On the lattice dynamics of grey tin

The lattice dynamics of grey tin is studied by fitting a Born-von Karman model to the experimental neutron scattering data of Price and Rowe. In agreement with earlier conclusions drawn for Ge, it is found that fifth neighbor interactions are essential for achieving a good fit. New information is obtained concerning the values of the elastic constants and the Σ₂, Σ₄ branches of the dispersion curves. The density of phonon states is calculated employing the analytical integration method of Gilat and Raubenheimer. Calorimetric data for α-Sn agree reasonably with the results of the computation.