All-electron Dirac-Fock-Slater SCF calculations of the Au2 molecule ha
ve been carried out using relativistic numerical atomic basis function
s. In order to get a numerically accurate potential energy curve an im
proved calculation of the direct Coulomb potential has been taken into
account. The relativistic effect in the binding energy, the bond dist
ance and the vibration frequency of the ground state potential energy
curve have been studied in comparison with consistent non-relativistic
results.