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 $\mu _{_{N}}={\tfrac {e\hbar }{2m}}$ , $g$ is the nucleon's g-factor, $I$ is the nucleon's spin angular momentum number and $m$ is the nucleon's mass. The $^{1}H$ 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.