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In an effort to explore the differences between rare-earth-based anduranium-based heavy Fermion (HF) compounds that reflect the underlyingdifference between local 4$f$ moments and itinerant 5$f$ moments we analyzescaling laws that relate the low temperature neutron spectra of the primary("Kondo-esque") spin fluctuation to the specific heat and susceptibility. Whilethe scaling appears to work very well for the rare earth intermediate valencecompounds, for a number of key uranium compounds the scaling laws fail badly.There are two main reasons for this failure. First, the presence ofantiferromagnetic (AF) fluctuations, which contribute significantly to thespecific heat, alters the scaling ratios. Second, the scaling laws requireknowledge of the high temperature moment degeneracy, which is oftenundetermined for itinerant 5$f$ electrons. By making plausible corrections forboth effects, better scaling ratios are obtained for some uranium compounds. Wepoint out that while both the uranium HF compounds and the rare earthintermediate valence (IV) compounds have spin fluctuation characteristicenergies of order 5 - 25 meV, they differ in that the AF fluctuations that areusually seen in the U compounds are never seen in the rare earth IV compounds.This suggests that the 5f itineracy increases the f-f exchange relative to therare earth case.

Heavy Fermion scaling: Uranium versus Cerium and Ytterbium compounds