Re-evaluation of a precise measurement ofh/mn

Abstract

At the high-flux reactor of the Institut Laue-Langevin in Grenoble the fine-structure constant alpha was determined by measuring the quotient of the Planck constant and the neutron mass h / m n . The results have already been published. In order to evaluate the measurement data, the lattice parameters of several silicon crystals must be known very accurately. As these parameters can now be determined in a more direct way than in the past, the results of the experiment have been re-evaluated. The values obtained by the re-evaluation are h / m n = 3.956 033 285 (287) × 10 -7 m 2 s -1 (relative standard uncertainty 7.26 × 10 -8 ) and α -1 = 137.036 011 44 (498) (relative standard uncertainty 3.64 × 10 -8 ), the uncertainties being one-standard-deviation estimates. These values differ from those obtained in the first evaluation by only about 15 % of their uncertainties.

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