Magnetization and magnetic susceptibility of single crystals of HoTiO3 and ErTiO3

Bulk magnetization measurements have been performed on single crystals of HoTiO₃ and ErTiO₃. The easy direction of magnetization is along the b-axis for HoTiO₃ and along the c-axis for ErTiO₃ with respect to the Pbnm chemical cell. These findings are in qualitative agreement with the results of two independent powder neutron diffraction studies. The saturation magnetic moments at 4.2 K along the easy axes are 7.3(2)μ_B per formula unit for HoTiO₃ and 6.9(2)μ_B for ErTiO₃. In addition, single crystal susceptibility data were analyzed using the theory of Boutron to yield values for the Heisenberg exchange coupling and the second-order crystal field terms B⁰₂ and B²₂.