A theoretical calculation of the aromaticity of benzene relative
to (benzene)Cr(CO)3 (1) based on
the
exaltation of magnetic susceptibility criterion was carried out using
ab initio MO theory. As others have also
found,
benzene exhibits a diamagnetic susceptibility exaltation,
Λcalc = −15.1 ppm cgs, Λexp = −13.7
ppm cgs, and is
aromatic. In contrast, (benzene)Cr(CO)3
(1) has a positive susceptibility exaltation,
Λcalc = 12.3 ppm cgs, characteristic
of an antiaromatic compound. The validity of susceptibility
exaltation as an aromaticity indicator for organometallic
compounds was also tested for
(cyclobutadiene)Fe(CO)3 (16), which
proved to be aromatic (Λcalc = −6.10 ppm
cgs). The validity of the calculations was further supported by a
comparison of the calculated isotropic susceptibility
χav of 1 (−109.3 ppm cgs) with an
experimental result (−113 ± 22 ppm cgs). The related NMR
calculations for 1
reproduce very well the 13C solid state results of Waugh
and also the experimental isotropic upfield shift of ca.
2
ppm seen in the 1H NMR spectra of complex 1
relative to benzene. Contrary to the usual assumptions, the
in-plane
shieldings of the complexed benzene ring are more important than the
perpendicular (ring current) counterparts. As
expected, the present theoretical study reproduces very well the
experimental geometries, energies, and harmonic
frequencies of the purely organic compounds, but there is also very
good agreement in the calculated properties of
the organometallic compounds, where such data are available for
comparison. The present study is based on GIAO,
CSGT, and IGAIM NMR calculations performed on the optimized geometry of
the most stable conformation at the
B3LYP/6-311+G** level for the 12 organic and organometallic compounds
needed directly or indirectly for the
“group increment” magnetic susceptibility exaltation
determinations. The organometallic structures include
Cr(CO)6
(10), (ethylene)Cr(CO)5
(11), (1,3-butadiene)Cr(CO)4
(12), (benzene)Cr(CO)3 (1),
Fe(CO)5 (13),
(ethylene)Fe(CO)4
(14), (1,3-butadiene)Fe(CO)3
(15), and (cyclobutadiene)Fe(CO)3
(16).