The multifractal formalism is applied to the energy eigenvalues of Ce I, CeII,
Nd II, SmI, SmII, and Tb I. The R´enyi dimensionsDq , mass exponents τ(q) and
f (α) spectra are calculated and used to characterize the eigenvalue spectra. It is
found that these elements show multi-scaling behaviour that can be accurately
modelled by simple multifractal recursive Cantor sets. The effect of unfolding
the spectra is also investigated
