Abstract: The invention relates to fullerenes and other fullerene-like caged molecular structures in a special hydrated state. The above-mentioned hydrated compounds can be described by the following general formulae: (xAi@CNBjM)@{m(OH)?nH2O}m?mH+, (xAi@CNBjM)y@{m(OH)?nH2O}m?mH+, where x?0, N>0, M?0 or x?0, N?0, M>0, m >1, n>1, y>1. Furthermore, xAi denotes that x atoms of any chemical elements and/or possible combinations with one another (Ai) are located within a caged structure CNBJM, which may consist of N atoms of carbon and M atoms of any other chemical elements and/or possible combinations Bj thereof. The formula @{m(OH)?nH2O}m?mH+ indicates that the caged structures are enclosed in a shell of m+n molecules of water, and that the caged structure is in a special hydrated state, in which, upon dissociation of the water, the m(OH)? anions thereof are directly bonded to the caged structure and strongly secured on the surface thereof by donor-acceptor bonds.