Dispersion relations for cubical crystal lattice in the dipole-dipole interactions model

The authors researched oscillations of monoatomic crystal lattices, caused by the Van der Waals forces. They developed a dynamic model and obtained equations depicting the oscillations of the monoatomic cubic lattices in the adiabatic approach. The authors evaluated forced constants of the dynamic model through the elastic constants of the substance and obtained the dispersion relations without any free parameters. The authors also provide the theoretical and experimental dispersion curves for Na and Al.