Phonon density of states for GaN

D(ω) [1015 s/rad m-3]

ω [1012 rad/s]

The density of GaN is 6.15 g/cm³. The mass of an gallium atom plus a nitrogen atom is 83.7297×1.66054×10-27 kg. The density of GaN pairs is 4.423×1028 1/m³. Each atom has three degrees of freedom so the integral over all frequencies is 6×4.423×1028 m-3 =  2.654×1029.

ω [rad/s] D(ω) [s rad-1m-3]