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NCERT Exemplar · Q44

Q.Assertion (A): The compound cyclooctatetraene has a cyclic structural formula (a puckered, tub-shaped eight-membered ring). It is cyclic and has conjugated 8π-electron system but it is not an aromatic compound.
Reason (R): (4n + 2) π electrons rule does not hold good and ring is not planar.

(i) Both A and R are correct and R is the correct explanation of A.
(ii) Both A and R are correct but R is not the correct explanation of A.
(iii) Both A and R are not correct.
(iv) A is not correct but R is correct.
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Cyclooctatetraene (not cyclooctane) has 8π electrons in a conjugated system but is non-aromatic because it fails both Hückel criteria: it does not satisfy the (4n+2)(4n+2) rule and adopts a non-planar tub conformation. Both assertion and reason are correct, and the reason explains the assertion.

The question tests your understanding of aromaticity through Hückel's rule. A compound is aromatic only when it satisfies all of the following conditions:

  1. The molecule must be cyclic.
  2. The molecule must be planar (or nearly so) to allow orbital overlap.
  3. The molecule must have a fully conjugated system of p-orbitals.
  4. The molecule must contain (4n + 2) π electrons where n=0,1,2,3,…n = 0, 1, 2, 3, \ldots

When any one of these fails, aromaticity is lost. The compound in question is almost certainly cyclooctatetraene (COT), CX8HX8\ce{C8H8}, not cyclooctane CX8HX16\ce{C8H16} (which has no π system at all). Cyclooctatetraene has alternating single and double bonds around an eight-membered ring, giving it 8π electrons.

Watch out

The assertion says "cyclooctane" but describes a conjugated π system. Cyclooctane is a saturated hydrocarbon with no double bonds. The intended molecule is cyclooctatetraene.


Why cyclooctatetraene is not aromatic

  1. Count the π electrons.

    Cyclooctatetraene has four C=C\ce{C=C} double bonds, contributing 4×2=84 \times 2 = 8 π electrons.

  2. Check the (4n+2)(4n+2) rule.

    For aromaticity, the number of π electrons must equal 4n+24n+2. Setting 8=4n+28 = 4n+2 gives n=1.5n = 1.5, which is not an integer. So cyclooctatetraene has 4n4n electrons (n=2n=2), characteristic of antiaromatic systems if planar.

  3. Examine the geometry.

    A planar eight-membered ring with 8π electrons would be antiaromatic and highly unstable. To avoid this destabilisation, cyclooctatetraene distorts into a non-planar, tub-shaped (or "puckered") conformation. This breaks the continuous overlap of p-orbitals, eliminating both aromaticity and antiaromaticity. The molecule behaves as a typical polyene with localised double bonds. …

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