The structures of hypercoordinate square-pyramidal carbocations were calculated at the correlated MP2/6-31G* level. The 13 C NMR chemical shifts of the cations were also calculated using IGLO and GIAO-MP2 methods. The IGLO calculated data show only a reasonable correlation with the experimental 13 C NMR chemical shifts. The correlated GIAO-MP2 calculated 13 C NMR shifts, however, showed significant improvements over the SCF IGLO calculated chemical shifts. It was also found that among the C 8 H 9 + isomers, the bishomo square-pyramidal cation 7 is only 0.2 kcal/mol more stable than the trishomocyclopropeniumtype ion 8 at the MP4(SDQ)/6-31G*//MP2/6-31G* + ZPE level. Almost a calculated 1:2 equilibrium mixture of ions 7 and 8 seems to best represent the experimental NMR spectrum of C 8 H 9 + at -80 °C. The structures and 13 C NMR chemical shifts for the elusive (CH) 5 + 1 and its monomethyl-substituted analogues 2 and 3 were also computed.