Debye-Einstein approximation approach to calculate the lattice specific heat and related parameters for a Si nanowire

The modified Debye-Einstein approximation model is used to calculate nanoscale size-dependent values of Gruneisen parameters and lattice specific heat capacity for Si nanowires. All parameters forming the model, including Debye temperatures, bulk moduli, the lattice thermal expansion and the lattice volume, are calculated according to their nanoscale size dependence. Values for lattice volume Gruneisen parameters increase with the decrease of the nanowires' diameter, while all other parameters decrease. The nanosize dependence of lattice thermal parameters agree with other reported theoretical results.