Difference between revisions of "Nuclear Magnetic Resonance"

From Advanced Projects Lab
Jump to: navigation, search
(Basic Theory)
 
(10 intermediate revisions by the same user not shown)
Line 1: Line 1:
<div align="center"><big>Nuclear Magnetic Resonance Project</big></div>
 
  
 +
==<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=\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>\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><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.
 +
----
 +
===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]]
  
  
Line 8: Line 35:
 
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]]

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)

- 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 NMR - Waring