Bandshapes in polymer spectra

The shape of the vibrational envelope of an absorption band in the solution spectrum of a helical polymer is related to the shape of the corresponding band in the monomer. The approximation used is expected to be valid in both the strong and weak coupling limits. In the strong coupling limit it is shown that under certain conditions the polymer band consists of an extremely narrow peak shifted from the monomer line, as has been observed in the spectra of some cyanine dyes. The identification of this peak with absorption by a propagating exciton mode is supported by a calculation of the effective distance of excitation transfer as a function of coupling strength.

[1]  J. Briggs,et al.  Sum rules for the vibronic spectra of helical polymers , 1970 .

[2]  M. R. Philpott.  Theory of Vibronic Coupling in the Polariton States of Molecular Crystals , 1970 .

[3]  William Rhodes,et al.  Generalized Susceptibility Theory I. Theories of Hypochromism , 1967 .

[4]  A. Modinos,et al.  Co-operative effects in a polymer rod , 1966 .

[5]  P. Roman.  Advanced Quantum Theory , 1966 .

[6]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[7]  P. Doty,et al.  POLARIZATION OF THE ULTRAVIOLET ABSORPTION BANDS IN α-HELICAL POLYPEPTIDES , 1961 .

[8]  P. Doty,et al.  The far ultraviolet absorption spectra of polypeptide and protein solutions and their dependence on conformation. , 1961, Proceedings of the National Academy of Sciences of the United States of America.

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

[10]  R. Merrifield.  Propagation of Electronic Excitation in Insulating Crystals , 1958 .

[11]  William T. Simpson,et al.  Coupling Strength for Resonance Force Transfer of Electronic Energy in Van der Waals Solids , 1957 .

[12]  W. Moffitt,et al.  THE OPTICAL ROTATORY DISPERSION OF SIMPLE POLYPEPTIDES. I. , 1956, Proceedings of the National Academy of Sciences of the United States of America.

[13]  E. Teller,et al.  Migration and Photochemical Action of Excitation Energy in Crystals , 1938 .

[14]  EDWIN E. JELLEY,et al.  Spectral Absorption and Fluorescence of Dyes in the Molecular State , 1936, Nature.

[15]  Elmer Hutchisson,et al.  Band Spectra Intensities for Symmetrical Diatomic Molecules , 1930 .

[16]  A. D. McLachlan,et al.  Hypochromism and optical rotation in helical polymers , 1964 .

[17]  G. Brown,et al.  Unified theory of nuclear models , 1964 .

[18]  Ef McCoy,et al.  Electronic States of Aromatic Hydrocarbons: The Franck-Condon Principle and Geometries in Excited States , 1962 .

[19]  E. McRae.  Molecular Vibrations in the Exciton Theory for Molecular Aggregates. III. Polymeric Systems , 1961 .

[20]  Milton Burton,et al.  Comparative Effects of Radiation. , 1960 .