# Homework Help: Solid state physics: phonon density of state

1. Dec 16, 2011

### Pistike

1. The problem statement, all variables and given/known data

There is a Ar cube crystal with Lenard jones potential: V$^{L.J.}$=-$\alpha$/r$^{6}$+$\beta$/r$^{12}$

We know the volume V, the parameters of the L.J. potential, and the mass of the Ar atom (m$_{Ar}$).
Determine the phonon density of state. (D(ω)=?)

2. Relevant equations
D(ω)=Ʃδ(ω-ω$_{i}$)

3. The attempt at a solution

I have no idea what to do with the given lenard jones potential, and its parameters. How should I calculate the dispersion relation?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution