Thermodynamics, Statistical Physics, and Quantum Mechanics

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Now the free energy FforNsuch classical molecules may be found from

The entropy isthen

and the energyEand heat capacityCare

d) For the quantumcase theSchrödinger equation for a rigidrotator

where each of the energy states is The partition func-

tion isgiven by

For low temperatures we mayneglecthigh-order terms and write

where we leftonlytermswith and ForNmolecules we find
for the free energythat

admits the standardsolution

SOLUTIONS