Motional narrowing of Zeeman resonance lineshapes. I. Theoretical development

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Abstract
A theory of motional narrowing is presented which is the basis for further study of the narrowing problem by computer simulations. For a general inhomogeneous z component of magnetic field h(r) with Delta 2 identical to ( gamma 2h2), predictions are made for the half-width Gamma approximately= Delta 2 tau c and the frequency shift delta approximately -( gamma 3h3) tau c2 where tau c is the correlation time. The lineshape is traced from the region of good averaging, Delta tau c<1.

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