Theoretica chimica acta

, Volume 90, Issue 2–3, pp 167–187 | Cite as

Multiconfigurational second-order perturbative methods: Overview and comparison of basic properties

  • Jean-Paul Malrieu
  • Jean-Louis Heully
  • Andréi Zaitsevskii


The multiconfigurational second-order perturbative treatments of molecular electronic calculations can be classified into four groups: i) quasi-degenerate perturbation theory (QDPT) in the basis of determinants, ii) non-degenerate perturbation theory applied to eigenvectors resulting from a truncated CI, ii) QDPT in a model space of non-interacting multiconfigurational functions, iv) intermediate Hamiltonians theory, and examined according to three criteria: i) risk of numerical instability due to intruder states, ii) ability to treat the effect of the outer-space on the model space component of the wavefunction, especially important for the treatment of weakly avoided crossings, iii) separability for (A* ... B) problems. None of the existing methods satisfies these three criteria, as shown both by model analysis and real ab initio calculations on LiF and CuF.

Key words

Many-electron correlation problem Perturbation theory Multiconfigurational approaches 


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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Jean-Paul Malrieu
    • 1
  • Jean-Louis Heully
    • 1
  • Andréi Zaitsevskii
    • 1
  1. 1.IRSAMC, Laboratoire de Physique QuantiqueUniversité Paul SabatierToulouse cedexFrance

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