APPLICATION OF THE EXCITON MODEL TO MONO‐MOLECULAR LAMELLAR SYSTEMS*

Abstract
Summary The molecular exciton model is applied to specific mono‐molecular lamellar structures. For a variety of in‐plane and out‐of‐plane arrangements of transition dipoles exciton‐band energy level diagrams and specific formulas are given. These results permit a quantitative comparison of the absorption spectrum of a monomolecular lamellar aggregate with that of the single molecule. The experimental parameters are the dipole length of the absorption band studied in the single molecule, the intermolecular distance of molecular centers in the lamella, and geometrical parameters. The dipole‐dipole interaction sums are given in several cases with an accuracy of two percent. The Appendix summarizes the functional expressions in terms of lattice parameters in each case.It is suggested that these results can be used as a starting point in the elucidation of molecular ultrastructure in lamellar systems, and the interpretations of the mechanisms of excitation energy transfer.