Total energy of atomic ions related to lowhyphen;order ionization potentials and to diamagnetic susceptibility

摘要

We explore the representation of the energyE(Z,N) in terms of the ionization potential I and the diamagnetic susceptibility, proportional to lang;r2rang;. For onehyphen;electron ions, one finds immediately lnthinsp;I= minus;lnthinsp;lang;r2rang;+ln(3/2) and forNelectron we demonstrate that lnthinsp;I= agr;(N)thinsp;lnthinsp;lang;r2rang;+bgr;(N) is an excellent approximation. The energy is finally represented in terms of the first three ionization potentials and lang;r2rang; asE(Z,N) =IN+INhyphen;1+INhyphen;2+Sgr;Nhyphen;3n= 1lang;r2rang;agr;(n)Z,nexplsqb;bgr;(n)rsqb;.