Large spin-orbit interaction produces large orbital magnetic moments in nar
row energy bands. Since the orbital character of the wave functions is more
important in orbital than in spin magnetism, the limitations of the local
spin density approximation become evident. It is possible to keep the orbit
al dependence of the exchange interactions by using an orbital polarization
scheme or by using Hartree-Fock theory with screened Slater integrals for
exchange. This leads to an enhancement of the calculated orbital moment whe
n the magnetism is strong. Recently calculated magnetic moments and calcula
ted sum rules for X-ray magnetic circular dichroism in US are described.