The intrinsic non-linearity of pi -conjugated materials shows up clearly in
the non-additivity of their physical properties. This offers unique opport
unities for studying defects that limit the conjugation length in polymers
whose linear absorption and emission is generally discussed in terms of fin
ite segments. We apply a simple Huckel approach to the electronic and vibra
tional properties of polyenic chains and consider (a) a weak central bond d
ue, for example, to chain torsion and (b) the more complex "defect" due to
a central para-conjugated phenyl. The phenyl generates local and extended s
tates that are shown to break conjugation much as a weak bond. Defects alte
r the length dependence of polyene properties and lead us to the concept of
mesoscopic chain lengths. We find comparable vibrational and electronic co
ntributions to the static second hyperpolarizability gamma. (C) 2001 Elsevi
er Science B.V. All rights reserved.