Periodicity is the property of crystalline solids that makes possible the propagation of electronic excitation in solids as coherent wavepackets in the limit of weak exciton-lattice interactions. In this review, we briefly discuss the theoretical founda tion of coherent energy migration in the various limits of the exciton-lattice inter action. In addition, we revicw and evaluate experimental evidence for coherence from a variety of sources. This latter area is the focus of this review because the experimental detection and characterization of coherent energy transfer has been a field of such great interest and moderate controversy in recent years. In the last dozen years several general reviews on the properties of molecular solids have been published. These include those written by Hochstrasser (1), Robinson (2), Kopelman (3), and El-Sayed (4). Soos (5) has reviewed excitation in organic charge-transfer crystals. More recently, Silbey (6) has written an excellent review on electronic energy transfer processes in molecular crystals. Although his review has much in common with ours, he focused on formal developments in the theory of exciton-phonon interactions while we are concerned primarily with the theory and its relation to experimental observations of coherence and exciton phonon coupling. While experimental evidence is of recent vintage, the prediction of coherence in molecular solids dates back to the work of Frenkel in 1931. In his original paper on excitons (7), Frenkel develops three important insights. First, he pointed out that the electronic excitation can be delocalized and, as a result, be described by a series of Bloch wave functions in analogy to the lattice modes of the crystal. Second, as a consequence of delocalization, the superposition of several of the modes will form a localized wavepacket that propagates through the lattice with a group velocity
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