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Ch. 4 - Isomers: The Arrangement of Atoms in Space
Bruice - Organic Chemistry 8th Edition
Bruice8th EditionOrganic ChemistryISBN: 9780135213711Not the one you use?Change textbook
Chapter 5, Problem 40

The stereoisomer of cholesterol found in nature is shown here.

a. How many asymmetric centers does cholesterol have?
b. What is the maximum number of stereoisomers that cholesterol can have?

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1
Step 1: Identify asymmetric centers in cholesterol. Asymmetric centers are carbon atoms bonded to four different groups. Analyze the structure of cholesterol and locate all such carbons. Pay attention to the stereochemistry indicated by wedge and dash bonds.
Step 2: Count the number of asymmetric centers. Carefully tally the carbons that meet the criteria for chirality in the structure provided.
Step 3: Recall the formula for calculating the maximum number of stereoisomers. The formula is 2^n, where n is the number of asymmetric centers.
Step 4: Substitute the number of asymmetric centers into the formula. This will give the theoretical maximum number of stereoisomers cholesterol can have.
Step 5: Consider the stereochemistry of cholesterol found in nature. Note that cholesterol exists as a single stereoisomer due to its specific biological configuration.

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Key Concepts

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

Asymmetric Centers

Asymmetric centers, or chiral centers, are carbon atoms bonded to four different substituents, leading to non-superimposable mirror images known as enantiomers. In organic molecules, the presence of asymmetric centers is crucial for determining the molecule's stereochemistry, which affects its physical and chemical properties. Identifying these centers is essential for understanding the stereoisomerism of compounds like cholesterol.
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Stereoisomers

Stereoisomers are compounds that have the same molecular formula and connectivity of atoms but differ in the spatial arrangement of their atoms. This category includes enantiomers and diastereomers, which can have significantly different properties. The number of stereoisomers is determined by the number of asymmetric centers in a molecule, following the formula 2^n, where n is the number of asymmetric centers.
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Cholesterol Structure

Cholesterol is a complex organic molecule with a specific structure that includes multiple rings and functional groups. It contains several asymmetric centers, which contribute to its stereochemistry. Understanding the structure of cholesterol is vital for answering questions about its stereoisomers, as the arrangement of atoms around these centers directly influences the number of possible stereoisomers.
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Related Practice
Textbook Question

The following compound has only one asymmetric center. Why then does it have four stereoisomers?

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Textbook Question

Draw the stereoisomers of the following amino acids. Indicate pairs of enantiomers and pairs of diastereomers.

a.

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Textbook Question

a. Stereoisomers with two asymmetric centers are called ___ if the configuration of both asymmetric centers in one stereoisomer is the opposite of the configuration of the symmetric centers in the other stereoisomer.

b. Stereoisomers with two asymmetric centers are called ___ if the configuration of both asymmetric centers in one stereoisomer is the same as the configuration of the asymmetric centers in the other stereoisomer.

c. Stereoisomers with two asymmetric centers are called ___ if one of the asymmetric centers has the same configuration in both stereoisomers and the other asymmetric center has the opposite configuration in the two stereoisomers.

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Textbook Question

Draw all possible stereoisomers for each of the following:

b. 2-bromo-4-chlorohexane

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Textbook Question

1-Bromo-2-methylcyclopentane has four pairs of diastereomers. Draw the four pairs.

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Textbook Question

Naproxen, a nonsteroidal anti-inflammatory drug that is the active ingredient in Aleve (p. 115), has a specific rotation of +66. One commercial preparation results in a mixture with a 97% enantiomeric excess.

a. Does naproxen have the R or the S configuration?

b. What percent of each enantiomer is obtained from the commercial preparation?