Ch. 6 - Stereoisomerism: Arrangement of Atoms in Space

Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition

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Mullins 1st Edition

Ch. 6 - Stereoisomerism: Arrangement of Atoms in Space

Problem 14b

Chapter 5, Problem 14b

For each of the following chiral molecules, obtain the enantiomer (i) by drawing the nonsuperimposable mirror image and (ii) by switching the spatial orientation at each asymmetric center. Confirm (possibly using models) that the structures you drew for (i) and (ii) are the same.
(b)

Verified step by step guidance

Identify the chiral center(s) in the given molecule. A chiral center is typically a carbon atom bonded to four different groups. Ensure you clearly mark these centers for reference.

To obtain the enantiomer by drawing the nonsuperimposable mirror image (step i), imagine a mirror placed next to the molecule. Reflect each group attached to the chiral center(s) across the mirror. The positions of the groups should be reversed as if viewed in a mirror.

To obtain the enantiomer by switching the spatial orientation at each asymmetric center (step ii), invert the configuration of each chiral center. This means swapping the positions of any two groups attached to the chiral center. For example, if the groups are arranged in a clockwise (R) configuration, switch them to create a counterclockwise (S) configuration, or vice versa.

Compare the structures obtained in steps (i) and (ii). Use molecular models or visualization tools if necessary to confirm that the two structures are identical. This confirms that both methods yield the same enantiomer.

Verify that the enantiomer is nonsuperimposable on the original molecule. This ensures that the molecule and its enantiomer are true stereoisomers and not identical.

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Key Concepts

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

Chirality

Chirality refers to the geometric property of a molecule that makes it non-superimposable on its mirror image. Molecules that possess chirality typically have one or more asymmetric carbon atoms, leading to two distinct forms known as enantiomers. These enantiomers exhibit different optical activities and can have different biological activities, making chirality a crucial concept in organic chemistry.

Enantiomers

Enantiomers are a pair of chiral molecules that are mirror images of each other. They have identical physical properties, such as melting and boiling points, but differ in how they interact with polarized light and with other chiral substances. Understanding enantiomers is essential for predicting the behavior of chiral compounds in chemical reactions and biological systems.

Stereochemistry

Stereochemistry is the study of the spatial arrangement of atoms in molecules and how this arrangement affects their chemical behavior. It encompasses concepts such as chirality, enantiomers, and diastereomers. In the context of the question, switching the spatial orientation at each asymmetric center is a stereochemical operation that helps in identifying the enantiomer of a given chiral molecule.

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Related Practice

Textbook Question

A molecule of the type shown is discussed in greater detail in Section 6.5.1. Although it contains at least one atom with four different groups attached, why is it not a chiral molecule?

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Textbook Question

Identify the following molecules as chiral or achiral. If chiral, draw the nonsuperimposable mirror image and verify its nonsuperimposability.

(e)

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Textbook Question

A molecule of the type shown here is discussed in greater detail in Section 6.5.1. Draw the mirror image. Is it superimposable? Switch the spatial orientation at both asymmetric centers. Have you generated a new molecule?

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Textbook Question

Draw the mirror image of the following molecule. Then, using the mirror image generated, switch the spatial orientation at the asymmetric center. Is the final structure the enantiomer of the original? If not, what is it?

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Textbook Question

Identify the following molecules as chiral or achiral. If chiral, draw the nonsuperimposable mirror image and verify its nonsuperimposability.

(f)

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Textbook Question

For each of the following chiral molecules, obtain the enantiomer (i) by drawing the nonsuperimposable mirror image and (ii) by switching the spatial orientation at each asymmetric center. Confirm (possibly using models) that the structures you drew for (i) and (ii) are the same.

(d)

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For each of the following chiral molecules, obtain the enantiomer (i) by drawing the nonsuperimposable mirror image and (ii) by switching the spatial orientation at each asymmetric center. Confirm (possibly using models) that the structures you drew for (i) and (ii) are the same. (b)

Verified video answer for a similar problem:

Key Concepts

Chirality

Enantiomers

Stereochemistry

For each of the following chiral molecules, obtain the enantiomer (i) by drawing the nonsuperimposable mirror image and (ii) by switching the spatial orientation at each asymmetric center. Confirm (possibly using models) that the structures you drew for (i) and (ii) are the same.
(b)