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Q.Among the following which system is aromatic?

(a) six-membered ring with exocyclic =CH2
(b) five-membered ring (cyclopentadienyl-type)
(c) plain benzene ring
(d) benzene ring with exocyclic substituent stub
Jharkhand JacJAC Intermediate Board (1st Year) 2025MCQ· 1mImportance★★★★★
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Aromaticity (Huckel's rule) requires a ring that is (1) cyclic, (2) planar, (3) fully conjugated all the way around (every ring atom is sp2 with a p-orbital that overlaps continuously), and (4) has exactly 4n+2 pi electrons within that ring. Of the four drawn structures, only the plain benzene ring (c) satisfies all four conditions simultaneously.

Huckel's rule for aromaticity, applied to each drawn system shown in the figure:

Structure (a) — six-membered ring with an exocyclic double bond to CH2 (a methylenecyclohexadiene-type structure):

This ring has an exocyclic C=CH2 double bond, meaning one ring carbon uses its p-orbital to conjugate OUTWARD, out of the ring, rather than continuing the conjugation path around the closed ring. This breaks the requirement for a continuous, uninterrupted loop of overlapping p-orbitals all the way around the ring (condition 3 above) — the pi system is cross-conjugated rather than cyclically conjugated. This structure is NOT aromatic (this is the classic 'fulvene-type' trap, whether 5- or 6-membered, taught specifically to test whether students confuse 'has double bonds in a ring' with 'is aromatic').

Structure (b) — five-membered ring (cyclopentadienyl-type) with a small substituent/radical mark:

As drawn with a radical (odd-electron) mark, this depicts the cyclopentadienyl RADICAL, which has 5 pi electrons distributed over the ring. Applying 4n+2: 5 does not fit 4n+2 for any whole-number n (4(0)+2=2, 4(1)+2=6, ...; 5 is neither). An odd number of electrons can never satisfy Huckel's rule at all, since 4n+2 is always even (aromaticity requires all pi electrons to be paired in filled bonding molecular orbitals) — a radical (unpaired electron) species is therefore never aromatic. This is NOT aromatic. (Note: the closely related cyclopentadienyl ANION, formed by adding one more electron to get 6 pi electrons, WOULD be aromatic — but that is a different species from the neutral radical depicted here.)

Structure (c) — plain six-membered benzene ring:

Benzene is cyclic (a closed ring), planar (all 6 carbons and the ring itself lie in one plane), fully conjugated (every ring carbon is sp2-hybridised with an unhybridised p-orbital that overlaps continuously with its neighbours all the way around the ring, forming one continuous pi cloud above and below the ring plane), and has exactly 6 pi electrons (3 formal C=C double bonds x 2 electrons each = 6, or equivalently delocalised evenly as 1 electron-pair-equivalent per bond around the ring). Checking 4n+2 with n=1: 4(1)+2 = 6 -- matches exactly. All four Huckel criteria are satisfied. This IS aromatic.

Structure (d) — benzene ring with a short exocyclic bond stub (substituent/radical mark): …

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