Six of the eleven possible cyclic isomers (CH)(2)B2N2 are found, by geometr
ic optimization at a correlated level of theory, to have planar closed-shel
l ground states. Current density maps calculated with distributed-origin co
upled Hartree-Fock theory wavefunctions show that all six of these have del
ocalized pi-electron systems supporting diamagnetic ring currents. In compa
rison with benzene at the same level of theory, the isomer with lowest ener
gy, 1,3,2,4 diazadiborinine, has a 5% greater centre of ring shielding, but
20-25% smaller mean magnetizability, mean polarizability and polarizabilit
y anisotropy.