Chapter 11, Problem 11C.2E

(a)

Interpretation Introduction

Interpretation:

Number of vibrational modes in $N{O}_2$ has to be determined.

Concept Introduction:

Number of vibrational modes in a polyatomic molecule is given by,

  $\begin{array}{c}{\text{N}}_{\text{vib}}\text{= 3N}-\text{6}\left(\text{For nonlinear molecules}\right)\\ \\ {\text{N}}_{\text{vib}}\text{= 3N}-5\left(\text{For linear molecules}\right)\\ \\ where,\text{ N is the no}\text{. of atoms}\end{array}$

(b)

Interpretation Introduction

Interpretation:

Number of vibrational modes in $N_{2}O$ has to be determined.

Concept Introduction:

Number of vibrational modes in a polyatomic molecule is given by,

  $\begin{array}{c}{\text{N}}_{\text{vib}}\text{= 3N}-\text{6}\left(\text{For nonlinear molecules}\right)\\ \\ {\text{N}}_{\text{vib}}\text{= 3N}-5\left(\text{For linear molecules}\right)\\ \\ where,\text{ N is the no}\text{. of atoms}\end{array}$

(c)

Interpretation Introduction

Interpretation:

Number of vibrational modes in cyclohexane has to be determined.

Concept Introduction:

Number of vibrational modes in a polyatomic molecule is given by,

  $\begin{array}{c}{\text{N}}_{\text{vib}}\text{= 3N}-\text{6}\left(\text{For nonlinear molecules}\right)\\ \\ {\text{N}}_{\text{vib}}\text{= 3N}-5\left(\text{For linear molecules}\right)\\ \\ where,\text{ N is the no}\text{. of atoms}\end{array}$

(d)

Interpretation Introduction

Interpretation:

Number of vibrational modes in hexane has to be determined.

Concept Introduction:

Number of vibrational modes in a polyatomic molecule is given by,

  $\begin{array}{c}{\text{N}}_{\text{vib}}\text{= 3N}-\text{6}\left(\text{For nonlinear molecules}\right)\\ \\ {\text{N}}_{\text{vib}}\text{= 3N}-5\left(\text{For linear molecules}\right)\\ \\ where,\text{ N is the no}\text{. of atoms}\end{array}$