The work accomplished within the Research Programme aroused attention of international community both on the theoretical and the applied level of research. On the former level, we contributed to the understanding of mass and charge transport within solid ionic and mixed conductors, especially through or along their boundaries and surfaces. We developed a general equivalent circuit describing this transport and, on this basis, explained several experimental phenomena, including a newly-discovered one. We importantly contributed to the development of microelectrode impedance spectroscopy and were among the first who applied this technique to the field of lithium batteries. We invented and patented two new technological procedures for preparation of cathodes and anodes for lithium batteries. Furthermore, we prepared a new type of electrode material based on a porous monolith and decorated with a few nanometre-thick carbon film. Such a material's architecture facilitates the use of materials with low intrinsic electronic and/or ionic conductivities. Finally, we showed that incorporation of lithium into MoS2-based nanotubes proceeded in a different way than in MoS2 layered crystals. REMARK: These results were obtained with a yearly financing of only 2 FTE by the Ministry of Education, Science and Sport.