Topological resonance energy (TRE) and bond resonance energy (BRE) methods were applied to all the open structure isomers (both cations and anions) of C₃₆CH₂ to investigate their aromaticity. The calculations show that stabilities of C₃₆CH₂ isomers are closely associated with the BRE of D_6h and D_2d cages. Among the D_6h and D_2d isomers of C₃₆, the most stable isomers are those with the CH₂ added to the 5-5 bond. C₃₆CH₂ cations have antiaromaticity with negative resonance energy, whereas C₃₆CH₂ anions have aromaticity with positive resonance energy. It was theoretically predicted that polyvalent anions of C₃₆CH₂ had high stability and aromaticity.

Key words: topological resonance energy method, bond resonance energy, aromaticity, C₃₆, C₃₆CH₂