Chapter 7, Problem 7E.16P

Interpretation Introduction

Interpretation:

For small displacements, the motion of ${\text{CH}}_{\text{3}}$ group relative to its neighbour in ethane is harmonic has to be shown.  An expression for the energy of excitation from $v=0$ to $v=1$ has to be derived.  The effect of increase of quantum numbers on the energy levels and wavefunctions has to be predicted.

Concept introduction:

A harmonic oscillator consists of a particle of mass $m$ that undergoes a restoring force which is proportional to its amplitude $x$. The restoring force is represented by $k_{\text{f}}$ which is known as the force constant.