Magnetic Behavior of the larger network of triangles in Dy$_{8}$ molecule*

Qubits with chiral symmetry promise to allow denser packing because the magnetic field produced by toroidal moments decays much faster than that of normal magnetic dipoles. Prompted by the chiral symmetry found for Dy$_{3}$ [1], we have embarked on a study of the toroidal magnetism in a larger network of triangles in a Dy$_{8}$ molecule with the formula (Et$_{4}$N)$_{4}$[Dy$_{8}$O(nd)$_{8}$(NO$_{3}$)$_{10}$(H$_{2}$O)$_{2}$]2MeCN [2]. The effect of exchange coupling within a triangular network of eight oxo-bridged Dy(III) ions is investigated. Single crystal magnetization follows the 4-fold structural symmetry of the Dy$_{8}$ molecule. The angular dependence of single crystal magnetization data is consistent with an Ising type exchange Hamiltonian, the single ion easy axes are determined by an electrostatic crystal field model. [1] J. Luzon, et al., Phys. Rev. Lett. 100, 247201 (2008). [2] D. I. Alexandropoulos, et al., Inorg. Chem. 53, 5420 (2014).