Abstract
Ab-initio density functional perturbation theory (DFPT) study of pure graphene has been performed to study the phonon dispersion curve. The Specific heat at constant volume has been calculated and has been compared with theoretical and experimental results. The dynamical matrix has been calculated using VASP software under both simple DFT and DFPT approximation. The phonon frequencies have been calculated using phonopy code under harmonic approximation. The phonon frequencies are then used in calculating dispersion curve and specific heat at constant volume which is in reasonable agreement with available theoretical and experimental results for pure graphene. The specific heat of pristine graphene at constant value has been found to be 1.3 J g(-1)K(-1).