Chapter 13, Problem 13C.2E

(a)

Interpretation Introduction

Interpretation:

For electrons, the value of $\left({\text{N}}_{\text{α}}\text{-}{\text{N}}_{\text{β}}\right)\text{/}\text{N}$ has to be calculated.

Concept Introduction:

For an electron, the relation between populations of the $\text{α and β}$ states, ${\text{N}}_{\text{α}}{\text{ and N}}_{\text{β}}$ is given by,

  ${\text{N}}_{\text{α}}{\text{-N}}_{\text{β}}\text{ = }\frac{{\text{Ng}}_{\text{c}}{\text{μ}}_{\text{B}}{\text{B}}_{\text{0}}}{\text{2kT}}$

Where,

${\text{N}}_{\text{α}}{\text{ and N}}_{\text{β}}$ are the populations of the $\text{α and β}$ states.

N is the total number of spins.

${\text{B}}_{\text{0}}$ is the magnetic field

${\text{g}}_{\text{c}}$ is the factor.

k is the Boltzmann’s constant

T is the temperature.

(b)

Interpretation Introduction

Interpretation:

For electrons, the value of $\left({\text{N}}_{\text{α}}\text{-}{\text{N}}_{\text{β}}\right)\text{/}\text{N}$ has to be calculated.

Concept Introduction:

For an electron, the relation between populations of the $\text{α and β}$ states, ${\text{N}}_{\text{α}}{\text{ and N}}_{\text{β}}$ is given by,

  ${\text{N}}_{\text{α}}{\text{-N}}_{\text{β}}\text{ = }\frac{{\text{Ng}}_{\text{c}}{\text{μ}}_{\text{B}}{\text{B}}_{\text{0}}}{\text{2kT}}$

Where,

${\text{N}}_{\text{α}}{\text{ and N}}_{\text{β}}$ are the populations of the $\text{α and β}$ states.

N is the total number of spins.

${\text{B}}_{\text{0}}$ is the magnetic field

${\text{g}}_{\text{c}}$ is the factor.

k is the Boltzmann’s constant

T is the temperature.