We consider nanostructures consisting of both organic and inorganic ma
terials, in particular, heterojunctions or coupled microcavities. Reso
nance interactions between Frenkel excitons and Wannier-Mott excitons
(through the Coulomb dipole-dipole interaction at an interface or thro
ugh the cavity photons in coupled microcavities) may bring about hybri
d Frenkel-Wannier-Mott excitations. In such a situation, the propertie
s of both molecular and covalent crystals conspire to overcome the bas
ic limitations of the individual constituents. We show that the new hy
brid states and their dispersion curves can be tailored to engineer th
e enhancement of resonant optical nonlinearities, fluorescence efficie
ncy and relaxation processes.