1. Benzene: Structure and Bonding
Arenes are aromatic hydrocarbons containing one or more benzene rings. The simplest arene is benzene, C₆H₆. Its structure was a long-standing puzzle. The historical Kekulé structure proposed a flat ring of six carbons with alternating single and double bonds. However, this model is incorrect. Evidence shows that benzene is more stable and has a different geometry.
- Bond Lengths: X-ray diffraction shows all carbon-carbon bonds in benzene are identical in length (0.139 nm). This is intermediate between a typical C-C single bond (0.154 nm) and a C=C double bond (0.134 nm). The Kekulé structure would have alternating long and short bonds.
- Enthalpy of Hydrogenation: Hydrogenating one C=C bond in cyclohexene releases -120 kJ/mol. For Kekulé's structure with three C=C bonds, we would expect an enthalpy of hydrogenation of 3 x (-120) = -360 kJ/mol. The actual experimental value for benzene is only -208 kJ/mol. Benzene is 152 kJ/mol more stable than the Kekulé structure would suggest. This extra stability is called delocalisation energy.
- Reactivity: Alkenes readily undergo electrophilic addition reactions, which break the C=C double bond. Benzene resists addition reactions because this would destroy the stable delocalised system. Instead, it undergoes substitution reactions.
The modern model describes benzene as a planar, hexagonal molecule where each carbon atom is sp² hybridised. Each carbon forms three σ-bonds (one to a hydrogen atom, two to adjacent carbon atoms), creating a 120° bond angle. The remaining p-orbital on each carbon atom overlaps sideways with its neighbours, forming a continuous ring of electron density above and below the plane of the molecule. This forms a delocalised π-system containing 6 electrons.
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Worked example 14 marks
Explain, with reference to two distinct types of evidence, why the delocalised model for benzene is preferred over the Kekulé structure. [4]
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Step 1: State the first piece of evidence. Evidence from bond lengths shows that all C-C bonds in benzene are 0.139 nm, which is an intermediate length between a C-C single bond (0.154 nm) and a C=C double bond (0.134 nm). [1 mark]
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Step 2: Explain the evidence. This contradicts the Kekulé structure which would have alternating short (C=C) and long (C-C) bonds. The delocalised model, with electrons spread evenly, explains the uniform bond length. [1 mark]
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Step 3: State the second piece of evidence. Thermochemical evidence from enthalpy of hydrogenation shows benzene is more stable than predicted by the Kekulé model. The expected value for hydrogenating three C=C bonds is -360 kJ/mol, but the actual value is -208 kJ/mol. [1 mark]
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Step 4: Explain the evidence. This difference of 152 kJ/mol, known as the delocalisation energy, shows the delocalised structure is significantly more stable. Benzene's tendency to undergo substitution rather than addition also supports this, as substitution preserves the stable delocalised system. [1 mark]
Recap
- Benzene's formula is C₆H₆.
- It is a planar hexagonal molecule with bond angles of 120°.
- All C-C bonds have an intermediate length of 0.139 nm.
- The structure is stabilised by a delocalised π-system of 6 electrons.
- Evidence for this model comes from bond lengths, enthalpy data, and its chemical reactivity.
Quick check
- What is the C-C-C bond angle in a benzene molecule?1 mark
- Why is the enthalpy of hydrogenation of benzene less exothermic than expected for cyclohexatriene?1 mark