Nuclear Magnetic Resonance

Nuclear Magnetic Resonance Project

The magnetic moment of a nucleon is sometimes expressed in terms of its g-factor (a dimensionless scalar) as $\mu=\tfrac{g\mu_{_N}}{\hbar}I$, where $\mu$ is an intrinsic magnetic moment, $\mu_{_N}$ is the nuclear magneton and is given by $\mu_{_N}=\tfrac{e \hbar}{2 m}$, $g$ is the nucleon's g-factor, $I$ is the nucleon's spin angular momentum number and $m$ is the nucleon's mass. The $^1H$ Hydrogen/Proton Gyromagnetic Ratio, $\gamma_{_P}$, is equal to $\tfrac{g_{_P} \mu_{_N}}{\hbar}$.

$g_{_P}=5.585\; 694\; 702(17)$ The proton's g-factor

$\frac{\mu_{_N}}{\hbar}= 7.622\; 593\; 285(47)\text{ MHZ/T}$

So, $\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}$

Larmor Frequency: $\omega_{_0}=\gamma H_{_0}$

Our magnet will produce fields up to ~ 0.7T. This allows for transverse field frequencies up to ~ 30MHz. We employ a bridged-tee detector (Waring - 1952) to observe the NMR signal.

Basic Theory

(for more detailed explanations see Nuclear Magnetic Resonance - Andrew)