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 $m$ is the nucleon's mass. The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): 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}}

Larmor Frequency: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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.

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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