In this paper, we investigate the structure and elastic properties of cubic phase CrN using the plane wave pseudopotential density functional theory method. The results coincide well with the experimental and theoretical values. Using quasi-harmonic debye model, we calculate the thermodynamic properties of CrN and obtain the relationship of volume with the change of the pressure under the different temperature, in addition to the pressure/temperature-dependent behaviours of the debye temperature, heat capacity , entropy and internal energy.
