Spin-orbit coupling constant and r −3 > in transuranic ions

Abstract

The spin-orbit coupling parameter ζ, the quantum average <r ⁻³>, and binding energy − E for atomic number Z = 92, 94, 96 and net ionic charge approximately 1 and 5, have been calculated for the 5f electrons. The potential assumed in the one-electron wave function calculation is that given by the Thomas-Fermi model of a positive ion. It is shown that the ratio ζ/<r ⁻³> is fairly insensitive to changes in the surroundings of the ion, and can be used for estimating one of the parameters with the experimental value of the other. The 5g electrons are shown to be effectively free in the considered range of Z and n. The behaviour of the wave function as a function of n and Z is discussed.