Spin-Spin Interaction in Paramagnetic Ions

Abstract

Expressions for the intra-atomic spin-spin interaction parameter $\rho$ for the Hund's-rule ground state are given in terms of the radial integrals $M^k$. These integrals occur also in the spin-other-orbit and orbit-orbit interactions. Using previously obtained values of the $M^k$, the expressions for $\rho$ are evaluated for a number of $p$-, $d$-, and $f$-shell ions. Comparison with results of Pryce for $3d$ ions shows that his estimates were too large by as much as an order of magnitude.