Nuclear Magnetic Resonance - Revision history

Bsboggs: /* Basic Theory */

2019-02-19T02:41:00Z

‎Basic Theory

Bsboggs: /* Nuclear Magnetic Resonance Project */

2019-02-14T02:26:27Z

‎Nuclear Magnetic Resonance Project

Bsboggs: /* Nuclear Magnetic Resonance Project */

2019-02-13T19:44:13Z

‎Nuclear Magnetic Resonance Project

Bsboggs at 01:47, 8 February 2019

2019-02-08T01:47:05Z

Bsboggs at 23:44, 5 February 2019

2019-02-05T23:44:29Z

Bsboggs at 23:20, 5 February 2019

2019-02-05T23:20:30Z

Bsboggs at 23:14, 5 February 2019

2019-02-05T23:14:55Z

Bsboggs at 22:51, 4 February 2019

2019-02-04T22:51:25Z

Bsboggs at 22:47, 4 February 2019

2019-02-04T22:47:52Z

Bsboggs at 18:03, 1 February 2019

2019-02-01T18:03:55Z

← Older revision		Revision as of 02:41, 19 February 2019
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	Links and Info:		Links and Info:

−	[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for ~~MNR~~ - Waring]]	+	[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for NMR - Waring]]

← Older revision		Revision as of 02:26, 14 February 2019
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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 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>	+	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>

	<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>

← Older revision		Revision as of 19:44, 13 February 2019
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	So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math><br>		So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math><br>
		+
		+	Larmor Frequency: <math>\omega_{_0}=\gamma H_{_0}</math>

	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.		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.

@@ Line 10: / Line 10: @@
 So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math><br>
-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.
+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===

@@ Line 8: / Line 8: @@
 <math>\frac{\mu_{_N}}{\hbar}= 7.622\; 593\; 285(47)\text{ MHZ/T}</math> <br>
-So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math>
+So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math><br>
 ----
-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.
+[[- Spin-Lattice Relaxation Time]]

← Older revision		Revision as of 23:20, 5 February 2019
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	So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math>		So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math>
		+	----

		+	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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	[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for MNR - Waring]]		[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for MNR - Waring]]
−
−
−	~~----~~
−
−	~~Our magnet will produce fields up to ~ 0.7T.~~

← Older revision		Revision as of 23:14, 5 February 2019
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	[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for MNR - Waring]]		[[Media:A_Bridged_Tee_Detector_for_NMR_-_Waring.pdf \| - A Bridged Tee Detector for MNR - Waring]]
		+
		+
		+	----
		+
		+	Our magnet will produce fields up to ~ 0.7T.

← Older revision		Revision as of 22:51, 4 February 2019
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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>

← Older revision		Revision as of 22:47, 4 February 2019
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−	~~<div align="center"><big>Nuclear Magnetic Resonance Project</big></div>~~

−	~~The~~ <~~math~~>~~^1H~~<~~/math> Gyromagnetic Ratio, <math>\gamma_{_P}</math>, is equal to <math~~>~~\frac{\mu_{_P}}{I_{_P}\,\hbar}~~</~~math>, where <math>\mu_{_P}</math> is the proton magnetic moment and <math~~>~~I_{_P}~~</~~math~~> ~~is the proton spin number.~~	+	==<div align="center"><big>Nuclear Magnetic Resonance Project</big></div> ==


		+	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>

		+	<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>

		+	So, <math>\gamma_{_P}=42.577\; 478\; 92(29)\text{MHz/T}</math>

← Older revision		Revision as of 18:03, 1 February 2019
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	<div align="center"><big>Nuclear Magnetic Resonance Project</big></div>		<div align="center"><big>Nuclear Magnetic Resonance Project</big></div>

		+	The <math>^1H</math> Gyromagnetic Ratio, <math>\gamma_{_P}</math>, is equal to <math>\frac{\mu_{_P}}{I_{_P}\,\hbar}</math>, where <math>\mu_{_P}</math> is the proton magnetic moment and <math>I_{_P}</math> is the proton spin number.