Perylenetetracarboxylic dianhydride (PTCDA) is ideal for applying molecular
exciton theory to the evolution of molecular to solid-state excitations. T
he spectra of crystalline films and superlattices differ from solution due
to the formation of uniform stacks. PTCDA shows mixing of nearly degenerate
Frenkel and charge-transfer (CT) excited states and strong coupling to an
out-of-phase C-C, C=C intramolecular stretch that corresponds to the effect
ive conjugation coordinate of polymers. Its structural, electronic and vibr
ational simplicity can be modeled by a diatomic stack rather than a three-d
imensional molecular lattice. Uniform slacks are realizations of Holstein m
odels and provide the first example of vibronic coupling to mixed Frenkel-C
T excitons. CT participation is analogous to polaron pairs on adjacent poly
mer chains, while Frenkel excitons are related to polyene and intrachain ex
citations. Calculated molecular parameters are consistent with spectroscopi
c values. Absorption processes show little dispersion and increased vibroni
c width; fluorescence is phonon-assisted and shifts to lower energy with in
creasing stack length; substituted perylenes form stacks with different ove
rlaps and spectra. Localized and extended PTCDA states illustrate both inte
rchain interactions in polymer films where single-crystal resolution is lac
king and organic molecular crystals with more extensive and complicated sol
id-state contributions.