Laser-induced Coulomb explosion and kinetic-energy spectra measurements of the N2++N2+ and O2++O2+ fragmentation channels were employed to present non-Coulombic states of N24+ and O24+ multicharged ions. The substructure patterns of energy spectra helped in identifying fragmentation channels in same final charge states of the fragments. Higher laser intensities indicated molecular explosions occurs at internuclear distances closer to equilibrium distances and favored higher energetic channels.