As shown in Fig. The localized orbital locator (LOL) solely calculated based on  MOs, namely, LOL-, is a quite popular real space function to reveal the delocalization of  electrons in molecules . Due to its unique sp-hybridized electronic configuration, carbon chains are believed to have two sets of mutually perpendicular π-conjugation systems similar to that of cyclocarbons , and it is conceivable that the two sets of  orbitals are only different in phase. The color-filled maps of LOL- for one of the  systems (LOL- x ) on the plane 0.5 Å above the chains and for another set of  system (LOL- y ) on the plane containing the chains are respectively displayed in Fig.