What we have just gone through has been the outline of a very successful
theory of molecular structure and bonding. What has not been covered
is the quantitative calculation of shapes and energies of molecular
orbitals that makes MO theory even more attractive. We began by
abandoning the concept of a "bond" and looking at the entire molecule
at once. It is perhaps fortunate for our computational sanity that
such a procedure usually is excessive with larger molecules, and
that the approximation of localized molecular orbitals and two-atom
bonds can be used instead. Adding the concepts of hybridization
and single, double, and triple bonds provides the framework of a
theory that can explain most molecules. One important class of molecules
that cannot be explained in terms of two-atom bonds is the organic
aromatic molecules, mentioned briefly in Chapter 4. Benzene, CH,
is the most familiar example. It has six carbon atoms in a regular
hexagonal ring, with all carbon-carbon bonds 1.39 Å long,
which is intermediate between single and double bond lengths. Each
carbon has one C-H bond of normal length. The skeleton of benzene
is shown.