The materials of pyrochlore structure (Fd-3m) show varied physical properties ranging from electronic insulators ( La2Zr2O7 ) and ionic conductors (Gd1.9Ca0.1Ti2O6.9 ) to metallic conductors (Bi2Ru2O7-y ). Rare earth (RE) pyrochlores show mixed ionic and electronic conductivity and they display fascinating properties like spin ice system Dy2Ti2O7, spin glass system Y2Mo2O7 and superconducting material Cd2Re2O7. These systems are particularly susceptible to geometrical frustration and novel magnetic effects. Large, high quality single crystals of RE2Ti2O7 and RE2Mo2O7 have been grown recently by the Optical Floating Zone (OFZ) technique under controlled atmosphere. Single crystals up to 5-7 mm in diameter and up to 6 Ц8 cm long were used in neutron, magnetic and X-ray experiments. We report growth, characterization and the time-of-flight neutron scattering experiments probing the magnetic field-induced behaviour of Ho, Dy, Tb, Y and Yb titanates with the field applied along a crystallographic  direction. These results show a decomposition of the pyrochlore lattice into two orthogonal sets of weakly interacting magnetic chains in the presence of a  magnetic field.