  We refit the NRL tight binding parameterization for Aluminium by Mehl
\emph{et al} [Phys. Rev. B, 61, 4894 (2000)], to a database generated via full
potential Linearized Augmented Plane Wave (LAPW) Density Functional Theory
(DFT) calculations. This is performed using a global optimization algorithm
paying particular attention to reproducing the correct order of the angular
symmetries of the tight binding fcc and bcc bandstructure. The resulting
parameterization is found to better predict the hcp phase and both the stable
and unstable planar stacking fault defect energies.
