(i) Classify the following molecules as aromatic, nonaromatic, or antiaromatic.
(ii) For aromatic molecules, solve for n in Hückel’s rule. For all other molecules, explain which rule of aromaticity is being broken.
(e)

Verified step by step guidance

1. Identify the molecule: The structure shown is a cyclopentadienyl cation, which is a five-membered ring with two double bonds and a positive charge.
2. Determine the number of π electrons: Count the π electrons in the molecule. Each double bond contributes two π electrons, so there are a total of 4 π electrons in the cyclopentadienyl cation.
3. Apply Hückel's rule: Hückel's rule states that a molecule is aromatic if it has (4n + 2) π electrons, where n is a non-negative integer. Check if 4 π electrons fit this rule.
4. Evaluate aromaticity: Since 4 π electrons do not satisfy the (4n + 2) rule, the molecule cannot be classified as aromatic. Instead, it fits the 4n rule, which is characteristic of antiaromatic compounds.
5. Conclude the classification: The cyclopentadienyl cation is antiaromatic because it has 4 π electrons, which fits the 4n rule, leading to instability due to the lack of aromatic stabilization.

Key Concepts

Aromaticity

Aromaticity refers to a property of cyclic compounds that exhibit enhanced stability due to the delocalization of π electrons across the ring structure. For a molecule to be classified as aromatic, it must be cyclic, planar, and follow Hückel's rule, which states that it must have a specific number of π electrons (4n + 2, where n is a non-negative integer).

Hückel's Rule

Hückel's rule is a criterion used to determine the aromaticity of a compound. It states that a planar, cyclic molecule is aromatic if it contains 4n + 2 π electrons in its conjugated system. This rule helps in identifying aromatic compounds and is essential for solving problems related to their stability and reactivity.

Anti-aromaticity

Anti-aromaticity is a property of cyclic compounds that have 4n π electrons, leading to increased instability compared to non-aromatic compounds. Such molecules do not fulfill Hückel's rule and often exhibit significant strain or reactivity due to their electron configuration. Understanding anti-aromaticity is crucial for classifying molecules correctly in organic chemistry.