The Most Probable Value of the Planck Constanth

Abstract

The most probable value of Planck's Constant $h$ has been computed, together with the probable error. The latest value of each of the other constants appearing in the equations has been used; and the probable error in each has been taken into consideration. The mean value from seven distinct methods is (6.5543 ± 0.0025) × ${10}^{-27\mathrm{}}$ erg. sec., and each of the seven residuals lies within the limits of error. The indicated error in the final mean is practically exclusive of any error in $e$ (assumed 4.774). However, by assuming Lewis and Adams' theory of ultimate rational units, it is possible to compute, in a number of different ways, an independent value of $e$, or of $h$. One such computation, using Blake and Duane's X-ray data, yields $e=4.7705\mathrm{}\pm 0.0046$, $h=6.550\mathrm{}\pm 0.0\mathrm{I}3$.