A method is presented by which all components of Fij(ϕ, ψ, hkl) belonging to the same measurement direction and reflection can be determined. The neutron measurements are to be done with a single specimen, shaped as a cuboctahedron. An apparatus for producing a compressive stress state in the specimen is needed. It must be small enough to fit into the neutron goniometer and to allow movement of the goniometer to all Eulerian angles. Using this set-up the tensors F(ϕ, ψ, hkl) can be measured for any ϕ, ψ and (hkl).