- #1
Rajini
- 621
- 4
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
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