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Molecules of \(6,6^{\prime}\)-dinitrobiphenyl-2,2'-dicarboxylic acid have no tetrahedral chiral center, and yet they can be resolved to a pair of enantiomers. Account for this chirality.

Short Answer

Expert verified
Answer: 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid can exist as a pair of enantiomers due to atropisomerism. This type of chirality arises from the restricted rotation around the single bond connecting the two benzene rings, caused by the presence of bulky nitro and carboxylic acid groups. The two atropisomers are non-superimposable mirror images of each other, making them enantiomers with distinct three-dimensional spatial arrangements and optical activities.

Step by step solution

01

Draw the structure of 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid

Begin by drawing the structure of 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid. The molecule consists of two benzene rings connected at the 1 and 1' positions, with nitro (NO2) groups at the 6 and 6' positions, and carboxylic acid (COOH) groups at the 2 and 2' positions.
02

Examine the molecule for sources of chirality

Next, examine the molecule for any potential sources of chirality. Since there is no tetrahedral chiral center, any chirality must arise from another source. In this case, we will focus our attention on the two benzene rings and their connection.
03

Identify atropisomerism as the source of chirality

Atropisomerism is a type of chirality that arises from the restricted rotation of a single bond due to the presence of bulky groups around it. In 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid, the two benzene rings are connected via a single bond, and due to the presence of the bulky nitro and carboxylic acid groups, the rotation around this bond is hindered. This leads to the existence of two distinct conformers, which are stable atropisomers.
04

Explain the existence of enantiomers

The two atropisomers of 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid are non-superimposable mirror images of each other, meaning they are enantiomers. Due to the restricted rotation around the bond connecting the two benzene rings, each atropisomer has a distinct three-dimensional spatial arrangement, leading to different optical activities. As a result, these atropisomers can be resolved into a pair of enantiomers, despite having no tetrahedral chiral center.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Enantiomers
Enantiomers are molecules that are non-superimposable mirror images of one another, just like a person’s left and right hands. While they may contain the same components, the spatial arrangement of these parts differs in a way that mirror imaging cannot reconcile. Due to this unique spatial structure, each enantiomer possesses distinct properties; for instance, they usually have opposite effects when interacting with other chiral substances, such as biological molecules. In pharmaceuticals, this is crucial as one enantiomer can be therapeutically active while the other may be inert or even harmful.

The intriguing case of the 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid guides us to discover that enantiomers are not limited to molecules with tetrahedral chiral centers. The molecule shows that enantiomers can exist due to other types of chiral axes or planes, broadening the spectrum of chirality in molecular structures.
Restricted Rotation
The phenomenon of restricted rotation plays a significant role in the chirality of certain molecules. It occurs when the rotation around a bond is hindered by the presence of bulky substituents, preventing the free rotation that is typically associated with single bonds.

This restricted rotation creates a barrier that keeps the molecule in one of multiple stable conformations. In the case at hand, the 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid molecule experiences restricted rotation around the single bond connecting the two benzene rings. The bulky nitro and carboxylic acid groups act as spatial hindrances, locking the molecule into one of two stable orientations. These orientations can be enantiomers, showcasing that chirality can be the result of factors beyond the presence of chiral centers.
Optical Activity
Optical activity is an intriguing property of chiral molecules where they rotate plane-polarized light in either a clockwise (dextrorotatory) or counterclockwise (levorotatory) direction. The direction and degree of this rotation are specific to the enantiomer, and it provides a practical method to distinguish between two enantiomers.

Even without a tetrahedral chiral center, the 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid enantiomers exhibit optical activity due to their spatial arrangement, caused by the restricted rotation. This property is essential in fields such as pharmacology and analytical chemistry, as it allows for the identification and separation of enantiomers, which could have vastly different biological activities or properties.
Chiral Center
A chiral center, traditionally considered to be a carbon atom with four different substituents, is a pivotal point in a molecule from which the nonsuperimposable mirror images - the enantiomers - emerge.

Chirality Without a Chiral Center

However, chirality is not confined to molecules with such asymmetric carbon atoms. The 6,6'-dinitrobiphenyl-2,2'-dicarboxylic acid example elucidates that molecules can exhibit chirality due to other features, such as restricted rotation around a bond.

This expands the understanding of chirality beyond the limited scope of the classic chiral center. It emphasizes the rich diversity of molecular structures and reminds us that the search for sources of chirality can lead to surprising and educational discoveries about the three-dimensional nature of molecules.

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Most popular questions from this chapter

Write a balanced equation for the oxidation of \(p\)-xylene to 1,4-benzenedicarboxylic acid (terephthalic acid) using potassium dichromate in aqueous sulfuric acid. How many milligrams of \(\mathrm{H}_{2} \mathrm{CrO}_{4}\) are required to oxidize \(250 \mathrm{mg}\) of \(p\) xylene to terephthalic acid?

A finding that opened a route to \(\beta\)-blockers was the discovery that \(\beta\)-blocking activity is retained if an oxygen atom is interposed between the aromatic ring and the side chain. To see this difference, compare the structures of labetalol (Problem 22.55) and propranolol. Thus, alkylation of phenoxide ions can be used as a way to introduce this side chain. The first of this new class of drugs was propranolol. (a) Show how propanolol can be synthesized from 1-naphthol, epichlorohydrin (Section 11.10), and isopropylamine. (b) Is propranolol chiral? If so, which of the possible stereoisomers are formed in this synthesis?

Although most alkanes react with chlorine by a radical chain mechanism when reaction is initiated by light or heat, benzene fails to react under the same conditions. Benzene cannot be converted to chlorobenzene by treatment with chlorine in the presence of light or heat. (a) Explain why benzene fails to react under these conditions. (Consult Appendix 3 for relevant bond dissociation enthalpies.) (b) Explain why the bond dissociation enthalpy of a \(\mathrm{C}-\mathrm{H}\) bond in benzene is significantly greater than that in alkanes.

When warmed in dilute sulfuric acid, 1-phenyl-1,2-propanediol undergoes dehydration and rearrangement to give 2-phenylpropanal. (a) Propose a mechanism for this example of a pinacol rearrangement (Section 10.7). (b) Account for the fact that 2-phenylpropanal is formed rather than its constitutional isomer, 1-phenyl-1-propanone.

Given here are \({ }^{1}\) H-NMR and \({ }^{13}\) C-NMR spectral data for two compounds. Each shows strong, sharp absorption between 1700 and \(1720 \mathrm{~cm}^{-1}\), and strong, broad absorption over the region \(2500-3000 \mathrm{~cm}^{-1}\). Propose a structural formula for each compound. (a) \(\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{O}_{3}\) (b) \(\mathrm{C}_{10} \mathrm{H}_{10} \mathrm{O}_{2}\) $$ \begin{array}{cc} \hline{ }^{1} \mathbf{H}-\mathrm{NMR} & { }^{13} \mathrm{C}-\mathrm{NMR} \\ \hline 2.49(\mathrm{t}, 2 \mathrm{H}) & 173.89 \\ 2.80(\mathrm{t}, 2 \mathrm{H}) & 157.57 \\ 3.72(\mathrm{~s}, 3 \mathrm{H}) & 132.62 \\ 6.78(\mathrm{~d}, 2 \mathrm{H}) & 128.99 \\ 7.11(\mathrm{~d}, 2 \mathrm{H}) & 113.55 \\ 12.4(\mathrm{~s}, 1 \mathrm{H}) & 54.84 \\ & 35.75 \\ & 29.20 \\ \hline \end{array} $$ $$ \begin{array}{cc} \hline{ }^{1} \text { H-NMR } & { }^{13} \text { C-NMR } \\ \hline 2.34(\mathrm{~s}, 3 \mathrm{H}) & 167.82 \\ 6.38(\mathrm{~d}, 1 \mathrm{H}) & 143.82 \\ 7.18(\mathrm{~d}, 1 \mathrm{H}) & 139.96 \\ 7.44(\mathrm{~d}, 2 \mathrm{H}) & 131.45 \\ 7.56(\mathrm{~d}, 2 \mathrm{H}) & 129.37 \\ 12.0(\mathrm{~s}, 1 \mathrm{H}) & 127.83 \\ & 111.89 \\ & 21.13 \\ \hline \end{array} $$

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