  Ab initio calculations and a direct method have been applied to derive the
phonon dispersion curves and phonon density of states for the TiC crystal. The
results are compared and found to be in a good agreement with the experimental
neutron scattering data. The force constants have been determined from the
Hellmann-Feynman forces induced by atomic displacements in the 2x2x2 supercell.
The calculated phonon density of states suggests that vibrations of Ti atoms
form acoustic branches, whereas the motion of C atoms is confined to optic
branches. The elastic constants have been found using the deformation method
and compared with the results obtained from acoustic phonon slopes.
