Chapter 16: Problem 41
Draw all possible stereoisomers of 2,4 -heptadiene and label each double bond as \(E\) or \(Z\).
Short Answer
Expert verified
There are four stereoisomers: (Z,Z), (Z,E), (E,Z), (E,E).
Step by step solution
01
Understand the Molecule
The molecule 2,4-heptadiene is a seven-carbon chain with two double bonds located at the 2nd and 4th positions. The structure can be visualized as CH3-CH=CH-CH=CH-CH2-CH3.
02
Analyze Stereocenters of the Double Bonds
The double bonds at the 2nd and 4th positions can lead to geometric isomerism. Each double bond can have two configurations: either the highest priority substituents on each carbon are on the same side (Z) or on opposite sides (E).
03
Assign Priorities to Substituents
Using Cahn-Ingold-Prelog priority rules, assign priorities based on atomic numbers. For the C2=C3 double bond: compare groups CH3 (on C2) vs H and CH3 (on C3) vs CH2-. For the C4=C5 double bond, compare groups CH2CH= (on C4) vs H and CH=CH2 (on C5) vs CH3.
04
Determine E/Z Configuration for C2=C3
For the C2=C3 bond, the higher priority groups (CH3 on C2 and CH2- on C3) are on the same side, resulting in a (Z) configuration.
05
Determine E/Z Configuration for C4=C5
For the C4=C5 bond, the higher priority groups (CH2= on C4 and CH=CH2 on C5) are on opposite sides, resulting in an (E) configuration.
06
Enumerate the Stereoisomers
Each double bond can independently be either E or Z, resulting in four possible stereoisomers: (Z,Z), (Z,E), (E,Z), and (E,E). These correspond to: 1) (Z,Z) both double bonds with Z configuration, 2) (Z,E) the first bond Z and the second bond E, 3) (E,Z) the first bond E and the second bond Z, 4) (E,E) both bonds with E configuration.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Geometric Isomerism
Geometric isomerism is a type of stereoisomerism related to the orientation of groups around a double bond. In compounds like 2,4-heptadiene, which contain double bonds, this isomerism occurs due to the restricted rotation around these double bonds. When you picture a double bond, imagine it as a fixed plane where bonded atoms or groups can be "locked" either on the same side or opposite sides. This results in two different spatial arrangements:
- Z (cis): Both higher priority groups on the same side.
- E (trans): Higher priority groups on opposite sides.
Cahn-Ingold-Prelog Priority Rules
The Cahn-Ingold-Prelog (CIP) priority rules are essential for determining the proper nomenclature of double-bonded compounds like 2,4-heptadiene. These rules help us assign priorities to the substituents attached to the carbons of a double bond, based on the atomic number of the atoms directly attached. Here’s a simplified way of using the rules:
- First, look at the atoms directly bonded to the double-bonded carbons. The atom with the higher atomic number gets higher priority.
- If initial atoms are the same, move to the next atoms along the chain until a difference is found.
- Consider double or triple bonds as ordinary single bonds but count them multiple times depending on the bond order.
E/Z Nomenclature
E/Z nomenclature allows chemists to capture the specific stereochemistry around double bonds in organic molecules. This system is important for compounds like 2,4-heptadiene where multiple geometric isomers exist due to the presence of two double bonds. Here's how the E/Z system works:
- First, use the CIP priority rules to determine the priority of substituents on the double-bonded carbons.
- If the higher priority substituents are on the same side of the double bond, it is designated as Z (from the German word "zusammen" meaning "together").
- If they are on opposite sides, it is designated as E (from the German word "entgegen" meaning "opposite").