Cf. Rodriquez et al., BENZYL, 9-FLUORENYL AND DIPHENYLMETHYL CATIONS - STRUCTURES AND RELATIVE STABILITIES BASED ON HYDRIDE TRANSFER-REACTIONS, Journal of molecular structure. Theochem, 363(2), 1996, pp. 131-138
Ab initio molecular orbital calculations are reported at HF/6-31G(d,p)
and MP2(fc)/6-31G(d) for the diphenylmethyl (I), 9-fluorenyl (II) and
benzyl (III) cations, and for the hydrocarbons diphenylmethane (IV),
fluorene (V) and toluene (VI). Structure optimisations have been perfo
rmed at both levels of theory and all critical points were characteris
ed by harmonic frequency calculations at the Hartree-Fock level. Based
on hydride transfer reactions, one phenyl group is calculated to stab
ilise the methyl cation by 74.3 kcal mol(-1), and a second phenyl adds
a further stabilisation of 25.1 kcal mol(-1). The 9-fluorenyl cation
is intermediate in stability between the diphenylmethyl and benzyl cat
ions, but is closer to the diphenylmethyl cation.