Chapter 16, Problem 16.12E

Interpretation Introduction

Interpretation:

The Lande $g$ factor for a $\text{D}{}_{\text{4}}$ state of the $\text{Fe}$ atom using both equations $16.12$ and $16.13$ is to be calculated.

Concept Introduction:

The change in energy $\left(\Delta E\right)$ of the state depends on the strength of the magnetic field $\left(B\right)$ and the z-component quantum number $\left(M_L\right)$ in the presence of magnetic field. The expression for the change in energy $\left(\Delta E\right)$ is written below.

$\Delta E={\text{μ}}_B\cdot M_L\cdot B$

The value of $\left(M_L\right)$ can be positive, negative or zero. Hence, the change in energy $\left(\Delta E\right)$ can be positive, negative or zero. The change in energy $\left(\Delta E\right)$ of the state is equal to the amount of splitting.