Lattice vibrations and Debye-Waller factors in f.c.c. metals

Abstract

Frequencyvs. wave vector dispersion relations along three principal symmetry directions [00ζ], [0ζζ] and [ζζζ] and temperature variation of Debye-Waller factors in five face-centred cubic metals, copper, silver, gold, nickel and aluminium, have been computed on the basis of a lattice-dynamical model which considers short-range pairwise forces effective up to second neighbours and long-range Coulomb forces on the lines of Krebs model, and also describes the ionic lattice to be in equilibrium in a medium of electrons. A comparison of theoretical results obtained with the experimental findings indicates that the model gives a reasonably satisfactory description of the lattice-dynamical behaviour in face-centred cubic metals.