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Solid state physics: phonon density of state

  1. Dec 16, 2011 #1
    1. The problem statement, all variables and given/known data

    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)=?)

    2. Relevant equations
    D(ω)=Ʃδ(ω-ω[itex]_{i}[/itex])

    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
     
  2. jcsd
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