DFT calculations with B3LYP and PBE0 functionals have been carried out to determine the structural parameters, vibrational frequencies, and quadrupole moments of double-decker heavy lanthanide phthalocyaninates Pc₂Lu, (Pc₂Lu)⁺, (Pc₂Lu)^–, Pc₂Yb, (Pc₂Yb)⁺, and (Pc₂Yb)^–. Free valence of the Pc moiety [0.5 in Pc₂Lu and Pc₂Yb; 1.0 in (Pc₂Lu)⁺ and (Pc₂Yb)⁺] is delocalized in small fractions over the carbon atoms. The Pc₂Lu и Pc₂Yb molecules have a high electron affinity (3.2 eV) and a low ionization potential (6.1–6.3 eV). Calculations predict formation of quadruple-decker supercomplex Yb(Pc₂Lu)₂ from two Pc₂Lu molecules and an Yb atom via an exothermic process. The equilibrium structure of the molecules and ions can be characterized by D_4d point symmetry group.