Abstract
The form of the exciton–photon dispersion curve in an infinite crystal of anthracene is predicted by calculating the positions of the k = 0 polariton and Coulombic exciton levels for each vibronic level of the 3800‐Å free molecule transition. Intermolecular interactions are restricted to dipole–dipole interactions and the 2500‐Å system treated as if it were a single level. An exact classical solution of the problem posed here is employed in the calculations thereby circumventing perturbation theory. A slightly improved calculation of the dipole Davydov splitting is also reported.