We discuss the nonlinear susceptibility (χ3) as a probe of higher-order spin correlations in heavy fermion materials, with particular emphasis on U Ru2Si2 and U Be13. The sharp discontinuity of χ in U Ru2Si2 is contrasted with two other antiferromagnets U2Zn17 and U0.95Th0.05Pt3 with larger moments. Nonlinear magnetic properties of URu2Si2 can be understood simply in terms of Landau-Ginzberg theory for a large hidden, itinerant order parameter. In UBe13 we discuss how χ3 can be used to probe the presence of quadrupolar fluctuations. © 1994.