The problem of the existence of two Kekule isomers 1a and 1b of cyclobutadi
eno-p-benzoquinone is addressed by the CAS(10,10)/6-31G*//GVB(2)/6-31G* and
CASPT2(10,10)/ANO(3s2p1d,2s1p)//GVB(2)/6-31G* theoretical models. It is sh
own that the barrier separating these isomers on the Born-Oppenheimer surfa
ce practically disappears if the zero-point vibrational energies are taken
into account. The angular strain and antiaromaticity of the more stable iso
mer 1a are estimated by employing the appropriate homodesmic reactions. It
is concluded that 1a should be experimentally isolable, albeit in extreme c
onditions.