A theory of Frenkel exciton states in microcrystallites based on a mod
el of the nearest neighbor interaction is developed. The theory is app
lied to calculate the k = 0 component in the density of states in arom
atic microcrystallites, whose characteristic feature is an intense sha
rp band followed by a high-energy exponential tail. The theory also ex
plains satisfactorily the spectral width of the excitation spectra, wh
ich reflects the exciton bandwidth of bulk crystals.