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Larmor precession is important in nuclear magnetic resonance, magnetic resonance imaging, electron paramagnetic resonance, muon spin resonance, and neutron spin echo. It is also important for the alignment of cosmic dust grains, which is a cause of the polarization of starlight .
i (Ω - ω 0) M xy ′(t) is the Larmor term in the frame of reference rotating with angular frequency Ω. Note that it becomes zero when Ω = ω 0 . The - i γ Δ B z ( t ) M xy ′( t ) term describes the effect of magnetic field inhomogeneity (as expressed by Δ B z ( t )) on the transverse nuclear magnetization; it is used to explain T 2 * .
The spin–orbit potential consists of two parts. The Larmor part is connected to the interaction of the spin magnetic moment of the electron with the magnetic field of the nucleus in the co-moving frame of the electron. The second contribution is related to Thomas precession.
It is convenient to consider magnetic resonance in a frame that rotates at the Larmor frequency of the spins. This is illustrated in the animation below. The rotating wave approximation may also be used. Animation showing the rotating frame. The red arrow is a spin in the Bloch sphere which precesses in the laboratory frame due to a static ...
Spin echo animation showing the response of electron spins (red arrows) in the blue Bloch sphere to the green pulse sequence. Pulsed electron paramagnetic resonance (EPR) is an electron paramagnetic resonance technique that involves the alignment of the net magnetization vector of the electron spins in a constant magnetic field. This alignment ...
For instance, examining the above animation at an offset frequency of ±1.73, one can see that during the 1/2 Rabi cycle (at resonance) shown during the animation, the oscillation instead undergoes one full cycle, thus at twice the (normal) Rabi frequency ,, just as predicted by this equation. Also note that as the incident light frequency ...
If a horizontal rotating field , angular frequency of rotation is applied in the region between poles of magnet 2, produced by oscillating current in circular coils then there is a probability for the atoms passing through there from one spin state to another (= + / > / and vice versa), when = , Larmor frequency of precession of magnetic moment ...
Neutron spin echo is a time-of-flight technique. Concerning the neutron spins it has a strong analogy to the so-called Hahn echo, [13] well known in the field of NMR.In both cases the loss of polarization (magnetization) due to dephasing of the spins in time is restored by an effective time reversal operation, that leads to a restitution of polarization (rephasing).