Potentially trishomoaromatic cations possessing the 6-X-bicyclo[3.1.0]
hex-3-yl (X = CH2, BH, NH, O) or bicyclo[3.2.0]hept-3-yl unit have bee
n investigated at the Hartree-Fock, second-order, third-order, and fou
rth-order (single, double, quadruple excitations) Moller-Plesset pertu
rbation level employing the 6-31G(d) basis set. IGLO/6-31G(d) chemical
shift calculations have been carried out at optimized geometries. Thr
ough-space interactions between the symmetric Walsh orbital of the thr
ee-membered ring and p pi(C3) orbital have been analyzed as a function
of orbital energies and orbital overlap. The best indicators for tris
homoaromaticity are NMR chemical shifts and magnetic susceptibility. T
here is a simple relationship between the conformation of the trishomo
cyclopropenylium cation, its charge distribution, and delta(13)C3, whi
ch can be used to determine the conformation or the C1C3 interaction d
istance from NMR measurements. Trishomocyclopropylium cations investig
ated can rearrange to an envelope form of higher energy where the heig
ht of the inversion barrier and the chair-envelope energy difference a
re a measure for the homoaromatic stabilization energy. The bicyclo[3.
1.0]hex-3-yl cation in its envelope form can rearrange with a barrier
of just 1 kcal/mol to the bicyclo[3.1.0]hept-2-yl cation. In the case
of the bicyclo[3.2.0]hept-3-yl cation, there exists just the envelope
form, which can rearrange to a ethano-bridged center-protonated spiroc
yclopentyl cation. The later cation should be an interesting target of
chemical synthesis since it contains a pentacoordinated carbon atom a
nd possesses unusual properties.