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Animated Solution for Chemistry - Organic Chemistry: Among the following, the aromatic compounds are Choose the correct answer from the following options.

Select Answer:

Visualized Solution

Visualizing the Structures

  • We are given four distinct chemical structures.
  • Our goal is to identify which of these compounds exhibit aromaticity.

Huckel's Rule for Aromaticity

  • Conditions for Aromaticity:
  • 1. The molecule must be cyclic and planar.
  • 2. There must be complete delocalization of -electrons in the ring.
  • 3. Huckel's Rule: The ring must contain electrons, where

Structure (A): Fulvene

  • Structure (A) is Fulvene.
  • It has an exocyclic double bond.
  • The -electrons are not fully delocalized within the ring to satisfy Huckel's rule.
  • Result: Non-aromatic.

Structure (B): Benzene ()

  • Structure (B) is Benzene.
  • It is a planar, fully conjugated 6-membered ring.
  • Number of -electrons = (which fits for ).
  • Result: Aromatic.

Structure (C): Cyclopentadienyl Anion ()

  • Structure (C) is the Cyclopentadienyl Anion.
  • It is a planar 5-membered ring.
  • -electrons from 2 double bonds = .
  • -electrons from the negative charge (lone pair) = .
  • Total -electrons = .
  • Result: Aromatic.

Structure (D): Cyclopentadienyl Cation ()

  • Structure (D) is the Cyclopentadienyl Cation.
  • It is a planar 5-membered ring.
  • -electrons from 2 double bonds = .
  • The positive charge contributes electrons but allows conjugation.
  • Total -electrons = (fits rule).
  • Result: Anti-aromatic.

Final Answer

  • Aromatic compounds identified: (B) and (C).
  • Therefore, the correct option is (b).

The Sigma Insight: Hydrocarbons

Solution Diagram

The Magic of Aromaticity

Imagine a chemical structure so stable, so perfectly balanced, that it defies the normal rules of reactivity. This is the magic of aromaticity. In organic chemistry, aromatic compounds are the royalty of molecules. They possess a special kind of stability derived from a continuous, unbroken cloud of delocalized electrons. But how do we know if a molecule is part of this elite club? We don't just guess; we use a powerful mathematical tool known as Huckel's Rule.

Decoding Huckel's Rule

For a molecule to be crowned "aromatic," it must pass three rigorous tests:
1. It must be cyclic and planar: The atoms must form a flat ring, allowing their p-orbitals to align perfectly parallel to one another. 2. Complete Delocalization: There must be an unbroken pathway of overlapping p-orbitals around the entire ring. 3. The Magic Number: The total number of -electrons in this continuous loop must equal , where is any whole number (). This means rings with or -electrons are the stable winners.
Let's put our four candidate structures to the test.

The Imposter

Structure (A)
Structure (A) is fulvene. At first glance, it looks promising. It has three double bonds, which means -electrons in total. However, there is a catch! One of those double bonds is exocyclic—it points outside the ring. Because of this, the -electrons are not fully delocalized within the cyclic boundary. The ring itself does not possess a continuous -electron system. Therefore, fulvene is an imposter; it is non-aromatic.

The Gold Standard

Structure (B)
Structure (B) is benzene. This is the undisputed king of aromaticity. It is a perfectly flat, six-membered ring with three alternating double bonds.
Let's count the electrons: .
Does fit the formula? Yes, if , then . Benzene passes all tests with flying colors. It is aromatic.

The Electron-Rich Ring

Structure (C)
Structure (C) is the cyclopentadienyl anion. This is where things get incredibly interesting. It is a five-membered ring with two double bonds and a negative charge (a lone pair of electrons) on one of the carbon atoms.
Let's do the math: - Electrons from the two double bonds: . - Electrons from the negative charge: . - Total -electrons: .
Because the lone pair sits in a p-orbital that aligns with the double bonds, the entire ring is fully conjugated. With -electrons, it perfectly satisfies Huckel's rule (). Despite being an ion, it is highly stable and aromatic!

The Anti-Aromatic Trap

Structure (D)
Structure (D) is the cyclopentadienyl cation. It looks very similar to structure (C), but instead of a negative charge, it has a positive charge (an empty p-orbital).
Let's count the electrons here: - Electrons from the two double bonds: . - Electrons from the positive charge: . - Total -electrons: .
The empty p-orbital allows for continuous conjugation around the ring, so it is cyclic and planar. However, it has exactly -electrons. This fits the rule (where ), which is the formula for anti-aromaticity. Anti-aromatic compounds are exceptionally unstable. Therefore, structure (D) is definitely not aromatic.

The Final Verdict

After rigorously applying Huckel's rule, we have unmasked the true nature of each molecule. Only Benzene (B) and the Cyclopentadienyl anion (C) possess the magical -electron continuous cloud.
Thus, the correct combination is (B) and (C), making option (b) the perfect answer.

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