Chapter 11, Problem 11B.14E

Interpretation Introduction

Interpretation:

Frequency of the transition $J=12\leftarrow 11$ IN in the given microwave spectrum has to be determined.

Concept Introduction:

Under the stress of rotation, molecules tend to distort and hence molecules are not rigid rotors. Therefore, the total energy of energy of a linear rotor depends on both rotational and centrifugal distortion constants.

  $\begin{array}{c}\text{E}\left(J\right)\text{= }hBJ\left(J+1\right)-hD{J}^2{\left(J+1\right)}^2\\ \\ \text{where,}\\ \text{I = Rotational constant}\\ \text{D}\text{= Centrifugal distortion constant}\end{array}$

Planck’s equation,

  $\begin{array}{c}\text{E}\text{=}\text{hν}\\ \\ \text{where, ν}=\text{frequency}\end{array}$

The energy increases as the frequency of the light increases.