Normalization of debye

  • Thread starter Rajini
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Hi Members,
We know that in Debye model, the phonon spectrum is given by g([tex]\omega[/tex])=Const.[tex]\omega^2[/tex]. And if we have N atoms and so 3N normal modes..so 3N=integral of g([tex]\omega[/tex])d[tex]\omega[/tex] and solving by simple integration rule we get Const. = 9N/([tex]\omega^3_D[/tex]).
Now my problem is how to get it Normalized equation..g([tex]\omega[/tex])=???(1).
In books i see g([tex]\omega[/tex])=3[tex]\omega^2[/tex]/[tex]\omega^3_D[/tex].
I just need to know how to derive g([tex]\omega[/tex])=3[tex]\omega^2[/tex]/[tex]\omega^3_D[/tex]???
Please explain me clearly every step for such derivation..And in general how to normalizes a function step by step ???
thanks for your time!!
and eagerly waiting for your reply
 

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