Abstract
Low-energy collective angular momentum states of the ${\mathrm{Tb}}^{3+}$ ions in ${\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7}$ are classified according to the irreducible representations of the octahedral point group. Degeneracy lifting due to the exchange interaction is discussed. Diffuse neutron-scattering intensity patterns are calculated for each collective angular momentum state, and the ground state is inferred by comparing with experiment.
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