** Next:** Einstein Model of Crystals
**Up:** Solid State
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Quantum description: only portions of , with are allowed! Energy:

We say that the system has
System might have as many phonons, as it wants *(Bose-Einstein
statistics).*^{}

Geometric progression: We have:

**Einstein Temperature:**- Let . Then
is
*Einstein temperature.*

Free energy:

Entropy: Energy: Heat capacity:If

we obtain Then energy and heat capacity are This is exactly classical result!

© 1997

Wed Oct 1 00:45:35 EDT 1997