The Möbius
rule predicts that a planar four-membered
metallacycle
can be aromatic with four mobile electrons, but such a simple ring
has escaped recognition because it usually favors Hückel anti-aromaticity.
Here, we report that a quasi-square four-membered actinide compound
(Pa2B2) is doubly Möbius aromatic. Chemical
bonding analyses reveal that this diboron protactinium molecule has
four delocalized π electrons in addition to four delocalized
σ electrons, satisfying the 4n Möbius rule for both σ
and π components. Energetically, the block-localized wavefunction
method, which is the simplest variant of ab initio valence bond theory,
shows that the delocalization energy for the π and σ electrons
reaches up to 65.0 and 72.3 kcal/mol, respectively, while the extra
cyclic resonance energy (ECRE) amounts to 45 kcal/mol. The large positive
ECRE values strongly confirm the unprecedented double Möbius
aromaticity in Pa2B2. We anticipate that this
new type of aromatic molecule can enrich the concept of Möbius
aromaticity and open a new avenue for actinide compounds.