One-neutron knockout reactions from neutron-rich nuclei, with Z = 6−13 and N = 8−22, were studied at the Fragment Separator (GSI) at high beam energies, around 700 MeV/nucleon. Structural phenomena such as the formation of one-neutron halos in odd-mass carbon isotopes ( 15,17,19 C) will be discussed. In addition, one-neutron knockout measurements from 22 N were carried out for the first time and demonstrate clearly the change from a 0d 5/2 to a 1s 1/2 orbital for the valence neutron, an effect that is expected above N = 14 and that was also observed in 23 O and 24 F. The possibility of an anomalous structure of 26 F, due to a significant 1s 1/2 neutron admixture, will also be discussed in the light of the experimental data obtained in this work. Finally, the ground-state configuration of neutron-rich neon isotopes ( 24−28 Ne) was studied, providing new information in a region that is relatively close to the island of inversion.