Integral and Rational Numbers in the Nuclear Domain and Their Significance.

so that 861 is of the form 1/2n (n 1) with n = 42. Both these numbers 861 and 42 turn up in very interesting ways in connection with nuclei and elementary particles, as will be shown in the sequel. Also 42 = 6 X 7 and the number 7 also appears frequently in connection with some of these quantities. The quantities concerned are the masses and binding energies of nuclei, both in the ground state and in excited states, the magnetic moments of nuclei and the ratios of the masses of the proton and neutron to that of the electron. The mass of the H' atom on the physical scale is 1.00813 = 0.000017 according to Birge.' Subtracting the mass of the electron on the physical scale, the mass of the proton is