Temperature-dependent ultrasonic attenuation due to phonon–phonon (p–p)
interaction, thermoelastic loss and dislocation damping due to screw and edge
dislocations were investigated in fcc (NaCl B1 type) structured group-IVb and Vb
monocarbides (transition metal carbides, namely TiC, ZrC, HfC, VC, NbC and
TaC) at 50 to 500K, along the three crystallographic directions of propagation,
namely [100], [110] and [111] for longitudinal and shear modes of propagation.
The second-and third-order elastic moduli obtained at different temperatures using
the electrostatic and Born repulsive potentials and taking interactions up to nextnearest
neighbours, were used to obtain Gruneisen numbers, acoustic coupling
constants and their ratios along different directions of propagation and polarization
for longitudinal and shear modes of wave propagation. The temperature variation
of the phonon relaxation time exhibited exponential decay.
Ultrasonic Attenuation Due to Phonon–Phonon Interaction, Thermoelastic Loss
and Dislocation Damping in Transition Metal Carbides. R.K.Singh, R.P.Singh,
M.P.Singh, P.C.Srivastava: Journal of Physics - Condensed Matter, 2008, 20[34],
345227