A finite-difference approach has been developed for precisely determining d
iffusion coefficient and T-1 relaxation time in fluid samples analyzed by m
agnetization-grating rotating-frame imaging (MAGROFI) with either a surface
coil or a toroid cavity detector (TCD). This approach avoids shortcomings
of phenomenologically based approximations, such as neglect of sample geome
tries with singularities at the confines of the sample volume, and accounts
for the diffusive edge enhancement observed in fluid imaging. Error limits
are discussed. The new method has been applied to the determination of the
self-diffusion coefficient for MAGROFI experiments using TCDs filled with
acetone. (C) 2000 Academic Press.