Exact finite chain calculations within a diagrammatic exciton basis gi
ve pictorial descriptions of all excited states of pi-conjugated polym
ers. In linear chain polymers the 1B(u) is an exciton, and the fundame
ntal two-photon states can be broadly classified into triplet-triplet,
charge-transfer and singlet-singlet excitations. The mA(g), a two-pho
ton state that plays a strong role in nonlinear optics, is a correlate
d charge-transfer state. The singlet-singlet states occur higher in en
ergy and split into bound biexcitons and a continuum of free two-excit
on states. (C) 1997 Elsevier Science B.V.