Draw two different chair conformations for each of the following molecules. Make sure that your drawings clearly show the cis–trans stereochemistry. (c)
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Step 1: Identify the substituents on the cyclohexane ring. In the given structure, there is one substituent pointing up (solid wedge) and one substituent pointing down (dashed wedge). This indicates cis–trans stereochemistry.
Step 2: Recall the chair conformation of cyclohexane. Cyclohexane can adopt two chair conformations, and substituents can occupy either axial or equatorial positions. Axial positions are parallel to the ring's vertical axis, while equatorial positions are roughly perpendicular to the axis.
Step 3: For the first chair conformation, place the substituent with the solid wedge in an axial position pointing up and the substituent with the dashed wedge in an equatorial position pointing down. Ensure the stereochemistry (cis–trans) is preserved.
Step 4: For the second chair conformation, flip the chair. This will result in the substituent with the solid wedge occupying an equatorial position pointing up and the substituent with the dashed wedge occupying an axial position pointing down. Again, ensure the stereochemistry is preserved.
Step 5: Verify that both chair conformations clearly show the cis–trans relationship between the substituents. The solid wedge substituent should always point up, and the dashed wedge substituent should always point down, regardless of whether they are axial or equatorial.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Chair Conformation
The chair conformation is a three-dimensional arrangement of cyclohexane that minimizes steric strain and torsional strain. It allows for the most stable positioning of substituents on the ring, with axial and equatorial orientations. Understanding this conformation is crucial for visualizing how substituents affect the overall stability and reactivity of cyclohexane derivatives.
Cis-trans stereochemistry refers to the spatial arrangement of substituents around a double bond or a ring structure. In cis isomers, substituents are on the same side, while in trans isomers, they are on opposite sides. This concept is essential for determining the correct chair conformations, as the positioning of substituents influences the stability and energy of the molecule.
Stereoisomerism is a form of isomerism where molecules have the same molecular formula and connectivity but differ in the spatial arrangement of atoms. This includes both geometric isomers (like cis and trans) and optical isomers. Recognizing stereoisomers is vital for accurately drawing and interpreting the different chair conformations, as it affects the physical and chemical properties of the compounds.