Relativistic configuration-interaction results forXe32+,Ba34+,Nd38+, andGd42+“5D”J=2toJ=3energy differences

Errors in relativistic correlated ab initio results for the “${}^{5}D$” $J=2\mathrm{}$ to $J=3\mathrm{}$ $M1\mathrm{}$ transition, which is nearly constant with $Z$, have been reduced from 5% to 1.5% (400 ${\mathrm{cm}}^{-1})$, on average. Beyond the Dirac-Coulomb level, the principal contributions are from the magnetic operator and certain $n=3\mathrm{}$ single and double excitations (correlation effects).