Structural isomers can have very different point groups. Determine the point groups of 1 , 4 − cyclohexadiene and 1 , 3 − cyclohexadiene , which both have the molecular formula C 6 H 8 . | bartleby

Physical Chemistry

2nd Edition

Ball + 3 others

Publisher: Wadsworth Cengage Learning,

ISBN: 9781133958437

Chapter 13, Problem 13.30E

Textbook Problem

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Structural isomers can have very different point groups. Determine the point groups of 1 , 4 − cyclohexadiene and 1 , 3 − cyclohexadiene , which both have the molecular formula C 6 H 8 .

Interpretation Introduction

Interpretation:

The point groups of 1,4−cyclohexadiene and 1,3−cyclohexadiene is to be identified.

Concept introduction:

Group theory is the area of mathematics, which deals with symmetry and point groups.

A group is a collection of operations that satisfies certain mathematical characteristics.

In a molecule, the collection of symmetry elements forms a point group. All molecules possess structure that belongs to one of the recognised point groups.

Explanation of Solution

Structural isomers consist of same chemical formula but the sequence of atoms to each other is different. The compounds 1,4−cyclohexadiene and 1,3−cyclohexadiene, both have the molecular formula C6H8 and are structural isomers of each other.

The isomer 1,4−cyclohexadiene has the following elements of symmetry:

Identity element E, the proper rotational axis C2 and two vertical planes of symmetry σv and σv'.

Figure 1

Therefore, using the flowchart, which determines the point groups, it belongs to the C2v point group

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Chapter 13 Solutions

Physical Chemistry

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