Chapter 15.1, Problem 2P

(a)

Interpretation Introduction

Interpretation:

The magnetic field required to flip an ${}^1\text{H}$ nucleus has to be calculated.

Concept Introduction:

The splitting of the energy states or the energy difference between the spin states depends upon the operating frequency of the spectrometer and the external magnetic field applied.

The relation between the operating frequency and the applied magnetic field is given as,

$v=\frac{\gamma }{2\pi }{B}_{\circ }$ (1)

Here,

$v$ is the operating frequency.

$B_{\circ }$ is the applied magnetic field.

$\gamma$ is the gyromagnetic ratio.

The value of the gyromagnetic ratio $\left(\gamma \right)$ for proton is $2.675\times {10}^8{\text{ T}}^{-1}{\text{s}}^{-1}$.

(b)

Interpretation Introduction

Interpretation:

The magnetic field required to flip an ${}^1\text{H}$ nucleus has to be calculated.

Concept introduction:

The splitting of the energy states or the energy difference between the spin states depends upon the operating frequency of the spectrometer and the external magnetic field applied.

The relation between the operating frequency and the applied magnetic field is given as,

$v=\frac{\gamma }{2\pi }{B}_{\circ }$ (1)

Here,

$v$ is the operating frequency.

$B_{\circ }$ is the applied magnetic field.

$\gamma$ is the gyromagnetic ratio.

The value of the gyromagnetic ratio $\left(\gamma \right)$ for proton is $2.675\times {10}^8{\text{ T}}^{-1}{\text{s}}^{-1}$.