The origin of the weak itinerant magnetism in materials such as TiBe2 and ZrZn2 is investigated. The huge peak in the density of states at the Fermi energy is attributed to a special symmetry of the C15 structure: no crystal field splitting of the d levels occurs in the case of coordination by spherical ligands. Crystal field splitting is also investigated for the f orbitals in C15 structures such as PuZn2 and ThMg2. It is observed that the situation in f levels is more complicated than the d levels because the characteristics of the crystal field splitting for f levels does not only depend on the the local point symmetry of the compounds.
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