B. Reindl et al., MODERN MOLECULAR MECHANICS AND AB-INITIO CALCULATIONS ON BENZYLIC ANDCYCLIC DELOCALIZED CATIONS, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 102(45), 1998, pp. 8953-8963
Calculations of optimized force field (MMP2 extended to carbocations)
and ab initio (MP2/6-31G) geometries as well as pi-electron densities
of various benzyl and cyclic delocalized cations agree well. The MMP2
heats of formation reproduce the available experimental values. MMP2
pi-resonance energies are consistent with those obtained by isodesmic
equations from experimental and ab initio data. When carbon pi-charges
are lower than 0.2, the influence of phenyl substituents is attenuate
d. Thus, the triphenylmethyl cation resonance stabilization value (-41
.6 kcal/mol average for each phenyl ring) is much less than that of th
e benzyl cation (-76.4 kcal/mol) and the benzhydryl cation (average st
abilization value of -51.4 kcal/mol). MMP2 aromatic stabilization ener
gy estimates of the benzyl and tropylium cations as well as benzene ag
ree well with the assessments of aromaticity by the nucleus independen
t chemical shift (NICS) criterion, which is based on the magnetic shie
ldings computed at ring centers. The MMP2 method allows quantitative e
valuations of homoconjugative interactions. The stabilization in the h
omotropylium cation due to 1,7 homoconjugative overlap is estimated to
be quite appreciable, -13.4 kcal/mol.