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Chemistry · Ch 15 — Hydrocarbons

Aromatic character (Huckel Rule)

15.4.3

Aromatic character (Huckel Rule)

Benzene's characteristic preference for substitution reactions over addition reactions is not unique to benzene alone -- it is a general property, called aromaticity or aromatic character, shared by a whole family of compounds, and it arises from extensive CYCLIC delocalisation of pi electrons within a planar ring. Three conditions together define whether a given cyclic compound qualifies as aromatic. First, the compound must be cyclic and planar, meaning every atom in the ring must be sp2-hybridised (so that each one has an available, unhybridised p-orbital). Second, each ring atom's p-orbital must be able to line up parallel to its neighbours, so that continuous, unbroken overlap is possible all the way around the ring -- if even one ring atom is sp3-hybridised and therefore has no p-orbital at all, the overlap chain is broken and the compound cannot be aromatic no matter how many pi electrons it has. Third, and only once the first two structural conditions are satisfied, Huckel's rule applies: the cyclic pi molecular orbital system formed by this overlap must contain (4n+2) pi electrons, where n is any whole number (0, 1, 2, 3, and so on). Applying these three rules to worked examples clarifies how they interact: benzene (cyclic, planar, a p-orbital on every carbon, 6 pi electrons from 3 double bonds, satisfying 4n+2=6 with n=1) is aromatic; naphthalene (the same three structural conditions met, 10 pi electrons from 5 double bonds, satisfying 4n+2=10 with n=2) is aromatic; pyridine (a six-membered ring with one nitrogen in place of a CH, still 6 pi electrons in the ring system, with nitrogen's lone pair sitting in a separate, non-participating sp2 orbital rather than contributing to the count) is likewise aromatic; but cycloheptatriene, despite technically having 6 pi electrons from its three double bonds (a number that WOULD satisfy Huckel's rule), is non-aromat …

Misc Huckel-worked-examplesApplying Huckel's rule to benzene, naphthalene, pyridine and cycloheptatriene

Worked out. Benzene: cyclic, planar, one p-orbital per carbon, 3 double bonds so 6 pi electrons; 4n+2=6 gives n=1, an integer, so benzene is aromatic. Naphthalene (the fused two-ring system): cyclic, planar, one p-orbital per carbon, 5 double bonds so 10 pi electrons; 4n+2=10 gives n=2, an integer, so naphthalene is aromatic. Pyridine (a six-membered ring with one nitrogen replacing a CH): 3 double bonds giving 6 pi electrons in the delocalised system, while nitrogen's non-bonding lone pair sits in a separate sp2 orbital in the ring plane and does NOT count toward the pi system; 4n+2=6 gives n=1, an integer, so pyridine is aromatic. Cycloheptatriene (a seven-membered ring): cyclic and planar overall, with 3 double bonds giving 6 pi electrons, BUT one ring carbon is sp3-hybridised (the -CH2- carbon) and so has no p-orbital at all, breaking the continuous overlap required all the way around the ring -- so despite having 6 pi electrons (a number that would satisfy 4n+2), cycloh …