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I am honored to receive the Nobel Prize, which I feel is also an honor to the physicists and engineers in many countries who have done beautiful experi-ments using the methods I shall be discussing. In particular, I am grateful to my eighty-four wonderful Ph.D. students and, to Daniel Kleppner and Daniel Larson, who were my close collaborators for a number of years. THE METHOD OF SUCCESSIVE OSCILLATORY FIELDS In the summer of 1937 following two years at Cambridge University, I went to Columbia University to work with I. I. Rabi. After I had been there only a few months, Rabi invented1-4 the molecular beam magnetic resonance me-thod so I had the great good fortune to be the only graduate student to work with Rabi and his colleagues1-2 on one of the first two experiments to develop and utilize magnetic resonance spectroscopy, for which Rabi re-ceived the 1944 Nobel Prize in Physics. By 1949, I had moved to Harvard University and was looking for a way to make more accurate measurements than were possible with the Rabi meth