HOMA (Harmonic Oscillator Model of
Aromaticity) is a simple, successful,
and widely used geometrical aromaticity index. However, HOMA can also
be used as a general molecular descriptor appropriate for any type
of molecule. It reaches the global maximum for benzene, whereas the
potent magnetic aromaticity NICS index has no lower or upper limits.
Hence, questions arise and go beyond mere differences between the
geometric and magnetic aspects of aromaticity: (1) Does a molecule
of aromaticity greater than that of benzene, but undisclosed by the
HOMA definition, exist? (2) Can the Kekuléne cyclohexatriene
moiety with HOMA = 0 exist as a part of a larger system? (3) Can the
geometrical aromaticity index be defined better? Our answer to the
first query is “It is not likely enough”, to the second,
“Why not define HOMA using a less mysterious molecule than
cyclohexatriene?”, and to the third, “It is possible
to construct another fair geometrical index, but is it better for
evaluating aromaticity?” To find these answers, we have studied:
(1) the HOMA and NICS indices of over 50 hexahomosubstituted benzenes,
(2) the HOMA, as well as EN and GEO, indices of over 100 triply fused
hexasubstituted benzenes, and (3) the HOMA and new Geometrical Auxiliary
Index (GAI) , of different unsaturated and saturated, aromatic and
aliphatic hydrocarbons including all alkane constitutional isomers
composed of up to nine carbon atoms.