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Magnetization, resistivity and specific heat measurements were performed onsingle crystals of RFe$_2$Zn$_{20}$ and RCo$_2$Zn$_{20}$(R = Y, Nd, Sm, Gd -Lu). Whereas LuCo$_2$Zn$_{20}$ and YCo$_2$Zn$_{20}$ manifest unremarkable,metallic behavior, LuFe$_2$Zn$_{20}$ and YFe$_2$Zn$_{20}$ manifest behaviorscharacteristic of nearly ferromagnetic Fermi liquids. When the well defined$4f$ local moments (Gd$^{3+}$ - Tm$^{3+}$) were embedded into this stronglypolarizable host, they all manifest enhanced, ferromagnetic ordering and thevalues of $T_{\mathrm{C}}$ for RFe$_2$Zn$_{20}$ (R = Gd - Tm) scale with the deGennes factor. In addition, the data on the RFe$_2$Zn$_{20}$ compounds indicatea small crystal electronic field (CEF) effect, compare with the interactionenergy scale. On the other hand, the local moment bearing members ofRCo$_2$Zn$_{20}$ (R = Nd, Sm, Gd - Tm) manifest weak magnetic interactions andthe magnetic properties for R = Dy - Tm members are strongly influenced by theCEF effect on the R ions. The magnetic anisotropy and specific heat data forthe Co series were used to determine the CEF coefficient of R ion in the cubiccoordination. These CEF coefficients, determined for the Co series, areconsistent with the magnetic anisotropy and specific heat data for the Feseries, which indicates similar CEF effects for the Fe and Co series. Suchanalysis, combined with specific heat and resistivity data, indicates that forR = Tb - Ho, the CEF splitting scale is smaller than their $T_{\mathrm{C}}$values, whereas for ErFe$_2$Zn$_{20}$ and TmFe$_2$Zn$_{20}$ the $4f$ electronloses part of its full Hund's rule ground state degeneracy above$T_{\mathrm{C}}$. YbFe$_2$Zn$_{20}$ and YbCo$_2$Zn$_{20}$ manifest typical, butdistinct heavy Fermion behaviors associated with different Kondo temperatures.

Magnetic properties of RFe$_2$Zn$_{20}$ and RCo$_2$Zn$_{20}$(R = Y, Nd, Sm, Gd - Lu)