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We used a local susceptibility approach in extensive polarized neutrondiffraction studies of the spin liquid \tbti. For a magnetic field appliedalong the [110] and [111] directions, we found that, at high temperature, allTb moments are collinear and parallel to the field. With decreasingtemperature, the Tb moments reorient from the field direction to their localanisotropy axes. For the [110] field direction, the field induced magneticstructure at 10 K is spin ice-like, but with two types of Tb moments of verydifferent magnitudes. For a field along [111], the magnetic structure resemblesthe so-called "one in-three out" found in spin ices, with the difference thatall Tb moments have an additional component along the [111] direction due tothe magnetic field. The temperature evolution of the local susceptibilitiesclearly demonstrates a progressive change from Heisenberg to Ising behavior ofthe Tb moments when lowering the temperature, which appears to be a crystalfield effect.

Spin Density and Non-Collinear Magnetization in Frustrated Pyrochlore \tbti from Polarized Neutron Scattering