Calculation ofgandg′for iron and nickel

The spectroscopic splitting factor $g$ and magnetomechanical ratio $g^{\prime }$ are studied in reference to ferromagnetic metals within the framework of the tight-binding approximation. General formulas are obtained which include overlap effects in the calculation of the average of the orbital angular momentum as well as terms resulting from the nonperiodic nature of $L_z$ plus spin-orbit and other relativistic correction terms. Wave functions obtained from recent band calculations are used to obtain numerical results for iron $g=2.05\mathrm{}$, $g^{\prime }=1.95\mathrm{}$ and nickel ($g=2.14\mathrm{}$, $g^{\prime }=1.87\mathrm{}$).