In the first period, we made a considerable effort to identify ETMD in the experimentally relevant systems and to provide theoretical assistance to experimentalists who investigated this process. A number of large-scale experiments were performed fully confirming our theoretical predictions. ETMD was clearly demonstrated in rare gas clusters, and its study led to better understanding of the chain of ultrafast relaxation process set off by ionizing radiation. Its identification in solutions and hydrogen bonded systems has proved to be more difficult. Due to the complexity of such biologically relevant environment, the experiments proceed in stages. While ETMD was demonstrated in a groundbreaking experiment in LiCl solution, so far mostly the processes such as Auger decay and interatomic Coulombic decay, which like ETMD are parts of relaxation cascades, were investigated. In addition, in an important step to studying electron capture in chemical media we developed an ab initio approach, which allows us to compute ICEC cross sections in experimentally amenable systems. The work on the interatomic decay also led to the theoretical formulation of a new vibrational energy transfer process, which accelerates the rate of vibrational relaxation in molecules in the presence of atomic or molecular anions by several orders of magnitude.