Davydov Splittings in Anthracene

The Davydov splittings are calculated for the 3800‐A state in anthracene. A point‐dipole model is used which represents each excited molecular state by a classical dipole. This allows the vibrational sublevels and depolarization forces of an excited state to be included self‐consistently in the dielectric function. The numerical splittings are in reasonable agreement with experiment.

[1]  S. Rice,et al.  On the Excess Electron and Hole Band Structures and Carrier Mobility in Naphthalene, Anthracene, and Several Polyphenyls , 1963 .

[2]  Stephen L. Adler,et al.  Quantum theory of the dielectric constant in real solids. , 1962 .

[3]  T. A. Claxton,et al.  Crystal Splitting of the Anthracene 3800 A System , 1961 .

[4]  D. Fox,et al.  Theory of the Lower Excited Electronic States of the Benzene Crystal , 1955 .

[5]  J. Hopfield a Quantum-Mechanical Theory of the Contribution of Excitons to the Complex Dielectric Constant of Crystals. , 1958 .

[6]  W. Heller,et al.  A Note on the Propagation of Excitation in an Idealized Crystal , 1951 .

[7]  R. Peierls Zur Theorie der Absorptionsspektren fester Körper , 1932 .

[8]  H. Wolf The Electronic Spectra of Aromatic Molecular Crystals , 1959 .

[9]  O. H. Leblanc Band Structure and Transport of Holes and Electrons in Anthracene , 1961 .

[10]  Jerome W. Sidman Polarized Absorption and Fluorescence Spectra of Crystalline Anthracene at 4°K: Spectral Evidence for Trapped Excitons , 1956 .

[11]  J. Ferguson,et al.  Absorption Spectrum of Crystalline Anthracene. Measurements on the Absorption Edge , 1958 .

[12]  U. Fano Normal Modes of a Lattice of Oscillators with Many Resonances and Dipolar Coupling , 1960 .

[13]  S. Rice,et al.  Triplet Energy Transfer and Triplet-Triplet Interaction in Aromatic Crystals , 1963 .

[14]  R. Knox,et al.  Theory of excitons , 1963 .

[15]  I. Nakada The Optical Properties of Anthracene Single Crystals , 1962 .

[16]  D. Fox,et al.  Anisotropic Effects in Optical Excitation of Excitons in Molecular Crystals , 1957 .

[17]  W. Kohn,et al.  ELECTROMAGNETIC PROPERTIES OF INSULATORS. I , 1960 .

[18]  H. Wolf Die niedersten elektronischen Anregungszustände des Anthracen-Kristalls , 1958 .