Gyromagnetic ratio

From NMR Wiki

Revision as of 20:15, 16 April 2008 by Nick Kuzma (Talk | contribs)
(diff) ←Older revision | Current revision (diff) | Newer revision→ (diff)
Jump to: navigation, search

The formula is:

 \gamma = \frac{e}{2m_p}g = g \mu_\mathrm{N}/\hbar,

where μN is the nuclear magneton, and g is the g-factor of the nucleon or nucleus in question.

The gyromagnetic ratio of a nucleus is particularly important because of the role it plays in Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI). These procedures rely on the fact that nuclear spins precess in a magnetic field at a rate called the Larmor frequency, which is simply the product of the gyromagnetic ratio with the magnetic field strength.

Approximate values for some common nuclei are given in the Table below.<ref>Template:Cite book</ref>

Nucleus γ / 2π (MHz/T)
1H 42.576
3He -32.434
7Li 16.546
13C 10.705
14N 3.0766
15N -4.3156
17O -5.7716
23Na 11.262
31P 17.235
129Xe -11.777
Personal tools