Spin echo

But the inhomogeneous dephasing can be removed by applying a 180° inversion pulse that inverts the magnetisation vectors.

[2] Examples of inhomogeneous effects include a magnetic field gradient and a distribution of chemical shifts.

If the inversion pulse is applied after a period t of dephasing, the inhomogeneous evolution will rephase to form an echo at time 2t.

In simple cases, the intensity of the echo relative to the initial signal is given by e–2t/T2 where T2 is the time constant for spin–spin relaxation.

In 1972 F. Mezei introduced spin-echo neutron scattering, a technique that can be used to study magnons and phonons in single crystals.

Hahn's 1950 paper[5] showed that another method for generating spin echoes is to apply three successive 90° pulses.

After the first 90° pulse, the magnetization vector spreads out as described above, forming what can be thought of as a "pancake" in the x-y plane.

Fast spin echo (RARE, FAISE or FSE[10][11][12]), also called turbo spin echo (TSE) is an MRI sequence that results in fast scan times.

As multiple phase-encoding lines are acquired during each TR interval, FSE/TSE techniques may significantly reduce imaging time.

Animation of spin echo, showing the response of spins (red arrows) in the blue Bloch sphere to the green pulse sequence
The spin-echo sequence
The spin-echo sequence
A spin echo with more spins and more dephasing
A spin echo with more spins and more dephasing