Chapter 16, Problem 16.9E

Interpretation Introduction

Interpretation:

The magnetic field that is needed to obtain a $\Delta E$ value of $\text{1}\text{.0}{\text{cm}}^{-\text{1}}$ between the highest and lowest levels of an ${}^{\text{1}}\text{F}$ state is to be stated.

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 so the change in energy $\left(\Delta E\right)$ can be positive, negative or zero.