It is known that the energy of the lowest electronic transition in the neut
ral molecules of anthracene, tetracene, and other polyacenes is blue-shifte
d in comparison with the corresponding transition energy in univalent molec
ular ions. This effect in a molecular crystal may be responsible for the at
traction between a molecular (Frenkel) exciton and a charge carrier. Due to
this attraction, a bound state of Frenkel exciton and free charge (charged
Frenkel exciton) may be formed [5]. As we demonstrate below, the same mech
anism can be responsible for the formation of a charged biexciton (bound st
ate of two Frenkel excitons and a charge carrier). A one-dimensional lattic
e model is used which corresponds to J aggregates and is also a good approx
imation for quasi-one-dimensional crystals. Calculations are performed for
molecular crystals like tetracene, where the exciton band at low temperatur
e is much narrower than the band of the charge carrier. (C) 2001 MAIK "Nauk
a/Interperiodica".