We present the first complete systematic characterization of the excit
ed states in conjugated polymers. Our results are relevant for the und
erstanding of the photophysics of these materials. We perform full con
figuration interaction calculations in an exciton basis within which a
long chain polymer is considered as coupled molecular units. Complete
pictorial descriptions of all excited states are obtained. In linear
chain polymers such as the polyacetylenes and polydiacetylenes the 1B(
u) is an exciton, and the fundamental two-photon states can be broadly
classified into triplet-triplet (TT), charge-transfer (CT) and single
t-singlet (SS) excitations. In the above CT refers to charge-transfer
from one unit to another, and TT and SS are two electron-two hole exci
tations. In TT the spin angular momenta of two different triplet excit
ations combine to give an overall singlet, while the individual excita
tions are singlets in SS. The 2A(g) is classified as TT. The mA(g), an
even parity state that plays a strong role in nonlinear optics, is a
correlated CT state. The SS states occur higher in energy and for mode
rate exciton binding split into the biexciton and two-exciton continuu
m. The calculations can be easily extended to the polyphenylenes, for
which the characterization of excited states continues to be possible.
These theoretical results are useful in explaining a variety of third
order nonlinear optical spectroscopic measurements as well as picosec
ond photoinduced absorption.