Frequency spectra of body-centered cubic lattices

Abstract

A Born-von Karman model has been used to determine the frequency spectrum for a body-centered cubic lattice. The model used contains noncentral angular stiffness forces as well as central forces between nearest and next-nearest neighbors. Frequency distributions have been calculated for vanadium and compared with experimental frequency distributions available from slow neutron experiments. Qualitative agreement was found between the shapes of the experimental and theoretical distributions. The calculated maximum frequency for vanadium was within 2% of that derived from the experimental frequency distribution. Dispersion curves for iron were also calculated, and were found to be in good agreement with experiment. © 1964 The American Physical Society.