Chapter 16, Problem 16.39E

Interpretation Introduction

Interpretation:

Whether the NMR transitions from $M_l=-\frac{1}{2}$ to $M_l=+\frac{1}{2}$ appear at the same wavelengths or different wavelengths from the $M_l=+\frac{1}{2}$ to $M_l=+\frac{3}{2}$ transition of the same nucleus are to be predicted and justified mathematically.

Concept introduction:

Spectroscopy based on the splitting of $M_l$ levels of a nuclei is termed as nuclear magnetic resonance or NMR. The splitting is dur to the similar behaviour of nucleus as the electron. Like electrons, nucleus have nonzero spin and a magnetic dipole associated with it. This leads to splitting in an external magnetic field.