The total energy of the lowest 1Πu, 3Πu, 1Πg, 3Πg states of H2 was minimized in an extended Hartree-Fock procedure employing a double configuration wavefunction. The exponents of the basis functions 1 s, 2 s, 2 pσ, 2 pπ, 3 dπ were optimized separately for all four states at various internuclear distances. The results show that the exponents are strongly state and distance dependent. They cannot be generally represented by atomic or equilibrium values. The details of the optimization process are presented. © 1972 Springer-Verlag.