Chapter 14, Problem 14.39E

Interpretation Introduction

Interpretation:

The equation $E_{J+1}-E_J=2B\left(J+1\right)-4D_J{\left(J+1\right)}^3$ is to be verified.

Concept introduction:

The rotational energy of a molecule is given by an expression shown below.

$E_{\text{rot}}=BJ\left(J+1\right)-D_J{J}^2{\left(J+1\right)}^2$

Where,

• $B$ is the rotational constant.

• $D_J$ is the centrifugal distortion constant.

• $J$ is the quantum number of lower energy rotational state.