As best as I could figure out looking at a few web sources, the Larmor frequency is a function of the atom, not the m of a particular electron therein, and so electrons with any given m all precess at the same frequency?
22.
When \ omega _ { rotating frame } �is equal to the Larmor frequency for a particular spin, defined as \ left \ vert \ gamma B _ { 0 } \ right \ vert, B effective has only an x-component for that spin.
23.
In the context of a nuclear magnetic resonance experiment, the Rabi frequency is the nutation frequency of a sample's net nuclear magnetization vector about a radiofrequency field . ( Note that this is distinct from the Larmor frequency, which characterizes the precession of a transverse nuclear magnetization about a static magnetic field .)
24.
Note that when the rotating frame of reference rotates " exactly " at the Larmor frequency ( this is the physical meaning of the above assumption ? = ? 0 ), the vector of transverse nuclear magnetization, " M " xy ( " t " ) appears to be stationary.
25.
Since the Larmor frequency is \ omega = \ gamma _ \ mu B, with a gyromagnetic ratio \ gamma _ \ mu = 851.616 Mrad ( sT ) " 1, the frequency spectrum obtained by means of this experimental arrangement ( usually referred to as Transverse Field, TF ?SR ) provides a direct measure of the internal magnetic field intensity distribution.
26.
Taking for example the H 2 O molecules in liquid phase without the contamination of oxygen-17, the value of " K " is 1.02?0 10 s " 2 and the correlation time \ tau _ c is on the order of picoseconds = 10 ^ {-12 } hydrogen nuclei 1 H ( protons ) at 1.5 teslas carry an Larmor frequency of approximately 64 MHz.
