  Hexagonal alpha-Ru trichloride single crystals exhibit a strong magnetic
anisotropy and we show that upon applying fields up to 14 T in the honeycomb
plane the successive magnetic order at T1 = 14 K and T2 = 8 K could be
completely suppressed whereas in the perpendicular direction the magnetic order
is robust. Furthermore the field dependence of chi(T) implies coexisting ferro-
and antiferromagnetic exchange between in-plane components of Ru^3+-spins,
whereas for out-of-plane components a strong antiferromagnetic exchange becomes
evident. 101^Ru zero-field nuclear magnetic resonance in the ordered state
evidence a complex (probably non coplanar chiral) long-range magnetic
structure. The large orbital moment on Ru^3+ is found in density-functional
calculations.
