Abstract
The electronic band structure, density of states, structural phase transition, and superconducting transition temperature under normal and high pressures are reported for titanium ( Ti ). The normal pressure band structure and density of states of hcp- Ti agree well with the previous calculations. The high pressure band structure exhibits significant deviations from the normal pressure band structure due to s, p → d transition. On the basis of band structure and total energy results obtained using full potential linear muffin-tin orbital method (FP LMTO), we predict a phase transformation sequence of α (hcp) → ω (hexagonal) → γ (distorted hcp) → β (bcc) in titanium under pressure. From our analysis we predict a δ (distorted bcc) phase which is not stable at any high pressures. According to the present calculation, at normal pressure, the superconducting transition of hcp- Ti occurs at 0.36 K which is in agreement with the experimental observation of 0.4 K. When the pressure is increased, it is predicted that, Tc increases at a rate of 3.123 K/Mbar in hcp- Ti . On further increase of pressure Tc begins to decrease at a rate of 1.464 K/Mbar.
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