The structure of the neutron-rich isotopes He-7, Li-10 and Be-11 has been s
tudied in detail using multi-nucleon transfer reactions. New results have b
een obtained for He-7, where we have evidence for the observation of the fi
rst excited state, i.e. the 1/2(-)-resonance, which is of interest for the
spin-orbit splitting in these light neutron-rich nuclei. Reactions of disti
nct selectivity have been chosen to study the states of Li-10, which are al
l unbound. The structure of the eight states found in these reactions is di
scussed, and the relevance for the decay of Li-11 resonances is shown. The
isotopes Be-10 and Be-11 have been investigated to study the alpha-cluster
structure and high-lying states. Nine states of the observed Be-11-resonanc
es form a molecular rotational band. The multi-nucleon transfer mechanism h
as also been applied to study the unbound proton-rich isotope N-11, the mir
ror nucleus of Be-11. In this case the C-12(N-14,C-15)N-11-reaction has bee
n used. Five resonances have been observed, and the lowest two can be ident
ified as 1/2(-)- and 5/2(+)-states.