Nuclear spin relaxation induced by lateral diffusion on a fixed or freely rotating spheroidal surface

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Abstract
A theoretical method is presented for calculating the spectral density functions, which determine the N.M.R. relaxation behaviour, associated with lateral diffusion on the surface of a fixed or freely tumbling prolate or oblate spheroidal aggregate or macromolecule. Analytical results are given for the limits of fast or slow surface diffusion, while an efficient finite-difference algorithm is developed for the general case. The orientational order parameters that determine the N.M.R. line splittings from anisotropic systems composed of fixed spheroids are also obtained.