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Concentrates on oil-drop experiment. Family background and early education; undergraduate at Brigham Young University (physics); graduate at University of Chicago, Robert Millikan and Albert A. Michelson as physicists and teachers. Extensive coverage of the work and relationship with Millikan on the "oil-drop" technique with two versions of the nature of the collaboration presented by Vern Knudsen, one from Millikan's autobiography and Fletcher's own account. Work on modification of Stokes' law and Brownian motion. Impact of electric charge measurement.