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Q9.11:
What are the necessary conditions for any system to be aromatic?
Solution :
Theoretical Foundation: Hückel's Rule of Aromaticity
For a cyclic organic compound to be classified as aromatic, it must adhere to a specific set of structural and electronic criteria. These conditions are derived from Hückel's molecular orbital theory, which dictates the stability of planar, conjugated systems.
Step 1: Structural Planarity and Cyclic Geometry
The molecule must contain a ring structure. Crucially, the atoms forming the ring must lie in the same plane to allow for the effective overlap of $p$-orbitals. If the molecule is non-planar, the cyclic delocalization of $\pi$-electrons is interrupted, causing the system to lose its aromatic stabilization energy.
Step 2: Complete Conjugation (Continuous delocalization)
Each atom within the ring must possess at least one unhybridized $p$-orbital that is parallel to the $p$-orbitals of the adjacent atoms. This ensures a continuous loop of $\pi$-electron cloud above and below the plane of the ring, allowing for complete delocalization of electrons across the entire cycle [Per the principle of cyclic conjugation].
Step 3: The Hückel (4n + 2) Electron Criterion
The system must contain a total number of $\pi$-electrons equal to $(4n + 2)$, where $n$ is a non-negative integer ($n = 0, 1, 2, ...$).
- If $n = 0$, $\pi$-electrons = 2
- If $n = 1$, $\pi$-electrons = 6
- If $n = 2$, $\pi$-electrons = 10
This requirement arises because, in a monocyclic system, the $(4n + 2)$ electrons occupy all available bonding molecular orbitals, resulting in a closed-shell electronic configuration with significantly lower energy [By Quantum Mechanical Molecular Orbital Theory].
Visual Representation: Benzene as a Model Aromatic System
Summary of Conditions
| Condition | Description |
|---|---|
| Cyclic | The molecule must be a closed loop. |
| Planar | All ring atoms must be coplanar for orbital overlap. |
| Fully Conjugated | Every atom in the ring must have an unhybridized $p$-orbital. |
| Hückel's Rule | Must contain $(4n + 2)$ $\pi$-electrons. |
Final Solution: For a system to be aromatic, it must satisfy four concurrent criteria: it must be cyclic, planar, fully conjugated (possessing a continuous system of $p$-orbitals), and contain $(4n + 2)$ $\pi$-electrons in the delocalized cloud, where $n$ is an integer ($0, 1, 2, ...$).
More Questions from Class 11 Chemistry Hydrocarbons EXERCISES
- Q9.1: How do you account for the formation of ethane during chlorination of methane ?
- Q9.10: Why is benzene extra ordinarily stable though it contains three double bonds?
- Q9.12(i): Explain why the following systems are not aromatic? (i)
- Q9.12(ii): Explain why the following systems are not aromatic? (ii)
- Q9.12(iii): Explain why the following systems are not aromatic? (iii)
- Q9.13(i): How will you convert benzene into (i) $p$-nitrobromobenzene
- Q9.13(ii): How will you convert benzene into (ii) $m$-nitrochlorobenzene
- Q9.13(iii): How will you convert benzene into (iii) $p$-nitrotoluene
- Q9.13(iv): How will you convert benzene into (iv) acetophenone?
- Q9.14: In the alkane $H_3C-CH_2-C(CH_3)_2-CH_2-CH(CH_3)_2$, identify $1^{\circ},2^{\circ},3^{\circ}$ carbon atoms and give the number of H atoms bonded to each one of these.
- Q9.15: What effect does branching of an alkane chain has on its boiling point?
- Q9.16: Addition of HBr to propene yields 2-bromopropane, while in the presence of benzoyl peroxide, the same reaction yields 1-bromopropane. Explain and give mechanism.
- Q9.17: Write down the products of ozonolysis of 1,2-dimethylbenzene ($o$-xylene). How does the result support Kekulé structure for benzene?
- Q9.18: Arrange benzene, $n$-hexane and ethyne in decreasing order of acidic behaviour. Also give reason for this behaviour.
- Q9.19: Why does benzene undergo electrophilic substitution reactions easily and nucleophilic substitutions with difficulty?
- Q9.2(a): Write IUPAC names of the following compounds : (a) $CH_3CH=C(CH_3)_2$
- Q9.2(b): Write IUPAC names of the following compounds : (b) $CH_2=CH-C \equiv C-CH_3$
- Q9.2(c): Write IUPAC names of the following compounds : (c)
- Q9.2(d): Write IUPAC names of the following compounds : (d)
- Q9.2(e): Write IUPAC names of the following compounds : (e)
- Q9.2(f): Write IUPAC names of the following compounds : (f)
- Q9.2(g): Write IUPAC names of the following compounds : (g)
- Q9.20(i): How would you convert the following compounds into benzene? (i) Ethyne
- Q9.20(ii): How would you convert the following compounds into benzene? (ii) Ethene
- Q9.20(iii): How would you convert the following compounds into benzene? (iii) Hexane
- Q9.21: Write structures of all the alkenes which on hydrogenation give 2-methylbutane.
- Q9.22(a): Arrange the following set of compounds in order of their decreasing relative reactivity with an electrophile, $E^+$ (a) Chlorobenzene, 2,4-dinitrochlorobenzene, $p$-nitrochlorobenzene
- Q9.22(b): Arrange the following set of compounds in order of their decreasing relative reactivity with an electrophile, $E^+$ (b) Toluene, $p-H_3C-C_6H_4-NO_2$, $p-O_2N-C_6H_4-NO_2$.
- Q9.23: Out of benzene, $m$-dinitrobenzene and toluene which will undergo nitration most easily and why?
- Q9.24: Suggest the name of a Lewis acid other than anhydrous aluminium chloride which can be used during ethylation of benzene.
- Q9.25: Why is Wurtz reaction not preferred for the preparation of alkanes containing odd number of carbon atoms? Illustrate your answer by taking one example.
- Q9.3(a): For the following compounds, write structural formulas and IUPAC names for all possible isomers having the number of double or triple bond as indicated : (a) $C_4H_8$ (one double bond)
- Q9.3(b): For the following compounds, write structural formulas and IUPAC names for all possible isomers having the number of double or triple bond as indicated : (b) $C_5H_8$ (one triple bond)
- Q9.4(i): Write IUPAC names of the products obtained by the ozonolysis of the following compounds : (i) Pent-2-ene
- Q9.4(ii): Write IUPAC names of the products obtained by the ozonolysis of the following compounds : (ii) 3,4-Dimethylhept-3-ene
- Q9.4(iii): Write IUPAC names of the products obtained by the ozonolysis of the following compounds : (iii) 2-Ethylbut-1-ene
- Q9.4(iv): Write IUPAC names of the products obtained by the ozonolysis of the following compounds : (iv) 1-Phenylbut-1-ene
- Q9.5: An alkene ‘$A$’ on ozonolysis gives a mixture of ethanal and pentan-3-one. Write structure and IUPAC name of ‘$A$’.
- Q9.6: An alkene ‘$A$’ contains three $C-C$, eight $C-H$ $\sigma$ bonds and one $C-C$ $\pi$ bond. ‘$A$’ on ozonolysis gives two moles of an aldehyde of molar mass 44 u. Write IUPAC name of ‘$A$’.
- Q9.7: Propanal and pentan-3-one are the ozonolysis products of an alkene? What is the structural formula of the alkene?
- Q9.8(i): Write chemical equations for combustion reaction of the following hydrocarbons: (i) Butane
- Q9.8(ii): Write chemical equations for combustion reaction of the following hydrocarbons: (ii) Pentene
- Q9.8(iii): Write chemical equations for combustion reaction of the following hydrocarbons: (iii) Hexyne
- Q9.8(iv): Write chemical equations for combustion reaction of the following hydrocarbons: (iv) Toluene
- Q9.9: Draw the cis and trans structures of hex-2-ene. Which isomer will have higher b.p. and why?
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