Why is benzene planar and cyclohexane nonplanar?

1 Answer

Short answer: Benzene is planar because its carbon atoms are "sp"^2sp2 hybridized, and cyclohexane is nonplanar because its carbon atoms are "sp"^3sp3 hybridized.

Explanation:

Benzene

The structure of benzene is

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Each carbon atom is bonded to three other atoms, so it is "sp"^2sp2 hybridized: trigonal planar with all bond angles equal to 120°.

The interior angles of a regular hexagon are 120°.

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This exactly matches the "sp"^2sp2 bond angles, so benzene can be planar with no angle strain.

Cyclohexane

The structure of cyclohexane is

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Each carbon atom is bonded to four other atoms, so it is "sp"^3sp3 hybridized: tetrahedral with all bond angles equal to 109.5°.

If the carbon atoms in cyclohexane were arranged as a planar hexagon, the bond angles would have to be 120°.

This would introduce a large amount of angle strain (and other types of strain) into the molecule.

The molecule can relieve this strain if it puckers into a three-dimensional chair shape.

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This brings the bond angles back to 109.5 ° and minimizes all the strains in the molecule.