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Title: Molecular photoionization cross sections by Stieltjes-Chebyshev moment theory applied to Lanczos pseudospectra

Abstract

Stieltjes imaging technique is widely used for the ab initio computation of photoionization cross sections and decay widths. The main problem hampering the application of the standard Stieltjes imaging algorithms in conjunction with high-level ab initio methods to polyatomic molecules is the requirement of full diagonalization of excessively large Hamiltonian matrices. Here we show that the full diagonalization bottleneck can be overcome by applying the Stieltjes imaging procedure to Lanczos pseudospectrum of the atomic or molecular Hamiltonian. Using the helium and neon atoms as examples, we demonstrate that the Lanczos pseudospectrum obtained after only a relatively small number of iterations can be used for Stieltjes-type calculations of photoionization cross sections essentially without loss of accuracy. The new technique is applied to the calculation of the total photoionization cross section of benzene within an ab initio approach explicitly taking into account single and double electronic excitations. Good agreement with experimental results is obtained.

Authors:
; ;  [1]; ;  [2];  [3]
  1. Theoretische Chemie, Physikalisch-Chemisches Institut, Universitaet Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg (Germany)
  2. Dipartimento di Chimica, Universita degli Studi di Perugia and CNR I.S.T.M., Via Elce di Sotto 8, 06123 Perugia (Italy)
  3. Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, D-01187 Dresden (Germany)
Publication Date:
OSTI Identifier:
21255532
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 130; Journal Issue: 6; Other Information: DOI: 10.1063/1.3073821; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ALGORITHMS; BENZENE; CALCULATION METHODS; CROSS SECTIONS; HAMILTONIANS; HELIUM; MATRICES; NEON; PHOTOIONIZATION; PHOTON-ATOM COLLISIONS; PHOTON-MOLECULE COLLISIONS

Citation Formats

Gokhberg, K, Vysotskiy, V, Cederbaum, L S, Storchi, L, Tarantelli, F, and Averbukh, V. Molecular photoionization cross sections by Stieltjes-Chebyshev moment theory applied to Lanczos pseudospectra. United States: N. p., 2009. Web. doi:10.1063/1.3073821.
Gokhberg, K, Vysotskiy, V, Cederbaum, L S, Storchi, L, Tarantelli, F, & Averbukh, V. Molecular photoionization cross sections by Stieltjes-Chebyshev moment theory applied to Lanczos pseudospectra. United States. https://doi.org/10.1063/1.3073821
Gokhberg, K, Vysotskiy, V, Cederbaum, L S, Storchi, L, Tarantelli, F, and Averbukh, V. 2009. "Molecular photoionization cross sections by Stieltjes-Chebyshev moment theory applied to Lanczos pseudospectra". United States. https://doi.org/10.1063/1.3073821.
@article{osti_21255532,
title = {Molecular photoionization cross sections by Stieltjes-Chebyshev moment theory applied to Lanczos pseudospectra},
author = {Gokhberg, K and Vysotskiy, V and Cederbaum, L S and Storchi, L and Tarantelli, F and Averbukh, V},
abstractNote = {Stieltjes imaging technique is widely used for the ab initio computation of photoionization cross sections and decay widths. The main problem hampering the application of the standard Stieltjes imaging algorithms in conjunction with high-level ab initio methods to polyatomic molecules is the requirement of full diagonalization of excessively large Hamiltonian matrices. Here we show that the full diagonalization bottleneck can be overcome by applying the Stieltjes imaging procedure to Lanczos pseudospectrum of the atomic or molecular Hamiltonian. Using the helium and neon atoms as examples, we demonstrate that the Lanczos pseudospectrum obtained after only a relatively small number of iterations can be used for Stieltjes-type calculations of photoionization cross sections essentially without loss of accuracy. The new technique is applied to the calculation of the total photoionization cross section of benzene within an ab initio approach explicitly taking into account single and double electronic excitations. Good agreement with experimental results is obtained.},
doi = {10.1063/1.3073821},
url = {https://www.osti.gov/biblio/21255532}, journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 6,
volume = 130,
place = {United States},
year = {Sat Feb 14 00:00:00 EST 2009},
month = {Sat Feb 14 00:00:00 EST 2009}
}