Methods for accurate calculation of nuclear magnetic resonance relaxation times are presented. Data from inversion recovery sequences with different delay times were fitted to deriveT1information on water solutions of paramagnetic ions.T2values of the same samples were obtained by fitting signals from a multiecho sequence. According to the theory, for the field strength used (0.5 T),T1's andT2's are nearly equal and the enhancement of relaxation rates is found to be directly proportional to molar concentration. Tests performed suggest the opportunity of using the same approach in studies of tissues.