Chapter 16, Problem 16.2P

Interpretation Introduction

Interpretation:

The energy difference between the $\text{α}$ and $\text{β}$ spin states in the magnetic field of $\text{7}\text{.046 T}$ is to be calculated.

Concept introduction:

The difference in energy between the two spin states of a proton is given by the equation:

${\text{ΔE}}_{\text{spin}}\text{ =}\frac{{\text{ γhB}}_{\text{ext}}}{\text{2π}}{\text{ = (constant) × B}}_{\text{ext}}$

Here, ${\text{B}}_{\text{ext}}$ (external magnetic field) is in units of tesla (T), h is Planck’s constant $\text{(6}\text{.626 }\times {\text{ 10}}^{\text{-34}}\text{ J}·\text{s)}$, and $\text{γ}$ is the gyromagnetic ratio $\text{(2}\text{.67512 }\times {\text{ 10}}^{\text{8}}{\text{ T}}^{\text{-1}}{\text{ s}}^{\text{-1}})$.