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 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 \mu=\frac{g\mu_{_N}}{\hbar}I} , where 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 \mu} is an intrinsic magnetic moment, 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 \mu_{_N}} is the nuclear magneton and is given by 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 \mu_{_N}=\frac{e \hbar}{2 m}} , 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} is the nucleon'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 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 ${\frac {g_{_{P}}\mu _{_{N}}}{\hbar }}$.

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

${\frac {\mu _{_{N}}}{\hbar }}=7.622\;593\;285(47){\text{ MHZ/T}}$

So, 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.

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Basic Theory

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

- The Resonance Condition

- Spin-Lattice Relaxation Time

- Spin-Spin Interactions

- Saturation

- Magnetic Susceptibilities

- Conditions for Observation of NMR Absorption

NMR Video

Links and Info:

- A Bridged Tee Detector for MNR - Waring