Can the Planck equation be derived by considering phonons?

[Austin Daniel]

As far as I understand, phonons are just thermal vibrations of atoms in a lattice and blackbody radiation is just the radiation emittied due to thermal oscillations accelerating the atoms back and forth. Is there any example of a derivation of the Planck equation from considering black body radiation as a combination of these two principles?

 

[nasu]

The phonons in a solid at thermal equilibrium follow the Plank distribution as well.
I don't see what are the "two principles" you mention in the OP.
The Plank distribution ca be derived from quantum statistical considerations, applied to bosons.