Figure 1:
Néel State:
Shown is a  periodic Néel state. This is a two-dimensional non-collinear 120° structure of co-planar spins forming  angles between nearest neighbors. A unit cell shown in red contains 3 atoms. The total magnetization M in the unit cell is zero. In this picture, the spins are oriented in the surface plane. The orientation of the spin with respect to the lattice is determined by the spin-orbit interaction.