AbstractA calculation of the implicit shift to the phonon energies for phonons in deuterated naphthalene atq=0is presented, the “explicit shift” having been already described in an earlier paper. With this the calculation of the shift in the phonon energies due to temperature becomes complete and consistent, ready for direct comparison with the measured results of the shift obtained by neutron scattering experiments. The results for the total calculated shift in the phonon energies, arising from both, the explicit anharmonic terms and the implicit (i.e. the volume dependent) shift are presented and compared with the experimental neutron scattering results. The calculations of thermal expansion, compressibility, and the Grüneisen constants which naturally enter the calculation of the implicit shift, are also described and a comparison with the experimental neutron scattering results of these also is made. All the results are very satisfactory, strengthening the faith in the assumption for the model of the molecular crys