Comparative study of multireference perturbative theories for ground and excited states

Mark R. Hoffmann, Dipayan Datta, Sanghamitra Das, Debashis Mukherjee, A. Szabados, Z. Rolik, P. Surján

Research output: Article

43 Citations (Scopus)

Abstract

Three recently developed multireference perturbation theories (PTs)-generalized Van Vleck PT (GVVPT), state-specific multireference PT (SS-MRPT), and multiconfiguration PT (MCPT)-are briefly reviewed and compared numerically on representative examples, at the second order of approximations. We compute the dissociation potential curve of the LiH molecule and the BeH 2 system at various geometries, both in the ground and in the first excited singlet state. Furthermore, the ethylene twisting process is studied. Both Møller-Plesset (MP) and Epstein-Nesbet partition are used for MCPT and SS-MRPT, while GVVPT uses MP partitioning. An important thrust in our comparative study is to ascertain the degree of interplay of dynamical and nondynamical correlation for both ground and excited states. The same basis set and the same set of orbitals are used in all calculations to keep artifactual differences away when comparing the results. Nonparallelity error is used as a measure of the performance of the respective theories. Significant differences among the three methods appear when an intruder state is present. Additionally, difficulties arise (a) in MCPT when the choice of a pivot determinant becomes problematic, and (b) in SS-MRPT when there are small coefficients of the model function and there is implicit division by these coefficients, which generates a potential instability of the solutions. Ways to alleviate these latter shortcomings are suggested.

Original languageEnglish
Article number204104
JournalThe Journal of Chemical Physics
Volume131
Issue number20
DOIs
Publication statusPublished - 2009

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Excited states
Ground state
perturbation theory
ground state
excitation
pivots
Molecules
Geometry
twisting
coefficients
determinants
thrust
division
partitions
ethylene
dissociation
orbitals
curves
geometry
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Comparative study of multireference perturbative theories for ground and excited states. / Hoffmann, Mark R.; Datta, Dipayan; Das, Sanghamitra; Mukherjee, Debashis; Szabados, A.; Rolik, Z.; Surján, P.

In: The Journal of Chemical Physics, Vol. 131, No. 20, 204104, 2009.

Research output: Article

Hoffmann, Mark R. ; Datta, Dipayan ; Das, Sanghamitra ; Mukherjee, Debashis ; Szabados, A. ; Rolik, Z. ; Surján, P. / Comparative study of multireference perturbative theories for ground and excited states. In: The Journal of Chemical Physics. 2009 ; Vol. 131, No. 20.
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