Chapter 16, Problem 16.10P

Interpretation Introduction

Interpretation:

The operating frequency of an NMR spectrometer using a magnet whose strength is $\text{11}\text{.74 T}$ is to be calculated. The answer is to be given in units MHz.

Concept introduction:

The spectrometer’s operating frequency is the frequency at which a bare proton absorbs radiation when subjected to the spectrometer’s magnetic field. ${\nu }_{\text{op}}$ is the operating frequency of the NMR spectrometer. The operating frequency is constant for a particular magnetic field strength. The operating frequency is calculated by using the formula

${\text{ν}}_{\text{op}}=\frac{{\text{γB}}_{\text{ext}}}{\text{2π}}$

The gyromagnetic ratio ($\text{γ}$) is a constant, and its value is $\text{2}\text{.67512 }\times {\text{10}}^{\text{8}}{\text{ T}}^{\text{-1}}{s}^{-1}$.