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Ch. 23 - Benzene I: Aromatic Stability and Substitution Reactions
Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition
Mullins1st EditionOrganic Chemistry: A Learner Centered ApproachISBN: 9780137566471Not the one you use?Change textbook
Chapter 22, Problem 62c

Use a Frost circle diagram to construct the molecular orbital diagram for the molecules shown. Would you expect them to be aromatic or antiaromatic?
(c) Hexagonal molecular structure with alternating double bonds, indicating a potential aromatic compound.

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1
Identify the molecule: The image shows a cycloheptatrienyl cation, which is a seven-membered ring with three conjugated double bonds and a positive charge.
Determine the number of π electrons: Count the π electrons in the conjugated system. Each double bond contributes two π electrons, so there are 6 π electrons in total.
Apply Hückel's rule: For a molecule to be aromatic, it must have (4n + 2) π electrons, where n is a non-negative integer. Check if 6 π electrons fit this rule.
Construct the Frost circle: Draw a circle and inscribe a polygon with the same number of vertices as the ring (7 in this case). The vertices represent the energy levels of the molecular orbitals.
Analyze the molecular orbital diagram: Fill the molecular orbitals with the 6 π electrons starting from the lowest energy level. Determine if all electrons are paired and if the system is aromatic or antiaromatic based on the electron configuration.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molecular Orbital Theory

Molecular Orbital Theory describes how atomic orbitals combine to form molecular orbitals, which can be occupied by electrons. In this context, the theory helps predict the stability and reactivity of molecules by analyzing the energy levels and occupancy of these orbitals. For aromatic compounds, the presence of a fully filled set of bonding molecular orbitals contributes to their stability.
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Aromaticity

Aromaticity refers to a property of cyclic, planar molecules with a ring of resonance bonds that leads to enhanced stability. A compound is considered aromatic if it follows Hückel's rule, which states that it must have 4n + 2 π electrons (where n is a non-negative integer). This stability arises from the delocalization of π electrons across the ring structure, contributing to unique chemical properties.
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Anti-Aromaticity

Anti-aromaticity is a concept that describes cyclic compounds that have 4n π electrons, leading to instability. Unlike aromatic compounds, anti-aromatic compounds are less stable due to the presence of electron repulsion and lack of resonance stabilization. This instability often results in higher reactivity compared to non-aromatic compounds, making the distinction between aromatic and anti-aromatic crucial in organic chemistry.
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