Lattice dynamics in the alpha-phase of the IVB transition elements
Abstract
Inelastic neutron scattering techniques were used to study the temperature dependent lattice dynamics of titanium and hafnium in the hep (alpha) phase. The dispersion curves as well as their temperature dependence were investigated in order to obtain information about the temperature dependence of the thermophysical properties of these elements as well as the change with temperature of the electronic response to the nuclear motions. The results show a significant softening of the phonon modes as the temperature is increased for all branches of the dispersion curves except the 001LO zone-center mode. This mode increase in frequency with increasing temperature. These features of the dispersion curves if both metals bear a striking resemblance to zirconium. The lattice specific heat at constant pressure was evaluated as a function of temperature. The unusual temperature dependence of the LO001 zone center mode and the large decrease in the frequencies of the other model with increasing temperature for the IVB elements is explained on the basis of their unique electronic structure near the Fermi surface.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1980
- Bibcode:
- 1980PhDT........21A
- Keywords:
-
- Hafnium;
- Inelastic Scattering;
- Lattice Parameters;
- Spin-Lattice Relaxation;
- Thermophysical Properties;
- Titanium;
- Band Structure Of Solids;
- Crystal Lattices;
- Metal Crystals;
- Temperature Dependence;
- Solid-State Physics