  We have investigated the temperature dependence of the H || c flux line
lattice structural phase transition from square to hexagonal symmetry, in the
tetragonal superconductor LuNi_2B_2C (T_c = 16.6 K). At temperatures below 10 K
the transition onset field, H_2(T), is only weakly temperature dependent. Above
10 K, H_2(T) rises sharply, bending away from the upper critical field. This
contradicts theoretical predictions of H_2(T) merging with the upper critical
field, and suggests that just below the H_c2(T)-curve the flux line lattice
might be hexagonal.
