Nuclei at the neutron-drip line are studied. In particular, we analyse the
binding energies with the effects of Coulomb repulsion, nuclear attraction
due to proximity and rotational energy due to angular momentum. This includ
es the study of the 'neutron-halo structure' of some 18 light neutron-rich
nuclei. In terms of the neutron-cluster + core picture, the halo structures
of these nuclei are identified which agree with the hypothesis of one/two
neutron separation energies and are supported by available experimental inf
ormation. All the studied nuclei possess 1n- or 2n-halo structure. It is fu
rther shown that these nuclei prefer stable cores with not only the neutron
number N = 2Z but also with 2Z +/- 2.