“…[23] Encapsulating or accommodating guest atoms by carbon allotropes,l ike fullerenes, [24] graphenes, [25] and carbon nanotubes, [26] are well-accepted ways to extend the range of applicability.W ec oncentrate here on alkali atoms as guest atoms.T here are many investigations on carbon allotropes with alkali guest atoms, [24][25][26][27][28][29][30][31][32] which show that they possess interesting geometrical and electronic structures and have much potential for applications.H ere,w eb riefly mention solar cells, [33,34] superconductive agents, [35,36] and supercapacitors. [37,38] As shown in our previous accurate numerical studies,t he electronic structures of endohedral alkali fullerenes vary with different sizes of carbon cages and different alkali atoms.E ndohedral alkali fullerenes can form chargeseparated (CS) electronic states [28,31,[39][40][41][42] as well as noncharge-separated states like caged-electron (CE) [32] and splitelectron (SE) [43] states.S urprisingly,t ot he best of our knowledge nothing is known on carbon rings encircling ag uest atom like Li or other alkalies.D os uch endocircular systems exist as stable entities and if yes which kind of electronic states do they support?…”