Chapter 5, Problem 5.54P

Interpretation Introduction

(a)

Interpretation: All the possible stereoisomers of the given compound has to be drawn and among these stereoisomers the pair of enantiomers and diastereomers and meso compound if any has to be labelled.

Concept introduction: Stereoisomers are those compounds which have same molecular formula but different orientation of atoms in space. Enantiomers are the non-superimposable mirror images of each other while diastereomers are not mirror images of each other. Meso compounds are optically inactive compounds which contain two or more than two chiral centres. The total number of stereoisomers for an unsymmetrical molecule $=2^n$ where, n is the number of chiral centers in the compound. A carbon atom bonded to four different substituents is called a stereogenic center.

Interpretation Introduction

(b)

Interpretation: All the possible stereoisomers of the given compound has to be drawn and among these stereoisomers the pair of enantiomers and diastereomers and meso compound if any has to be labelled.

Concept introduction: Stereoisomers are those compounds which have same molecular formula but different orientation of atoms in space. Enantiomers are the non-superimposable mirror images of each other while diastereomers are not mirror images of each other. Meso compounds are optically inactive compounds which contain two or more than two chiral centres. The total number of stereoisomers for an unsymmetrical molecule $=2^n$ where, n is the number of chiral centers in the compound. A carbon atom bonded to four different substituents is called a stereogenic center. The total number of stereoisomers for symmetrical molecules containing even number of chiral centers can be calculated as follows:

Number of optically active stereoisomers = $2^{n-1}$

Number of meso compounds = $2^{\frac{n-2}{2}}$

Total number of stereoisomers = Number of optically active stereoisomers + Number of meso compounds

Interpretation Introduction

(c)

Interpretation: All the possible stereoisomers of the given compound has to be drawn and among these stereoisomers the pair of enantiomers and diastereomers and meso compound if any has to be labelled.

Concept introduction: Stereoisomers are those compounds which have same molecular formula but different orientation of atoms in space. Enantiomers are the non-superimposable mirror images of each other while diastereomers are not mirror images of each other. Meso compounds are optically inactive compounds which contain two or more than two chiral centres. The total number of stereoisomers for an unsymmetrical molecule $=2^n$ where, n is the number of chiral centers in the compound. A carbon atom bonded to four different substituents is called a stereogenic center.

Interpretation Introduction

(d)

Interpretation: All the possible stereoisomers of the given compound has to be drawn and among these stereoisomers the pair of enantiomers and diastereomers and meso compound if any has to be labelled.

Concept introduction: Stereoisomers are those compounds which have same molecular formula but different orientation of atoms in space. Enantiomers are the non-superimposable mirror images of each other while diastereomers are not mirror images of each other. Meso compounds are optically inactive compounds which contain two or more than two chiral centres. The total number of stereoisomers $=2^n$ where, n is the number of chiral centers in the compound. A carbon atom bonded to four different substituents is called a stereogenic center.

The total number of stereoisomers for symmetrical molecules containing odd number of chiral centers can be calculated as follows:

Total number of stereoisomers = $2^{n-1}$

Number of meso compounds = $2^{\frac{n-1}{2}}$

Number of optically active stereoisomers = $2^{n-1}-2^{\frac{n-1}{2}}$