Da. Papaconstantopoulos et Mj. Mehl, THE TIGHT-BINDING METHOD FOR INTERPOLATING FIRST-PRINCIPLES TOTAL-ENERGY RESULTS, Journal of phase equilibria, 18(6), 1997, pp. 593-597
This paper presents a new tight-binding method for the evaluation of t
he total energy in solids. The method is calibrated to reproduce a lim
ited set of first-principles results and is able to interpolate betwee
n different structures, at a cost which is orders of magnitude less th
an that required to do first principles calculations on the same syste
ms. The new method has been tested on all transition metals and found
to produce elastic constants, vacancy formation energies, surface ener
gies, and phonon spectra in very good agreement with first-principles
calculations and experiment. The extension of this scheme to transitio
n metal aluminides is in progress and preliminary results using CoAl a
s a prototype system are presented.