Development of orthogonal tight-binding models for Ti-C and Ti-N systems
E. Margine, A. Kolmogorov,
M. Reese, , C. Elsässer,
B. Meyer, R. Drautz, D. Pettifor
Physical Review B,
Band 84 (2011), 155120
We develop p-d orthogonal tight-binding (OTB) models for the description of TiCx and TiNx compounds in the 1.0 > x > 0.5 composition range. For the parametrization of bond integrals we use a recently developed method allowing projection of the one-electron wave functions obtained within the density functional theory onto optimized atom-centered orbitals. The performance of the OTB models is investigated for a wide range of properties: binding energy of elements and compounds, density of states, formation energy of vacancy-ordered defects, elastic constants, and phonon dispersions. The models provide a good description of the ground state properties at 1:1 composition and show a fair transferability for various atomic environments in elemental and binary phases.