Carbon vacancies in titanium carbide
- 1 May 1997
- journal article
- Published by IOP Publishing in Modelling and Simulation in Materials Science and Engineering
- Vol. 5 (3), 187-198
- https://doi.org/10.1088/0965-0393/5/3/001
Abstract
We present a simple tight-binding parametrization for TiC that is capable of giving qualitatively accurate results for a range of properties. The systematic procedure used to develop these parameters is described, and the transferability of the model is tested. We use the model to account for the existence of substoichiometric titanium carbide, and the variation of its lattice constant with vacancy concentration. We show that the unusual lattice constant trend arises from the fact that the lattice relaxation around a vacancy is highly localized. The physical origin of this localization is the strongly anisotropic strengthening of bonds around a vacancy, which follows from the quantum mechanical nature of the bonding.Keywords
This publication has 17 references indexed in Scilit:
- Why TiC(111) is observed to be Ti terminatedSurface Science, 1996
- Theory for theRumpled Relaxations at TiC(001) and TaC(001) SurfacesPhysical Review Letters, 1996
- Generating Transferable Tight-Binding Parameters: Application to SiliconEurophysics Letters, 1989
- Total energies and bonding for crystallographic structures in titanium-carbon and tungsten-carbon systemsPhysical Review B, 1989
- Elastic constants and phonon frequencies of Si calculated by a fast full-potential linear-muffin-tin-orbital methodPhysical Review B, 1988
- The tight-binding bond modelJournal of Physics C: Solid State Physics, 1988
- Vacancy induced changes in the electronic structure of titanium carbide—I. Band structure and density of statesJournal of Physics and Chemistry of Solids, 1985
- Valence states of titanium atoms in non-stoichiometric carbides: X-ray emission spectra and cluster calculationsJournal of Physics C: Solid State Physics, 1981
- Theory of energy bands and related properties of 4d transition metals. I. Band parameters and their volume dependenceJournal of Physics F: Metal Physics, 1977
- Low-Temperature Elastic Properties of ZrC and TiCJournal of Applied Physics, 1966