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Concept 05 / 07Hydrocarbons

Benzene and Aromaticity: Structure, Resonance, Huckel's Rule and Preparation

Kekule structure and its limitations, resonance and molecular orbital picture of benzene, equal C-C bond lengths and resonance energy from heats of hydrogenation, Huckel's (4n+2) pi electron rule for aromaticity with aromatic, antiaromatic and non-aromatic examples, preparation of benzene, and addition and combustion reactions.

Figure 1
Benzene, C6H6\mathrm{C_{6}H_{6}}, is highly unsaturated on paper (DBE 44) yet does not decolourise bromine water or Baeyer's reagent; it prefers substitution to addition. This special stability is aromaticity. Structure. Kekule (1865) proposed a six-membered ring with alternating single and double bonds, rapidly oscillating between two forms. But benzene gives only one ortho-disubstituted product, and all six C-C bonds have the same length, 139 pm139\,\mathrm{pm} (between C-C 154154 and C=C 134 pm134\,\mathrm{pm}). The modern description: benzene is a resonance hybrid of the two Kekule structures. In orbital terms, each carbon is sp2sp^{2} (planar, 120∘120^{\circ}), and the six unhybridised p orbitals overlap all round the ring to form a continuous π\pi cloud above and below the plane, holding six delocalised electrons. It is drawn as a hexagon with a circle. Resonance energy (see figure). Hydrogenating cyclohexene releases 120 kJ mol−1120\,\mathrm{kJ\,mol^{-1}}; a hypothetical cyclohexatriene would release 3×120=3603 \times 120 = 360. Benzene releases only about 208208, so it is about 150 kJ mol−1150\,\mathrm{kJ\,mol^{-1}} more stable: the resonance (delocalisation) energy. Huckel's rule. A compound is aromatic if it is cyclic, planar, fully conjugated (every ring atom has a p orbital) and contains (4n+2)(4n + 2) π\pi electrons (n=0,1,2,…n = 0, 1, 2, \ldots: 22, 66, 1010, 1414). Aromatic: benzene (66), naphthalene (1010), anthracene (1414), cyclopentadienyl anion (66), cycloheptatrienyl (tropylium) cation (66), cyclopropenyl cation (22), pyridine (66), pyrrole, furan and thiophene (66, including a lone pair on the heteroatom). Antiaromatic (cyclic, planar, conjugated with 4n4n π\pi electrons, extra unstable): cyclobutadiene (44), cyclopentadienyl cation (44). Non-aromatic: not fully conjugated (cyclopentadiene, with an sp3sp^{3} carbon) or non-planar (cyclooctatetraene, 88 electrons, adopts a tub shape to avoid antiaromaticity). Preparation of benzene. Decarboxylation: C6H5COONa+NaOH→C6H6+Na2CO3\mathrm{C_{6}H_{5}COONa + NaOH \rightarrow C_{6}H_{6} + Na_{2}CO_{3}} (soda lime). Reduction of phenol by zinc dust: C6H5OH+Zn→C6H6+ZnO\mathrm{C_{6}H_{5}OH + Zn \rightarrow C_{6}H_{6} + ZnO}. Cyclic polymerisation of ethyne over red-hot iron at 873 K873\,\mathrm{K}. Industrially from coal tar and by catalytic reforming (aromatisation) of petroleum fractions. Reactions other than substitution. Addition under drastic conditions: C6H6+3H2→C6H12\mathrm{C_{6}H_{6} + 3H_{2} \rightarrow C_{6}H_{12}} (Ni, high temperature and pressure); C6H6+3Cl2→C6H6Cl6\mathrm{C_{6}H_{6} + 3Cl_{2} \rightarrow C_{6}H_{6}Cl_{6}} (UV light, 500 K500\,\mathrm{K}; benzene hexachloride, BHC, whose γ\gamma isomer is the insecticide gammaxene or lindane). Combustion with a sooty flame (high carbon content): 2C6H6+15O2→12CO2+6H2O\mathrm{2C_{6}H_{6} + 15O_{2} \rightarrow 12CO_{2} + 6H_{2}O}. Key Takeaways: - All C-C bonds 139 pm139\,\mathrm{pm}; six delocalised π\pi electrons; resonance energy about 150 kJ mol−1150\,\mathrm{kJ\,mol^{-1}}. - Huckel: cyclic, planar, fully conjugated, (4n+2)(4n + 2) π\pi electrons. - Cyclopentadienyl anion and tropylium cation are aromatic; cyclobutadiene is antiaromatic; cyclooctatetraene is non-aromatic. - Benzene prefers substitution, adding only under forcing conditions. - Pitfall: count lone pairs in the ring π\pi system only if they sit in a p orbital perpendicular to the ring (pyrrole's N lone pair counts; pyridine's does not). Brain-Teaser 1: Classify as aromatic, antiaromatic or non-aromatic: cyclopentadienyl anion, cyclopentadienyl cation, cyclopentadiene, tropylium cation. Solution: Cyclopentadienyl anion: 66 π\pi electrons, planar, conjugated: aromatic (hence cyclopentadiene is unusually acidic). Cation: 44 π\pi electrons: antiaromatic. Cyclopentadiene: one sp3sp^{3} carbon breaks conjugation: non-aromatic. Tropylium cation: 66 π\pi electrons over seven carbons: aromatic. Brain-Teaser 2: How many π\pi electrons does pyrrole have in its aromatic sextet, and why is pyrrole a much weaker base than pyridine? Solution: Pyrrole has four electrons from two C=C bonds plus the N lone pair (66 total), so its lone pair is part of the aromatic sextet; protonating it would destroy aromaticity, making pyrrole a very weak base. In pyridine the N lone pair lies in the ring plane in an sp2sp^{2} orbital, outside the π\pi system, and is available for protonation. Brain-Teaser 3: How many monochloro and dichloro derivatives of benzene are possible, and why does this support the resonance picture? Solution: One monochlorobenzene (all hydrogens equivalent) and three dichlorobenzenes (ortho, meta, para). If Kekule's fixed structure were real, there would be two ortho isomers (Cl atoms across a single or across a double bond). Only one is found, consistent with all C-C bonds being identical.