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Gyromagnetic Ratio is defined by:

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

where <math>\displaystyle e</math> is the magnitude of electron charge, <math>\displaystyle m_p</math> is the proton mass, <math>\displaystyle \hbar</math> is reduced Planck constant, <math>\displaystyle \mu_\mathrm{N}</math> is the [[nuclear magneton]], and <math>\displaystyle g</math> is the [[g-factor]] of the nucleon or nucleus in question.

Approximate values for some common nuclei are given in the Table below.<ref>{{
cite book
| author = M A Bernstein, K F King and X J Zhou
| year = 2004
| title = Handbook of MRI Pulse Sequences
| place = San Diego
| publisher = Elsevier Academic Press
| page = 960
| isbn= 0-1209-2861-2
}}</ref>

{|border=1
|-
! species
! <i>γ / 2π</i> (MHz/T) <cite>nistval</cite>
|-
|free electron
|2.80249536 x 10<sup>4</sup> <cite>niste</cite>
|-
| <sup>1</sup>H
| 42.576
|-
|<sup>2</sup>D
|6.53593
|
|-
| <sup>3</sup>He
| -32.434 
|-
| <sup>7</sup>Li
| 16.546
|-
| <sup>13</sup>C
| 10.705
|-
| <sup>14</sup>N
| 3.0766
|-
| <sup>15</sup>N
| -4.3156
|-
| <sup>17</sup>O
| -5.7716
|-
| <sup>19</sup>F
| 40.0593
|-
| <sup>23</sup>Na
| 11.262
|-
| <sup>31</sup>P
| 17.235
|
|-
| <sup>75</sup>As
|7.2919
|
|-
| <sup>129</sup>Xe
| -11.777
|-
|}

For information on individual chemical elements please use [[NMR and EPR Periodic Table]]

To find NMR frequency of your favorite nucleus at a given magnetic field, see Alex Jerschow's on-line [http://www.nyu.edu/cgi-bin/cgiwrap/aj39/NMRmap.cgi Interactive NMR Frequency Map]

==References==
<biblio>
#nistval values are divided by 2*pi, those in nist tables are not
#niste [http://physics.nist.gov/cgi-bin/cuu/Value?eqgammae gyromagnetic ratio of free electron]
</biblio>

[[Category:NMR concept]]
[[Category:Fixme]]

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