Statistical Potential for Actinide Metal Energy Band Calculations
Abstract
A simple analytic potential energy function, V, is developed from a ThomasFermi ion model for the actinide metals and is found to provide good agreement with wave functions derived from the Hartree selfconsistent field approach by Ridley for the 5f, 6d, and 7s states of uranium. The estimated 5f, 6d, and 7s bandwidths are 1.1, 7.3, and 11.8 ev, respectively, in satisfactory agreement with those of Ridley. Dirac's equations are solved for the 5f, 6d, and 7s states using this nonrelativistic potential energy function with the WignerSeitz boundary condition. The relativistic energy shift for the 7s state is roughly 13 ev.
 Publication:

Physical Review
 Pub Date:
 March 1960
 DOI:
 10.1103/PhysRev.117.1493
 Bibcode:
 1960PhRv..117.1493L