no problem following it. There's one derivation that's got me a little stumped however. I had thought my calculus was proficient enough, but I'm just not seeing something here and it's very frustrating. Y'know how it is when you just can't let yourself continue until you get past this tiny hurdle :grumpy:(adsbygoogle = window.adsbygoogle || []).push({});

Anyway here it is scanned from the book:

http://www.maths.tcd.ie/~cockburd/thermo.gif

The equation circled is the bit I'm having trouble with, I see where he's going with putting it in that form but I can't see how he got that equation from the one immedietly prior..

by the way:

Fis helmholtz free energy,

Zis the partition function,

Uis the average energy of the ensemble,

tau is the fundamental temperature and

sigma is the entropy

Thanks

Declan

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Strange derivation: Statistical thermodynamics

**Physics Forums | Science Articles, Homework Help, Discussion**