Difference between revisions of "Nuclear Magnetic Resonance"
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+ | ==<div align="center"><big>Nuclear Magnetic Resonance Project</big></div> == | ||
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+ | The magnetic moment of a nucleon is sometimes expressed in terms of its g-factor (a dimensionless scalar) as <math>\mu=\tfrac{g\mu_{_N}}{\hbar}I</math>, where <math>\mu</math> is an intrinsic magnetic moment, <math>\mu_{_N}</math> is the nuclear magneton and is given by <math>\mu_{_N}=\tfrac{e \hbar}{2 m}</math>, <math>g</math> is the nucleon's g-factor, <math>I</math> is the nucleon's spin angular momentum number and <math>m</math> is the nucleon's mass. The <math>^1H</math> Hydrogen/Proton Gyromagnetic Ratio, <math>\gamma_{_P}</math>, is equal to <math>\tfrac{g_{_P} \mu_{_N}}{\hbar}</math>.<br> | ||
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+ | <math>g_{_P}=5.585\; 694\; 702(17) </math> The proton's g-factor<br><br> | ||
+ | <math>\frac{\mu_{_N}}{\hbar}= 7.622\; 593\; 285(47)\text{ MHZ/T}</math> <br> | ||
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+ | So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math><br> | ||
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+ | Larmor Frequency: <math>\omega_{_0}=\gamma H_{_0}</math> | ||
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+ | 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'') | ||
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+ | [[- The Resonance Condition]] | ||
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+ | [[- Spin-Lattice Relaxation Time]] | ||
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+ | [[- Spin-Spin Interactions]] | ||
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+ | [[- Saturation]] | ||
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+ | [[- Magnetic Susceptibilities]] | ||
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+ | [[- Conditions for Observation of NMR Absorption]] | ||
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Links and Info: | Links and Info: | ||
− | [[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf | - A Bridged Tee Detector for | + | [[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf | - A Bridged Tee Detector for NMR - Waring]] |
Latest revision as of 18:41, 18 February 2019
Nuclear Magnetic Resonance Project
The magnetic moment of a nucleon is sometimes expressed in terms of its g-factor (a dimensionless scalar) as , where is an intrinsic magnetic moment, is the nuclear magneton and is given by , is the nucleon's g-factor, is the nucleon's spin angular momentum number and is the nucleon's mass. The Hydrogen/Proton Gyromagnetic Ratio, , is equal to .
The proton's g-factor
So,
Larmor Frequency:
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)
- Spin-Lattice Relaxation Time
- Conditions for Observation of NMR Absorption
Links and Info: