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For a previously published study of the titanium hcp (alpha) to omega (omega)transformation, a tight-binding model was developed for titanium thataccurately reproduces the structural energies and electron eigenvalues fromall-electron density-functional calculations. We use a fitting method thatmatches the correctly symmetrized wavefuctions of the tight-binding model tothose of the density-functional calculations at high symmetry points. Thestructural energies, elastic constants, phonon spectra, and point-defectenergies predicted by our tight-binding model agree with density-functionalcalculations and experiment. In addition, a modification to the functional formis implemented to overcome the "collapse problem" of tight-binding, necessaryfor phase transformation studies and molecular dynamics simulations. Theaccuracy, transferability and efficiency of the model makes it particularlywell suited to understanding structural transformations in titanium.Comment: 9 pages, 8 figures, 5 table

Empirical tight-binding model for titanium phase transformations