This proposal is part of our research programme to explore novel phases stabilized by the combined effect of spin-orbit interaction and electron correlations. Here we aim to probe the magnetic order in the insulating layered honeycomb magnet alpha-RuCl3. The crystal structure is very close to ideal conditions (near cubic crystal field at Ru sites and near 90 deg Ru-Cl-Ru bonds) proposed theoretically to realize a canonical quantum frustrated system, the Kitaev model on the honeycomb lattice. Here all nearest neighbour bonds are of Ising character, but the three bonds that meet at each site have orthogonal Ising directions, leading to strong frustration effects that could stabilize novel ordered phases. This proposal builds upon our very successful study of Kitaev physics in the iridates Li2IrO3 with three-dimensional honeycomb structures (on WISH and I16@Diamond).