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Stern–Gerlach deflection measurements have been performed on rare earth clusters TbN, HoN, and TmN (N≤40) at cryogenic temperatures (T≤77 K). TbN and HoN share a common size dependence in their magnetic moments. They both exhibit common “magic number” sizes which show reduced net magnetic moments, similar to previous observations for Gd and Dy clusters. TmN have smaller magnetic moments that do not differ significantly between cluster sizes. The reduced net magnetic moments are evidence that the atomic moments are canceled by a canted or antiferromagnetic alignment. Electric deflection experiments reveal that TmN have electric dipole moments and show an enhanced response to an electric field compared to TbN and HoN.

Size dependent magnetic moments and electric polarizabilities of free Tb, Ho, and Tm clusters