Electron elastic scattering off endo-fullerenes*

The given presentation highlights the physically transparent, relatively simple, and yet reasonably complete approximation to the problem of low-energy electron elastic scattering off endohedral fullerenes $A$@C$_{N}$ along with corresponding findings unraveled on its basis. It is believed that, as of today, the highlighted results provide the most complete information about features of $e + A@{\rm C_{N}}$ elastic scattering brought about by the fullerene-cage-related, correlation-related, and polarization-related impacts of the individual and coupled members of the $A$@C$_{60}$ target on the scattering process. Each of the impacts is shown to bring spectacular features into $e + A@{\rm C_{60}}$ scattering. A remarkable inherent quality of the developed approximation is its ability to account for mutual coupling between electronic excited configurations of C$_{N}$ with those of the encapsulated atom $A$ without reference to complicated details of the electronic structure of C$_{N}$ itself. Spectacular effects in the scattering process, primarily associated with polarization of $A$@C$_{60}$ by an incident electron, are thoughtfully detailed both quantitatively and qualitatively in a physically transparent manner for ease of understanding and convenience of the audience.