Elsevier

Chemical Physics Letters

Volume 22, Issue 1, 15 September 1973, Pages 60-64
Chemical Physics Letters

Stieltjes imaging of atomic and molecular photoabsorption profiles

https://doi.org/10.1016/0009-2614(73)80534-2Get rights and content

Abstract

The effective transition frequencies and oscillator strenghts obtained from principal representations of spectral moments, or from variational procedures using appropriate square-integrable basis functions, are employed in the Stieltjes imaging of atomic and molecular photoabsorption profiles.

References (48)

  • J.A.R. Samson

    Advan. At. Mol. Phys.

    (1966)
  • T.E.H. Walker et al.

    Chem. Phys. Letters

    (1972)
  • P.W. Langhoff

    Chem. Phys. Letters

    (1971)
    P.W. Langhoff

    J. Chem. Phys.

    (1972)
  • P.W. Langhoff et al.

    Phys. Rev. Letters

    (1970)
    P.W. Langhoff et al.

    J. Phys.

    (1972)
  • P.W. Langhoff et al.

    J. Chem. Phys.

    (1971)
  • S.J. Karlin et al.
    (1966)
  • T.S. Murtaugh et al.

    J. Chem. Phys.

    (1972)
  • R.P. Madden et al.

    Phys. Rev.

    (1969)
  • J. Geiger

    Z. Physik

    (1964)
  • E.N. Lassettre et al.

    J. Chem. Phys.

    (1964)
  • J.J. van der Wiel et al.

    Physica

    (1971)
  • W.R. harshbarger et al.

    J. Chem. Phys.

    (1973)
  • W.L. Wiese et al.

    Phys. Rev.

    (1968)
  • U. Fano et al.

    Rev. Mod. Phys.

    (1968)
  • D.W. Turner
    (1970)
  • D.R. Bates et al.

    Phil. Trans. Roy. Soc.

    (1949)
  • D.R. Bates

    J. Chem. Phys.

    (1951)
  • E.J. McGuire

    Phys. Rev.

    (1968)
  • M.J. Jamieson

    Intern. J. Quantum Chem.

    (1971)
  • J. Rose et al.

    J. Chem. Phys.

    (1973)
  • H.P. Kelly et al.

    Phys. Rev.

    (1972)
  • H.P. Kelly et al.

    Phys. Rev. Letters

    (1973)
  • G.M. Stacey et al.

    J. Chem. Phys.

    (1968)
  • A.L. Ford et al.

    Phys. Rev.

    (1973)
  • Cited by (127)

    • Electronic Decay Cascades in Chemical Environment

      2020, Molecular Spectroscopy and Quantum Dynamics
    • A Sturmian Approach to Photoionization of Molecules

      2016, Advances in Quantum Chemistry
      Citation Excerpt :

      Next, the RPA dipole matrix elements are calculated solving the corresponding equation, and the results are used to obtain directly PI cross sections or the required observables.174–177 The Stieltjes–Tchebycheff technique (STT), developed by Langhoff and coworkers (see, for example, Ref. 190 and 191 and references therein), is based on theorems from the theory of moments192; its flexibility allows the use of different type of basis sets.191,193,194 The technique has been widely and successfully used to study ionization processes in different atomic and molecular systems.

    • Capturing Correlation Effects on Photoionization Dynamics

      2021, Journal of Chemical Theory and Computation
    View all citing articles on Scopus

    Supported in part by a grant from the Petroleum Research Fund, administered by the American Chemical Society.

    View full text