Chapter 16, Problem 16.21E

Interpretation Introduction

Interpretation:

The splitting of two adjacent ESR lines caused by hyperfine coupling is equal to $a$ is to be shown.

Concept introduction:

Electron spin resonance is the method to study the materials with an unpaired electron. An unpaired electron absorbs the microwave radiation under the strong magnetic field. The difference between two energy levels is calculated by the formula shown below.

$\Delta E_{\text{mag}}=g_{\text{e}}\cdot {\mu }_{\text{B}}\cdot B$

Where,

• $g_{\text{e}}$ is the magnetic moment for a free electron.

• ${\mu }_{\text{B}}$ is the Bohr magneton.

• $B$ is the magnetic field strength.