Phonon density of states for AlN

D(ω) [1015 s/rad m-3]

ω [1012 rad/s]

The density of AlN is 3.26 g/cm³. The mass of an aluminum atom plus a nitrogen atom is 40.98×1.66054×10-27 kg. The density of AlN pairs is 4.79×1028 1/m³. Each atom has three degrees of freedom so the integral over all frequencies is 6×4.79×1028 m-3 = 2.87×1029.

T = 295 K