Chemical Shift - Operating Frequency

Operating Frequency

The operating (or Larmor) frequency of a magnet is calculated from the Larmor equation

where is the actual strength of the magnet in units like teslas or gauss, and is the gyromagnetic ratio of the nucleus being tested which is in turn calculated from its magnetic moment and spin number with the nuclear magneton and the Planck constant h:

Thus, the proton operating frequency for a 1 T magnet is calculated as:

$\omega _0 = \gamma B_0 = \frac{{2.79 \times 5.05 \times 10^{ - 27}\,{\rm{J/T}} }}{{6.62 \times 10^{ - 34}\,{\rm{Js}} \times \left( {1/2} \right)}} \times 1\,{\rm{T}} = 42.5\,{\rm{MHz}} \,$

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