In order to obtain information about the symmetry of the ground state,
we have studied the anisotropy of H(c2)(T) in UBe13. Using sensitive
mutual induction techniques, we have systematically measured chi' (H,T
) and chi''(H,T) of several single crystals in fields up to 8 T orient
ed along the [100] and [110] directions, with particular emphasis on t
he T/T(c) --> 1 limit. The resulting H(c2) phase diagram is presented
and compared to the results of other workers.