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Angular Momentum
 
A vector quantity given by the vector product of the momentum of a particle and its position vector. In the absence of external forces, the angular momentum remains constant, with the result that any rotating body tends to maintain the same axis of rotation. In the presence of torque applied to a rotating body in such a way as to change the direction of the rotation axis, the resulting change in angular momentum results in precession. Atomic nuclei possess an intrinsic angular momentum referred to as spin, measured in multiples of Planck's constant.
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Angular Momentum of a Particle
   by hyperphysics.phy-astr.gsu.edu    
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Gyromagnetic Ratio
 
A constant for any given nucleus that relates the nuclear MR frequency and the strength of the external magnetic field.
Definition: The ratio of the magnetic moment (field strength = T) to the angular momentum (frequency = ν) of a particle.
The gyromagnetic effect happens if a magnetic substance is subjected to a magnetic field. Upon a change in direction of the magnetic field, the magnetization of the substance must change. In order for this to happen, the atoms must change their angular momentum. Since there are no external torques acting on the system, the total angular momentum must remain constant. This mass rotation may be measured. The gyromagnetic ratio is different for each nucleus of different atoms. The value of the gyromagnetic ratio for hydrogen (1H) is 4,258 (Hz/G) (42.58 MHz/T).
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Electron and proton gyromagnetic ratios
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Planck
 
An MKS unit of energy expended over time or of angular momentum.
Definition: 1 planck is equal to 1 joule second (J * s) or about 0.7375 foot pound second (ft * lb * s).
Atomic nuclei possess an intrinsic angular momentum referred to as spin, measured in multiples of Planck's constant. The unit is named for the German physicist Max Planck.
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Spin Quantum Number
 
(I) Property of all nuclei related to the largest measurable component of the nuclear angular momentum. Non-zero values of nuclear angular momentum are quantized (fixed) as integral or half-integral multiples of (h/2p), where h is Planck's constant. The number of possible energy levels for a given nucleus in a fixed magnetic field is equal to 2I + 1. Similarly, an unpaired electron has a spin of 1/2 and two possible energy levels.
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Electron Spin
   by hyperphysics.phy-astr.gsu.edu    
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Quantum Numbers and the Periodic Table
   by dwb4.unl.edu    
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Nuclear Spin
 
An intrinsic property of certain nuclei that gives them an associated characteristic angular momentum and magnetic moment also known as inherent spin (those with odd numbers of protons and/or neutrons in their nucleus). Nuclei that do not exhibit this characteristic will not produce a NMR signal.
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