Calculate the Debye cut-off frequency and Debye temperature for GaAs where the sound velocity is 5.6 105 cm/s.

The measured specific heat of BAs is listed below. Calculate the Debye temperature and Sommerfeld coefficient of BAs. BAs has a Zinc blende crystal structure. The lattice constant a = 4.77.
T (K) 10.16746
9.1824 8.02179 7.00969 5.92316 5.00525 4.52552 4.09263 3.58026 3.03138 2.73827 2.56217 2.24382 2.02849
Cp( J/m3/K) 871.9282 651.5106 431.093 297.7464 183.8843 113.8621 90.11548 67.58661 48.8871 32.87017 26.25862 23.00886 17.56533 14.93494

Calculate the Debye cut-off frequency and Debye temperature for GaAs where the sound velocity is 5.6 105 cm/s. Assume that the volume of the unit cell is 4.39 10-23 cm-3. GaAs has a Zinc blende crystal structure.