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 $\mu ={\frac {g\mu _{_{N}}}{\hbar }}I$ , where $\mu$ is an intrinsic magnetic moment, $\mu _{_{N}}$ is the nuclear magneton and is given by $\mu _{_{N}}={\frac {e\hbar }{2m}}$ , $g$ is the nucleon's g-factor, $I$ is the nucleon's spin angular momentum number and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m} is the nucleon's mass. The Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ^1H} Hydrogen/Proton Gyromagnetic Ratio, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \gamma_{_P}} , is equal to Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{g_{_P} \mu_{_N}}{\hbar}} .

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle g_{_P}=5.585\; 694\; 702(17) } The proton's g-factor

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\mu_{_N}}{\hbar}= 7.622\; 593\; 285(47)\text{ MHZ/T}}

So, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}}

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.