A model for crystal field triplet ground states of rare earth or actinide i
ons with dipolar and quadrupolar couplings to conduction electrons is studi
ed for the first time with renormalization group methods. The quadrupolar c
oupling leads to a new nontrivial, non-Fermi-liquid fixed point, which surv
ives in an intermediate valence Anderson model. The calculated magnetic sus
ceptibility displays one parameter scaling, going as T-alpha (alpha approxi
mate to 0.4) at intermediate temperatures, reminiscent of the non-Fermi-liq
uid alloy UCu5-xPdx.