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Solid state physics: phonon density of state

  • Thread starter Pistike
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Homework Statement



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

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

Homework Equations


D(ω)=Ʃδ(ω-ω[itex]_{i}[/itex])

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?

Homework Statement





Homework Equations





The Attempt at a Solution

 

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