Chapter 12, Problem 12A.1P

Interpretation Introduction

Interpretation:

The NMR frequency of the neutron in the given spectrometer has to be stated.  The relative population difference at room temperature has to be stated.  The lower energy spin state of the neutron has to be stated.

Concept introduction:

The frequency of electromagnetic radiation is given by resonance condition.  This resonance condition gives an equation that relates the frequency of nuclei with the magnetic field.  The frequency of a nuclei is given by the equation as shown below.

  $\text{ν = }\frac{{\text{γ}}_{\text{N}}{\text{B}}_{\text{o}}}{\text{2π}}\text{.}$

The above stated frequency is known as the Larmor precession frequency.  Larmor precession is a phenomenon in which the magnetic moment of nuclei processes about an external magnetic field.