1988International Journal of Quantum ChemistryRequires access

Corrections to correlations energies beyond fourth order moller-plesset (MP4) perturbation theory. Contributions of single, double, and triple substitutions

John A. Pople, Martin Head‐Gordon, Krishnan Raghavachari

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Abstract

Electron correlation energies are calculated for a series of small molecules by fourth-order Møller-Plesset perturbation theory (MP4) and by quadratic configuration interaction methods. A method is suggested for partitioning the correlation contributions beyond fourth order that result from single, double, and triple substitutions. Detailed comparison of the results reveals that termination of the MP perturbation series at fourth order is inadequate for some electron-deficient species (inadequate treatment of double substitutions), for triply-bonded molecules (overestimation of the triples effect), and for some unsaturated radicals (poor treatment of single substitutions).

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Electron correlation energies are calculated for a series of small molecules by fourth-order Møller-Plesset perturbation theory (MP4) and by quadratic configuration interaction methods. A method is suggested for partitioning the correlation contributions beyond fourth order that result from single, double, and triple substitutions. Detailed comparison of the results reveals that termination of the MP perturbation series at fourth order is inadequate for some electron-deficient species (inadequate treatment of double substitutions), for triply-bonded molecules (overestimation of the triples effect), and for some unsaturated radicals (poor treatment of single substitutions).

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Available abstract

Electron correlation energies are calculated for a series of small molecules by fourth-order Møller-Plesset perturbation theory (MP4) and by quadratic configuration interaction methods. A method is suggested for partitioning the correlation contributions beyond fourth order that result from single, double, and triple substitutions. Detailed comparison of the results reveals that termination of the MP perturbation series at fourth order is inadequate for some electron-deficient species (inadequate treatment of double substitutions), for triply-bonded molecules (overestimation of the triples effect), and for some unsaturated radicals (poor treatment of single substitutions).

Key concepts: Møller–Plesset perturbation theory, Electronic correlation, Perturbation theory (quantum mechanics), Chemistry, Perturbation (astronomy), Quadratic equation, Series (stratigraphy), Computational chemistry

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