We show that for itinerant 3d transition metal systems the magnetocrystalli
ne anisotropy energy is directly related to the anisotropic part of the spi
n-orbit interaction, rather than to the orbital part of the magnetic moment
as was previously suggested. We further show how the spin-orbit anisotropy
can be obtained by applying the sum rule for magnetic linear dichroism in
x-ray absorption. This provides an element specific tool to study metallic
multilayer systems displaying novel magnetic properties, such as perpendicu
lar magnetic anisotropy. [S0031-9007(98)08258-1].