Lattice Dynamics of Face Centred Cubic Crystals
Yusra A. Sade *
Department of Physics, Umaru Musa Yar’adua University, Katsina, Katsina State, Nigeria.
Garba Babaji
Department of Physics, Bayero University Kano, Kano State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Lattice dynamics of fcc metal crystals have been studied within the harmonic approximation. Phonon dispersion relation (frequency as a function of wave vector) along the symmetry directions [100], [110] and [111], density of states and the heat capacity have been calculated for Aluminum, Copper and Lead using lattice dynamics model debye. The results obtained were compared with results from neutron scattering experiment. The calculated results of phonon dispersion relations as well as the heat capacities are generally in good agreement with the experimental results.
Keywords: Lattice dynamic, density of states, dispersion relation, harmonic approximation, heat capacity.