Chapter 16, Problem 16.44P

Interpretation Introduction

Interpretation:

The gyromagnetic ratio for a ${}^{13}\text{C}$ nucleus is to be calculated.

Concept introduction:

A spectrometer’s operational frequency (${\text{ν}}_{\text{op}}$) is the frequency at which a proton absorbs radiation when subjected to the spectrometer’s magnetic field given by the equation:

${\text{ν}}_{op}\text{ = }\frac{\gamma B_{ext}}{2\pi }$

where ${\text{ν}}_{\text{op}}$ is the operational frequency, $\gamma$ is the gyromagnetic ratio which is constant, and ${\text{B}}_{\text{ext}}$ is the external magnetic field. Operating frequency is constant for a given magnetic field strength.