Lattice Dynamics of Hexagonal Close-Packed Metals. II. Frequency Spectrum

Abstract
The frequency distribution spectrum of the normal modes of vibration for a hexagonal close‐packed metal has been approximated by a root sampling technique applied to a central force model of the lattice. The calculation is made for magnesium with force constants obtained from the low temperature elastic constants. The calculated specific heat of magnesium from 0°K to 100°K is in quite good agreement with experiment. Other hexagonal metals are considered in terms of a reduced plot of θ (the equivalent Debye temperature) versus temperature.