Dispersion relations and lattice thermal expansion of dysprosium

The lattice dynamics, second and third order elastic constants and the lattice thermal expansion of dysprosium have been calculated using Keating's approach. The ten third order elastic constants are calculated using four anharmonic parameters. The present model reproduces the measured pressure derivatives of the second order elastic constants of dysprosium well. The low and high temperature limits γ̄I and γ̄H of the lattice thermal expansion are evaluated and the agreement between the calculated γ̄H and that obtained from the thermal expansion and specific heat data is satisfactory. © 1973.