Atoms, MoleculesZeitschrift a n d C l u s t e r s ffJr Physi k D © Springer -Verlag 1990 Case studies in multiphoton ionisation and dissociation of Na2 Dissociative ionisation of Na2 via the 3s 3d 1Sg and 1//g states has been studied in the near threshold energy regime up to 120 meV above the three particle (Na ÷ +Na(3s) + e-) break up limit. A pulsed, cold molecular beam, pulsed laser 2 colour 3 photon resonantly enhanced multiphoton ionisation, and kinetic energy analysis of the fragments by a time of flight method (KETOF) is used. As series of vibrational levels in the two intermediate 3s 3d Rydberg states are excited, slow Na + fragments are observed with a maximum kinetic energy given by the excess energy of the 2 + 1 photon process above threshold, thus confirming a direct dissociative ionisation process. The intensity distribution of the Na + fragments shows a very pronounced maximum at zero kinetic energy, its shape differing somewhat for the 1Sg and ~Hg intermediate states. Also observed is a strong signal of fast fragments arising from a typical 4 photon process which leads to dissociation of Na~ molecules in their electronic ground state.