Spin echo damping in the case of low-dimensional quantum diffusion
В. А. МихеевPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovV. A. SlyusarevPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov
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Damping of a pulse NMR spin echo signal is computed for impurity diffusion along dislocations (one-dimensional diffusion) in quantum crystals, or over intercrystalline boundaries (two-dimensional diffusion). It is shown that for an arbitrary arrangement of dislocations and boundaries in the crystal, the echo signal damping as a function of the magnetic field gradient and the time between high-frequency pulses is not an exponential function that is characteristic for three-dimensional diffusion. Expressions are obtained for echo-signal amplitude damping for one-dimensional restricted diffusion.
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