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Bonding in Benzene: Kekulé vs the Delocalised Model

Bonding & Molecular StructureIntermediate9 min read
On this page
  1. The Kekulé structure: a brilliant first guess
  2. Three problems with Kekulé
  3. The delocalised model
  4. How resonance fits in
  5. Kekulé vs delocalised: side by side
  6. Why it matters beyond benzene
  7. Common mistakes
  8. Key takeaways

Benzene, C₆H₆, looks like it should be one of the most reactive hydrocarbons you could bottle. Six carbons, six hydrogens, and a hydrogen-to-carbon ratio that screams “unsaturated”. Compare it with hexane, C₆H₁₄, and you can see eight hydrogens are missing, which normally means double bonds. Alkenes with double bonds decolourise bromine water in seconds. Benzene doesn’t. Shake it with bromine water and the orange colour just moves into the organic layer, unchanged.

That stubbornness is the whole story of benzene bonding. For about seventy years chemists had a structure that almost worked, and the gap between “almost” and “actually” turned out to be one of the most useful ideas in chemistry: delocalisation.

The Kekulé structure: a brilliant first guess

In 1865 August Kekulé proposed that benzene’s six carbon atoms form a ring, with single and double bonds alternating around it. Each carbon then has four bonds: one to hydrogen, one single bond to one neighbour and one double bond to the other. The valency rules are satisfied and the formula C₆H₆ is explained.

If you have drawn Lewis structures, the Kekulé ring is exactly what you’d produce: a hexagon with three C=C bonds, often called “cyclohexa-1,3,5-triene”.

It was a genuine breakthrough. Before it, nobody could explain how six carbons and six hydrogens could hang together. But once chemists started testing the model against real benzene, three awkward facts appeared.

Three problems with Kekulé

1. The bond lengths are all the same

A C–C single bond is about 154 pm long and a C=C double bond is about 134 pm. If benzene really had alternating single and double bonds, its hexagon would be lopsided: three long sides and three short ones.

X-ray diffraction shows something different. All six C–C bonds in benzene are the same length, about 139–140 pm, sitting between the single and double values. The ring is a perfect, flat, regular hexagon, with every bond angle 120°.

Bond Typical length
C–C single (e.g. in ethane) ~154 pm
C–C in benzene ~139–140 pm
C=C double (e.g. in ethene) ~134 pm

A bond that is neither single nor double can’t be drawn with ordinary lines. That alone tells you the Kekulé picture is incomplete.

2. The chemistry is wrong

Alkenes react by addition: bromine adds across the C=C bond and the double bond disappears. A molecule with three C=C bonds should add bromine eagerly.

Benzene prefers substitution instead. With bromine and a catalyst such as iron(III) bromide, one hydrogen is swapped for a bromine atom to give bromobenzene, and the ring stays intact. Benzene would rather keep its ring system than gain the extra bonds that addition would provide. That only makes sense if the ring system is worth something.

3. It is too stable

This is the most convincing evidence, because it can be measured. Adding hydrogen to a C=C bond releases energy. For cyclohexene, which has one C=C in a six-membered ring, hydrogenation to cyclohexane releases about 120 kJ/mol.

If benzene were really cyclohexatriene with three independent C=C bonds, fully hydrogenating it should release roughly three times as much:

3 × 120 kJ/mol ≈ 360 kJ/mol

The measured value is only about 208 kJ/mol. Benzene releases roughly 150 kJ/mol less energy than the Kekulé model predicts, which means benzene sits about 150 kJ/mol lower in energy than a hypothetical cyclohexatriene would. This extra stability is called the delocalisation energy (or resonance energy) of benzene.

A simple energy diagram helps. Put cyclohexane at the bottom. Cyclohexene sits 120 kJ/mol above it. The imaginary Kekulé cyclohexatriene would sit about 360 kJ/mol above it. Real benzene sits only about 208 kJ/mol above it, a long way below where Kekulé’s molecule would be.

(For more on using measured energies like these, see bond enthalpy calculations.)

The delocalised model

The modern picture starts with the σ framework and then deals with the leftover electrons separately.

Step 1: the σ skeleton. Each carbon is sp² hybridised (see hybridisation explained). Its three sp² orbitals point to the corners of a triangle, 120° apart. Two of them overlap with neighbouring carbons and one overlaps with a hydrogen 1s orbital. That gives a flat ring of six C–C σ bonds and six C–H σ bonds, and it explains the 120° angles and the planar shape.

Step 2: the p orbitals. Each carbon still has one electron in an unhybridised 2p orbital, standing perpendicular to the plane of the ring, one lobe above and one below. There are six of them, side by side.

Step 3: sideways overlap all the way round. In ethene, two p orbitals overlap sideways to make one π bond between two atoms (see sigma and pi bonds). In benzene, each p orbital overlaps equally with both of its neighbours. Nothing forces the p orbitals to pair up with one partner instead of the other, so they all overlap together. The result is a continuous π system: two ring-shaped regions of electron density, one above and one below the plane of the carbons, holding six electrons shared by all six atoms.

Those six π electrons are delocalised. They don’t belong to any one bond. Every C–C bond gets the same share, so every bond ends up with the same length and strength: one σ bond plus “half” a π bond, a bond order of about 1.5.

This is why chemists often draw benzene as a hexagon with a circle inside it. The circle means “six π electrons spread evenly round the ring”.

Why spreading out lowers the energy

An analogy: imagine six people sharing three sofas in pairs, each pair squeezed together. Now knock down the arm-rests and join the sofas into one long curved bench. Nobody gains extra seats, but everyone has more room to move, and the arrangement is more comfortable. Electrons behave similarly. When the space available to an electron grows, its kinetic energy falls, and the total energy of the molecule drops.

Molecular orbital theory makes this precise. The six p orbitals combine into six π molecular orbitals: three bonding and three antibonding. The six π electrons fill the three bonding orbitals exactly, and the lowest of those spreads over all six atoms with no nodes between them. The total energy of this filled set is lower than three isolated ethene-style π bonds would be, and that difference is the delocalisation energy.

How resonance fits in

You will often see benzene drawn as two Kekulé structures with a double-headed arrow between them. This is resonance, and it is a useful bookkeeping device, provided you read it correctly.

The two Kekulé structures are not two molecules, and benzene does not flick between them. The real molecule is a single structure, the resonance hybrid, which is a weighted average of the two drawings. Kekulé himself suggested the double bonds might oscillate rapidly between positions, which was a creative attempt to explain why only one 1,2-disubstituted benzene is ever found. The delocalised model removes the need for any oscillation: there was never a double bond in a fixed place to move.

A helpful comparison is a mule. A mule is a cross between a horse and a donkey, but it isn’t a horse on Mondays and a donkey on Tuesdays. It is permanently a mule. The Kekulé drawings are the horse and the donkey; benzene is the mule.

Kekulé vs delocalised: side by side

Feature Kekulé model Delocalised model What experiment shows
C–C bond lengths Three ~154 pm, three ~134 pm All equal All equal, ~139–140 pm
Shape Planar but irregular hexagon Regular planar hexagon Regular planar hexagon
Reaction with bromine Fast addition expected Substitution preferred Substitution, needs a catalyst
Enthalpy of hydrogenation ~360 kJ/mol released Less than 360 kJ/mol ~208 kJ/mol released
Number of 1,2-disubstituted isomers Two expected (unless bonds oscillate) One One

Why it matters beyond benzene

The same sort of ring stability appears in many other flat, cyclic molecules with a continuous loop of p orbitals. Chemists call such compounds aromatic. A widely taught rule (Hückel’s rule) says a planar, fully conjugated ring is aromatic when it holds 4n + 2 π electrons, where n is a whole number. Benzene, with six, fits n = 1. Pyridine, naphthalene and the rings in many drugs, dyes and the bases of DNA owe much of their behaviour to aromatic delocalisation.

The idea also explains why the benzene ring survives so many reactions. Most reactions of benzene begin with an electrophile attacking the π cloud, which temporarily breaks the delocalisation. The intermediate then loses H⁺ so that the ring can get its delocalised system back. Substitution restores the stabilised ring; addition would destroy it for good. The 150 kJ/mol is a powerful incentive.

Graphite takes the same idea to an extreme: each flat layer is like an endless sheet of fused benzene rings, and its delocalised electrons let it conduct electricity along the layers (see allotropes of carbon and the carbon element page).

A safety note: benzene is a recognised human carcinogen. Its properties are best learned from data and demonstrations, not from handling it in a school lab.

Common mistakes

  • Saying benzene “has three double bonds”. It has six identical bonds, each with a bond order of about 1.5. The Kekulé drawing is a convenient sketch, not a literal description.
  • Thinking benzene alternates between two structures. Resonance forms are not in equilibrium. There is one real structure, and nothing flips.
  • Getting the hydrogenation numbers backwards. Benzene releases less heat on hydrogenation than predicted, because it starts lower in energy. Less energy released means more stable starting material.
  • Putting the delocalised electrons in the plane of the ring. The π cloud lies above and below the plane. The σ bonds are in the plane.
  • Assuming any ring with alternating double bonds behaves like benzene. Delocalisation needs a planar ring with continuous p-orbital overlap and the right electron count. Cyclooctatetraene, C₈H₈, is tub-shaped and does not show benzene-like stability.
  • Saying benzene “does not react”. It reacts readily enough under the right conditions. It simply prefers substitution to addition and usually needs a catalyst or a strong electrophile.

Key takeaways

  • Kekulé’s alternating ring (1865) explained the formula C₆H₆ but predicted unequal bond lengths, easy addition and too little stability.
  • Real benzene is a flat, regular hexagon with all C–C bonds about 139–140 pm, between single (~154 pm) and double (~134 pm).
  • Each carbon is sp²; the six leftover p orbitals overlap all round the ring, giving six delocalised π electrons above and below the plane.
  • Hydrogenation data show benzene is about 150 kJ/mol more stable than cyclohexatriene would be (≈ 360 predicted vs ≈ 208 kJ/mol observed).
  • That delocalisation energy explains why benzene favours substitution over addition.
  • Resonance structures are drawings; the real molecule is the single hybrid, best shown with a circle in the hexagon.

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