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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 102a

Draw the two chair conformers for each of the stereoisomers of trans-1-tert-butyl-3-methylcyclohexane.

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Step 1: Begin by understanding the structure of cyclohexane and its chair conformations. Cyclohexane can adopt two chair conformations, which are interconvertible. In this problem, we are dealing with trans-1-tert-butyl-3-methylcyclohexane, meaning the substituents (tert-butyl and methyl groups) are on opposite sides of the ring (one axial and one equatorial).
Step 2: Identify the positions of the substituents on the cyclohexane ring. The tert-butyl group is at position 1, and the methyl group is at position 3. Since the molecule is trans, one substituent will be in the axial position, and the other will be in the equatorial position in each chair conformer.
Step 3: Draw the first chair conformer. Start by placing the cyclohexane ring in a chair conformation. Assign the tert-butyl group at position 1 to the axial position (upward) and the methyl group at position 3 to the equatorial position (downward). Ensure the substituents are on opposite sides of the ring to reflect the trans configuration.
Step 4: Draw the second chair conformer. Flip the chair conformation by interchanging axial and equatorial positions. In this conformer, the tert-butyl group at position 1 will now occupy the equatorial position (downward), and the methyl group at position 3 will occupy the axial position (upward). Again, confirm that the substituents remain trans to each other.
Step 5: Compare the stability of the two chair conformers. The tert-butyl group is bulky, and it prefers the equatorial position to minimize steric hindrance. Therefore, the conformer with the tert-butyl group in the equatorial position is likely to be more stable. This analysis helps in understanding the preferred conformation of the molecule.

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Key Concepts

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

Chair Conformation

Chair conformation is the most stable form of cyclohexane, characterized by a three-dimensional arrangement that minimizes steric strain and torsional strain. In this conformation, carbon atoms alternate between axial and equatorial positions, allowing for optimal spatial distribution of substituents. Understanding chair conformations is crucial for analyzing the stability and reactivity of cyclohexane derivatives.
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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. In the case of trans-1-tert-butyl-3-methylcyclohexane, the term 'trans' indicates that the bulky tert-butyl and methyl groups are positioned on opposite sides of the cyclohexane ring. Recognizing stereoisomers is essential for predicting the physical and chemical properties of organic compounds.
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Axial and Equatorial Positions

In cyclohexane chair conformations, substituents can occupy either axial or equatorial positions. Axial substituents are oriented parallel to the axis of the ring, while equatorial substituents extend outward from the ring, reducing steric hindrance. The preference for substituents to occupy equatorial positions is a key factor in determining the stability of different conformers, especially in substituted cyclohexanes.
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Equatorial Preference