Difference between revisions of "Nuclear Magnetic Resonance"
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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=\frac{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}=\frac{e \hbar}{2 m}</math>, <math>g</math> is the nucleon's g-factor, <math>I</math> is the nucleon's spin 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>\frac{g_{_P} \mu_{_N}}{\hbar}</math>.<br> | + | The magnetic moment of a nucleon is sometimes expressed in terms of its g-factor (a dimensionless scalar) as <math>\mu=\frac{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}=\frac{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>\frac{g_{_P} \mu_{_N}}{\hbar}</math>.<br> |
<math>g_{_P}=5.585\; 694\; 702(17) </math> The proton's g-factor<br><br> | <math>g_{_P}=5.585\; 694\; 702(17) </math> The proton's g-factor<br><br> | ||
Revision as of 14:51, 4 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 Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle m}
is the nucleon's mass. The Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle ^{1}H}
Hydrogen/Proton Gyromagnetic Ratio, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \gamma _{_{P}}}
, is equal to .
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle g_{_{P}}=5.585\;694\;702(17)}
The proton's g-factor
So, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \gamma _{_{P}}=42.577\;478\;92(29){\text{MHz/T}}}
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