Partition functions#

The equipartition theorem, Einstein’s vibrational heat capacity, Gibbs’s canonical-ensemble route from a partition function to every thermodynamic function, and the Sackur-Tetrode translational entropy.

Einstein’s quantum theory of the vibrational heat capacity

Einstein's quantum theory of the vibrational heat capacity

The equipartition theorem, and why only one mode actually “freezes out”

The equipartition theorem, and why only one mode actually "freezes out"

Gibbs’s canonical ensemble: all thermodynamics from one partition function

Gibbs's canonical ensemble: all thermodynamics from one partition function

The Sackur-Tetrode entropy of a monatomic gas

The Sackur-Tetrode entropy of a monatomic gas