A simple scheme for estimating the single-particle energies of defect-
induced states in quasi-one-dimensional systems from the band structur
es of the defect-free systems is proposed. It is based on a transfer-m
atrix formulation of the Schrodinger equation and is shown to be most
valid for extended defects. A number of applications are presented, in
cluding solitons, polarons, twistons, and ring-torsion defects in conj
ugated polymers, solitons in hydrogen-bonded systems, structural and s
ubstitutional defects in Se helices, and interfaces between crystallin
e materials. The scheme provides thereby a unifying description of a l
arge number of different defects.