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Q9.10:
Why is benzene extra ordinarily stable though it contains three double bonds?

Solution :

Step 1: Structural Analysis and Delocalization

Benzene ($C_6H_6$) consists of a planar hexagonal ring where each carbon atom is $sp^2$ hybridized. Each carbon atom forms three $\sigma$-bonds (two with adjacent carbons and one with a hydrogen atom). The third $p$-orbital on each carbon atom remains unhybridized and is oriented perpendicular to the molecular plane. [Per VSEPR Theory and Molecular Orbital Theory]

Step 2: Formation of the $\pi$-Electron Cloud

The six unhybridized $2p_z$ orbitals undergo lateral (side-on) overlap. Because of the cyclic arrangement, this overlap is not restricted to isolated double bonds but extends over the entire ring. This creates two continuous doughnut-shaped electron clouds—one above and one below the plane of the hexagonal ring. [Per Huckel's Rule for Aromaticity]

$\pi$-cloud Delocalized electrons

Step 3: Resonance Energy and Stability

The "extraordinary stability" is quantitatively expressed as Resonance Energy. When electrons are delocalized over the entire ring, the total potential energy of the system decreases significantly compared to a hypothetical structure with localized double bonds (like 1,3,5-cyclohexatriene). The experimental resonance energy of benzene is found to be approximately $150.4 \text{ kJ/mol}$. [Per Thermodynamic Stability Analysis]

Step 4: Comparison of Bond Lengths

In a standard alkene, the carbon-carbon double bond length is $\approx 134 \text{ pm}$, and the single bond is $\approx 154 \text{ pm}$. In benzene, due to resonance, all six carbon-carbon bonds are identical, possessing a bond length of $\approx 139 \text{ pm}$. This uniformity confirms the absence of isolated double bonds. [Per X-Ray Diffraction Data]

Feature Localized Alkenes Benzene
Electron Distribution Fixed/Localized Delocalized (Cloud)
Reactivity High (Addition Reactions) Low (Substitution Reactions)
Stability Lower Higher (Aromatic Stabilization)

Final Solution: Benzene is extraordinarily stable because the six $\pi$-electrons are fully delocalized across the entire cyclic structure, resulting in a significantly lower energy state than isolated double bonds; this stabilization is mathematically characterized by a resonance energy of $150.4 \text{ kJ/mol}$ and the adherence to Hückel's Rule ($4n+2$ $\pi$-electrons, where $n=1$).


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