Ab initio modeling of excited state absorption of polyenes

Vertical excitation energies and transition dipole moments between excited electronic states have been calculated for the trans-polyenes series C4H6–C12H14 in order to study the formation of excited state absorption spectra of these species. Quadratic response theory is applied in conjunction with the self-consistent field method and a hierarchical set of coupled-cluster methods. The convergence of the excited state absorption, with respect to wavefunction and treatment of electron correlation and also the length of the oligomer unit, is studied, revealing a considerable demand on the computational effort in order to predict the excited state spectra with precision. The organization of the excited states is found to change in character along the polyene series. The inflexion point for the vertical excitation energies between the one-photon allowed 11Bu and the two-photon 21Ag state is predicted to occur between hexatriene and octatetraene. Good agreement with experiment is obtained for butadiene and hexatriene for which the most accurate calculations have been carried out.

[1]  B. Kohler,et al.  Octatetraene m 1Ag states: Two‐photon fluorescence excitation spectrum from 28 000 to 50 000 cm−1 , 1996 .

[2]  Patrick Norman,et al.  Single determinant calculations of excited state polarizabilities , 1997 .

[3]  H. Ågren,et al.  RESPONSE TO COMMENT ON : THE HYPERPOLARIZABILITY OF TRANS-BUTADIENE : A CRITICAL TEST CASE FOR QUANTUM CHEMICAL MODELS , 1998 .

[4]  R. Mcdiarmid,et al.  The lower Rydberg states of trans‐hexatriene , 1985 .

[5]  H. Ågren,et al.  The hyperpolarizability of trans-butadiene: A critical test case for quantum chemical models , 1997 .

[6]  M. Aoyagi,et al.  Frequency increase of the C:C ag stretch mode of polyenes in the 21Ag- state: ab initio MCSCF study of butadiene, hexatriene, and octatetraene , 1990 .

[7]  M. F. Granville,et al.  Direct absorption spectroscopy of jet‐cooled polyenes. I. The 1 1B+u←1 1A−g transition of trans, trans‐1,3,5,7‐octatetraene , 1984 .

[8]  J. P. Doering,et al.  Electron impact study of the energy levels of trans-1,3-butadiene , 1979 .

[9]  W. Buma,et al.  Location of the 2 1Ag state in hexatriene , 1990 .

[10]  Poul Jørgensen,et al.  The second-order approximate coupled cluster singles and doubles model CC2 , 1995 .

[11]  W. Mallard,et al.  Multiphoton ionization spectra of trans‐1,3‐butadiene: Reassignment of a Rydberg series , 1986 .

[12]  M. Jungen,et al.  Universal Gaussian basis sets for an optimum representation of Rydberg and continuum wavefunctions , 1989 .

[13]  Yi Luo,et al.  Molecular length dependence of optical properties of hydrocarbon oligomers , 1998 .

[14]  R. Bartlett,et al.  Analytic energy gradients for the two-determinant coupled cluster method with application to singlet excited states of butadiene and ozone , 1994 .

[15]  Robert P. Krawczyk,et al.  – conical intersection in trans-butadiene: ultrafast dynamics and optical spectra , 2000 .

[16]  T. Fujii,et al.  Two-photon absorption study of 1,3,5-hexatriene by cars and CSRS , 1985 .

[17]  H. Koch,et al.  Integral-direct coupled cluster calculations of frequency-dependent polarizabilities, transition probabilities and excited-state properties , 1998 .

[18]  Poul Jørgensen,et al.  Perturbative triple excitation corrections to coupled cluster singles and doubles excitation energies , 1996 .

[19]  Robert J. Cave,et al.  On the Vertical and Adiabatic Excitation Energies of the 21Ag State of trans-1,3-Butadiene , 2000 .

[20]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[21]  E. Davidson,et al.  Non-vertical excitation energies for low-lying singlet states of butadiene and hexatriene , 1988 .

[22]  P. Jørgensen,et al.  Large-scale calculations of excitation energies in coupled cluster theory: The singlet excited states of benzene , 1996 .

[23]  J. Olsen,et al.  Quadratic response functions for a multiconfigurational self‐consistent field wave function , 1992 .

[24]  O. Christiansen,et al.  Static and frequency-dependent polarizabilities of excited singlet states using coupled cluster response theory , 1998 .

[25]  A. Kuppermann,et al.  Low energy, variable angle electron-impact excitation of 1,3,5-hexatriene☆ , 1977 .

[26]  J. P. Doering,et al.  100 eV electron impact study of 1,3‐butadiene , 1981 .

[27]  M. Karplus,et al.  Photodynamics of polyenes: The effect of electron correlation on potential surfaces , 1980 .